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Stellar parallax

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in the radio band can produce images with angular resolutions of about 1 milliarcsecond, and hence, for bright radio sources, the precision of parallax measurements made in the radio can easily exceed those of optical telescopes like Gaia. These measurements tend to be sensitivity limited, and need
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Any stars that did not move between observations are, for the purpose of the accuracy of the measurement, infinitely far away. This means that the distance of the movement of the Earth compared to the distance to these infinitely far away stars is, within the accuracy of the measurement, 0. Thus a
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The observed path is an ellipse: the projection of Earth's orbit around the Sun through S onto the distant background of non-moving stars. The farther S is removed from Earth's orbital axis, the greater the eccentricity of the path of S. The center of the ellipse corresponds to the point where S
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Precise parallax measurements of distance have an associated error. This error in the measured parallax angle does not translate directly into an error for the distance, except for relatively small errors. The reason for this is that an error toward a smaller angle results in a greater error in
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in conjunction with earth-based observatories. The relative proximity of the two stars combined with the 6.5 billion kilometer (about 43 AU) distance of the spacecraft from Earth yielded a discernible parallax of arcminutes, allowing the parallax to be seen visually without instrumentation.
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Measurement of annual parallax was the first reliable way to determine the distances to the closest stars. In the second quarter of the 19th century, technological progress reached to the level which provided sufficient accuracy and precision for stellar parallax measurements.
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for all moderately bright stars, thus mapping nearby stars (and potentially planets) up to a distance of tens of thousands of light-years from Earth. Data Release 2 in 2018 claims mean errors for the parallaxes of 15th magnitude and brighter stars of 20–40 microarcseconds.
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Those three results, two of which were measured with the best instruments at the time (Fraunhofer great refractor used by Struve and Fraunhofer heliometer by Bessel) were the first ones in history to establish the reliable distance scale to the stars.
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of nearby stars, increasing the number of stellar parallaxes measured to milliarcsecond accuracy a thousandfold. Even so, Hipparcos is only able to measure parallax angles for stars up to about 1,600
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that for it to be compatible with the lack of observable stellar parallax, there would have to be an enormous and unlikely void between the orbit of Saturn and the eighth sphere (the fixed stars).
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The reception of Copernicus' heliocentric theory: proceedings of a symposium organized by the Nicolas Copernicus Committee of the International Union of the History and Philosophy of Science
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The plane of Earth's orbit is at an angle to a line from the Sun through S. The vertices v and v' of the elliptical projection of the path of S are projections of positions of Earth E and E
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now has a precision of 20 to 40 microarcseconds, enabling reliable distance measurements up to 3,066 parsecs (10,000 ly) for a small number of stars. This gives more accuracy to the
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itself is considered to be half of this maximum, about equivalent to the observational shift that would occur due to the different positions of Earth and the Sun, a baseline of one
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is the parallax. The approximation is far more accurate for parallax errors that are small relative to the parallax than for relatively large errors. For meaningful results in
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to be made one at a time, so the work is generally done only for sources like pulsars and X-ray binaries, where the radio emission is strong relative to the optical emission.
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sped the process in the early 20th century. Automated plate-measuring machines and more sophisticated computer technology of the 1960s allowed more efficient compilation of
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that the effect would be undetectable if the stars were far enough away, but for various reasons, such gigantic distances involved seemed entirely implausible: it was one of
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The angles involved in these calculations are very small and thus difficult to measure. The nearest star to the Sun (and also the star with the largest parallax),
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Stellar parallax is so small that it was unobservable until the 19th century, and its apparent absence was used as a scientific argument against
1171:{\displaystyle d=1{\text{ au}}\cdot 180\cdot {\frac {3600}{\pi }}\approx 206,265{\text{ au}}\approx 3.2616{\text{ ly}}\equiv 1{\text{ parsec}}.} 1555:"Stellarum duplicium et multiplicium mensurae micrometricae per magnum Fraunhoferi tubum annis a 1824 ad 1837 in specula Dorpatensi institutae" 1771: 783:. Annual parallax is normally measured by observing the position of a star at different times of the year as Earth moves through its orbit. 570:
line of sight from Earth's first position E to vertex v will be essentially the same as a line of sight from the Earth's second position E
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Being very difficult to measure, only about 60 stellar parallaxes had been obtained by the end of the 19th century, mostly by use of the
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As distances between the two points of observation are increased, the visual effect of the parallax is likewise rendered more visible.
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Stellar parallax is so difficult to detect that its existence was the subject of much debate in astronomy for hundreds of years.
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to the same vertex v, and will therefore run parallel to it - impossible to depict convincingly in an image of limited size:
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Stars that did not seem to move in relation to each other are used as reference points to determine the path of S.
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is the parallax, 1 au (149,600,000 km) is approximately the average distance from the Sun to Earth, and
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Throughout the year the position of a star S is noted in relation to other stars in its apparent neighborhood:
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Habison, Peter (1998). "Astrometry and early astrophysics at Kuffner Observatory in the late 19th century".
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first tried to measure stellar parallaxes in 1729. The stellar movement proved too insignificant for his
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and improves the knowledge of distances in the Universe, based on the dimensions of the Earth's orbit.
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which was a gross overestimate. The first successful stellar parallax measurements were done by
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Hubble precision stellar distance measurement has been extended 10 times further into the
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performed the first interstellar parallax measurement on 22 April 2020, taking images of
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is a transversal in the same (approximately Euclidean) plane as parallel lines E-v and E
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Stellar parallax remains the standard for calibrating other measurement methods (see
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noted stellar parallax in 1805-6 and came up with a 4-second value for the star
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intersects the line Sun-S at a right angle; the triangle created by points E, E
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and S is an isosceles triangle with the line Sun-S as its symmetry axis.
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made first successful parallax measurements in 1832–1838, for the stars
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in 1832–1833, where he measured parallax of one of the closest stars,
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Parallax of Proxima Centauri as observed from New Horizons and Earth.
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by an object 2 centimeters in diameter located 5.3 kilometers away.
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However, an approximation of the distance error can be computed by
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Dyson, F. W. (1915). "Measurement of the distances of the stars".
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Similar derivations are in most astronomy textbooks. See, e.g.,
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Data Release 2: Summary of the contents and survey properties"
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Data Release 2: Summary of the contents and survey properties"
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Reid, Mark (2020). "The first stellar parallaxes revisited".
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away, a little more than one percent of the diameter of the
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The split lens of the Bamberg Heliometer (late 19th century)
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Henderson, Thomas (1840). "On the Parallax of α Centauri".
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Stellar parallax measures are given in the tiny units of
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The more distant an object is, the smaller its parallax.
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from the Sun to S now follows from simple trigonometry:
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Bestimmung der Entfernung des 61sten Sterns des Schwans
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and 1 parsec are not to scale, 1 parsec = ~206265 AU)
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was launched primarily for obtaining parallaxes and
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London: Chatto & Windus. p. 42. 1467: 182: 2147:Introductory Astronomy & Astrophysics 2101: 2042: 2032: 2022: 1977: 1967: 1957: 1806: 1643: 1546: 1525: 1510: 1484: 834: 518:Learn how and when to remove this message 119: 2106:Parallax: The Race to Measure the Cosmos 1439: 381: 319: 312:reflection off the surfaces of planets. 268: 194: 186: 133:The Dollond heliometer of the late 1700s 128: 27: 21:For broader coverage of this topic, see 2124: 1991: 1989: 1876: 1845: 1685: 1623: 3783: 604:is equal to the angle θ between E 273:Diagram of a heliometer from the 1911 32:Stellar parallax is the basis for the 2197: 1995: 1930: 1721:CERN paper on plate measuring machine 1528:Memoirs of Royal Astronomical Society 1986: 1889:from the original on 4 November 2023 1858:from the original on 4 November 2023 1629: 456:adding citations to reliable sources 427: 262:A large heliometer was installed at 227:. Between 1835 and 1836, astronomer 2091:from the original on 18 March 2015. 1924: 1910:"ESA's Gaia Mission to study stars" 1585: 1440:Buchheim, Robert (4 October 2007). 902:is the distance to the star. Using 406: 315: 63:is the apparent shift of position ( 13: 2166: 1907: 1289: 1285: 696:the angle of one arcsecond at one 418: 239:, publishing his results in 1837. 229:Friedrich Georg Wilhelm von Struve 98:Friedrich Georg Wilhelm von Struve 14: 3812: 412:Very long baseline interferometry 36:, which is the distance from the 3768: 3756: 3744: 3732: 3705: 3695: 3694: 1877:Talbert, Tricia (10 July 2020). 1846:Talbert, Tricia (10 June 2020). 432: 171:, but he instead discovered the 2051: 1901: 1870: 1839: 1763: 1738: 1726: 1714: 1620:, vol. 16, pp. 65–96. 1487:"On the Parallax of α Centauri" 443:needs additional citations for 1597: 1461: 1433: 1405: 1: 3607:Timeline of stellar astronomy 1398: 797: 544:would be seen from the Sun: 233:Dorpat university observatory 2010:Astronomy & Astrophysics 1945:Astronomy & Astrophysics 423: 7: 3267:Hertzsprung–Russell diagram 2110:. New York: W. H. Freeman. 2102:Hirshfeld, Alan w. (2001). 2071:van Leeuwen, Floor (2007). 2044:10.1051/0004-6361/201833051 1979:10.1051/0004-6361/201833051 1825:10.1088/0004-637X/785/2/161 1380: 762: 157:'s principal objections to 73:. Created by the different 10: 3817: 3181:Kelvin–Helmholtz mechanism 1688:Acta Historica Astronomiae 1485:Henderson, Thomas (1839). 1443:The Sky is Your Laboratory 904:small-angle approximations 81:between observations. The 75:orbital positions of Earth 20: 3690: 3615: 3464: 3362: 3290: 3189: 3046: 2921: 2799: 2708: 2444: 2435: 2314: 2244: 2231: 2223: 2125:Whipple, Fred L. (2007). 2059:Zeilik & Gregory 1998 1795:The Astrophysical Journal 1733:Zeilik & Gregory 1998 1632:Astronomische Nachrichten 1617:Astronomische Nachrichten 1592:Zeilik & Gregory 1998 1559:Astronomische Nachrichten 668:θ), where E-Sun is 1 AU. 235:measured the distance of 125:Early theory and attempts 3560:With multiple exoplanets 1579:10.1002/asna.18370141609 1226: 652:so that d = E-Sun / tan( 159:Copernican heliocentrism 2346:Asymptotic giant branch 2034:2018A&A...616A...1G 1969:2018A&A...616A...1G 368:New Horizons spacecraft 332:In 1989, the satellite 275:Encyclopædia Britannica 245:Koenigsberg Observatory 183:19th and 20th centuries 71:stellar parallax method 3682:Tidal disruption event 3171:Circumstellar envelope 2405:Luminous blue variable 2127:Earth Moon and Planets 1662:10.1002/asna.202013833 1512:10.1093/mnras/4.19.168 1356: 1217: 1172: 1074: 1001: 896: 876: 853: 749: 702:skinny right triangles 675: 623: 581: 551: 537: 387: 357:cosmic distance ladder 329: 306:Cosmic distance ladder 299:charge-coupled devices 278: 200: 192: 134: 120:History of measurement 57: 3801:Concepts in astronomy 3207:Effective temperature 1357: 1218: 1216:{\displaystyle d=1/p} 1173: 1075: 1002: 897: 877: 854: 750: 674: 622: 580: 550: 536: 392:European Space Agency 385: 351:The Hubble telescope 323: 272: 198: 190: 132: 31: 23:Parallax in astronomy 3677:Planet-hosting stars 3555:With resolved images 3526:Historical brightest 3456:Photometric-standard 3382:Solar radio emission 3176:Eddington luminosity 2956:Triple-alpha process 2894:Thorne–Żytkow object 2269:Young stellar object 1471:Studies in astronomy 1369:is the distance and 1242: 1193: 1090: 1017: 917: 886: 866: 813: 712: 558:such that a line E-E 452:improve this article 206:Giuseppe Calandrelli 16:Concept in astronomy 3501:Highest temperature 3272:Color–color diagram 3137:Protoplanetary disk 2941:Proton–proton chain 2619:Chemically peculiar 2187:1915Obs....38..292D 1817:2014ApJ...785..161R 1700:1998AcHA....3...93H 1654:2020AN....341..860R 1571:1837AN.....14..249S 1540:1840MmRAS..11...61H 1503:1839MNRAS...4..168H 1468:Gore, J.E. (1904). 291:photographic plates 289:using astronomical 264:Kuffner Observatory 191:Bessel's heliometer 173:aberration of light 145:. It is clear from 42:astronomical object 3506:Lowest temperature 3257:Photometric system 3227:Absolute magnitude 3161:Circumstellar dust 2774:Stellar black hole 2410:Stellar population 2296:Herbig–Haro object 1610:2007-06-24 at the 1352: 1213: 1168: 1070: 997: 892: 872: 849: 745: 676: 624: 582: 552: 538: 467:"Stellar parallax" 388: 330: 279: 201: 193: 135: 79:astronomical units 58: 3720: 3719: 3623:Substellar object 3602:Planetary nebulae 3021:Luminous red nova 2931:Deuterium burning 2917: 2916: 2400:Instability strip 2380:Wolf-Rayet nebula 2334:Horizontal branch 2279:Pre-main-sequence 2136:978-1-4067-6413-0 2084:978-1-4020-6341-1 1912:. Astronomy Today 1750:ESA/Hubble Images 1453:978-0-387-73995-3 1429:978-90-277-0311-8 1375:stellar astronomy 1350: 1310: 1296: 1269: 1163: 1152: 1141: 1124: 1105: 1065: 1046: 1040: 992: 987: 962: 957: 938: 895:{\displaystyle d} 875:{\displaystyle p} 844: 838: 740: 721: 708:of the parallax: 528: 527: 520: 502: 87:astronomical unit 3808: 3773: 3772: 3771: 3761: 3760: 3759: 3749: 3748: 3747: 3737: 3736: 3735: 3728: 3712:Stars portal 3710: 3709: 3698: 3697: 3354:Planetary system 3277:Strömgren sphere 3149:Asteroseismology 2870:Black hole star 2442: 2441: 2368:Planetary nebula 2329:Red-giant branch 2218: 2211: 2204: 2195: 2194: 2190: 2160: 2140: 2121: 2109: 2093: 2092: 2068: 2062: 2055: 2049: 2048: 2046: 2036: 2026: 1993: 1984: 1983: 1981: 1971: 1961: 1928: 1922: 1921: 1919: 1917: 1908:Henney, Paul J. 1905: 1899: 1898: 1896: 1894: 1874: 1868: 1867: 1865: 1863: 1843: 1837: 1836: 1810: 1788: 1786: 1784: 1767: 1761: 1760: 1758: 1756: 1742: 1736: 1730: 1724: 1718: 1712: 1711: 1683: 1674: 1673: 1647: 1627: 1621: 1601: 1595: 1589: 1583: 1582: 1550: 1544: 1543: 1523: 1517: 1516: 1514: 1482: 1476: 1475: 1465: 1459: 1457: 1437: 1431: 1409: 1392:TAU (spacecraft) 1361: 1359: 1358: 1353: 1351: 1349: 1348: 1339: 1331: 1320: 1316: 1315: 1311: 1303: 1297: 1295: 1284: 1274: 1270: 1262: 1222: 1220: 1219: 1214: 1209: 1177: 1175: 1174: 1169: 1164: 1161: 1153: 1150: 1142: 1139: 1125: 1117: 1106: 1103: 1079: 1077: 1076: 1071: 1066: 1058: 1047: 1042: 1041: 1038: 1032: 1027: 1006: 1004: 1003: 998: 993: 991: arcseconds 990: 988: 980: 963: 960: 958: 950: 939: 936: 901: 899: 898: 893: 881: 879: 878: 873: 858: 856: 855: 850: 845: 840: 839: 836: 829: 788:Proxima Centauri 757:Proxima Centauri 754: 752: 751: 746: 741: 738: 733: 722: 719: 667: 665: 664: 661: 658: 649:θ) = E-Sun / d, 648: 646: 645: 642: 639: 615: 611: 607: 603: 599: 595: 591: 587: 573: 565: 561: 557: 523: 516: 512: 509: 503: 501: 460: 436: 428: 419:Parallax method 407:Radio astrometry 372:Proxima Centauri 346:Milky Way Galaxy 316:Space astrometry 297:. In the 1980s, 283:filar micrometer 241:Friedrich Bessel 214:Thomas Henderson 143:early modern age 102:Friedrich Bessel 94:Thomas Henderson 61:Stellar parallax 3816: 3815: 3811: 3810: 3809: 3807: 3806: 3805: 3781: 3780: 3779: 3769: 3767: 3757: 3755: 3745: 3743: 3733: 3731: 3723: 3721: 3716: 3704: 3686: 3611: 3580:Milky Way novae 3516:Smallest volume 3460: 3441:Radial velocity 3364: 3358: 3310:Common envelope 3286: 3185: 3154:Helioseismology 3125:Bipolar outflow 3066:Microturbulence 3061:Convection zone 3042: 2936:Lithium burning 2923:Nucleosynthesis 2913: 2795: 2704: 2431: 2310: 2259:Molecular cloud 2240: 2227: 2222: 2175:The Observatory 2169: 2167:Further reading 2164: 2157: 2137: 2118: 2097: 2096: 2085: 2069: 2065: 2056: 2052: 1997:Brown, A. G. A. 1994: 1987: 1932:Brown, A. G. A. 1929: 1925: 1915: 1913: 1906: 1902: 1892: 1890: 1875: 1871: 1861: 1859: 1844: 1840: 1782: 1780: 1768: 1764: 1754: 1752: 1744: 1743: 1739: 1731: 1727: 1719: 1715: 1684: 1677: 1628: 1624: 1612:Wayback Machine 1602: 1598: 1590: 1586: 1565:(16): 249–252. 1551: 1547: 1524: 1520: 1497:(19): 168–170. 1483: 1479: 1466: 1462: 1454: 1438: 1434: 1410: 1406: 1401: 1383: 1344: 1340: 1332: 1330: 1302: 1298: 1288: 1283: 1282: 1278: 1261: 1257: 1243: 1240: 1239: 1229: 1205: 1194: 1191: 1190: 1160: 1149: 1138: 1116: 1102: 1091: 1088: 1087: 1057: 1037: 1033: 1031: 1020: 1018: 1015: 1014: 989: 979: 959: 949: 935: 918: 915: 914: 887: 884: 883: 867: 864: 863: 835: 830: 828: 814: 811: 810: 800: 769:annual parallax 765: 737: 729: 718: 713: 710: 709: 662: 659: 656: 655: 653: 650: 643: 640: 637: 636: 634: 613: 609: 605: 601: 597: 593: 589: 585: 571: 563: 559: 555: 524: 513: 507: 504: 461: 459: 449: 437: 426: 421: 409: 318: 295:star catalogues 185: 127: 122: 26: 17: 12: 11: 5: 3814: 3804: 3803: 3798: 3793: 3778: 3777: 3765: 3753: 3741: 3718: 3717: 3715: 3714: 3702: 3691: 3688: 3687: 3685: 3684: 3679: 3674: 3669: 3664: 3659: 3654: 3649: 3648: 3647: 3642: 3641: 3640: 3635: 3619: 3617: 3613: 3612: 3610: 3609: 3604: 3599: 3598: 3597: 3592: 3582: 3577: 3572: 3567: 3562: 3557: 3552: 3551: 3550: 3545: 3544: 3543: 3533: 3528: 3523: 3518: 3513: 3511:Largest volume 3508: 3503: 3498: 3488: 3487: 3486: 3481: 3470: 3468: 3462: 3461: 3459: 3458: 3453: 3448: 3443: 3438: 3437: 3436: 3431: 3426: 3416: 3411: 3406: 3401: 3396: 3395: 3394: 3389: 3384: 3379: 3368: 3366: 3360: 3359: 3357: 3356: 3351: 3350: 3349: 3344: 3339: 3329: 3324: 3323: 3322: 3317: 3312: 3307: 3296: 3294: 3288: 3287: 3285: 3284: 3279: 3274: 3269: 3264: 3259: 3254: 3249: 3244: 3239: 3234: 3229: 3224: 3222:Magnetic field 3219: 3214: 3209: 3204: 3199: 3193: 3191: 3187: 3186: 3184: 3183: 3178: 3173: 3168: 3163: 3158: 3157: 3156: 3146: 3145: 3144: 3139: 3132:Accretion disk 3129: 3128: 3127: 3122: 3112: 3111: 3110: 3108:AlfvĂ©n surface 3105: 3103:Stellar corona 3100: 3095: 3090: 3080: 3078:Radiation zone 3075: 3074: 3073: 3068: 3058: 3052: 3050: 3044: 3043: 3041: 3040: 3035: 3034: 3033: 3028: 3023: 3018: 3013: 3003: 2998: 2993: 2988: 2983: 2978: 2973: 2968: 2963: 2958: 2953: 2948: 2943: 2938: 2933: 2927: 2925: 2919: 2918: 2915: 2914: 2912: 2911: 2906: 2901: 2896: 2891: 2886: 2885: 2884: 2879: 2876: 2868: 2867: 2866: 2861: 2856: 2851: 2846: 2841: 2836: 2831: 2826: 2816: 2811: 2805: 2803: 2797: 2796: 2794: 2793: 2788: 2787: 2786: 2776: 2771: 2770: 2769: 2764: 2763: 2762: 2757: 2747: 2737: 2736: 2735: 2725: 2720: 2714: 2712: 2706: 2705: 2703: 2702: 2700:Blue straggler 2697: 2696: 2695: 2685: 2680: 2679: 2678: 2668: 2667: 2666: 2661: 2656: 2651: 2646: 2641: 2636: 2631: 2626: 2616: 2611: 2610: 2609: 2604: 2599: 2589: 2588: 2587: 2577: 2576: 2575: 2570: 2565: 2555: 2550: 2549: 2548: 2543: 2538: 2528: 2523: 2518: 2513: 2512: 2511: 2506: 2496: 2495: 2494: 2489: 2484: 2479: 2474: 2469: 2464: 2458:Main sequence 2456: 2451: 2445: 2439: 2437:Classification 2433: 2432: 2430: 2429: 2428: 2427: 2422: 2412: 2407: 2402: 2397: 2392: 2387: 2382: 2377: 2376: 2375: 2373:Protoplanetary 2365: 2360: 2359: 2358: 2353: 2343: 2342: 2341: 2331: 2326: 2320: 2318: 2312: 2311: 2309: 2308: 2303: 2298: 2293: 2292: 2291: 2286: 2281: 2276: 2266: 2261: 2256: 2250: 2248: 2242: 2241: 2239: 2238: 2232: 2229: 2228: 2221: 2220: 2213: 2206: 2198: 2192: 2191: 2168: 2165: 2163: 2162: 2155: 2142: 2135: 2129:. Read Books. 2122: 2116: 2098: 2095: 2094: 2083: 2063: 2050: 1985: 1923: 1900: 1869: 1838: 1791:Riess, Adam G. 1762: 1737: 1735:, § 22-3. 1725: 1713: 1675: 1638:(9): 860–869. 1622: 1596: 1584: 1545: 1518: 1477: 1460: 1452: 1432: 1403: 1402: 1400: 1397: 1396: 1395: 1389: 1387:Apparent place 1382: 1379: 1363: 1362: 1347: 1343: 1338: 1335: 1329: 1326: 1323: 1319: 1314: 1309: 1306: 1301: 1294: 1291: 1287: 1281: 1277: 1273: 1268: 1265: 1260: 1256: 1253: 1250: 1247: 1228: 1225: 1212: 1208: 1204: 1201: 1198: 1179: 1178: 1167: 1159: 1156: 1148: 1145: 1137: 1134: 1131: 1128: 1123: 1120: 1115: 1112: 1109: 1101: 1098: 1095: 1081: 1080: 1069: 1064: 1061: 1056: 1053: 1050: 1045: 1036: 1030: 1026: 1023: 1008: 1007: 996: 986: 983: 978: 975: 972: 969: 966: 956: 953: 948: 945: 942: 934: 931: 928: 925: 922: 891: 871: 860: 859: 848: 843: 833: 827: 824: 821: 818: 804:right triangle 799: 796: 764: 761: 744: 739: (arcsec) 736: 732: 728: 725: 717: 691:right triangle 632: 526: 525: 440: 438: 431: 425: 422: 420: 417: 408: 405: 338:proper motions 317: 314: 225:Alpha Centauri 184: 181: 126: 123: 121: 118: 106:Alpha Centauri 15: 9: 6: 4: 3: 2: 3813: 3802: 3799: 3797: 3794: 3792: 3789: 3788: 3786: 3776: 3766: 3764: 3754: 3752: 3742: 3740: 3730: 3729: 3726: 3713: 3708: 3703: 3701: 3693: 3692: 3689: 3683: 3680: 3678: 3675: 3673: 3672:Intergalactic 3670: 3668: 3665: 3663: 3660: 3658: 3655: 3653: 3652:Galactic year 3650: 3646: 3643: 3639: 3636: 3634: 3631: 3630: 3629: 3626: 3625: 3624: 3621: 3620: 3618: 3614: 3608: 3605: 3603: 3600: 3596: 3593: 3591: 3588: 3587: 3586: 3583: 3581: 3578: 3576: 3573: 3571: 3568: 3566: 3563: 3561: 3558: 3556: 3553: 3549: 3546: 3542: 3539: 3538: 3537: 3534: 3532: 3531:Most luminous 3529: 3527: 3524: 3522: 3519: 3517: 3514: 3512: 3509: 3507: 3504: 3502: 3499: 3497: 3494: 3493: 3492: 3489: 3485: 3482: 3480: 3477: 3476: 3475: 3472: 3471: 3469: 3467: 3463: 3457: 3454: 3452: 3449: 3447: 3446:Proper motion 3444: 3442: 3439: 3435: 3432: 3430: 3427: 3425: 3422: 3421: 3420: 3417: 3415: 3412: 3410: 3409:Constellation 3407: 3405: 3402: 3400: 3397: 3393: 3390: 3388: 3385: 3383: 3380: 3378: 3377:Solar eclipse 3375: 3374: 3373: 3370: 3369: 3367: 3363:Earth-centric 3361: 3355: 3352: 3348: 3345: 3343: 3340: 3338: 3335: 3334: 3333: 3330: 3328: 3325: 3321: 3318: 3316: 3313: 3311: 3308: 3306: 3303: 3302: 3301: 3298: 3297: 3295: 3293: 3289: 3283: 3280: 3278: 3275: 3273: 3270: 3268: 3265: 3263: 3260: 3258: 3255: 3253: 3250: 3248: 3245: 3243: 3240: 3238: 3235: 3233: 3230: 3228: 3225: 3223: 3220: 3218: 3215: 3213: 3210: 3208: 3205: 3203: 3200: 3198: 3195: 3194: 3192: 3188: 3182: 3179: 3177: 3174: 3172: 3169: 3167: 3164: 3162: 3159: 3155: 3152: 3151: 3150: 3147: 3143: 3140: 3138: 3135: 3134: 3133: 3130: 3126: 3123: 3121: 3118: 3117: 3116: 3113: 3109: 3106: 3104: 3101: 3099: 3096: 3094: 3091: 3089: 3086: 3085: 3084: 3081: 3079: 3076: 3072: 3069: 3067: 3064: 3063: 3062: 3059: 3057: 3054: 3053: 3051: 3049: 3045: 3039: 3036: 3032: 3029: 3027: 3024: 3022: 3019: 3017: 3014: 3012: 3009: 3008: 3007: 3004: 3002: 2999: 2997: 2994: 2992: 2989: 2987: 2984: 2982: 2979: 2977: 2974: 2972: 2969: 2967: 2964: 2962: 2961:Alpha process 2959: 2957: 2954: 2952: 2949: 2947: 2944: 2942: 2939: 2937: 2934: 2932: 2929: 2928: 2926: 2924: 2920: 2910: 2907: 2905: 2902: 2900: 2897: 2895: 2892: 2890: 2887: 2883: 2880: 2877: 2875: 2872: 2871: 2869: 2865: 2862: 2860: 2857: 2855: 2852: 2850: 2847: 2845: 2842: 2840: 2837: 2835: 2832: 2830: 2827: 2825: 2822: 2821: 2820: 2817: 2815: 2812: 2810: 2807: 2806: 2804: 2802: 2798: 2792: 2789: 2785: 2782: 2781: 2780: 2777: 2775: 2772: 2768: 2765: 2761: 2758: 2756: 2753: 2752: 2751: 2748: 2746: 2743: 2742: 2741: 2738: 2734: 2733:Helium planet 2731: 2730: 2729: 2726: 2724: 2723:Parker's star 2721: 2719: 2716: 2715: 2713: 2711: 2707: 2701: 2698: 2694: 2691: 2690: 2689: 2686: 2684: 2681: 2677: 2674: 2673: 2672: 2669: 2665: 2662: 2660: 2657: 2655: 2654:Lambda Boötis 2652: 2650: 2647: 2645: 2642: 2640: 2637: 2635: 2632: 2630: 2627: 2625: 2622: 2621: 2620: 2617: 2615: 2612: 2608: 2605: 2603: 2600: 2598: 2595: 2594: 2593: 2590: 2586: 2583: 2582: 2581: 2578: 2574: 2571: 2569: 2566: 2564: 2561: 2560: 2559: 2556: 2554: 2551: 2547: 2544: 2542: 2539: 2537: 2534: 2533: 2532: 2529: 2527: 2524: 2522: 2519: 2517: 2514: 2510: 2507: 2505: 2502: 2501: 2500: 2497: 2493: 2490: 2488: 2485: 2483: 2480: 2478: 2475: 2473: 2470: 2468: 2465: 2463: 2460: 2459: 2457: 2455: 2452: 2450: 2447: 2446: 2443: 2440: 2438: 2434: 2426: 2423: 2421: 2420:Superluminous 2418: 2417: 2416: 2413: 2411: 2408: 2406: 2403: 2401: 2398: 2396: 2393: 2391: 2388: 2386: 2383: 2381: 2378: 2374: 2371: 2370: 2369: 2366: 2364: 2361: 2357: 2354: 2352: 2349: 2348: 2347: 2344: 2340: 2337: 2336: 2335: 2332: 2330: 2327: 2325: 2324:Main sequence 2322: 2321: 2319: 2317: 2313: 2307: 2304: 2302: 2301:Hayashi track 2299: 2297: 2294: 2290: 2287: 2285: 2282: 2280: 2277: 2275: 2272: 2271: 2270: 2267: 2265: 2262: 2260: 2257: 2255: 2252: 2251: 2249: 2247: 2243: 2237: 2234: 2233: 2230: 2226: 2219: 2214: 2212: 2207: 2205: 2200: 2199: 2196: 2188: 2184: 2180: 2176: 2171: 2170: 2158: 2156:0-03-006228-4 2152: 2148: 2143: 2138: 2132: 2128: 2123: 2119: 2117:0-7167-3711-6 2113: 2108: 2107: 2100: 2099: 2090: 2086: 2080: 2076: 2075: 2067: 2060: 2054: 2045: 2040: 2035: 2030: 2025: 2020: 2016: 2012: 2011: 2006: 2004: 1998: 1992: 1990: 1980: 1975: 1970: 1965: 1960: 1955: 1951: 1947: 1946: 1941: 1939: 1933: 1927: 1911: 1904: 1888: 1884: 1880: 1873: 1857: 1853: 1849: 1842: 1834: 1830: 1826: 1822: 1818: 1814: 1809: 1804: 1800: 1796: 1792: 1779: 1778: 1773: 1766: 1751: 1747: 1741: 1734: 1729: 1723:USNO StarScan 1722: 1717: 1709: 1705: 1701: 1697: 1693: 1689: 1682: 1680: 1671: 1667: 1663: 1659: 1655: 1651: 1646: 1641: 1637: 1633: 1626: 1619: 1618: 1613: 1609: 1606: 1603:Bessel, FW, " 1600: 1594:, p. 44. 1593: 1588: 1580: 1576: 1572: 1568: 1564: 1560: 1556: 1549: 1541: 1537: 1533: 1529: 1522: 1513: 1508: 1504: 1500: 1496: 1492: 1488: 1481: 1473: 1472: 1464: 1455: 1449: 1445: 1444: 1436: 1430: 1426: 1422: 1421:90-277-0311-6 1418: 1414: 1408: 1404: 1393: 1390: 1388: 1385: 1384: 1378: 1376: 1372: 1368: 1345: 1341: 1336: 1333: 1327: 1324: 1321: 1317: 1312: 1307: 1304: 1299: 1292: 1279: 1275: 1271: 1266: 1263: 1258: 1254: 1251: 1248: 1245: 1238: 1237: 1236: 1233: 1224: 1210: 1206: 1202: 1199: 1196: 1188: 1184: 1165: 1157: 1154: 1146: 1143: 1135: 1132: 1129: 1126: 1121: 1118: 1113: 1110: 1107: 1099: 1096: 1093: 1086: 1085: 1084: 1067: 1062: 1059: 1054: 1051: 1048: 1043: 1034: 1028: 1024: 1021: 1013: 1012: 1011: 994: 984: 981: 976: 973: 970: 967: 964: 961: degrees 954: 951: 946: 943: 940: 937: radians 932: 929: 926: 923: 920: 913: 912: 911: 909: 905: 889: 869: 846: 841: 831: 825: 822: 819: 816: 809: 808: 807: 805: 795: 793: 789: 784: 782: 778: 774: 770: 760: 758: 755:For example, 742: 734: 730: 726: 723: 715: 707: 703: 699: 695: 692: 688: 684: 679: 673: 669: 631: 629: 626:The distance 621: 617: 579: 575: 567: 549: 545: 541: 535: 531: 522: 519: 511: 500: 497: 493: 490: 486: 483: 479: 476: 472: 469: â€“  468: 464: 463:Find sources: 457: 453: 447: 446: 441:This section 439: 435: 430: 429: 416: 413: 404: 401: 397: 393: 384: 380: 377: 373: 369: 365: 360: 358: 354: 349: 347: 343: 339: 335: 327: 322: 313: 311: 307: 302: 300: 296: 292: 288: 284: 276: 271: 267: 265: 260: 256: 254: 250: 249:61 Cygni 247:for the star 246: 242: 238: 234: 230: 226: 222: 219: 215: 211: 207: 197: 189: 180: 178: 174: 170: 166: 165:James Bradley 162: 160: 156: 152: 148: 144: 140: 139:heliocentrism 131: 117: 115: 114:61 Cygni 111: 107: 103: 99: 95: 90: 88: 84: 80: 76: 72: 68: 67: 62: 55: 51: 48:angle of one 47: 43: 39: 35: 30: 24: 19: 3775:Solar System 3575:White dwarfs 3565:Brown dwarfs 3548:Most distant 3496:Most massive 3474:Proper names 3450: 3434:Photographic 3387:Solar System 3365:observations 3292:Star systems 3115:Stellar wind 3098:Chromosphere 3071:Oscillations 2951:Helium flash 2801:Hypothetical 2779:X-ray binary 2718:Compact star 2553:Bright giant 2306:Henyey track 2284:Herbig Ae/Be 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Index

Parallax in astronomy

parsec
Sun
astronomical object
parallax
arcsecond
AU
parallax
orbital positions of Earth
astronomical units
parallax
astronomical unit
Thomas Henderson
Friedrich Georg Wilhelm von Struve
Friedrich Bessel
Alpha Centauri
Vega
61 Cygni

heliocentrism
early modern age
Euclid
geometry
Tycho Brahe
Copernican heliocentrism
James Bradley
telescope
aberration of light
nutation

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