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Proper motion

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142 km/s. True or absolute motion is more difficult to measure than the proper motion, because the true transverse velocity involves the product of the proper motion times the distance. As shown by this formula, true velocity measurements depend on distance measurements, which are difficult in general.
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Stars with large proper motions tend to be nearby; most stars are far enough away that their proper motions are very small, on the order of a few thousandths of an arcsecond per year. It is possible to construct nearly complete samples of high proper motion stars by comparing photographic sky survey
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The positive axes of the two components of its usually annually measured or published shift in proper motion are the exaggerated red arrows, note: the right arrows point to the east horizon. One red annotation is subtly shorter as the cosine of a star resting at 0° declination is 1, so such a star's
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For most stars seen in the sky, the observed proper motions are small and unremarkable. Such stars are often either faint or are significantly distant, have changes of below 0.01″ per year, and do not appear to move appreciably over many millennia. A few do have significant motions, and are usually
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A proper motion of 1 arcsec per year 1 light-year away corresponds to a relative transverse speed of 1.45 km/s. Barnard's Star's transverse speed is 90 km/s and its radial velocity is 111 km/s (perpendicular (at a right, 90° angle), which gives a true or "space" motion of
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in the M106 group of galaxies was used in 1999 to find an accurate distance to this object. Measurements were made of the radial motion of objects in that galaxy moving directly toward and away from Earth, and assuming this same motion to apply to objects with only a proper motion, the observed
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of these surveys are well understood and quantifiable, studies have confirmed more and inferred approximate quantities of unseen stars – revealing and confirming more by studying them further, regardless of brightness, for instance. Studies of this kind show most of the nearest stars are
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is the distance (usually expressed as annual velocity) transverse (tangential or perpendicular) to line of sight from the Sun. The angle is shaded light blue from the Sun to the object's start point and its year later position as if it had no radial
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in the southern sky, look nearly the same now as they did hundreds of years ago. However, precise long-term observations show that such constellations change shape, albeit very slowly, and that each star has an independent
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An ideal time to measure exactly such a small annual shift is at culmination. The culmination of the star is daily reached when the observer (and Earth) passes as shown by the blue arrows "beneath" the
830:(HIP) have already been converted. Hence, the individual proper motions in right ascension and declination are made equivalent for straightforward calculations of various other stellar motions. 960: 1204:, as in "the city proper") meaning "belonging to" or "own". "Improper motion" would refer to perceived motion that is nothing to do with an object's inherent course, such as due to Earth's 790:, being zero for a hypothetical object fixed at a celestial pole in declination. Thus, a co-efficient is given to negate the misleadingly greater east or west velocity (angular change in 1013:
has the largest proper motion of all stars, moving at 10.3″ yr. Large proper motion usually strongly indicates an object is close to the Sun. This is so for Barnard's Star, about 6
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Stellar proper motions have been used to infer the presence of a super-massive black hole at the center of the Milky Way. This now confirmed to exist black hole is called
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Measurement of the proper motions of a large sample of stars in a distant stellar system, like a globular cluster, can be used to compute the cluster's total mass via the
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Ghez, Andrea M.; et al. (2003). "The First Measurement of Spectral Lines in a Short-Period Star Bound to the Galaxy's Central Black Hole: A Paradox of Youth".
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A. Brunthaler; M.J. Reid; H. Falcke; L.J. Greenhill; C. Henkel (2005). "The Geometric Distance and Proper Motion of the Triangulum Galaxy (M33)".
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M33, the third largest and only ordinary spiral galaxy in the Local Group, located 0.860 ± 0.028 Mpc beyond the Milky Way. The motion of the
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Over the course of centuries, stars appear to maintain nearly fixed positions with respect to each other, so that they form the same
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J. R. Herrnstein; et al. (1999). "A geometric distance to the galaxy NGC4258 from orbital motions in a nuclear gas disk".
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or powerful binoculars. Of the stars visible to the naked eye (conservatively limiting unaided visual magnitude to 6.0),
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The lesser meaning of "proper" used is arguably dated English (but neither historic, nor obsolete when used as a
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to become a component of the proper motion, is sometimes called the "proper motion in right ascension", and
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is one source of such images. In the past, searches for high proper motion objects were undertaken using
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and its motion from the galactic frame of reference – that is motion in respect to the Sun, and by
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are discussed in detail in Röser. In 2005, the first measurement was made of the proper motion of the
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of proper motion by convention are arrived at as follows. Suppose an object moves from coordinates (α
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In this diagram the radial velocity happens to be one of the Sun and object parting, so is positive.
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Lemay, Damien (1992). "Book-Review – Sky Catalogue 2000.0 – V.1 – Stars to Magnitude 8.0 ED.2".
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of all 24 hours of Right Ascension (the measure of absolute celestial east–west position), the
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can scan digitized images, or comparisons to star catalogs obtained by satellites. As any
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accounts for the widening of the lines (hours) of right ascension away from the poles, cos
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Proper motion may alternatively be defined by the angular changes per year in the star's
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were over half a degree away from the positions charted by the ancient Greek astronomer
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at a speed of about 220 km/s at a radius of 8,000 parsecs (26,000 ly) from
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east or west shift would not need to be multiplied by the cosine of its declination.
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which can be taken as the rate of rotation of the Milky Way itself at this radius.
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Akhmetov, V. S.; Fedorov, P. N.; Velichko, A. B.; Shulga, V. M. (2017-07-21).
1691:"Stellar motions: parallax, proper motion, radial velocity and space velocity" 982:
Motions can also be in almost seemingly random directions. Two or more stars,
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invalidated by moving to a neighbouring constellation – it is now in
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Reviews in Modern Astronomy: From Cosmological Structures to the Milky Way
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A Treatise on Practical Astronomy, as Applied to Geodesy and Navigation
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units of distance from the Sun, and its light moved in a year by angle
1774:"The PMA Catalogue: 420 million positions and absolute proper motions" 990:, which are moving in similar directions, exhibit so-called shared or 3342: 3190: 2974: 2939: 2934: 2929: 2889: 2842: 2832: 2626: 2602: 2577: 2484: 2435: 2368: 2358: 2333: 2306: 2282: 2217: 1524:
Abraham Loeb; Mark J. Reid; Andreas Brunthaler; Heino Falcke (2005).
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Relation between proper motion and velocity components of an object.
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Y Sofu & V Rubin (2001). "Rotation Curves of Spiral Galaxies".
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5.20) has the highest proper motion at 5.281″ yr, discounting
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This motion is caused by the movement of the stars relative to the
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In red the diagram adds the components of proper motion across the
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allows calculations of an object's motion from the Solar System's
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Motions in equatorial coordinates can be converted to motions in
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If the proper motion in right ascension has been converted by cos
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Proper motion was suspected by early astronomers (according to
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is predicted in about 4.5 billion years. Proper motion of the
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Measure of observed changes in the apparent locations of stars
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to examine the images by eye. More modern techniques such as
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D. Scott Birney; Guillermo Gonzalez; David Oesper (2007).
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D. Scott Birney; Guillermo Gonzalez; David Oesper (2007).
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Philosophical Transactions of the Royal Society of London
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Matra Marconi Space, Alenia Spazio (September 15, 2003).
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The celestial north and south poles are above/below
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Journal of the Royal Astronomical Society of Canada
1177:AD 400) but a proof was not provided until 1718 by 1153:proper motion predicts a distance to the galaxy of 1865: 1727:Hipparcos: Catalogues: The Millennium Star Atlas: 1299: 955:{\displaystyle \mu \cos \theta =\mu _{\delta }\ .} 954: 905: 767: 681: 571: 497: 339:. The Sun travels in a nearly circular orbit (the 143:, compared to the abstract background of the more 101: 74: 1778:Monthly Notices of the Royal Astronomical Society 1442:M Reid; A Brunthaler; Xu Ye; et al. (2008). 1098:intrinsically faint and angularly small, such as 3726: 2005: 1211: 2058: 1978: 1414: 1949: 215:Knowledge of the proper motion, distance, and 2153: 1681: 1634: 1470: 44:radian/s. If there has been no distortion by 2062:A History of Ancient Mathematical Astronomy 1593:. Cambridge University Press. p. 252. 1473:Annual Review of Astronomy and Astrophysics 1444:"Mapping the Milky Way and the Local Group" 1306:. Jones & Bartlett Publishers. p.  1006:, showing position every 5 years 1985–2005. 184:). Their combined value is computed as the 2160: 2146: 2133:Edmond Halley: Discovery of proper motions 2052: 1999: 1888: 1421:. Cambridge University Press. p. 79. 1394:. Cambridge University Press. p. 73. 1367:. Cambridge University Press. p. 87. 1340:. Cambridge University Press. p. 75. 1329: 1327: 1109:. Coupled with measurements of the stars' 1075: 1033:of 9.54, it is too faint to see without a 2019: 1908: 1826: 1789: 1607: 1544: 1484: 1972: 1693:. University of Virginia. Archived from 1688: 998: 315:over historical time. As examples, both 238: 150:The components for proper motion in the 29: 1985:. Oxford University Press. p. 17. 1738: 1628: 1381: 1324: 1291: 356:Any proper motion is a two-dimensional 123:measure of the observed changes in the 3727: 1448:Mapping the Galaxy and Nearby Galaxies 1361:Simon F. Green; Mark H. Jones (2004). 1132:Proper motions of the galaxies in the 1053:6.42), proper motion: 7.058″ yr. 2141: 1859: 1744: 1435: 782:is the declination. The factor in cos 1812: 1806: 1577: 1464: 1446:. In F Combes; Keiichi Wada (eds.). 1408: 1364:An Introduction to the Sun and Stars 1354: 1298:Theo Koupelis; Karl F. Kuhn (2007). 812:the "proper motion in declination". 2128:Hipparcos: High Proper Motion Stars 1517: 1081:images taken many years apart. The 837:is related to these components by: 582:The magnitude of the proper motion 432:. The proper motions are given by: 13: 1638:The Stars: A study of the Universe 1614:Charles Leander Doolittle (1890). 1120:, and has a mass of 4.3 Ă— 10  1064:became the first star to have its 554: 483: 75:{\displaystyle {\frac {v_{t}}{d}}} 14: 3761: 2121: 1663:. ESA. p. 25. Archived from 1279:Very-long-baseline interferometry 801:, which must be multiplied by cos 3712: 3700: 3688: 3676: 3649: 3639: 3638: 1956:Gough, Evan (12 February 2019). 1218:List of high-proper-motion stars 162:) are given in the direction of 2079: 1765: 1721: 1708: 1649: 1590:Textbook on Spherical Astronomy 1229:Astronomical coordinate systems 234: 1587:; Robin Michael Green (1977). 1503:10.1146/annurev.astro.39.1.137 1239:Leonard–Merritt mass estimator 1107:Leonard-Merritt mass estimator 1: 3551:Timeline of stellar astronomy 1729:The Top 20 High Proper Motion 1284: 1212:Stars with high proper motion 1146:Andromeda–Milky Way collision 1144:was measured in 2012, and an 401:) with respect to a constant 212:or milliarcseconds per year. 135:in the sky, as seen from the 2097:(355): 736–738. 1719-12-31. 2065:. Birkhäuser. p. 1084. 1870:. In Siegfried Röser (ed.). 1689:Majewski, Steven R. (2006). 1197:roughly 1850 years earlier. 1017:away. After the Sun and the 277:The proper motion vector is 152:equatorial coordinate system 7: 3211:Hertzsprung–Russell diagram 1960:. The Astrophysical Journal 1955: 1874:. Wiley. pp. 179–194. 1868:"M33 – Distance and Motion" 1866:Andreas Brunthaler (2005). 1222: 972: 819:, the result is designated 10: 3766: 3125:Kelvin–Helmholtz mechanism 1269:Space velocity (astronomy) 1215: 1164: 36:A year ago the object was 18: 3634: 3559: 3408: 3306: 3234: 3133: 2990: 2865: 2743: 2652: 2388: 2379: 2258: 2188: 2175: 2167: 1533:The Astrophysical Journal 980:high-proper motion stars. 227:, that in respect to the 225:coordinate transformation 3504:With multiple exoplanets 2059:Otto Neugebauer (1975). 1979:Steven Weinberg (2008). 1415:Horace A. Smith (2004). 1302:In Quest of the Universe 692:technically abbreviated: 319:in the northern sky and 19:Not to be confused with 2290:Asymptotic giant branch 1927:10.1126/science.1108342 1495:2001ARA&A..39..137S 1391:Observational Astronomy 1337:Observational Astronomy 1076:Usefulness in astronomy 3626:Tidal disruption event 3115:Circumstellar envelope 2349:Luminous blue variable 2103:10.1098/rstl.1717.0025 1735:, retrieved 2019-06-27 1635:Simon Newcomb (1904). 1585:William Marshall Smart 1150:NGC 4258 (M106) galaxy 1007: 956: 907: 769: 683: 573: 499: 345:) about the center of 308: 113: 103: 76: 48:or otherwise then ÎĽ = 3750:Concepts in astronomy 3151:Effective temperature 1815:Astrophysical Journal 1733:European Space Agency 1234:Galaxy rotation curve 1002: 957: 908: 770: 684: 574: 500: 242: 104: 102:{\displaystyle v_{t}} 77: 46:gravitational lensing 33: 3621:Planet-hosting stars 3499:With resolved images 3470:Historical brightest 3400:Photometric-standard 3326:Solar radio emission 3120:Eddington luminosity 2900:Triple-alpha process 2838:Thorne–Żytkow object 2213:Young stellar object 1791:10.1093/mnras/stx812 1025:known star. Being a 993:common proper motion 967:galactic coordinates 918: 844: 699: 597: 510: 439: 86: 52: 3445:Highest temperature 3216:Color–color diagram 3081:Protoplanetary disk 2885:Proton–proton chain 2563:Chemically peculiar 2030:1999Natur.400..539H 1919:2005Sci...307.1440B 1903:(5714): 1440–1443. 1837:2003ApJ...586L.127G 1759:1992JRASC..86..221L 1718:by Steven Majewski. 1641:. Putnam. pp.  1555:2005ApJ...633..894L 1181:, who noticed that 833:The position angle 828:Hipparcos Catalogue 588:Pythagorean theorem 420:) to coordinates (α 374:arcseconds per year 186:total proper motion 3450:Lowest temperature 3201:Photometric system 3171:Absolute magnitude 3105:Circumstellar dust 2718:Stellar black hole 2354:Stellar population 2240:Herbig–Haro object 1274:Stellar kinematics 1091:image differencing 1083:Palomar Sky Survey 1031:apparent magnitude 1021:system, it is the 1008: 988:open star clusters 952: 903: 765: 679: 569: 495: 428:) in a time Δ 309: 221:frame of reference 114: 99: 72: 3740:Stellar astronomy 3664: 3663: 3567:Substellar object 3546:Planetary nebulae 2965:Luminous red nova 2875:Deuterium burning 2861: 2860: 2344:Instability strip 2324:Wolf-Rayet nebula 2278:Horizontal branch 2223:Pre-main-sequence 2072:978-3-540-06995-9 2014:(6744): 539–541. 1992:978-0-19-852682-7 1881:978-3-527-40608-1 1620:. Wiley. p.  1600:978-0-521-29180-4 1457:978-0-387-72767-7 1428:978-0-521-54817-5 1401:978-0-521-85370-5 1374:978-0-521-54622-5 1347:978-0-521-85370-5 1317:978-0-7637-4387-1 1259:Relative velocity 1249:Peculiar velocity 1138:Triangulum Galaxy 1111:radial velocities 1087:blink comparators 1066:Bayer designation 948: 899: 761: 675: 565: 561: 490: 133:celestial objects 70: 3757: 3745:Motion (physics) 3717: 3716: 3715: 3705: 3704: 3703: 3693: 3692: 3691: 3681: 3680: 3679: 3672: 3656:Stars portal 3654: 3653: 3642: 3641: 3298:Planetary system 3221:Strömgren sphere 3093:Asteroseismology 2814:Black hole star 2386: 2385: 2312:Planetary nebula 2273:Red-giant branch 2162: 2155: 2148: 2139: 2138: 2115: 2114: 2083: 2077: 2076: 2056: 2050: 2049: 2023: 2021:astro-ph/9907013 2003: 1997: 1996: 1976: 1970: 1969: 1967: 1965: 1958:"Universe Today" 1953: 1947: 1946: 1912: 1910:astro-ph/0503058 1892: 1886: 1885: 1863: 1857: 1856: 1830: 1828:astro-ph/0302299 1821:(2): L127–L131. 1810: 1804: 1803: 1793: 1769: 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105: 100: 98: 97: 81: 79: 78: 73: 71: 66: 65: 56: 25:stellar parallax 3765: 3764: 3760: 3759: 3758: 3756: 3755: 3754: 3725: 3724: 3723: 3713: 3711: 3701: 3699: 3689: 3687: 3677: 3675: 3667: 3665: 3660: 3648: 3630: 3555: 3524:Milky Way novae 3460:Smallest volume 3404: 3385:Radial velocity 3308: 3302: 3254:Common envelope 3230: 3129: 3098:Helioseismology 3069:Bipolar outflow 3010:Microturbulence 3005:Convection zone 2986: 2880:Lithium burning 2867:Nucleosynthesis 2857: 2739: 2648: 2375: 2254: 2203:Molecular cloud 2184: 2171: 2166: 2124: 2119: 2118: 2085: 2084: 2080: 2073: 2057: 2053: 2004: 2000: 1993: 1977: 1973: 1963: 1961: 1954: 1950: 1893: 1889: 1882: 1864: 1860: 1811: 1807: 1770: 1766: 1743: 1739: 1726: 1722: 1713: 1709: 1700: 1698: 1686: 1682: 1673: 1671: 1667: 1660: 1654: 1650: 1633: 1629: 1612: 1608: 1601: 1582: 1578: 1528: 1522: 1518: 1469: 1465: 1458: 1440: 1436: 1429: 1413: 1409: 1402: 1386: 1382: 1375: 1359: 1355: 1348: 1332: 1325: 1318: 1296: 1292: 1287: 1254:Radial velocity 1225: 1220: 1214: 1167: 1156: 1154: 1127: 1124: 1078: 975: 940: 936: 919: 916: 915: 888: 884: 866: 862: 845: 842: 841: 825: 811: 800: 753: 743: 739: 738: 737: 728: 721: 717: 716: 715: 706: 702: 700: 697: 696: 661: 657: 648: 641: 637: 636: 635: 626: 619: 615: 614: 613: 604: 600: 598: 595: 594: 553: 546: 542: 533: 529: 528: 526: 517: 513: 511: 508: 507: 482: 475: 471: 462: 458: 457: 455: 446: 442: 440: 437: 436: 427: 423: 419: 415: 399: 388: 381:right ascension 289:right ascension 276: 273: 270: 264: 237: 217:radial velocity 183: 172: 164:right ascension 125:apparent places 111: 93: 89: 87: 84: 83: 61: 57: 55: 53: 50: 49: 35: 28: 21:proper velocity 17: 12: 11: 5: 3763: 3753: 3752: 3747: 3742: 3737: 3722: 3721: 3709: 3697: 3685: 3662: 3661: 3659: 3658: 3646: 3635: 3632: 3631: 3629: 3628: 3623: 3618: 3613: 3608: 3603: 3598: 3593: 3592: 3591: 3586: 3585: 3584: 3579: 3563: 3561: 3557: 3556: 3554: 3553: 3548: 3543: 3542: 3541: 3536: 3526: 3521: 3516: 3511: 3506: 3501: 3496: 3495: 3494: 3489: 3488: 3487: 3477: 3472: 3467: 3462: 3457: 3455:Largest volume 3452: 3447: 3442: 3432: 3431: 3430: 3425: 3414: 3412: 3406: 3405: 3403: 3402: 3397: 3392: 3387: 3382: 3381: 3380: 3375: 3370: 3360: 3355: 3350: 3345: 3340: 3339: 3338: 3333: 3328: 3323: 3312: 3310: 3304: 3303: 3301: 3300: 3295: 3294: 3293: 3288: 3283: 3273: 3268: 3267: 3266: 3261: 3256: 3251: 3240: 3238: 3232: 3231: 3229: 3228: 3223: 3218: 3213: 3208: 3203: 3198: 3193: 3188: 3183: 3178: 3173: 3168: 3166:Magnetic field 3163: 3158: 3153: 3148: 3143: 3137: 3135: 3131: 3130: 3128: 3127: 3122: 3117: 3112: 3107: 3102: 3101: 3100: 3090: 3089: 3088: 3083: 3076:Accretion disk 3073: 3072: 3071: 3066: 3056: 3055: 3054: 3052:AlfvĂ©n surface 3049: 3047:Stellar corona 3044: 3039: 3034: 3024: 3022:Radiation zone 3019: 3018: 3017: 3012: 3002: 2996: 2994: 2988: 2987: 2985: 2984: 2979: 2978: 2977: 2972: 2967: 2962: 2957: 2947: 2942: 2937: 2932: 2927: 2922: 2917: 2912: 2907: 2902: 2897: 2892: 2887: 2882: 2877: 2871: 2869: 2863: 2862: 2859: 2858: 2856: 2855: 2850: 2845: 2840: 2835: 2830: 2829: 2828: 2823: 2820: 2812: 2811: 2810: 2805: 2800: 2795: 2790: 2785: 2780: 2775: 2770: 2760: 2755: 2749: 2747: 2741: 2740: 2738: 2737: 2732: 2731: 2730: 2720: 2715: 2714: 2713: 2708: 2707: 2706: 2701: 2691: 2681: 2680: 2679: 2669: 2664: 2658: 2656: 2650: 2649: 2647: 2646: 2644:Blue straggler 2641: 2640: 2639: 2629: 2624: 2623: 2622: 2612: 2611: 2610: 2605: 2600: 2595: 2590: 2585: 2580: 2575: 2570: 2560: 2555: 2554: 2553: 2548: 2543: 2533: 2532: 2531: 2521: 2520: 2519: 2514: 2509: 2499: 2494: 2493: 2492: 2487: 2482: 2472: 2467: 2462: 2457: 2456: 2455: 2450: 2440: 2439: 2438: 2433: 2428: 2423: 2418: 2413: 2408: 2402:Main sequence 2400: 2395: 2389: 2383: 2381:Classification 2377: 2376: 2374: 2373: 2372: 2371: 2366: 2356: 2351: 2346: 2341: 2336: 2331: 2326: 2321: 2320: 2319: 2317:Protoplanetary 2309: 2304: 2303: 2302: 2297: 2287: 2286: 2285: 2275: 2270: 2264: 2262: 2256: 2255: 2253: 2252: 2247: 2242: 2237: 2236: 2235: 2230: 2225: 2220: 2210: 2205: 2200: 2194: 2192: 2186: 2185: 2183: 2182: 2176: 2173: 2172: 2165: 2164: 2157: 2150: 2142: 2136: 2135: 2130: 2123: 2122:External links 2120: 2117: 2116: 2078: 2071: 2051: 1998: 1991: 1971: 1948: 1887: 1880: 1858: 1845:10.1086/374804 1805: 1784:(1): 763–773. 1764: 1737: 1720: 1707: 1680: 1648: 1627: 1606: 1599: 1576: 1563:10.1086/491644 1539:(2): 894–898. 1516: 1463: 1456: 1434: 1427: 1418:RR Lyrae Stars 1407: 1400: 1380: 1373: 1353: 1346: 1323: 1316: 1289: 1288: 1286: 1283: 1282: 1281: 1276: 1271: 1266: 1261: 1256: 1251: 1246: 1241: 1236: 1231: 1224: 1221: 1216:Main article: 1213: 1210: 1166: 1163: 1125: 1122: 1077: 1074: 1019:Alpha Centauri 1011:Barnard's Star 1004:Barnard's Star 974: 971: 963: 962: 951: 943: 939: 935: 932: 929: 926: 923: 913: 902: 894: 891: 887: 883: 880: 877: 874: 869: 865: 861: 858: 855: 852: 849: 823: 809: 798: 776: 775: 764: 756: 749: 746: 742: 736: 731: 724: 720: 714: 709: 705: 694: 689: 678: 672: 669: 664: 660: 656: 651: 644: 640: 634: 629: 622: 618: 612: 607: 603: 580: 579: 568: 559: 556: 549: 545: 541: 536: 532: 525: 520: 516: 505: 494: 488: 485: 478: 474: 470: 465: 461: 454: 449: 445: 425: 421: 417: 413: 397: 386: 362:position angle 351:Sagittarius A* 313:constellations 305:position angle 236: 233: 181: 170: 137:center of mass 96: 92: 69: 64: 60: 15: 9: 6: 4: 3: 2: 3762: 3751: 3748: 3746: 3743: 3741: 3738: 3736: 3733: 3732: 3730: 3720: 3710: 3708: 3698: 3696: 3686: 3684: 3674: 3673: 3670: 3657: 3652: 3647: 3645: 3637: 3636: 3633: 3627: 3624: 3622: 3619: 3617: 3616:Intergalactic 3614: 3612: 3609: 3607: 3604: 3602: 3599: 3597: 3596:Galactic year 3594: 3590: 3587: 3583: 3580: 3578: 3575: 3574: 3573: 3570: 3569: 3568: 3565: 3564: 3562: 3558: 3552: 3549: 3547: 3544: 3540: 3537: 3535: 3532: 3531: 3530: 3527: 3525: 3522: 3520: 3517: 3515: 3512: 3510: 3507: 3505: 3502: 3500: 3497: 3493: 3490: 3486: 3483: 3482: 3481: 3478: 3476: 3475:Most luminous 3473: 3471: 3468: 3466: 3463: 3461: 3458: 3456: 3453: 3451: 3448: 3446: 3443: 3441: 3438: 3437: 3436: 3433: 3429: 3426: 3424: 3421: 3420: 3419: 3416: 3415: 3413: 3411: 3407: 3401: 3398: 3396: 3393: 3391: 3390:Proper motion 3388: 3386: 3383: 3379: 3376: 3374: 3371: 3369: 3366: 3365: 3364: 3361: 3359: 3356: 3354: 3353:Constellation 3351: 3349: 3346: 3344: 3341: 3337: 3334: 3332: 3329: 3327: 3324: 3322: 3321:Solar eclipse 3319: 3318: 3317: 3314: 3313: 3311: 3307:Earth-centric 3305: 3299: 3296: 3292: 3289: 3287: 3284: 3282: 3279: 3278: 3277: 3274: 3272: 3269: 3265: 3262: 3260: 3257: 3255: 3252: 3250: 3247: 3246: 3245: 3242: 3241: 3239: 3237: 3233: 3227: 3224: 3222: 3219: 3217: 3214: 3212: 3209: 3207: 3204: 3202: 3199: 3197: 3194: 3192: 3189: 3187: 3184: 3182: 3179: 3177: 3174: 3172: 3169: 3167: 3164: 3162: 3159: 3157: 3154: 3152: 3149: 3147: 3144: 3142: 3139: 3138: 3136: 3132: 3126: 3123: 3121: 3118: 3116: 3113: 3111: 3108: 3106: 3103: 3099: 3096: 3095: 3094: 3091: 3087: 3084: 3082: 3079: 3078: 3077: 3074: 3070: 3067: 3065: 3062: 3061: 3060: 3057: 3053: 3050: 3048: 3045: 3043: 3040: 3038: 3035: 3033: 3030: 3029: 3028: 3025: 3023: 3020: 3016: 3013: 3011: 3008: 3007: 3006: 3003: 3001: 2998: 2997: 2995: 2993: 2989: 2983: 2980: 2976: 2973: 2971: 2968: 2966: 2963: 2961: 2958: 2956: 2953: 2952: 2951: 2948: 2946: 2943: 2941: 2938: 2936: 2933: 2931: 2928: 2926: 2923: 2921: 2918: 2916: 2913: 2911: 2908: 2906: 2905:Alpha process 2903: 2901: 2898: 2896: 2893: 2891: 2888: 2886: 2883: 2881: 2878: 2876: 2873: 2872: 2870: 2868: 2864: 2854: 2851: 2849: 2846: 2844: 2841: 2839: 2836: 2834: 2831: 2827: 2824: 2821: 2819: 2816: 2815: 2813: 2809: 2806: 2804: 2801: 2799: 2796: 2794: 2791: 2789: 2786: 2784: 2781: 2779: 2776: 2774: 2771: 2769: 2766: 2765: 2764: 2761: 2759: 2756: 2754: 2751: 2750: 2748: 2746: 2742: 2736: 2733: 2729: 2726: 2725: 2724: 2721: 2719: 2716: 2712: 2709: 2705: 2702: 2700: 2697: 2696: 2695: 2692: 2690: 2687: 2686: 2685: 2682: 2678: 2677:Helium planet 2675: 2674: 2673: 2670: 2668: 2667:Parker's star 2665: 2663: 2660: 2659: 2657: 2655: 2651: 2645: 2642: 2638: 2635: 2634: 2633: 2630: 2628: 2625: 2621: 2618: 2617: 2616: 2613: 2609: 2606: 2604: 2601: 2599: 2598:Lambda Boötis 2596: 2594: 2591: 2589: 2586: 2584: 2581: 2579: 2576: 2574: 2571: 2569: 2566: 2565: 2564: 2561: 2559: 2556: 2552: 2549: 2547: 2544: 2542: 2539: 2538: 2537: 2534: 2530: 2527: 2526: 2525: 2522: 2518: 2515: 2513: 2510: 2508: 2505: 2504: 2503: 2500: 2498: 2495: 2491: 2488: 2486: 2483: 2481: 2478: 2477: 2476: 2473: 2471: 2468: 2466: 2463: 2461: 2458: 2454: 2451: 2449: 2446: 2445: 2444: 2441: 2437: 2434: 2432: 2429: 2427: 2424: 2422: 2419: 2417: 2414: 2412: 2409: 2407: 2404: 2403: 2401: 2399: 2396: 2394: 2391: 2390: 2387: 2384: 2382: 2378: 2370: 2367: 2365: 2364:Superluminous 2362: 2361: 2360: 2357: 2355: 2352: 2350: 2347: 2345: 2342: 2340: 2337: 2335: 2332: 2330: 2327: 2325: 2322: 2318: 2315: 2314: 2313: 2310: 2308: 2305: 2301: 2298: 2296: 2293: 2292: 2291: 2288: 2284: 2281: 2280: 2279: 2276: 2274: 2271: 2269: 2268:Main sequence 2266: 2265: 2263: 2261: 2257: 2251: 2248: 2246: 2245:Hayashi track 2243: 2241: 2238: 2234: 2231: 2229: 2226: 2224: 2221: 2219: 2216: 2215: 2214: 2211: 2209: 2206: 2204: 2201: 2199: 2196: 2195: 2193: 2191: 2187: 2181: 2178: 2177: 2174: 2170: 2163: 2158: 2156: 2151: 2149: 2144: 2143: 2140: 2134: 2131: 2129: 2126: 2125: 2112: 2108: 2104: 2100: 2096: 2092: 2088: 2082: 2074: 2068: 2064: 2063: 2055: 2047: 2043: 2039: 2038:10.1038/22972 2035: 2031: 2027: 2022: 2017: 2013: 2009: 2002: 1994: 1988: 1984: 1983: 1975: 1959: 1952: 1944: 1940: 1936: 1932: 1928: 1924: 1920: 1916: 1911: 1906: 1902: 1898: 1891: 1883: 1877: 1873: 1869: 1862: 1854: 1850: 1846: 1842: 1838: 1834: 1829: 1824: 1820: 1816: 1809: 1801: 1797: 1792: 1787: 1783: 1779: 1775: 1768: 1760: 1756: 1752: 1748: 1741: 1734: 1730: 1724: 1717: 1716:lecture notes 1711: 1697:on 2012-01-25 1696: 1692: 1684: 1666: 1659: 1652: 1644: 1640: 1639: 1631: 1623: 1619: 1618: 1610: 1602: 1596: 1592: 1591: 1586: 1580: 1572: 1568: 1564: 1560: 1556: 1552: 1547: 1542: 1538: 1534: 1527: 1520: 1512: 1508: 1504: 1500: 1496: 1492: 1487: 1482: 1478: 1474: 1467: 1459: 1453: 1449: 1445: 1438: 1430: 1424: 1420: 1419: 1411: 1403: 1397: 1393: 1392: 1384: 1376: 1370: 1366: 1365: 1357: 1349: 1343: 1339: 1338: 1330: 1328: 1319: 1313: 1309: 1304: 1303: 1294: 1290: 1280: 1277: 1275: 1272: 1270: 1267: 1265: 1262: 1260: 1257: 1255: 1252: 1250: 1247: 1245: 1242: 1240: 1237: 1235: 1232: 1230: 1227: 1226: 1219: 1209: 1207: 1203: 1198: 1196: 1192: 1188: 1184: 1180: 1179:Edmund Halley 1176: 1172: 1162: 1151: 1147: 1143: 1139: 1135: 1130: 1128: 1119: 1114: 1112: 1108: 1103: 1101: 1096: 1092: 1088: 1084: 1073: 1071: 1067: 1063: 1058: 1054: 1052: 1048: 1044: 1040: 1036: 1032: 1028: 1024: 1020: 1016: 1012: 1005: 1001: 997: 995: 994: 989: 985: 981: 970: 968: 949: 941: 937: 933: 930: 927: 924: 921: 914: 900: 892: 889: 885: 881: 878: 875: 872: 867: 863: 859: 856: 853: 850: 847: 840: 839: 838: 836: 831: 829: 822: 818: 813: 808: 804: 797: 793: 789: 785: 781: 762: 754: 747: 744: 740: 734: 729: 722: 718: 712: 707: 703: 695: 693: 690: 676: 670: 667: 662: 658: 654: 649: 642: 638: 632: 627: 620: 616: 610: 605: 601: 593: 592: 591: 589: 585: 566: 557: 547: 543: 539: 534: 530: 523: 518: 514: 506: 492: 486: 476: 472: 468: 463: 459: 452: 447: 443: 435: 434: 433: 431: 411: 406: 404: 400: 393: 389: 382: 377: 375: 371: 367: 363: 359: 354: 352: 348: 344: 343: 338: 334: 329: 327: 322: 318: 314: 306: 302: 298: 294: 290: 286: 282: 281: 268: 262: 258: 257:March equinox 254: 250: 246: 241: 232: 230: 226: 222: 218: 213: 211: 207: 203: 199: 195: 191: 187: 180: 176: 169: 165: 161: 157: 153: 148: 146: 145:distant stars 142: 138: 134: 130: 126: 122: 118: 117:Proper motion 94: 90: 67: 62: 58: 47: 43: 39: 32: 26: 22: 3719:Solar System 3519:White dwarfs 3509:Brown dwarfs 3492:Most distant 3440:Most massive 3418:Proper names 3389: 3378:Photographic 3331:Solar System 3309:observations 3236:Star systems 3059:Stellar wind 3042:Chromosphere 3015:Oscillations 2895:Helium flash 2745:Hypothetical 2723:X-ray binary 2662:Compact star 2497:Bright giant 2250:Henyey track 2228:Herbig Ae/Be 2094: 2093:(in Latin). 2090: 2081: 2061: 2054: 2011: 2007: 2001: 1981: 1974: 1962:. Retrieved 1951: 1900: 1896: 1890: 1871: 1861: 1818: 1814: 1808: 1781: 1777: 1767: 1750: 1746: 1740: 1723: 1710: 1699:. Retrieved 1695:the original 1683: 1672:. Retrieved 1665:the original 1651: 1637: 1630: 1616: 1609: 1589: 1579: 1536: 1532: 1519: 1476: 1472: 1466: 1450:. Springer. 1447: 1437: 1417: 1410: 1390: 1383: 1363: 1356: 1336: 1301: 1293: 1202:postpositive 1199: 1174: 1168: 1159:0.5 Mpc 1131: 1115: 1104: 1079: 1059: 1055: 1009: 991: 984:double stars 979: 976: 964: 834: 832: 820: 816: 814: 806: 802: 795: 791: 787: 783: 779: 777: 691: 583: 581: 429: 407: 395: 384: 378: 355: 342:solar circle 340: 337:Solar System 330: 310: 300: 292: 284: 279: 278: 260: 252: 248: 244: 235:Introduction 214: 204:, typically 189: 185: 178: 167: 154:(of a given 149: 141:Solar System 116: 115: 41: 37: 3707:Outer space 3695:Spaceflight 3572:Brown dwarf 3348:Circumpolar 3226:Kraft break 3206:Color index 3181:Metallicity 3141:Designation 3110:Cosmic dust 3032:Photosphere 2798:Dark-energy 2773:Electroweak 2758:Black dwarf 2689:Radio-quiet 2672:White dwarf 2558:White dwarf 2208:Bok globule 1964:12 February 1479:: 137–174. 1134:Local Group 1062:Rho Aquilae 1049:(magnitude 1041:(magnitude 1015:light-years 392:declination 297:declination 175:declination 121:astrometric 3735:Astrometry 3729:Categories 3534:Candidates 3529:Supernovae 3514:Red dwarfs 3373:Extinction 3161:Kinematics 3156:Luminosity 3134:Properties 3027:Atmosphere 2925:Si burning 2915:Ne burning 2853:White hole 2826:Quasi-star 2753:Blue dwarf 2608:Technetium 2524:Hypergiant 2502:Supergiant 1701:2008-12-31 1674:2015-04-08 1285:References 1264:Solar apex 1195:Hipparchus 1100:red dwarfs 1039:61 Cygni A 410:components 347:the galaxy 317:Ursa Major 206:arcseconds 194:dimensions 192:). 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Index

proper velocity
stellar parallax

gravitational lensing
astrometric
apparent places
stars
celestial objects
center of mass
Solar System
distant stars
equatorial coordinate system
epoch
J2000.0
right ascension
declination
dimensions
angle
time
arcseconds
year
radial velocity
frame of reference
coordinate transformation
Milky Way

March equinox
celestial sphere
right ascension
declination

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