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Apsis

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is moving on a stable orbit around the Sun, the position of the Earth's center which is on average about 4,700 kilometres (2,900 mi) from the barycenter, could be shifted in any direction from it—and this affects the timing of the actual closest approach between the Sun's and the Earth's centers
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In the northern hemisphere, summer occurs at the same time as aphelion, when solar radiation is lowest. Despite this, summers in the northern hemisphere are on average 2.3 °C (4 °F) warmer than in the southern hemisphere, because the northern hemisphere contains larger land masses, which
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McKevitt, James; Bulla, Sophie; Dixon, Tom; Criscola, Franco; Parkinson-Swift, Jonathan; Bornberg, Christina; Singh, Jaspreet; Patel, Kuren; Laad, Aryan; Forder, Ethan; Ayin-Walsh, Louis; Beegadhur, Shayne; Wedde, Paul; Pappula, Bharath Simha Reddy; McDougall, Thomas; Foghis, Madalin; Kent, Jack;
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For the orbit of the Earth around the Sun, the time of apsis is often expressed in terms of a time relative to seasons, since this determines the contribution of the elliptical orbit to seasonal variations. The variation of the seasons is primarily controlled by the annual cycle of the elevation
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is minimum at aphelion and maximum at perihelion, the planet takes longer to orbit from June solstice to September equinox than it does from December solstice to March equinox. Therefore, summer in the northern hemisphere lasts slightly longer (93 days) than summer in the southern hemisphere (89
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R. Schödel; T. Ott; R. Genzel; R. Hofmann; M. Lehnert; A. Eckart; N. Mouawad; T. Alexander; M. J. Reid; R. Lenzen; M. Hartung; F. Lacombe; D. Rouan; E. Gendron; G. Rousset; A.-M. Lagrange; W. Brandner; N. Ageorges; C. Lidman; A. F. M. Moorwood; J. Spyromilio; N. Hubin; K. M. Menten (October 17,
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point (compare both graphics, second figure). The line of apsides denotes the distance of the line that joins the nearest and farthest points across an orbit; it also refers simply to the extreme range of an object orbiting a host body (see top figure; see third figure).
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On a very long time scale, the dates of the perihelion and of the aphelion progress through the seasons, and they make one complete cycle in 22,000 to 26,000 years. There is a corresponding movement of the position of the stars as seen from Earth, called the
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discovered when 80+ AU from the Sun need dozens of observations over multiple years to well constrain their orbits because they move very slowly against the background stars. Due to statistics of small numbers, trans-Neptunian objects such as
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Regarding black holes, the term peribothron was first used in a 1976 paper by J. Frank and M. J. Rees, who credit W. R. Stoeger for suggesting creating a term using the greek word for pit: "bothron".
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Since the Sun, Ἥλιος in Greek, begins with a vowel (H is the long ē vowel in Greek), the final o in "apo" is omitted from the prefix. =The pronunciation "Ap-helion" is given in many dictionaries
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in the other one. Winter falls on the hemisphere where sunlight strikes least directly, and summer falls where sunlight strikes most directly, regardless of the Earth's distance from the Sun.
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Because of the increased distance at aphelion, only 93.55% of the radiation from the Sun falls on a given area of Earth's surface as does at perihelion, but this does not account for the
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to effectively those at a different epoch will generate differences. The time-of-perihelion-passage as one of six osculating elements is not an exact prediction (other than for a generic
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5th edition, 1994, p. 114), since in late Greek, 'p' from ἀπό followed by the 'h' from ἥλιος becomes phi; thus, the Greek word is αφήλιον. (see, for example, Walker, John,
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Note that for conversion from heights above the surface to distances between an orbit and its primary, the radius of the central body has to be added, and conversely.
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and other orbital elements are not constant, but vary slowly due to the perturbing effects of the planets and other objects in the solar system (Milankovitch cycles).
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came to perihelion on 26 December 2021, but using a two-body solution at an epoch of July 2021 less accurately shows Vesta came to perihelion on 25 December 2021.
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where a planet's tilted orbit intersects the plane of reference; here they may be 'seen' as the points where the blue section of an orbit meets the pink.
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will come to perihelion around December 2257. Using an epoch of 2021, which is 236 years early, less accurately shows Eris coming to perihelion in 2260.
2128:, and in 2000 it was about 282.895°; by 2010, this had advanced by a small fraction of a degree to about 283.067°, i.e. a mean increase of 62" per year. 2033:. The radius of the Sun is 0.7 million km, and the radius of Jupiter (the largest planet) is 0.07 million km, both too small to resolve on this image. 4538: 1994: 4397:"Goniopolarimetric study of the revolution 29 perikrone using the Cassini Radio and Plasma Wave Science instrument high-frequency radio receiver" 3771: 3751: 3705:. To get an accurate time of perihelion passage you need to use an epoch close to the perihelion passage. For example, using an epoch of 1996, 3570:{\displaystyle e={\frac {r_{\text{ap}}-r_{\text{per}}}{r_{\text{ap}}+r_{\text{per}}}}=1-{\frac {2}{{\frac {r_{\text{ap}}}{r_{\text{per}}}}+1}}} 1995: 931:, the farthest point of the orbiting body, is the apocenter (also apoapsis) of the orbit; and the red line between them is the line of apsides. 3717:
coming to perihelion on 25 December 2005, but using an epoch of 2012 produces a less accurate unperturbed perihelion date of 20 January 2006.
4644:"How much does aphelion affect our weather? We're at aphelion in the summer. Would our summers be warmer if we were at perihelion, instead?" 4512: 4448:
Morgan, James; Raj, Utkarsh; Heinreichsberger, Carina (June 18, 2021). "An L-class Multirole Observatory and Science Platform for Neptune".
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The dates of perihelion and aphelion change over time due to precession and other orbital factors, which follow cyclical patterns known as
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The chart shows the extreme range—from the closest approach (perihelion) to farthest point (aphelion)—of several orbiting
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The words "pericenter" and "apocenter" are often seen, although periapsis/apoapsis are preferred in technical usage.
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shows perihelion on 1 April 1997. Using an epoch of 2008 shows a less accurate perihelion date of 30 March 1997.
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of 23.4° away from perpendicular to the plane of Earth's orbit. Indeed, at both perihelion and aphelion it is
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form is also used as a generic closest-approach-to "any planet" term—instead of applying it only to Earth.
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of the spacecraft above the surface of the central body (assuming a constant, standard reference radius).
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2002). "A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way".
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The perihelion (q) and aphelion (Q) are the nearest and farthest points respectively of a body's direct
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to describe the orbital motions of the planets around the Sun. The words are formed from the prefixes
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are frequently used in the astronomical literature when referring to the Earth, Sun, stars, and the
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system. However, only for the Earth, Moon and Sun systems are the unique suffixes commonly used.
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not in terms of days and hours, but rather as an angle of orbital displacement, the so-called
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are also used. Since the Moon has no natural satellites this only applies to man-made objects.
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of the 2-body system and the center of mass of the orbiting body. However, in the case of a
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angle of the Sun, which is a result of the tilt of the axis of the Earth measured from the
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Perihelion and aphelion do however have an indirect effect on the seasons: because Earth's
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Currently, the Earth reaches perihelion in early January, approximately 14 days after the
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Cecconi, B.; Lamy, L.; Zarka, P.; Prangé, R.; Kurth, W. S.; Louarn, P. (March 4, 2009).
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of 1 year that have not or will not come to perihelion for roughly 100 years can have a
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NASA Lunar Exploration – Gateway's Power and Propulsion Element Communications Links
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have distinct names to differentiate themselves from other apsides; these names are
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The apsides refer to the farthest (2) and nearest (3) points reached by an orbiting
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A Key to the Classical Pronunciation of Greek, Latin, and Scripture Proper Names
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can be even more sensitive to the epoch selected. Using an epoch of 2005 shows
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planets, situated outward from the Sun as Mercury, Venus, Earth, and Mars. The
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to form unique names of apsides for the orbiting bodies of the indicated host/
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are used for naming the extreme points of orbits (see table, top figure);
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Earth's Seasons: Equinoxes, Solstices, Perihelion, and Aphelion, 2000–2020
3930:"Happy Aphelion Day! Earth is at its farthest from the sun for 2023 today" 3888: 1353:; they reference Cynthia, an alternative name for the Greek Moon goddess 5786: 5621: 5391: 5371: 5288: 4420: 4292: 1350: 1129: 840:, with a suffix that describes the primary body. The suffix for Earth is 593: 4309: 4084:. Vol. 21 (11th ed.). Cambridge University Press. p. 149. 5354: 5068: 4877:"Horizons Batch for Eris at perihelion around 7 December 2257 ±2 weeks" 3812: 2566: 2090: 2078: 2022: 1756: 1740: 903: 899: 797: 673: 629: 588: 366: 2116:
Astronomers commonly express the timing of perihelion relative to the
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from the Sun. The left and right edges of each bar correspond to the
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For generic situations where the primary is not specified, the terms
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of the two limiting distances is the length of the semi-major axis
2026: 1880: 1876: 1673: 907: 342: 4439: 3648:{\displaystyle {\sqrt {-2\varepsilon }}={\sqrt {\frac {\mu }{a}}}} 2082:(which in turn defines the timing of perihelion in a given year). 5676: 3795: 3658:
which is the speed of a body in a circular orbit whose radius is
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uncertainty of 77.3 years (28,220 days) in the perihelion date.
3120:{\textstyle v_{\text{ap}}={\sqrt {\frac {(1-e)\mu }{(1+e)a}}}\,} 4937:(Perihelion occurs when rdot flips from negative to positive). 4848:(Perihelion occurs when rdot flips from negative to positive). 4129:
A Comprehensive Etymological Dictionary of the English Language
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has very rarely been used in the last 50 years for Saturn. The
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list of Main-Belt Asteroids (H<8) sorted by perihelion date
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Dates and times of Earth's perihelion and aphelion, 2000–2025
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with its nearest (perihelion) and farthest (aphelion) points
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Host objects in the Solar System with named/nameable apsides
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The Encyclopedia of Astrobiology, Astronomy, and Spaceflight
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The perihelion (green) and aphelion (orange) points of the
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The perihelion (green) and aphelion (orange) points of the
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List of asteroids currently closer to the Sun than Mercury
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Either of two extreme points in a celestial object's orbit
4206:"Effects of massive black holes on dense stellar systems" 4040:
McGraw Hill Dictionary of Scientific and Technical Terms,
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R. Dendy; D. Zeleznikar; M. Zemba (September 27, 2021).
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The American Heritage Dictionary of the English Language
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is the distance from the pericenter to the primary focus
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is the distance from the apocenter to the primary focus
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characterize the pericenter and apocenter of an orbit:
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of the body, respectively, hence long bars denote high
810:. The name for each apsis is created from the prefixes 4394: 3342: 3313: 3133: 3056: 3002: 2925: 1855:) of the actual minimum distance to the Sun using the 1287:, away from), affixed to the Greek word for the Sun, ( 906:, the terms are commonly used to refer to the orbital 5873: 4018: 4003: 3664: 3616: 3458: 3381: 3266: 3247:{\displaystyle h={\sqrt {\left(1-e^{2}\right)\mu a}}} 3201: 1975:
of the orbits of various objects around a host body.
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planets, being Jupiter, Saturn, Uranus, and Neptune.
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2021 Global Space Exploration Conference Proceedings
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in a story published in 1998, thus appearing before
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For other uses, see 5945: 4997:: CS1 maint: bot: original URL status unknown ( 4701:"Earth at Perihelion and Aphelion: 2001 to 2100" 3294:{\displaystyle \varepsilon =-{\frac {\mu }{2a}}} 2039: 1909:The orbital nodes are the two end points of the 788:: The smaller, satellite body (blue) orbits the 4809:"101P/Chernykh – A (NK 1293) by Syuichi Nakano" 4561:"Variation in Times of Perihelion and Aphelion" 2545:from the Sun at their perihelion and aphelion. 2537:The following table shows the distances of the 1809:"Aphelion" redirects here. For other uses, see 1682:Other host objects with named/nameable apsides 4979:. Archived from the original on March 14, 2018 4401:Journal of Geophysical Research: Space Physics 4097: 4095: 4093: 4091: 321:, of its orbit around the host Sun. The terms 313:. Earth's two apsides are the farthest point, 293:for the nearest point in the solar orbit. The 5084: 3854:Hyperbolic trajectory § Closest approach 2070:or 152,097,700 km (94,509,100 mi). 2048:. At perihelion, the Earth's center is about 1132:, the point of least distance are called the 1019:), and the point of greatest distance is the 756: 4927: 4838: 4238: 5059:(These objects will be close to perihelion) 4935:"Horizons Batch for 4 Vesta on 2021-Dec-26" 4204:Frank, J.; Rees, M.J. (September 1, 1976). 4088: 2873: 2844: 2815: 2786: 2693:1,503,509,229 km (934,237,322 mi) 2690:1,349,823,615 km (838,741,509 mi) 1783: 836: 'near') for the closest point to the 5858: 5091: 5077: 4955:(Epoch 2021-Jul-01/Soln.date: 2021-Apr-13) 4496: 3597:of the two distances is the length of the 2765: 2733: 2704: 2683: 2662: 2641: 2620: 2599: 2578: 1890:The first image (below-left) features the 1797: 763: 749: 254:) is the farthest or nearest point in the 4457: 4291: 4256:, by Geoffrey Landis, first published in 4229: 3116: 2985: 2775:446,428,973 km (277,398,103 mi) 2772:380,951,528 km (236,712,305 mi) 2672:816,001,807 km (507,040,016 mi) 2669:740,679,835 km (460,237,112 mi) 2651:249,232,432 km (154,865,853 mi) 2648:206,655,215 km (128,409,597 mi) 1298:Various related terms are used for other 146:Learn how and when to remove this message 5098: 5024:Photographic Size Comparison, perseus.gr 5018:Photographic Size Comparison, perseus.gr 4535:"Perihelion, Aphelion and the Solstices" 4068: 3955:"Earth-Moon Barycenter - SkyMarvels.com" 3907: 3821:when it had only 8 observations over an 2903: 2630:152,098,233 km (94,509,460 mi) 2627:147,098,291 km (91,402,640 mi) 2609:108,942,780 km (67,693,910 mi) 2606:107,476,170 km (66,782,600 mi) 1815: 912: 779: 277:Apsides pertaining to orbits around the 159: 4945:from the original on September 26, 2021 4889:from the original on September 13, 2021 4678:"Data.GISS: Earth's Orbital Parameters" 4597:from the original on September 29, 2015 4109:from the original on September 30, 2019 3927: 3744: 2588:69,817,445 km (43,382,549 mi) 2585:46,001,009 km (28,583,702 mi) 825: 'away from') for the farthest or 329:apply in the same way to the orbits of 297:'s two apsides are the farthest point, 14: 5946: 5737:Transposition, docking, and extraction 4856:from the original on February 12, 2023 1871:The two images below show the orbits, 1398: 1326:is occasionally used for Jupiter, but 775: 5072: 4915:from the original on January 31, 2018 4567:from the original on January 11, 2018 4484:from the original on December 8, 2015 4427:from the original on December 9, 2019 4376:from the original on October 24, 2018 4346:from the original on November 8, 2018 4059:dictionaries give both pronunciations 3977: 3975: 3681: 1080:, the point of least distance is the 971:, the point of least distance is the 875:are independent of the smaller mass. 4869: 4834:JPL SBDB: 101P/Chernykh (Epoch 2012) 4815:from the original on October 3, 2020 4641: 4541:from the original on January 3, 2018 4515:from the original on August 23, 2019 2996:, at minimum (pericenter) distance, 2157: 2017:Distances of selected bodies of the 84:adding citations to reliable sources 55: 4866:(JPL#K242/3 Soln.date: 2022-Oct-24) 4698: 4502: 4185:from the original on March 29, 2022 4156:from the original on March 19, 2010 3127:, at maximum (apocenter) distance, 2887:14,594,512,904 km (9.068609883 1950: 784:The two-body system of interacting 202: 24: 4789:from the original on July 17, 2020 4763:from the original on July 16, 2020 4757:"JPL SBDB: Hale-Bopp (Epoch 1996)" 4711:from the original on July 13, 2021 4623:from the original on July 17, 2015 4466: 4435:– via ui.adsabs.harvard.edu. 3972: 3192:Specific relative angular momentum 3037:{\textstyle r_{\text{per}}=(1-e)a} 2880:5,765,732,799 km (3.582660263 2858:7,894,762,625 km (4.905578065 2851:5,671,928,586 km (3.524373028 2829:7,706,399,149 km (4.788534427 2822:5,157,623,774 km (3.204798834 2800:7,376,124,302 km (4.583311152 2793:4,436,756,954 km (2.756872958 2747:4,537,039,826 km (2.819185846 2740:4,459,753,056 km (2.771162073 2718:3,006,318,143 km (1.868039489 2711:2,734,998,229 km (1.699449110 2148:. (This is closely related to the 2105:are easier to heat than the seas. 25: 5965: 5797:Kepler's laws of planetary motion 5009: 4731:"NASA planetary comparison chart" 4658:from the original on July 6, 2020 4366:"Dawn Journal: 11 Years in Space" 3181:Kepler's laws of planetary motion 3168:{\textstyle r_{\text{ap}}=(1+e)a} 1113:), and of greatest distance, the 535:Kepler's laws of planetary motion 5931: 5919: 5907: 5895: 5883: 5857: 5792:Interplanetary Transport Network 5672:Collision avoidance (spacecraft) 3993: 3439:standard gravitational parameter 2532: 2089:, which result instead from the 1934: 1918: 1189: 1183:) and the greatest distance the 1138: 1086: 1025: 977: 365: 309:, of its orbit around the host 210: 60: 5757:Astronomical coordinate systems 5511:Longitude of the ascending node 5052:United States Naval Observatory 4969: 4958: 4901: 4827: 4801: 4775: 4749: 4723: 4692: 4670: 4635: 4579: 4553: 4527: 4388: 4358: 4332: 4270: 4262:, January 1998, republished at 4197: 4168: 4131:, Elsevier, Amsterdam, 1965. ( 2557:Distance from Sun at perihelion 1867:Inner planets and outer planets 1072:When discussing a satellite of 878:When used as a suffix—that is, 270:is the line connecting the two 71:needs additional citations for 5830:Retrograde and prograde motion 4965:JPL SBDB: 4 Vesta (Epoch 2021) 4138: 4121: 4062: 3947: 3921: 3917:(5th ed.). HarperCollins. 3901: 3881: 3701:that does not account for the 3183:(based on the conservation of 3159: 3147: 3106: 3094: 3086: 3074: 3028: 3016: 2975: 2963: 2955: 2943: 2097:in one hemisphere while it is 935: 13: 1: 4909:"JPL SBDB: Eris (Epoch 2021)" 3874: 3801: 2560:Distance from Sun at aphelion 2040:Earth perihelion and aphelion 852:. For the Sun, the suffix is 806:There are two apsides in any 5777:Equatorial coordinate system 4652:University of Southern Maine 4619:. Space Weather. July 2008. 4340:"MAVEN » Science Orbit" 3839:Distance of closest approach 3697:chosen using an unperturbed 1357:. More recently, during the 1349:were used when referring to 1254: 844:, so the apsides' names are 168:(2 and 3) with respect to a 7: 4052:September 21, 2019, at the 3864:Perifocal coordinate system 3832: 3734:time of perihelion passage 3356:{\textstyle r_{\text{per}}} 1820:Diagram of a body's direct 1804:Perihelion (disambiguation) 689:Tsiolkovsky rocket equation 10: 5970: 5529:Longitude of the periapsis 4252:February 25, 2019, at the 4146:"Apollo 15 Mission Report" 3987:December 22, 2015, at the 3691:time of perihelion passage 3327:{\textstyle r_{\text{ap}}} 3179:While, in accordance with 2122:longitude of the periapsis 1900:orbital plane of reference 1808: 1801: 1322:respectively. The suffix 658:Engineering and efficiency 477:Bi-elliptic transfer orbit 187: 44: 29: 5853: 5840:Specific angular momentum 5745: 5657: 5601: 5537: 5490: 5430: 5421: 5317: 5227: 5116: 5107: 5046:October 13, 2007, at the 5033:October 13, 2007, at the 4474:"the definition of apsis" 3894:Dictionary.com Unabridged 2761: 2574: 2163: 2160: 1811:Aphelion (disambiguation) 317:, and the nearest point, 303:, and the nearest point, 4259:Asimov's Science Fiction 4103:"Basics of Space Flight" 3928:Joe Rao (July 6, 2023). 2181: 2178: 2171: 2168: 967:For a body orbiting the 684:Propellant mass fraction 583:Gravitational influences 45:Not to be confused with 36:Perigee (disambiguation) 5835:Specific orbital energy 4231:10.1093/mnras/176.3.633 4081:Encyclopædia Britannica 3807:Trans-Neptunian objects 3745:Date of perihelion (tp) 3257:Specific orbital energy 2126:longitude of perihelion 1798:Perihelion and aphelion 869:Newton's laws of motion 555:Specific orbital energy 32:Apogee (disambiguation) 5247:Geostationary transfer 4977:"JPL SBDB: 2015 TH367" 4046:, Townsend Young 1859 4031:July 29, 2017, at the 3672: 3649: 3571: 3424: 3357: 3328: 3295: 3248: 3169: 3121: 3038: 2990: 2150:precession of the axes 1877:Earth's ecliptic plane 1829: 1784: 1125:), "land" or "earth"). 932: 803: 472:Hohmann transfer orbit 173: 170:primary, or host, body 5820:Orbital state vectors 5762:Characteristic energy 5732:Trans-lunar injection 5520:Argument of periapsis 5197:Prograde / Retrograde 5158:Hyperbolic trajectory 5022:Aphelion – Perihelion 4783:"JPL SBDB: Hale-Bopp" 3783:Numerical integration 3673: 3650: 3572: 3425: 3358: 3329: 3296: 3249: 3170: 3122: 3039: 2991: 2904:Mathematical formulae 2134:plane of the ecliptic 1885:Earth's orbital plane 1861:numerical integration 1819: 1419:studies commonly use 916: 794:common center of mass 783: 668:Preflight engineering 400:Argument of periapsis 287:for the farthest and 201: 'arch, vault'; 163: 40:Apse (disambiguation) 5667:Bi-elliptic transfer 5187:Parabolic trajectory 4421:10.1029/2008JA013830 3662: 3614: 3456: 3379: 3340: 3311: 3264: 3199: 3131: 3054: 3000: 2923: 2118:First Point of Aries 2091:tilt of Earth's axis 2031:orbital eccentricity 1973:the lines of apsides 1857:full dynamical model 886:point, or 2) at the 724:Propulsive maneuvers 80:improve this article 5707:Low-energy transfer 4688:on October 2, 2015. 4642:Rockport, Steve C. 4617:"Earth at Aphelion" 4537:. timeanddate.com. 4413:2009JGRA..114.3215C 4310:10.1038/nature01121 4302:2002Natur.419..694S 4222:1976MNRAS.176..633F 3849:Flyby (spaceflight) 3735: 3711:Short-period comets 3693:are defined at the 2075:Milankovitch cycles 1945:of the Solar System 1929:of the Solar System 1845:osculating elements 1683: 1432: 1427:, is used instead. 1399:Terminology summary 856:, so the names are 776:General description 701:Efficiency measures 604:Sphere of influence 573:Celestial mechanics 355:Part of a series on 5702:Inclination change 5350:Distant retrograde 4682:data.giss.nasa.gov 3959:www.skymarvels.com 3722: 3682:Time of perihelion 3668: 3645: 3567: 3420: 3353: 3324: 3291: 3244: 3165: 3117: 3034: 2986: 2146:apsidal precession 2056:astronomical units 1830: 1681: 1430: 1385:Geoffrey A. Landis 933: 873:orbital parameters 804: 520:Dynamical friction 174: 38:, and 5871: 5870: 5845:Two-line elements 5653: 5652: 5575:Eccentric anomaly 5417: 5416: 5284:Orbit of the Moon 5143:Highly elliptical 4737:on August 4, 2016 4370:www.planetary.org 4286:(6908): 694–696. 4216:(6908): 633–646. 4056:, page 26.) Many 3844:Eccentric anomaly 3780: 3779: 3699:two-body solution 3671:{\displaystyle a} 3643: 3642: 3628: 3565: 3556: 3553: 3543: 3517: 3513: 3500: 3488: 3475: 3418: 3411: 3398: 3350: 3321: 3289: 3242: 3141: 3114: 3113: 3064: 3010: 2983: 2982: 2933: 2901: 2900: 2530: 2529: 2046:December solstice 1795: 1794: 1679: 1678: 1351:orbiting the Moon 1300:celestial objects 896:orbital mechanics 773: 772: 623:Lagrangian points 560:Vis-viva equation 530:Kepler's equation 377:Orbital mechanics 156: 155: 148: 130: 16:(Redirected from 5961: 5936: 5935: 5934: 5924: 5923: 5922: 5912: 5911: 5910: 5900: 5899: 5888: 5887: 5886: 5879: 5861: 5860: 5802:Lagrangian point 5697:Hohmann transfer 5642: 5628: 5619: 5610: 5590: 5581: 5572: 5563: 5559: 5555: 5546: 5526: 5517: 5508: 5499: 5479: 5475: 5466: 5457: 5448: 5428: 5427: 5397:Heliosynchronous 5346:Lagrange points 5299:Transatmospheric 5114: 5113: 5093: 5086: 5079: 5070: 5069: 5016:Apogee – Perigee 5003: 5002: 4996: 4988: 4986: 4984: 4973: 4967: 4962: 4956: 4954: 4952: 4950: 4931: 4925: 4924: 4922: 4920: 4905: 4899: 4898: 4896: 4894: 4873: 4867: 4865: 4863: 4861: 4842: 4836: 4831: 4825: 4824: 4822: 4820: 4805: 4799: 4798: 4796: 4794: 4779: 4773: 4772: 4770: 4768: 4753: 4747: 4746: 4744: 4742: 4733:. Archived from 4727: 4721: 4720: 4718: 4716: 4696: 4690: 4689: 4684:. Archived from 4674: 4668: 4667: 4665: 4663: 4639: 4633: 4632: 4630: 4628: 4613: 4607: 4606: 4604: 4602: 4583: 4577: 4576: 4574: 4572: 4557: 4551: 4550: 4548: 4546: 4531: 4525: 4524: 4522: 4520: 4503:Darling, David. 4500: 4494: 4493: 4491: 4489: 4470: 4464: 4463: 4461: 4445:Example of use: 4443: 4437: 4436: 4434: 4432: 4392: 4386: 4385: 4383: 4381: 4362: 4356: 4355: 4353: 4351: 4336: 4330: 4329: 4295: 4293:astro-ph/0210426 4274: 4268: 4242: 4236: 4235: 4233: 4201: 4195: 4194: 4192: 4190: 4172: 4166: 4165: 4163: 4161: 4142: 4136: 4133:Archived version 4125: 4119: 4118: 4116: 4114: 4099: 4086: 4085: 4077: 4066: 4060: 4035:is also common ( 4025: 4024: 4021: 4020: 4017: 4014: 4011: 4008: 4005: 4002: 3999: 3979: 3970: 3969: 3967: 3965: 3951: 3945: 3944: 3942: 3940: 3925: 3919: 3918: 3905: 3899: 3898: 3885: 3820: 3818: 3817: 3776:2024-Apr-23.069 3766:2024-Apr-21.139 3756:2024-Apr-19.892 3736: 3721: 3687:Orbital elements 3677: 3675: 3674: 3669: 3654: 3652: 3651: 3646: 3644: 3635: 3634: 3629: 3618: 3576: 3574: 3573: 3568: 3566: 3564: 3557: 3555: 3554: 3551: 3545: 3544: 3541: 3535: 3529: 3518: 3516: 3515: 3514: 3511: 3502: 3501: 3498: 3491: 3490: 3489: 3486: 3477: 3476: 3473: 3466: 3429: 3427: 3426: 3421: 3419: 3414: 3413: 3412: 3409: 3400: 3399: 3396: 3389: 3362: 3360: 3359: 3354: 3352: 3351: 3348: 3333: 3331: 3330: 3325: 3323: 3322: 3319: 3300: 3298: 3297: 3292: 3290: 3288: 3277: 3253: 3251: 3250: 3245: 3243: 3235: 3231: 3230: 3229: 3209: 3185:angular momentum 3174: 3172: 3171: 3166: 3143: 3142: 3139: 3126: 3124: 3123: 3118: 3115: 3112: 3092: 3072: 3071: 3066: 3065: 3062: 3043: 3041: 3040: 3035: 3012: 3011: 3008: 2995: 2993: 2992: 2987: 2984: 2981: 2961: 2941: 2940: 2935: 2934: 2931: 2890: 2883: 2877: 2861: 2854: 2848: 2832: 2825: 2819: 2803: 2796: 2790: 2769: 2750: 2743: 2737: 2721: 2714: 2708: 2687: 2666: 2645: 2624: 2603: 2582: 2548: 2547: 2155: 2154: 2069: 2067: 2054: 2053: 1957:celestial bodies 1951:Lines of apsides 1938: 1922: 1787: 1684: 1680: 1670: 1666: 1649: 1628: 1624: 1620: 1616: 1595: 1578: 1561: 1536: 1532: 1528: 1511: 1494: 1477: 1460: 1433: 1429: 1369:have been used. 1233: 1232: 1229: 1228: 1225: 1222: 1219: 1216: 1213: 1210: 1207: 1204: 1201: 1198: 1195: 1182: 1181: 1178: 1177: 1174: 1171: 1168: 1165: 1162: 1159: 1156: 1153: 1150: 1147: 1144: 1112: 1111: 1108: 1107: 1104: 1101: 1098: 1095: 1092: 1076:, including the 1060: 1059: 1056: 1055: 1052: 1049: 1046: 1043: 1040: 1037: 1034: 1031: 1018: 1017: 1014: 1013: 1010: 1007: 1004: 1001: 998: 995: 992: 989: 986: 983: 921:orbital elements 765: 758: 751: 730:Orbital maneuver 679:Payload fraction 659: 640:Lissajous orbits 574: 545:Orbital velocity 492:Hyperbolic orbit 388:Orbital elements 378: 369: 352: 351: 250: 245: 244: 241: 240: 237: 234: 231: 228: 225: 222: 219: 216: 204: 198: 191: 151: 144: 140: 137: 131: 129: 88: 64: 56: 21: 5969: 5968: 5964: 5963: 5962: 5960: 5959: 5958: 5944: 5943: 5942: 5932: 5930: 5920: 5918: 5908: 5906: 5894: 5884: 5882: 5874: 5872: 5867: 5849: 5767:Escape velocity 5748: 5741: 5722:Rocket equation 5649: 5641: 5635: 5626: 5617: 5608: 5597: 5588: 5579: 5570: 5561: 5557: 5553: 5544: 5533: 5524: 5515: 5506: 5497: 5486: 5477: 5473: 5469:Semi-minor axis 5464: 5460:Semi-major axis 5455: 5446: 5440: 5413: 5335:Areosynchronous 5319: 5313: 5294:Sun-synchronous 5279:Near-equatorial 5223: 5103: 5097: 5048:Wayback Machine 5037:, usno.navy.mil 5035:Wayback Machine 5012: 5007: 5006: 4990: 4989: 4982: 4980: 4975: 4974: 4970: 4963: 4959: 4948: 4946: 4933: 4932: 4928: 4918: 4916: 4907: 4906: 4902: 4892: 4890: 4875: 4874: 4870: 4859: 4857: 4844: 4843: 4839: 4832: 4828: 4818: 4816: 4807: 4806: 4802: 4792: 4790: 4781: 4780: 4776: 4766: 4764: 4755: 4754: 4750: 4740: 4738: 4729: 4728: 4724: 4714: 4712: 4699:Espenak, Fred. 4697: 4693: 4676: 4675: 4671: 4661: 4659: 4640: 4636: 4626: 4624: 4615: 4614: 4610: 4600: 4598: 4585: 4584: 4580: 4570: 4568: 4559: 4558: 4554: 4544: 4542: 4533: 4532: 4528: 4518: 4516: 4505:"line of nodes" 4501: 4497: 4487: 4485: 4472: 4471: 4467: 4444: 4440: 4430: 4428: 4393: 4389: 4379: 4377: 4364: 4363: 4359: 4349: 4347: 4338: 4337: 4333: 4275: 4271: 4254:Wayback Machine 4243: 4239: 4202: 4198: 4188: 4186: 4173: 4169: 4159: 4157: 4144: 4143: 4139: 4127:Klein, Ernest, 4126: 4122: 4112: 4110: 4101: 4100: 4089: 4075:"Perigee"  4067: 4063: 4054:Wayback Machine 4033:Wayback Machine 3996: 3992: 3989:Wayback Machine 3980: 3973: 3963: 3961: 3953: 3952: 3948: 3938: 3936: 3926: 3922: 3906: 3902: 3887: 3886: 3882: 3877: 3835: 3823:observation arc 3815: 3814: 3811: 3804: 3732:12P/Pons–Brooks 3707:Comet Hale–Bopp 3684: 3663: 3660: 3659: 3633: 3617: 3615: 3612: 3611: 3599:semi-minor axis 3587:arithmetic mean 3550: 3546: 3540: 3536: 3534: 3533: 3528: 3510: 3506: 3497: 3493: 3492: 3485: 3481: 3472: 3468: 3467: 3465: 3457: 3454: 3453: 3408: 3404: 3395: 3391: 3390: 3388: 3380: 3377: 3376: 3371:semi-major axis 3347: 3343: 3341: 3338: 3337: 3318: 3314: 3312: 3309: 3308: 3281: 3276: 3265: 3262: 3261: 3225: 3221: 3214: 3210: 3208: 3200: 3197: 3196: 3138: 3134: 3132: 3129: 3128: 3093: 3073: 3070: 3061: 3057: 3055: 3052: 3051: 3050:Minimum speed, 3007: 3003: 3001: 2998: 2997: 2962: 2942: 2939: 2930: 2926: 2924: 2921: 2920: 2919:Maximum speed, 2906: 2888: 2881: 2859: 2852: 2830: 2823: 2801: 2794: 2748: 2741: 2719: 2712: 2570:difference (%) 2569: 2535: 2065: 2063: 2051: 2049: 2042: 2037: 2036: 2035: 2014: 2012: 1953: 1946: 1939: 1930: 1923: 1911:"line of nodes" 1869: 1814: 1807: 1800: 1781: 1772: 1764: 1762: 1748: 1746: 1696: 1688: 1668: 1667: 1664: 1647: 1634: 1626: 1625: 1622: 1621: 1618: 1617: 1614: 1601: 1593: 1576: 1559: 1546: 1542: 1534: 1533: 1530: 1529: 1526: 1509: 1492: 1475: 1458: 1447: 1438: 1401: 1359:Artemis program 1320:Galactic Center 1302:. The suffixes 1269:Johannes Kepler 1267:were coined by 1257: 1192: 1188: 1141: 1137: 1128:For objects in 1089: 1085: 1028: 1024: 980: 976: 938: 801: 786:elliptic orbits 778: 769: 740: 739: 735:Orbit insertion 725: 717: 716: 702: 694: 693: 669: 661: 657: 650: 649: 645:Lyapunov orbits 636: 635: 619: 609: 608: 584: 576: 572: 565: 564: 550:Surface gravity 525:Escape velocity 515: 507: 506: 487:Parabolic orbit 483: 482: 449: 447: 444:two-body orbits 435: 434: 425:Semi-major axis 390: 380: 376: 268:line of apsides 248: 213: 209: 152: 141: 135: 132: 89: 87: 77: 65: 54: 43: 28: 23: 22: 15: 12: 11: 5: 5967: 5957: 5956: 5941: 5940: 5928: 5916: 5904: 5892: 5869: 5868: 5866: 5865: 5863:List of orbits 5854: 5851: 5850: 5848: 5847: 5842: 5837: 5832: 5827: 5822: 5817: 5815:Orbit equation 5812: 5804: 5799: 5794: 5789: 5784: 5779: 5774: 5769: 5764: 5759: 5753: 5751: 5743: 5742: 5740: 5739: 5734: 5729: 5724: 5719: 5714: 5709: 5704: 5699: 5694: 5689: 5687:Gravity assist 5684: 5682:Delta-v budget 5679: 5674: 5669: 5663: 5661: 5655: 5654: 5651: 5650: 5648: 5647: 5639: 5633: 5624: 5615: 5613:Orbital period 5605: 5603: 5599: 5598: 5596: 5595: 5593:True longitude 5586: 5584:Mean longitude 5577: 5568: 5551: 5541: 5539: 5535: 5534: 5532: 5531: 5522: 5513: 5504: 5494: 5492: 5488: 5487: 5485: 5484: 5471: 5462: 5453: 5443: 5441: 5439: 5438: 5435: 5431: 5425: 5419: 5418: 5415: 5414: 5412: 5411: 5410: 5409: 5401: 5400: 5399: 5394: 5389: 5388: 5387: 5374: 5369: 5368: 5367: 5362: 5357: 5352: 5344: 5343: 5342: 5340:Areostationary 5337: 5332: 5323: 5321: 5315: 5314: 5312: 5311: 5309:Very low Earth 5306: 5301: 5296: 5291: 5286: 5281: 5276: 5271: 5266: 5261: 5256: 5251: 5250: 5249: 5244: 5237:Geosynchronous 5233: 5231: 5225: 5224: 5222: 5221: 5219:Transfer orbit 5216: 5215: 5214: 5209: 5199: 5194: 5189: 5184: 5179: 5177:Lagrange point 5174: 5169: 5160: 5155: 5150: 5145: 5136: 5131: 5126: 5120: 5118: 5111: 5105: 5104: 5099:Gravitational 5096: 5095: 5088: 5081: 5073: 5067: 5066: 5060: 5054: 5038: 5025: 5019: 5011: 5010:External links 5008: 5005: 5004: 4968: 4957: 4926: 4900: 4868: 4837: 4826: 4800: 4774: 4748: 4722: 4691: 4669: 4634: 4608: 4578: 4552: 4526: 4495: 4478:Dictionary.com 4465: 4438: 4407:(A3): A03215. 4387: 4357: 4331: 4269: 4237: 4196: 4167: 4137: 4120: 4087: 4072:, ed. (1911). 4070:Chisholm, Hugh 4061: 3971: 3946: 3920: 3900: 3897:(Online). n.d. 3879: 3878: 3876: 3873: 3872: 3871: 3866: 3861: 3856: 3851: 3846: 3841: 3834: 3831: 3803: 3800: 3778: 3777: 3774: 3768: 3767: 3764: 3758: 3757: 3754: 3748: 3747: 3742: 3703:n-body problem 3683: 3680: 3667: 3656: 3655: 3641: 3638: 3632: 3627: 3624: 3621: 3595:geometric mean 3580: 3579: 3578: 3577: 3563: 3560: 3549: 3539: 3532: 3527: 3524: 3521: 3509: 3505: 3496: 3484: 3480: 3471: 3464: 3461: 3441: 3432: 3431: 3430: 3417: 3407: 3403: 3394: 3387: 3384: 3364: 3346: 3335: 3317: 3302: 3301: 3287: 3284: 3280: 3275: 3272: 3269: 3259: 3254: 3241: 3238: 3234: 3228: 3224: 3220: 3217: 3213: 3207: 3204: 3194: 3177: 3176: 3164: 3161: 3158: 3155: 3152: 3149: 3146: 3137: 3111: 3108: 3105: 3102: 3099: 3096: 3091: 3088: 3085: 3082: 3079: 3076: 3069: 3060: 3048: 3045: 3033: 3030: 3027: 3024: 3021: 3018: 3015: 3006: 2980: 2977: 2974: 2971: 2968: 2965: 2960: 2957: 2954: 2951: 2948: 2945: 2938: 2929: 2917: 2905: 2902: 2899: 2898: 2895: 2892: 2885: 2878: 2870: 2869: 2866: 2863: 2856: 2849: 2841: 2840: 2837: 2834: 2827: 2820: 2812: 2811: 2808: 2805: 2798: 2791: 2783: 2782: 2779: 2776: 2773: 2770: 2763: 2759: 2758: 2755: 2752: 2745: 2738: 2730: 2729: 2726: 2723: 2716: 2709: 2701: 2700: 2697: 2694: 2691: 2688: 2680: 2679: 2676: 2673: 2670: 2667: 2659: 2658: 2655: 2652: 2649: 2646: 2638: 2637: 2634: 2631: 2628: 2625: 2617: 2616: 2613: 2610: 2607: 2604: 2596: 2595: 2592: 2589: 2586: 2583: 2576: 2572: 2571: 2564: 2563:difference (%) 2561: 2558: 2555: 2552: 2534: 2531: 2528: 2527: 2524: 2521: 2518: 2515: 2511: 2510: 2507: 2504: 2501: 2498: 2494: 2493: 2490: 2487: 2484: 2481: 2477: 2476: 2473: 2470: 2467: 2464: 2460: 2459: 2456: 2453: 2450: 2447: 2443: 2442: 2439: 2436: 2433: 2430: 2426: 2425: 2422: 2419: 2416: 2413: 2409: 2408: 2405: 2402: 2399: 2396: 2392: 2391: 2388: 2385: 2382: 2379: 2375: 2374: 2371: 2368: 2365: 2362: 2358: 2357: 2354: 2351: 2348: 2345: 2341: 2340: 2337: 2334: 2331: 2328: 2324: 2323: 2320: 2317: 2314: 2311: 2307: 2306: 2303: 2300: 2297: 2294: 2290: 2289: 2286: 2283: 2280: 2277: 2273: 2272: 2269: 2266: 2263: 2260: 2256: 2255: 2252: 2249: 2246: 2243: 2239: 2238: 2235: 2232: 2229: 2226: 2222: 2221: 2218: 2215: 2212: 2209: 2205: 2204: 2201: 2198: 2195: 2192: 2188: 2187: 2180: 2177: 2170: 2166: 2165: 2162: 2159: 2136:. The Earth's 2041: 2038: 2015: 1979: 1978: 1977: 1969:Halley's Comet 1952: 1949: 1948: 1947: 1940: 1933: 1931: 1924: 1917: 1868: 1865: 1853:two-body model 1847:at a specific 1799: 1796: 1793: 1792: 1766: 1759: 1753: 1752: 1750: 1743: 1737: 1736: 1727: 1724: 1718: 1717: 1708: 1705: 1699: 1698: 1693: 1690: 1677: 1676: 1671: 1662: 1656: 1655: 1650: 1645: 1639: 1638: 1629: 1612: 1606: 1605: 1596: 1591: 1585: 1584: 1579: 1574: 1568: 1567: 1562: 1557: 1551: 1550: 1537: 1524: 1518: 1517: 1512: 1507: 1501: 1500: 1495: 1490: 1484: 1483: 1478: 1473: 1467: 1466: 1461: 1456: 1450: 1449: 1444: 1441: 1400: 1397: 1339:Apollo program 1256: 1253: 1252: 1251: 1126: 1070: 965: 937: 934: 808:elliptic orbit 777: 774: 771: 770: 768: 767: 760: 753: 745: 742: 741: 738: 737: 732: 726: 723: 722: 719: 718: 715: 714: 709: 707:Gravity assist 703: 700: 699: 696: 695: 692: 691: 686: 681: 676: 670: 667: 666: 663: 662: 655: 652: 651: 648: 647: 642: 634: 633: 625: 621: 620: 615: 614: 611: 610: 607: 606: 601: 596: 591: 585: 582: 581: 578: 577: 570: 567: 566: 563: 562: 557: 552: 547: 542: 540:Orbital period 537: 532: 527: 522: 516: 513: 512: 509: 508: 505: 504: 502:Decaying orbit 499: 494: 489: 481: 480: 474: 467: 465:Transfer orbit 463: 462: 461: 459:Elliptic orbit 456: 454:Circular orbit 450: 441: 440: 437: 436: 433: 432: 427: 422: 417: 412: 407: 402: 397: 391: 386: 385: 382: 381: 374: 371: 370: 362: 361: 357: 356: 333:and the other 272:extreme values 260:planetary body 166:planetary body 154: 153: 68: 66: 59: 26: 9: 6: 4: 3: 2: 5966: 5955: 5952: 5951: 5949: 5939: 5929: 5927: 5917: 5915: 5905: 5903: 5898: 5893: 5891: 5881: 5880: 5877: 5864: 5856: 5855: 5852: 5846: 5843: 5841: 5838: 5836: 5833: 5831: 5828: 5826: 5823: 5821: 5818: 5816: 5813: 5811: 5810:-body problem 5809: 5805: 5803: 5800: 5798: 5795: 5793: 5790: 5788: 5785: 5783: 5780: 5778: 5775: 5773: 5770: 5768: 5765: 5763: 5760: 5758: 5755: 5754: 5752: 5750: 5744: 5738: 5735: 5733: 5730: 5728: 5725: 5723: 5720: 5718: 5715: 5713: 5712:Oberth effect 5710: 5708: 5705: 5703: 5700: 5698: 5695: 5693: 5690: 5688: 5685: 5683: 5680: 5678: 5675: 5673: 5670: 5668: 5665: 5664: 5662: 5660: 5656: 5646: 5638: 5634: 5632: 5631:Orbital speed 5625: 5623: 5616: 5614: 5607: 5606: 5604: 5600: 5594: 5587: 5585: 5578: 5576: 5569: 5567: 5552: 5550: 5543: 5542: 5540: 5536: 5530: 5523: 5521: 5514: 5512: 5505: 5503: 5496: 5495: 5493: 5489: 5483: 5472: 5470: 5463: 5461: 5454: 5452: 5445: 5444: 5442: 5436: 5433: 5432: 5429: 5426: 5424: 5420: 5408: 5405: 5404: 5402: 5398: 5395: 5393: 5390: 5386: 5385:Earth's orbit 5383: 5382: 5381: 5378: 5377: 5375: 5373: 5370: 5366: 5363: 5361: 5358: 5356: 5353: 5351: 5348: 5347: 5345: 5341: 5338: 5336: 5333: 5331: 5328: 5327: 5325: 5324: 5322: 5316: 5310: 5307: 5305: 5302: 5300: 5297: 5295: 5292: 5290: 5287: 5285: 5282: 5280: 5277: 5275: 5272: 5270: 5267: 5265: 5262: 5260: 5257: 5255: 5252: 5248: 5245: 5243: 5242:Geostationary 5240: 5239: 5238: 5235: 5234: 5232: 5230: 5226: 5220: 5217: 5213: 5210: 5208: 5205: 5204: 5203: 5200: 5198: 5195: 5193: 5190: 5188: 5185: 5183: 5180: 5178: 5175: 5173: 5170: 5168: 5164: 5161: 5159: 5156: 5154: 5151: 5149: 5146: 5144: 5140: 5137: 5135: 5132: 5130: 5127: 5125: 5122: 5121: 5119: 5115: 5112: 5110: 5106: 5102: 5094: 5089: 5087: 5082: 5080: 5075: 5074: 5071: 5065: 5061: 5058: 5055: 5053: 5049: 5045: 5042: 5039: 5036: 5032: 5029: 5026: 5023: 5020: 5017: 5014: 5013: 5000: 4994: 4983:September 23, 4978: 4972: 4966: 4961: 4949:September 26, 4944: 4940: 4936: 4930: 4914: 4910: 4904: 4893:September 13, 4888: 4884: 4883: 4878: 4872: 4855: 4851: 4847: 4841: 4835: 4830: 4814: 4810: 4804: 4788: 4784: 4778: 4762: 4758: 4752: 4736: 4732: 4726: 4710: 4706: 4702: 4695: 4687: 4683: 4679: 4673: 4657: 4653: 4649: 4645: 4638: 4622: 4618: 4612: 4601:September 19, 4596: 4592: 4588: 4582: 4566: 4562: 4556: 4540: 4536: 4530: 4514: 4510: 4506: 4499: 4483: 4479: 4475: 4469: 4460: 4455: 4451: 4442: 4426: 4422: 4418: 4414: 4410: 4406: 4402: 4398: 4391: 4375: 4371: 4367: 4361: 4345: 4341: 4335: 4327: 4323: 4319: 4315: 4311: 4307: 4303: 4299: 4294: 4289: 4285: 4281: 4273: 4267: 4266: 4265:Infinity Plus 4261: 4260: 4255: 4251: 4248: 4247: 4241: 4232: 4227: 4223: 4219: 4215: 4211: 4207: 4200: 4184: 4180: 4179: 4171: 4155: 4151: 4147: 4141: 4134: 4130: 4124: 4108: 4104: 4098: 4096: 4094: 4092: 4083: 4082: 4076: 4071: 4065: 4058: 4055: 4051: 4048: 4045: 4041: 4038: 4034: 4030: 4027: 4023: 3990: 3986: 3983: 3978: 3976: 3960: 3956: 3950: 3935: 3931: 3924: 3916: 3915: 3910: 3904: 3896: 3895: 3890: 3884: 3880: 3870: 3867: 3865: 3862: 3860: 3857: 3855: 3852: 3850: 3847: 3845: 3842: 3840: 3837: 3836: 3830: 3828: 3824: 3819: 3808: 3799: 3797: 3793: 3791: 3788: 3784: 3775: 3773: 3770: 3769: 3765: 3763: 3760: 3759: 3755: 3753: 3750: 3749: 3746: 3743: 3741: 3738: 3737: 3733: 3730:solution for 3729: 3725: 3720: 3718: 3716: 3715:101P/Chernykh 3712: 3708: 3704: 3700: 3696: 3692: 3688: 3679: 3665: 3639: 3636: 3630: 3625: 3622: 3619: 3610: 3609: 3608: 3605: 3603: 3600: 3596: 3592: 3588: 3583: 3561: 3558: 3547: 3537: 3530: 3525: 3522: 3519: 3507: 3503: 3494: 3482: 3478: 3469: 3462: 3459: 3452: 3451: 3450:, defined as 3449: 3445: 3442: 3440: 3436: 3433: 3415: 3405: 3401: 3392: 3385: 3382: 3375: 3374: 3372: 3368: 3365: 3344: 3336: 3315: 3307: 3306: 3305: 3285: 3282: 3278: 3273: 3270: 3267: 3260: 3258: 3255: 3239: 3236: 3232: 3226: 3222: 3218: 3215: 3211: 3205: 3202: 3195: 3193: 3190: 3189: 3188: 3186: 3182: 3162: 3156: 3153: 3150: 3144: 3135: 3109: 3103: 3100: 3097: 3089: 3083: 3080: 3077: 3067: 3058: 3049: 3046: 3031: 3025: 3022: 3019: 3013: 3004: 2978: 2972: 2969: 2966: 2958: 2952: 2949: 2946: 2936: 2927: 2918: 2915: 2914: 2913: 2911: 2896: 2893: 2886: 2879: 2876: 2872: 2871: 2867: 2864: 2857: 2850: 2847: 2843: 2842: 2838: 2835: 2828: 2821: 2818: 2814: 2813: 2809: 2806: 2799: 2792: 2789: 2785: 2784: 2780: 2777: 2774: 2771: 2768: 2764: 2762:Dwarf planet 2760: 2756: 2753: 2746: 2739: 2736: 2732: 2731: 2727: 2724: 2717: 2710: 2707: 2703: 2702: 2698: 2695: 2692: 2689: 2686: 2682: 2681: 2677: 2674: 2671: 2668: 2665: 2661: 2660: 2656: 2653: 2650: 2647: 2644: 2640: 2639: 2635: 2632: 2629: 2626: 2623: 2619: 2618: 2614: 2611: 2608: 2605: 2602: 2598: 2597: 2593: 2590: 2587: 2584: 2581: 2577: 2573: 2568: 2565: 2562: 2559: 2556: 2553: 2550: 2549: 2546: 2544: 2543:dwarf planets 2540: 2533:Other planets 2525: 2522: 2519: 2516: 2513: 2512: 2508: 2505: 2502: 2499: 2496: 2495: 2491: 2488: 2485: 2482: 2479: 2478: 2474: 2471: 2468: 2465: 2462: 2461: 2457: 2454: 2451: 2448: 2445: 2444: 2440: 2437: 2434: 2431: 2428: 2427: 2423: 2420: 2417: 2414: 2411: 2410: 2406: 2403: 2400: 2397: 2394: 2393: 2389: 2386: 2383: 2380: 2377: 2376: 2372: 2369: 2366: 2363: 2360: 2359: 2355: 2352: 2349: 2346: 2343: 2342: 2338: 2335: 2332: 2329: 2326: 2325: 2321: 2318: 2315: 2312: 2309: 2308: 2304: 2301: 2298: 2295: 2292: 2291: 2287: 2284: 2281: 2278: 2275: 2274: 2270: 2267: 2264: 2261: 2258: 2257: 2253: 2250: 2247: 2244: 2241: 2240: 2236: 2233: 2230: 2227: 2224: 2223: 2219: 2216: 2213: 2210: 2207: 2206: 2202: 2199: 2196: 2193: 2190: 2189: 2185: 2175: 2167: 2156: 2153: 2151: 2147: 2141: 2139: 2135: 2129: 2127: 2123: 2119: 2114: 2111: 2110:orbital speed 2106: 2102: 2100: 2096: 2092: 2088: 2083: 2080: 2076: 2071: 2061: 2060:June solstice 2057: 2047: 2034: 2032: 2028: 2024: 2020: 1976: 1974: 1970: 1966: 1962: 1958: 1944: 1943:outer planets 1937: 1932: 1928: 1927:inner planets 1921: 1916: 1915: 1914: 1912: 1907: 1905: 1901: 1897: 1893: 1888: 1886: 1882: 1878: 1874: 1873:orbital nodes 1864: 1862: 1858: 1854: 1850: 1846: 1841: 1839: 1835: 1827: 1823: 1818: 1812: 1805: 1791: 1786: 1780: 1776: 1771: 1767: 1760: 1758: 1755: 1754: 1751: 1744: 1742: 1739: 1738: 1735: 1734: 1728: 1725: 1723: 1720: 1719: 1716: 1712: 1709: 1706: 1704: 1701: 1700: 1694: 1691: 1686: 1685: 1675: 1672: 1663: 1661: 1658: 1657: 1654: 1651: 1646: 1644: 1641: 1640: 1637: 1633: 1630: 1613: 1611: 1608: 1607: 1604: 1600: 1597: 1592: 1590: 1587: 1586: 1583: 1580: 1575: 1573: 1570: 1569: 1566: 1563: 1558: 1556: 1553: 1552: 1549: 1545: 1541: 1538: 1525: 1523: 1520: 1519: 1516: 1513: 1508: 1506: 1503: 1502: 1499: 1496: 1491: 1489: 1486: 1485: 1482: 1479: 1474: 1472: 1469: 1468: 1465: 1462: 1457: 1455: 1452: 1451: 1445: 1442: 1440: 1435: 1434: 1428: 1426: 1422: 1418: 1414: 1410: 1406: 1396: 1394: 1390: 1386: 1382: 1378: 1373: 1370: 1368: 1364: 1360: 1356: 1352: 1348: 1344: 1340: 1335: 1333: 1329: 1325: 1321: 1317: 1313: 1309: 1305: 1301: 1296: 1294: 1290: 1286: 1282: 1279:, near) and 1278: 1274: 1270: 1266: 1262: 1249: 1245: 1242:, as well as 1241: 1237: 1234:). The terms 1231: 1186: 1180: 1135: 1131: 1127: 1124: 1120: 1119:Ancient Greek 1116: 1110: 1083: 1079: 1075: 1071: 1068: 1064: 1058: 1022: 1016: 974: 970: 966: 963: 959: 955: 951: 947: 943: 942: 941: 930: 926: 922: 919: 915: 911: 909: 905: 901: 897: 892: 889: 885: 881: 876: 874: 870: 867:According to 865: 863: 859: 855: 851: 847: 843: 839: 835: 831: 828: 824: 820: 817: 813: 809: 799: 795: 791: 787: 782: 766: 761: 759: 754: 752: 747: 746: 744: 743: 736: 733: 731: 728: 727: 721: 720: 713: 712:Oberth effect 710: 708: 705: 704: 698: 697: 690: 687: 685: 682: 680: 677: 675: 672: 671: 665: 664: 660: 654: 653: 646: 643: 641: 638: 637: 631: 627: 626: 624: 618: 617:N-body orbits 613: 612: 605: 602: 600: 599:Perturbations 597: 595: 592: 590: 587: 586: 580: 579: 575: 569: 568: 561: 558: 556: 553: 551: 548: 546: 543: 541: 538: 536: 533: 531: 528: 526: 523: 521: 518: 517: 511: 510: 503: 500: 498: 495: 493: 490: 488: 485: 484: 478: 475: 473: 469: 468: 466: 460: 457: 455: 452: 451: 445: 439: 438: 431: 428: 426: 423: 421: 420:Orbital nodes 418: 416: 413: 411: 408: 406: 403: 401: 398: 396: 393: 392: 389: 384: 383: 379: 373: 372: 368: 364: 363: 360:Astrodynamics 359: 358: 354: 353: 350: 348: 344: 340: 336: 332: 328: 324: 320: 316: 312: 308: 307: 302: 301: 296: 292: 291: 286: 285: 280: 275: 273: 269: 265: 261: 257: 253: 252: 243: 208: 200: 197: 190: 186: 183: 182:Ancient Greek 179: 171: 167: 162: 158: 150: 147: 139: 136:December 2020 128: 125: 121: 118: 114: 111: 107: 104: 100: 97: –  96: 92: 91:Find sources: 85: 81: 75: 74: 69:This article 67: 63: 58: 57: 52: 48: 41: 37: 33: 19: 5938:Solar System 5825:Perturbation 5807: 5782:Ground track 5692:Gravity turn 5643:   5636: 5629:   5620:   5611:   5591:   5582:   5573:   5566:True anomaly 5564:   5549:Mean anomaly 5547:   5527:   5518:   5509:   5500:   5481: 5480:   5467:   5458:   5451:Eccentricity 5449:   5407:Lunar cycler 5380:Heliocentric 5320:other points 5269:Medium Earth 5167:Non-inclined 4981:. Retrieved 4971: 4960: 4947:. Retrieved 4939:JPL Horizons 4929: 4917:. Retrieved 4903: 4891:. Retrieved 4882:JPL Horizons 4880: 4871: 4860:February 11, 4858:. Retrieved 4850:JPL Horizons 4840: 4829: 4817:. Retrieved 4803: 4791:. Retrieved 4777: 4765:. Retrieved 4751: 4739:. Retrieved 4735:the original 4725: 4713:. Retrieved 4704: 4694: 4686:the original 4681: 4672: 4660:. Retrieved 4647: 4637: 4625:. Retrieved 4611: 4599:. Retrieved 4581: 4569:. Retrieved 4555: 4543:. Retrieved 4529: 4517:. Retrieved 4508: 4498: 4488:November 28, 4486:. Retrieved 4477: 4468: 4449: 4441: 4429:. Retrieved 4404: 4400: 4390: 4378:. Retrieved 4369: 4360: 4348:. Retrieved 4334: 4283: 4279: 4272: 4263: 4257: 4245: 4240: 4213: 4209: 4199: 4187:. Retrieved 4177: 4170: 4158:. Retrieved 4149: 4140: 4128: 4123: 4111:. Retrieved 4079: 4064: 4043: 4039: 4036: 3962:. Retrieved 3958: 3949: 3937:. Retrieved 3933: 3923: 3912: 3903: 3892: 3883: 3869:True anomaly 3859:Mean anomaly 3805: 3794: 3787:dwarf planet 3781: 3726:solution vs 3719: 3690: 3689:such as the 3685: 3657: 3606: 3601: 3590: 3584: 3581: 3448:eccentricity 3443: 3434: 3366: 3303: 3178: 2907: 2551:Type of body 2536: 2142: 2138:eccentricity 2130: 2125: 2115: 2107: 2103: 2084: 2072: 2043: 2019:Solar System 2016: 1972: 1961:Solar System 1954: 1908: 1903: 1895: 1891: 1889: 1870: 1842: 1831: 1789: 1778: 1769: 1732: 1726:-galacticon 1714: 1697:of the name 1689:host object 1687:Astronomical 1448:of the name 1437:Astronomical 1424: 1420: 1408: 1404: 1402: 1392: 1389:perinigricon 1388: 1380: 1376: 1374: 1371: 1366: 1362: 1361:, the terms 1346: 1343:pericynthion 1342: 1341:, the terms 1336: 1331: 1327: 1323: 1315: 1311: 1307: 1303: 1297: 1292: 1288: 1284: 1280: 1276: 1272: 1264: 1260: 1258: 1247: 1243: 1239: 1235: 1184: 1134:pericynthion 1133: 1122: 1114: 1081: 1066: 1062: 1020: 972: 961: 957: 953: 949: 945: 939: 928: 924: 893: 887: 883: 879: 877: 866: 861: 857: 853: 849: 845: 841: 838:primary body 833: 830: 826: 822: 819: 815: 811: 805: 790:primary body 497:Radial orbit 448:eccentricity 430:True anomaly 415:Mean anomaly 405:Eccentricity 394: 347:Solar System 326: 322: 318: 314: 305: 304: 299: 298: 289: 288: 283: 282: 276: 267: 264:primary body 206: 195: 192: 185: 177: 175: 157: 142: 133: 123: 116: 109: 102: 90: 78:Please help 73:verification 70: 5926:Outer space 5914:Spaceflight 5787:Hill sphere 5622:Mean motion 5502:Inclination 5491:Orientation 5392:Mars cycler 5330:Areocentric 5202:Synchronous 4705:astropixels 4648:Planetarium 4571:January 10, 4545:January 10, 4431:December 9, 4380:October 24, 4350:November 7, 4246:Perimelasma 4160:October 16, 2891:10 mi) 2884:10 mi) 2862:10 mi) 2855:10 mi) 2833:10 mi) 2826:10 mi) 2804:10 mi) 2797:10 mi) 2751:10 mi) 2744:10 mi) 2722:10 mi) 2715:10 mi) 2161:Perihelion 1879:, which is 1836:around the 1824:around the 1768:Gr: melos; 1439:host object 1393:aponigricon 1377:perimelasma 1347:apocynthion 1337:During the 1316:-galacticon 1185:apocynthion 1130:lunar orbit 936:Terminology 800:), (red +). 630:Halo orbits 594:Hill sphere 410:Inclination 5727:Rendezvous 5423:Parameters 5259:High Earth 5229:Geocentric 5182:Osculating 5139:Elliptical 4919:January 5, 4459:2106.09409 3875:References 3802:Short arcs 2916:Pericenter 2567:insolation 2517:January 2 2500:January 5 2483:January 3 2466:January 3 2449:January 4 2432:January 3 2415:January 4 2398:January 4 2381:January 2 2079:barycenter 2023:perihelion 1843:Comparing 1765:-nigricon 1757:Black hole 1741:Barycenter 1731:galaxias; 1711:Lat: astra 1669:-poseidion 1665:-poseideum 1623:-saturnium 1381:apomelasma 1375:The terms 1328:-saturnium 1261:perihelion 1259:The words 1244:periselene 1063:periastron 973:perihelion 946:pericenter 904:spacecraft 900:barycenter 862:perihelion 829:(from 823:, (ap(o)-) 818:(from 798:barycenter 674:Mass ratio 589:Barycenter 341:, and the 327:perihelion 319:perihelion 290:perihelion 262:about its 180:(from 106:newspapers 5890:Astronomy 5772:Ephemeris 5749:mechanics 5659:Maneuvers 5602:Variation 5365:Libration 5360:Lissajous 5264:Low Earth 5254:Graveyard 5153:Horseshoe 5062:JPL SBDB 5050:from the 4741:August 4, 3964:April 23, 3939:April 22, 3934:Space.com 3637:μ 3626:ε 3620:− 3526:− 3479:− 3279:μ 3274:− 3268:ε 3237:μ 3219:− 3090:μ 3081:− 3047:Apocenter 3023:− 2970:− 2959:μ 2364:January 5 2347:January 3 2330:January 3 2313:January 4 2296:January 2 2279:January 4 2262:January 4 2245:January 2 2228:January 5 2211:January 3 2194:January 3 2164:Aphelion 1896:reference 1531:-cynthion 1498:Cytherean 1417:Exoplanet 1413:(primary) 1255:Etymology 1248:aposelene 954:periapsis 950:apocenter 918:Keplerian 884:periapsis 514:Equations 442:Types of 343:asteroids 251:-sih-deez 5948:Category 5538:Position 5163:Inclined 5134:Circular 5044:Archived 5031:Archived 4993:cite web 4943:Archived 4913:Archived 4887:Archived 4854:Archived 4819:July 17, 4813:Archived 4793:July 16, 4787:Archived 4767:July 16, 4761:Archived 4715:June 24, 4709:Archived 4656:Archived 4621:Archived 4595:Archived 4565:Archived 4539:Archived 4513:Archived 4482:Archived 4425:Archived 4374:Archived 4344:Archived 4318:12384690 4250:Archived 4189:July 18, 4183:Archived 4154:Archived 4150:Glossary 4107:Archived 4105:. NASA. 4050:Archived 4029:Archived 3985:Archived 3833:See also 3724:Two body 2910:formulae 2846:Makemake 2068: AU 2027:aphelion 1881:coplanar 1763:-bothron 1761:-melasma 1707:-astron 1674:Poseidon 1648:-uranion 1577:-demeter 1476:-hermion 1363:perilune 1283:(Greek: 1275:(Greek: 1265:aphelion 1236:perilune 1067:apastron 1021:aphelion 958:apoapsis 923:: point 908:altitude 888:apoapsis 858:aphelion 323:aphelion 315:aphelion 284:aphelion 5876:Portals 5747:Orbital 5717:Phasing 5677:Delta-v 5482:Apsides 5476:,  5274:Molniya 5192:Parking 5129:Capture 5117:General 4662:July 4, 4627:July 7, 4519:May 17, 4409:Bibcode 4326:4302128 4298:Bibcode 4218:Bibcode 4113:May 30, 3909:"apsis" 3889:"apsis" 3827:1-sigma 3813:2015 TH 3796:4 Vesta 3446:is the 3437:is the 3369:is the 3304:where: 2735:Neptune 2664:Jupiter 2580:Mercury 2575:Planet 2539:planets 2523:July 6 2506:July 3 2489:July 5 2472:July 6 2455:July 3 2438:July 5 2421:July 6 2404:July 4 2387:July 5 2113:days). 2087:seasons 1959:of the 1775:bothros 1749:-apsis 1745:-center 1692:Suffix 1660:Neptune 1619:-kronos 1603:Jupiter 1589:Jupiter 1582:Demeter 1560:-areion 1544:Cynthia 1535:-selene 1471:Mercury 1459:-helion 1443:Suffix 1421:-astron 1367:apolune 1355:Artemis 1312:-astron 1308:-helion 1240:apolune 1082:perigee 962:apapsis 854:-helion 850:perigee 834:(peri-) 345:of the 335:planets 331:Jupiter 306:perigee 266:. The 207:apsides 120:scholar 95:"Apsis" 18:Perigee 5954:Orbits 5403:Other 5304:Tundra 5172:Kepler 5148:Escape 5101:orbits 4324:  4316:  4280:Nature 3785:shows 3762:n-body 3728:n-body 3593:. The 2908:These 2817:Haumea 2706:Uranus 2685:Saturn 2526:05:12 2520:18:13 2509:22:18 2503:12:28 2492:05:06 2486:02:33 2475:17:31 2469:17:16 2458:19:55 2452:13:28 2441:05:06 2435:00:39 2424:20:07 2418:16:17 2407:07:11 2401:06:55 2390:22:27 2384:13:51 2373:11:35 2370:July 4 2367:07:48 2356:22:11 2353:July 4 2350:05:20 2339:16:47 2336:July 6 2333:05:35 2322:20:11 2319:July 3 2316:14:18 2305:16:24 2302:July 4 2299:22:49 2288:19:40 2285:July 6 2282:06:36 2271:00:13 2268:July 4 2265:11:59 2254:14:44 2251:July 5 2248:04:38 2237:03:32 2234:July 5 2231:00:32 2220:14:54 2217:July 4 2214:18:32 2203:11:30 2200:July 6 2197:00:09 2182:Time ( 2172:Time ( 2099:winter 2095:summer 1967:, and 1747:-focus 1733:galaxy 1722:Galaxy 1695:Origin 1653:Uranus 1643:Uranus 1636:Saturn 1632:Cronos 1627:-krone 1615:-chron 1610:Saturn 1548:Selene 1493:-cythe 1481:Hermes 1464:Helios 1446:Origin 1425:-apsis 1293:hēlíos 1121:: Γῆ ( 1117:(from 1115:apogee 880:-apsis 846:apogee 339:comets 337:, the 300:apogee 205:  196:hapsís 122:  115:  108:  101:  93:  34:, 5902:Stars 5645:Epoch 5434:Shape 5372:Lunar 5326:Mars 5318:About 5289:Polar 5109:Types 4454:arXiv 4322:S2CID 4288:arXiv 4210:MNRAS 4037:e.g., 3740:Epoch 3695:epoch 2788:Pluto 2767:Ceres 2757:3.4% 2636:6.5% 2622:Earth 2615:2.8% 2601:Venus 2514:2029 2497:2028 2480:2027 2463:2026 2446:2025 2429:2024 2412:2023 2395:2022 2378:2021 2361:2020 2344:2019 2327:2018 2310:2017 2293:2016 2276:2015 2259:2014 2242:2013 2225:2012 2208:2011 2191:2010 2158:Year 2064:1.016 2050:0.983 1965:Ceres 1904:outer 1892:inner 1883:with 1849:epoch 1834:orbit 1822:orbit 1790:black 1785:niger 1782:Lat: 1770:black 1715:stars 1594:-jove 1572:Ceres 1527:-lune 1505:Earth 1488:Venus 1405:peri- 1324:-jove 1291:, or 1289:ἥλιος 1273:peri- 1074:Earth 827:peri- 821:ἀπ(ό) 395:Apsis 311:Earth 258:of a 256:orbit 184: 178:apsis 127:JSTOR 113:books 51:Aspis 5437:Size 5376:Sun 5355:Halo 5207:semi 4999:link 4985:2021 4951:2021 4921:2021 4895:2021 4862:2023 4821:2020 4795:2020 4769:2020 4743:2016 4717:2021 4664:2020 4629:2015 4603:2015 4591:NASA 4573:2018 4547:2018 4521:2007 4490:2015 4433:2019 4382:2018 4352:2018 4314:PMID 4191:2022 4162:2009 4115:2017 3966:2024 3941:2024 3790:Eris 3772:2018 3752:2010 3585:The 2897:84% 2875:Eris 2868:48% 2839:55% 2810:64% 2781:27% 2754:1.7% 2728:17% 2725:9.0% 2699:19% 2678:18% 2675:9.2% 2657:31% 2643:Mars 2633:3.3% 2612:1.3% 2594:57% 2554:Body 2541:and 2179:Date 2169:Date 2025:and 1779:hole 1773:Gr: 1729:Gr: 1703:Star 1599:Zeus 1565:Ares 1555:Mars 1540:Luna 1522:Moon 1515:Gaia 1510:-gee 1409:apo- 1391:and 1379:and 1365:and 1345:and 1332:-gee 1314:and 1304:-gee 1281:apo- 1277:περί 1263:and 1246:and 1238:and 1078:Moon 1065:and 960:(or 956:and 948:and 860:and 848:and 842:-gee 832:περί 816:apo- 796:(or 325:and 295:Moon 189:ἁψίς 99:news 47:Apse 5212:sub 5124:Box 4417:doi 4405:114 4306:doi 4284:419 4226:doi 4214:176 3816:367 3552:per 3512:per 3487:per 3397:per 3349:per 3009:per 2932:per 2894:60% 2865:28% 2836:33% 2807:40% 2778:15% 2696:10% 2654:17% 2591:34% 1838:Sun 1826:Sun 1454:Sun 1407:or 1295:). 1285:ἀπό 969:Sun 894:In 812:ap- 446:by 279:Sun 203:pl. 176:An 172:(1) 82:by 49:or 5950:: 5560:, 5556:, 5165:/ 5141:/ 4995:}} 4991:{{ 4941:. 4911:. 4879:. 4852:. 4811:. 4785:. 4759:. 4707:. 4703:. 4680:. 4654:. 4650:. 4646:. 4593:. 4589:. 4511:. 4507:. 4480:. 4476:. 4452:. 4423:. 4415:. 4403:. 4399:. 4372:. 4368:. 4342:. 4320:. 4312:. 4304:. 4296:. 4282:. 4224:. 4212:. 4208:. 4152:. 4148:. 4090:^ 4078:. 4007:iː 3974:^ 3957:. 3932:. 3911:. 3891:. 3678:. 3604:. 3542:ap 3499:ap 3474:ap 3410:ap 3373:: 3320:ap 3140:ap 3063:ap 2186:) 2184:UT 2176:) 2174:UT 2066:71 2052:29 1863:. 1840:. 1788:; 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Index

Perigee
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planetary body
primary, or host, body
Ancient Greek
ἁψίς
/ˈæpsɪˌdz/
AP-sih-deez
orbit
planetary body
primary body
extreme values
Sun
Moon

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