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Trojan (celestial body)

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4420: 33: 4584: 2504: 4560: 200: 4396: 4408: 4572: 109:, which is close to the center of the star because it is usually much more massive than the orbiting planet. In turn, a much smaller mass than both the star and the planet, located at one of the Lagrangian points of the star–planet system, is subject to a combined gravitational force that acts through this barycenter. Hence the smallest object orbits around the barycenter with the same 4548: 2837: 781:
Whether or not a system of star, planet, and trojan is stable depends on how large the perturbations are to which it is subject. If, for example, the planet is the mass of Earth, and there is also a Jupiter-mass object orbiting that star, the trojan's orbit would be much less stable than if the
998:, then both must exceed 13+√168 ≈ 25.9615. However, this all assumes a three-body system; once other bodies are introduced, even if distant and small, stability of the system requires even larger ratios. 136:(trailing Jupiter). More than a million Jupiter trojans larger than one kilometer are thought to exist, of which more than 7,000 are currently catalogued. In other planetary orbits only nine 4323: 3897: 4293: 4094: 2391: 288:. In the restricted three-body problem, with one mass negligible (which Lagrange did not consider), the five possible positions of that mass are now termed 73:(mostly asteroids) that shares the orbit of a larger body, remaining in a stable orbit approximately 60° ahead of or behind the main body near one of its 2540: 1172: 2424: 1649: 4330: 3882: 57:, on the orbital path of the secondary object (blue), around the primary object (yellow). All of the Lagrange points are highlighted in red. 4027: 2439: 1853: 1821: 2848: 3793: 156:
is also known. Numerical orbital dynamics stability simulations indicate that Saturn probably does not have any primordial trojans.
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The same arrangement can appear when the primary object is a planet and the secondary is one of its moons, whereby much smaller
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Christou, Apostolos A.; Wiegert, Paul (January 2012). "A population of main belt asteroids co-orbiting with Ceres and Vesta".
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Whiteley, Robert J.; Tholen, David J. (November 1998). "A CCD Search for Lagrangian Asteroids of the Earth–Sun System".
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point of Jupiter are named for the characters from the Greek side of the war, whereas those orbiting near the L
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Sheppard, Scott S.; Trujillo, Chadwick A. (June 2006). "A Thick Cloud of Neptune Trojans and their Colors".
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Chiang, Eugene I.; Lithwick, Yoram (20 July 2005). "Neptune Trojans as a Testbed for Planet Formation".
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of Jupiter are from the Trojan side. There are two exceptions, named before the convention was adopted:
299:) that orbit close to the Lagrangian points of Jupiter. These have long been named for figures from the 4538: 4303: 4104: 3987: 3970: 3936: 2868: 2810: 2738: 2728: 1531: 946:→+∞, then under Newtonian gravity, the system is stable whatever the planet and trojan masses. And if 4146: 4121: 3931: 2733: 1885: 1833: 2865: 4437: 4042: 2569: 2353: 102: 2123: 4126: 3953: 3504: 3417: 3117: 2967: 2858: 2849: 2753: 2637: 2549: 2234: 2106: 1786: 1451: 4131: 4069: 4017: 4007: 3992: 3943: 3803: 3733: 3155: 2843: 2674: 1027: 4052: 2863: 2855: 2852: 1375: 1287:
Connors, Martin; Wiegert, Paul; Veillet, Christian (27 July 2011). "Earth's Trojan asteroid".
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More formally, in a three-body system with circular orbits, the stability condition is 27(
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obtained two constant-pattern solutions (collinear and equilateral) of the general
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de la Fuente Marcos, Carlos; de la Fuente Marcos, Raúl (21 May 2017).
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Later on, objects were found orbiting near the Lagrangian points of
105:. In this arrangement, a star and a planet orbit about their common 4518: 4356: 3823: 3679: 3664: 3405: 3112: 2960: 2599: 1802: 1689: 1599: 1508: 1272: 1247: 1102: 1077: 624: 458: 1736: 1418: 1055:. Lecture Notes in Physics. Vol. 790. Springer. p. 197. 3760: 3748: 3674: 3073: 3051: 2926: 2911: 1650:"Trojan asteroid: Another object found that shares Earth's orbit" 539: 338: 295:
The term "trojan" originally referred to the "trojan asteroids" (
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de la Fuente Marcos, C.; de la Fuente Marcos, R. (15 May 2013).
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as the planet, and the arrangement can remain stable over time.
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is a temporary Venusian trojan, the first one to be identified.
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was found to be another Earth trojan in 2021. It is also at L4.
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As a rule of thumb, the system is likely to be long-lived if
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can share its orbit. All known trojan moons are part of the
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trailing Jupiter along its orbital path. It also shows the
4547: 2879: 1078:"Size Distribution of Faint Jovian L4 Trojan Asteroids" 1553:"First Asteroid Companion of Earth Discovered at Last" 4536: 1286: 1049:"An introduction to the dynamics of trojan asteroids" 1053:
Dynamics of Small Solar System Bodies and Exoplanets
1040: 402:– the only Trojan body in the leading "cloud" at L 307:. By convention, the asteroids orbiting near the L 116:In the Solar System, most known trojans share the 1715: 1677:Monthly Notices of the Royal Astronomical Society 1406:Monthly Notices of the Royal Astronomical Society 1393: 827:are the masses of the star, planet, and trojan). 475:Lagrangian point, which lies ahead of the Earth. 4596: 1248:"Size distribution of faint L4 Trojan asteroids" 1116: 2839: 1721: 1245: 1075: 939:≈ 24.9599. And if the star were hyper-massive, 1476: 1339: 1046: 722: 705: 702: 619: 593: 576: 573: 439:, but these have not yet been accepted by the 330:are about as numerous as the asteroids of the 3000: 2811: 2548: 2534: 1787: 1660: 1207:"Planetary science: The Trojan is out there" 1110: 1076:Yoshida, F.; Nakamura, T. (December 2005). 1051:. In Dvorak, Rudolf; Souchay, Jean (eds.). 2818: 2804: 2541: 2527: 1794: 1780: 1647: 1578: 1470: 1239: 1175:[Essay on the Three-Body Problem] 1069: 1735: 1706: 1688: 1616: 1598: 1579:Man-To Hui; et al. (November 2021). 1490: 1435: 1417: 1271: 1230: 1101: 1047:Robutel, Philippe; Souchay, Jean (2010). 27:Objects sharing the orbit of a larger one 4331:Interstellar and circumstellar molecules 1167: 198: 31: 4527:) may be read as "within" or "part of". 3555:Planetary orbit-crossing minor planets 1532:"Neptune May Have Thousands of Escorts" 1246:Yoshida, Fumi; Nakamura, Tsuko (2005). 1173:"Essai sur le Problème des Trois Corps" 890:). So the trojan being a mote of dust, 194: 152:, have been found to date. A temporary 14: 4597: 1529: 1280: 1204: 2799: 2522: 2024:Outer Solar System, does not include 1775: 1673:: a large transient Trojan of Uranus" 782:second planet had the mass of Pluto. 1550: 1544: 546: 467:was confirmed to be the first known 24: 2835: 1581:"The Second Earth Trojan 2020 XL5" 1402:"Three new stable L5 Mars Trojans" 1368: 1023:List of objects at Lagrange points 90:. Trojans can share the orbits of 25: 4621: 1551:Choi, Charles Q. (27 July 2011). 1530:Powell, David (30 January 2007). 4582: 4570: 4558: 4546: 4418: 4406: 4394: 2825: 2503: 2502: 1997:Between Earth and the main belt 1205:Wright, Alison (1 August 2011). 507:Lagrangian point. A second one, 4294:Gravitationally rounded objects 2392:Asteroids visited by spacecraft 1648:Leah Crane (22 November 2021). 1641: 1572: 1523: 1444: 748: 711: 708: 645: 608: 582: 579: 503:in 2013. It is located at the L 471:in 2011. It is located in the L 1333: 1198: 1161: 326:Astronomers estimate that the 13: 1: 1801: 1586:Astrophysical Journal Letters 1033: 897:→0, imposes a lower bound on 1754:10.1016/j.icarus.2011.10.016 776: 759: 756: 719: 684: 681: 656: 653: 616: 590: 499:was identified as the first 273:In 1772, the Italian–French 207:are seen in this graphic as 120:. They are divided into the 7: 4389:Outline of the Solar System 4152:Interplanetary medium/space 1001: 128:(ahead of Jupiter) and the 10: 4626: 4105:Extraterrestrial materials 406:, There seem to be, also, 4425:Earth sciences portal 4384: 4339: 4276: 4147:Interplanetary dust cloud 4026: 3862: 3792: 3503: 3445: 3138: 2991: 2833: 2767: 2709: 2646: 2598: 2565: 2556: 2550:Small Solar System bodies 2486: 2453: 2440:Discovering observatories 2415: 2382: 2225: 2114: 2105: 2075: 2066: 1899: 1809: 1479:The Astrophysical Journal 1452:"List of Neptune Trojans" 1376:"List of Martian Trojans" 1187:: 229–331. Archived from 4438:Local Interstellar Cloud 3156:other near-Earth objects 1822:Physical characteristics 1618:10.3847/2041-8213/ac37bf 1252:The Astronomical Journal 1082:The Astronomical Journal 518:, was announced in 2017. 215:ahead of Jupiter and as 101:Trojans are one type of 4401:Solar System portal 4127:Giant-impact hypothesis 3734:Trans-Neptunian objects 1139:10.1126/science.1127173 542:have temporary trojans. 4289:Possible dwarf planets 4132:Gravitational collapse 4070:Circumstellar envelope 2875: 2675:Trans-Neptunian object 2471:Asteroids in astrology 1362:10.1006/icar.1998.5995 1169:Lagrange, Joseph-Louis 270: 58: 4498:Laniakea Supercluster 4115:Sample-return mission 2874: 2026:distant minor planets 1886:Palomar–Leiden survey 1844:Gravitational keyhole 1437:10.1093/mnrasl/slt028 319:in the L4 group, and 282:Joseph-Louis Lagrange 264: Hilda asteroids 248: Jupiter trojans 202: 35: 4413:Astronomy portal 4314:Solar System objects 4060:Circumplanetary disk 2648:Distant minor planet 2466:Asteroids in fiction 1708:10.1093/mnras/stx197 1194:on 22 December 2017. 534:The large asteroids 195:Trojan minor planets 4610:Trojans (astronomy) 4512:Observable universe 4309:Solar System models 4239:Protoplanetary disk 4162:Interstellar medium 4122:Frost/Ice/Snow line 1746:2012Icar..217...27C 1699:2017MNRAS.467.1561D 1609:2021ApJ...922L..25H 1501:2005ApJ...628..520C 1456:Minor Planet Center 1428:2013MNRAS.432L..31D 1380:Minor Planet Center 1354:1998Icar..136..154W 1311:10.1038/nature10233 1303:2011Natur.475..481C 1264:2005AJ....130.2900Y 1223:2011NatPh...7..592W 1131:2006Sci...313..511S 1094:2005AJ....130.2900Y 446:There are 28 known 441:Minor Planet Center 256: Asteroid belt 40:are located on the 4492:Virgo Supercluster 4473:Milky Way subgroup 4304:Natural satellites 4187:Nebular hypothesis 4167:Interstellar space 4157:Interstellar cloud 4065:Circumstellar disc 3655:Near-Earth objects 3539:names and meanings 2876: 1945:Interior to Earth 452:order of magnitude 286:three-body problem 271: 59: 4534: 4533: 4379: 4378: 4375: 4374: 4352:Lagrangian points 4324:by discovery date 3922:Human spaceflight 3893:historical models 3786: 3785: 3411:S/2015 (136472) 1 2793: 2792: 2705: 2704: 2590:Meanings of names 2516: 2515: 2378: 2377: 2374: 2373: 1817:Notable asteroids 1669:"Asteroid 2014 YX 1458:. 28 October 2018 1297:(7357): 481–483. 1232:10.1038/nphys2061 1125:(5786): 511–514. 1062:978-3-642-04457-1 774: 773: 547:Trojans by planet 448:Neptunian trojans 323:in the L5 group. 269: 268: 103:co-orbital object 75:Lagrangian points 16:(Redirected from 4617: 4587: 4586: 4575: 4574: 4573: 4563: 4562: 4561: 4551: 4550: 4542: 4528: 4526: 4517: 4510: 4503: 4496: 4490: 4484: 4478: 4471: 4464: 4457: 4450: 4443: 4436: 4423: 4422: 4421: 4411: 4410: 4409: 4399: 4398: 4397: 4100:Exozodiacal dust 3790: 3789: 3756:Detached objects 2998: 2997: 2994: 2993: 2838: 2820: 2813: 2806: 2797: 2796: 2563: 2562: 2543: 2536: 2529: 2520: 2519: 2506: 2505: 2112: 2111: 2073: 2072: 2046:Neptune-crossers 2031:Jupiter-crossers 2018:Active asteroids 1954:Mercury-crossers 1854:Close approaches 1834:Impact avoidance 1796: 1789: 1782: 1773: 1772: 1766: 1765: 1739: 1719: 1713: 1712: 1710: 1692: 1683:(2): 1561–1568. 1664: 1658: 1657: 1645: 1639: 1638: 1620: 1602: 1576: 1570: 1569: 1567: 1565: 1548: 1542: 1541: 1527: 1521: 1520: 1494: 1492:astro-ph/0502276 1474: 1468: 1467: 1465: 1463: 1448: 1442: 1441: 1439: 1421: 1397: 1391: 1390: 1388: 1386: 1372: 1366: 1365: 1337: 1331: 1330: 1284: 1278: 1277: 1275: 1243: 1237: 1236: 1234: 1202: 1196: 1195: 1193: 1181:Œuvres complètes 1178: 1165: 1159: 1158: 1114: 1108: 1107: 1105: 1088:(6): 2900–2911. 1073: 1067: 1066: 1044: 997: 995: 994: 986: 983: 971: 969: 968: 960: 957: 938: 936: 935: 932: 929: 922: 920: 919: 911: 908: 746: 744: 743: 739:(636872) 2014 YX 735: 733: 732: 728:(687170) 2011 QF 669: 667: 666: 662:(121514) 1999 UJ 643: 641: 640: 636:(614689) 2020 XL 632: 630: 629: 606: 604: 603: 551: 550: 530: 528: 527: 517: 515: 514: 510:(636872) 2014 YX 498: 496: 495: 491:(687170) 2011 QF 485: 483: 482: 478:(614689) 2020 XL 466: 464: 463: 438: 436: 435: 427: 425: 424: 416: 414: 413: 409:(385250) 2001 DH 401: 399: 398: 394:(121514) 1999 UJ 390: 388: 387: 383:(311999) 2007 NS 379: 377: 376: 372:(101429) 1998 VF 265: 263: 257: 255: 249: 247: 241: 240: 118:orbit of Jupiter 21: 4625: 4624: 4620: 4619: 4618: 4616: 4615: 4614: 4595: 4594: 4593: 4581: 4571: 4569: 4559: 4557: 4545: 4537: 4535: 4530: 4524: 4522: 4521: 4515: 4508: 4501: 4494: 4488: 4482: 4476: 4469: 4462: 4455: 4448: 4441: 4434: 4419: 4417: 4407: 4405: 4395: 4393: 4380: 4371: 4335: 4272: 4256:vs. Hill sphere 4182:Molecular cloud 4110:Sample curation 4090:Detached object 4029: 4022: 3866: 3858: 3795: 3782: 3727:Neptune trojans 3510: 3508: 3506: 3499: 3441: 3134: 3005: 2987: 2873: 2836: 2829: 2824: 2794: 2789: 2763: 2701: 2642: 2594: 2552: 2547: 2517: 2512: 2482: 2449: 2411: 2370: 2221: 2101: 2062: 2041:Uranus-crossers 2036:Saturn-crossers 1939:Neptune trojans 1929:Jupiter trojans 1895: 1805: 1800: 1770: 1769: 1720: 1716: 1672: 1665: 1661: 1646: 1642: 1577: 1573: 1563: 1561: 1549: 1545: 1528: 1524: 1475: 1471: 1461: 1459: 1450: 1449: 1445: 1398: 1394: 1384: 1382: 1374: 1373: 1369: 1338: 1334: 1285: 1281: 1244: 1240: 1203: 1199: 1191: 1176: 1166: 1162: 1115: 1111: 1074: 1070: 1063: 1045: 1041: 1036: 1018:Lissajous orbit 1004: 993: 987: 984: 982: 976: 975: 973: 967: 961: 958: 956: 950: 949: 947: 945: 933: 930: 927: 926: 924: 918: 912: 909: 907: 901: 900: 898: 896: 889: 882: 875: 868: 862: 855: 849: 842: 836: 826: 819: 812: 805: 798: 791: 779: 741: 740: 737: 730: 729: 726: 664: 663: 660: 638: 637: 634: 627: 626: 623: 601: 600: 597: 549: 525: 524: 521: 512: 511: 508: 506: 493: 492: 489: 480: 479: 476: 474: 461: 460: 457: 433: 432: 429: 422: 421: 418: 411: 410: 407: 405: 396: 395: 392: 385: 384: 381: 374: 373: 370: 363:Martian trojans 314: 310: 305:Greek mythology 290:Lagrange points 261: 260: 253: 252: 245: 244: 237:Hilda asteroids 222: 214: 205:Jupiter trojans 197: 175:are trojans of 142:Neptune trojans 135: 127: 88: 81: 55:Lagrange points 52: 45: 28: 23: 22: 18:Trojan asteroid 15: 12: 11: 5: 4623: 4613: 4612: 4607: 4592: 4591: 4579: 4567: 4555: 4532: 4531: 4428: 4427: 4415: 4403: 4391: 4385: 4382: 4381: 4377: 4376: 4373: 4372: 4370: 4369: 4364: 4359: 4354: 4349: 4343: 4341: 4337: 4336: 4334: 4333: 4328: 4327: 4326: 4321: 4311: 4306: 4301: 4296: 4291: 4286: 4280: 4278: 4274: 4273: 4271: 4270: 4268:Scattered disc 4265: 4260: 4259: 4258: 4248: 4243: 4242: 4241: 4236: 4235: 4234: 4224: 4219: 4214: 4209: 4199: 4194: 4189: 4184: 4179: 4174: 4169: 4164: 4159: 4154: 4149: 4144: 4139: 4134: 4129: 4124: 4119: 4118: 4117: 4112: 4102: 4097: 4092: 4087: 4082: 4077: 4072: 4067: 4062: 4057: 4056: 4055: 4053:Excretion disk 4048:Accretion disk 4045: 4040: 4038:Star formation 4034: 4032: 4024: 4023: 4021: 4020: 4015: 4010: 4005: 4000: 3995: 3990: 3985: 3984: 3983: 3973: 3968: 3963: 3962: 3961: 3951: 3946: 3941: 3940: 3939: 3934: 3929: 3927:space stations 3919: 3918: 3917: 3912: 3902: 3901: 3900: 3895: 3890: 3880: 3874: 3872: 3860: 3859: 3857: 3856: 3851: 3846: 3841: 3836: 3831: 3826: 3821: 3816: 3811: 3806: 3800: 3798: 3787: 3784: 3783: 3781: 3780: 3775: 3774: 3773: 3768: 3766:Scattered disc 3763: 3758: 3753: 3752: 3751: 3746: 3731: 3730: 3729: 3724: 3714: 3713: 3712: 3707: 3702: 3697: 3692: 3687: 3682: 3677: 3672: 3662: 3657: 3652: 3651: 3650: 3645: 3640: 3635: 3634: 3633: 3628: 3618: 3613: 3608: 3598: 3597: 3596: 3591: 3586: 3581: 3576: 3571: 3566: 3561: 3553: 3548: 3547: 3546: 3541: 3531: 3526: 3521: 3515: 3513: 3501: 3500: 3498: 3497: 3492: 3487: 3482: 3477: 3472: 3467: 3457: 3451: 3449: 3443: 3442: 3440: 3439: 3438: 3437: 3427: 3426: 3425: 3415: 3414: 3413: 3403: 3402: 3401: 3391: 3390: 3389: 3384: 3374: 3373: 3372: 3367: 3362: 3357: 3352: 3342: 3341: 3340: 3330: 3329: 3328: 3323: 3318: 3313: 3303: 3302: 3301: 3296: 3291: 3286: 3281: 3276: 3266: 3265: 3264: 3259: 3254: 3249: 3244: 3239: 3234: 3229: 3224: 3219: 3209: 3208: 3207: 3202: 3197: 3192: 3187: 3177: 3176: 3175: 3170: 3160: 3159: 3158: 3153: 3144: 3142: 3136: 3135: 3133: 3132: 3131: 3130: 3125: 3120: 3115: 3110: 3105: 3100: 3095: 3090: 3080: 3079: 3078: 3077: 3076: 3071: 3061: 3060: 3059: 3054: 3039: 3038: 3037: 3032: 3027: 3022: 3011: 3009: 2992: 2989: 2988: 2986: 2985: 2978: 2971: 2964: 2957: 2950: 2943: 2936: 2929: 2924: 2919: 2914: 2909: 2902: 2897: 2892: 2887: 2882: 2834: 2831: 2830: 2823: 2822: 2815: 2808: 2800: 2791: 2790: 2788: 2787: 2782: 2777: 2771: 2769: 2765: 2764: 2762: 2761: 2756: 2751: 2749:Near-parabolic 2746: 2741: 2736: 2731: 2726: 2721: 2715: 2713: 2707: 2706: 2703: 2702: 2700: 2699: 2698: 2697: 2695:Scattered disc 2692: 2687: 2682: 2672: 2667: 2666: 2665: 2663:Neptune trojan 2660: 2652: 2650: 2644: 2643: 2641: 2640: 2638:Spectral types 2635: 2630: 2628:Jupiter trojan 2625: 2620: 2615: 2610: 2604: 2602: 2596: 2595: 2593: 2592: 2587: 2582: 2577: 2572: 2566: 2560: 2554: 2553: 2546: 2545: 2538: 2531: 2523: 2514: 2513: 2511: 2510: 2499: 2498: 2493: 2487: 2484: 2483: 2481: 2480: 2479: 2478: 2468: 2463: 2457: 2455: 2451: 2450: 2448: 2447: 2445:Space missions 2442: 2437: 2432: 2427: 2421: 2419: 2413: 2412: 2410: 2409: 2404: 2399: 2394: 2388: 2386: 2380: 2379: 2376: 2375: 2372: 2371: 2369: 2368: 2367: 2366: 2361: 2356: 2351: 2346: 2336: 2335: 2334: 2331: 2328: 2325: 2314: 2313: 2312: 2311: 2308: 2305: 2302: 2299: 2296: 2291: 2286: 2281: 2276: 2271: 2261: 2260: 2259: 2256: 2253: 2250: 2247: 2242: 2231: 2229: 2223: 2222: 2220: 2219: 2218: 2217: 2212: 2207: 2202: 2197: 2192: 2187: 2176: 2175: 2174: 2173: 2168: 2163: 2153: 2148: 2147: 2146: 2141: 2136: 2131: 2120: 2118: 2109: 2103: 2102: 2100: 2099: 2092: 2087: 2081: 2079: 2070: 2068:Classification 2064: 2063: 2061: 2060: 2055: 2050: 2049: 2048: 2043: 2038: 2033: 2022: 2021: 2020: 2015: 2005: 2004: 2003: 1995: 1994: 1993: 1991:Earth-crossers 1988: 1983: 1978: 1973: 1963: 1962: 1961: 1959:Venus-crossers 1956: 1951: 1943: 1942: 1941: 1936: 1934:Uranus trojans 1931: 1926: 1921: 1916: 1905: 1903: 1897: 1896: 1894: 1893: 1891:Contact binary 1888: 1883: 1878: 1873: 1872: 1871: 1866: 1856: 1851: 1846: 1841: 1836: 1831: 1830: 1829: 1827:dynamic method 1819: 1813: 1811: 1807: 1806: 1799: 1798: 1791: 1784: 1776: 1768: 1767: 1714: 1670: 1659: 1640: 1571: 1543: 1522: 1509:10.1086/430825 1485:(1): 520–532. 1469: 1443: 1392: 1367: 1348:(1): 154–167. 1332: 1279: 1273:10.1086/497571 1258:(6): 2900–11. 1238: 1211:Nature Physics 1197: 1160: 1109: 1103:10.1086/497571 1068: 1061: 1038: 1037: 1035: 1032: 1031: 1030: 1025: 1020: 1015: 1013:Jupiter trojan 1010: 1003: 1000: 991: 980: 965: 954: 943: 916: 905: 894: 887: 880: 873: 866: 860: 853: 847: 840: 834: 824: 817: 810: 803: 796: 789: 778: 775: 772: 771: 766: 761: 758: 755: 751: 750: 747: 724: 721: 718: 714: 713: 710: 707: 704: 701: 697: 696: 691: 686: 683: 680: 676: 675: 670: 658: 655: 652: 648: 647: 644: 621: 618: 615: 611: 610: 607: 595: 592: 589: 585: 584: 581: 578: 575: 572: 568: 567: 564: 561: 558: 555: 548: 545: 544: 543: 532: 519: 504: 487: 472: 455: 444: 403: 328:Jovian trojans 312: 308: 297:Jovian trojans 267: 266: 258: 250: 220: 212: 196: 193: 146:Uranus trojans 133: 125: 111:orbital period 86: 79: 71:celestial body 50: 43: 26: 9: 6: 4: 3: 2: 4622: 4611: 4608: 4606: 4603: 4602: 4600: 4590: 4585: 4580: 4578: 4568: 4566: 4556: 4554: 4549: 4544: 4543: 4540: 4529: 4520: 4513: 4506: 4499: 4493: 4487: 4481: 4474: 4467: 4460: 4453: 4446: 4439: 4432: 4426: 4416: 4414: 4404: 4402: 4392: 4390: 4387: 4386: 4383: 4368: 4367:Tidal locking 4365: 4363: 4360: 4358: 4355: 4353: 4350: 4348: 4347:Double planet 4345: 4344: 4342: 4338: 4332: 4329: 4325: 4322: 4320: 4317: 4316: 4315: 4312: 4310: 4307: 4305: 4302: 4300: 4299:Minor planets 4297: 4295: 4292: 4290: 4287: 4285: 4282: 4281: 4279: 4275: 4269: 4266: 4264: 4261: 4257: 4254: 4253: 4252: 4249: 4247: 4244: 4240: 4237: 4233: 4232:Merging stars 4230: 4229: 4228: 4225: 4223: 4220: 4218: 4215: 4213: 4210: 4208: 4205: 4204: 4203: 4200: 4198: 4195: 4193: 4190: 4188: 4185: 4183: 4180: 4178: 4175: 4173: 4170: 4168: 4165: 4163: 4160: 4158: 4155: 4153: 4150: 4148: 4145: 4143: 4140: 4138: 4135: 4133: 4130: 4128: 4125: 4123: 4120: 4116: 4113: 4111: 4108: 4107: 4106: 4103: 4101: 4098: 4096: 4093: 4091: 4088: 4086: 4083: 4081: 4078: 4076: 4073: 4071: 4068: 4066: 4063: 4061: 4058: 4054: 4051: 4050: 4049: 4046: 4044: 4041: 4039: 4036: 4035: 4033: 4031: 4025: 4019: 4016: 4014: 4011: 4009: 4006: 4004: 4001: 3999: 3996: 3994: 3991: 3989: 3986: 3982: 3979: 3978: 3977: 3974: 3972: 3969: 3967: 3964: 3960: 3957: 3956: 3955: 3952: 3950: 3947: 3945: 3942: 3938: 3935: 3933: 3930: 3928: 3925: 3924: 3923: 3920: 3916: 3913: 3911: 3908: 3907: 3906: 3903: 3899: 3896: 3894: 3891: 3889: 3886: 3885: 3884: 3881: 3879: 3876: 3875: 3873: 3870: 3865: 3861: 3855: 3852: 3850: 3847: 3845: 3842: 3840: 3837: 3835: 3834:Subsatellites 3832: 3830: 3827: 3825: 3822: 3820: 3817: 3815: 3812: 3810: 3807: 3805: 3802: 3801: 3799: 3797: 3794:Hypothetical 3791: 3788: 3779: 3776: 3772: 3769: 3767: 3764: 3762: 3759: 3757: 3754: 3750: 3747: 3745: 3742: 3741: 3740: 3737: 3736: 3735: 3732: 3728: 3725: 3723: 3720: 3719: 3718: 3715: 3711: 3708: 3706: 3703: 3701: 3698: 3696: 3693: 3691: 3688: 3686: 3683: 3681: 3678: 3676: 3673: 3671: 3668: 3667: 3666: 3663: 3661: 3660:Asteroid belt 3658: 3656: 3653: 3649: 3646: 3644: 3641: 3639: 3636: 3632: 3629: 3627: 3624: 3623: 3622: 3619: 3617: 3614: 3612: 3609: 3607: 3604: 3603: 3602: 3599: 3595: 3592: 3590: 3587: 3585: 3582: 3580: 3577: 3575: 3572: 3570: 3567: 3565: 3562: 3560: 3557: 3556: 3554: 3552: 3549: 3545: 3542: 3540: 3537: 3536: 3535: 3534:Minor planets 3532: 3530: 3527: 3525: 3522: 3520: 3517: 3516: 3514: 3512: 3502: 3496: 3493: 3491: 3488: 3486: 3483: 3481: 3478: 3476: 3473: 3471: 3468: 3465: 3461: 3458: 3456: 3453: 3452: 3450: 3448: 3444: 3436: 3433: 3432: 3431: 3428: 3424: 3421: 3420: 3419: 3416: 3412: 3409: 3408: 3407: 3404: 3400: 3397: 3396: 3395: 3392: 3388: 3385: 3383: 3380: 3379: 3378: 3375: 3371: 3368: 3366: 3363: 3361: 3358: 3356: 3353: 3351: 3348: 3347: 3346: 3343: 3339: 3336: 3335: 3334: 3331: 3327: 3324: 3322: 3319: 3317: 3314: 3312: 3309: 3308: 3307: 3304: 3300: 3297: 3295: 3292: 3290: 3287: 3285: 3282: 3280: 3277: 3275: 3272: 3271: 3270: 3267: 3263: 3260: 3258: 3255: 3253: 3250: 3248: 3245: 3243: 3240: 3238: 3235: 3233: 3230: 3228: 3225: 3223: 3220: 3218: 3215: 3214: 3213: 3210: 3206: 3203: 3201: 3198: 3196: 3193: 3191: 3188: 3186: 3183: 3182: 3181: 3178: 3174: 3171: 3169: 3166: 3165: 3164: 3161: 3157: 3154: 3152: 3149: 3148: 3146: 3145: 3143: 3141: 3137: 3129: 3126: 3124: 3121: 3119: 3116: 3114: 3111: 3109: 3106: 3104: 3101: 3099: 3096: 3094: 3091: 3089: 3086: 3085: 3084: 3081: 3075: 3072: 3070: 3067: 3066: 3065: 3062: 3058: 3055: 3053: 3050: 3049: 3048: 3045: 3044: 3043: 3040: 3036: 3033: 3031: 3028: 3026: 3023: 3021: 3018: 3017: 3016: 3013: 3012: 3010: 3008: 3003: 2999: 2996: 2995: 2990: 2984: 2983: 2979: 2977: 2976: 2972: 2970: 2969: 2965: 2963: 2962: 2958: 2956: 2955: 2951: 2949: 2948: 2944: 2942: 2941: 2937: 2935: 2934: 2930: 2928: 2925: 2923: 2920: 2918: 2915: 2913: 2910: 2908: 2907: 2903: 2901: 2898: 2896: 2893: 2891: 2888: 2886: 2883: 2881: 2878: 2877: 2832: 2828: 2821: 2816: 2814: 2809: 2807: 2802: 2801: 2798: 2786: 2783: 2781: 2778: 2776: 2773: 2772: 2770: 2766: 2760: 2757: 2755: 2752: 2750: 2747: 2745: 2742: 2740: 2737: 2735: 2732: 2730: 2727: 2725: 2722: 2720: 2717: 2716: 2714: 2712: 2708: 2696: 2693: 2691: 2688: 2686: 2683: 2681: 2678: 2677: 2676: 2673: 2671: 2668: 2664: 2661: 2659: 2656: 2655: 2654: 2653: 2651: 2649: 2645: 2639: 2636: 2634: 2631: 2629: 2626: 2624: 2621: 2619: 2618:Asteroid belt 2616: 2614: 2613:Aten asteroid 2611: 2609: 2606: 2605: 2603: 2601: 2597: 2591: 2588: 2586: 2583: 2581: 2578: 2576: 2573: 2571: 2568: 2567: 2564: 2561: 2559: 2558:Minor planets 2555: 2551: 2544: 2539: 2537: 2532: 2530: 2525: 2524: 2521: 2509: 2501: 2500: 2497: 2494: 2492: 2489: 2488: 2485: 2477: 2474: 2473: 2472: 2469: 2467: 2464: 2462: 2459: 2458: 2456: 2452: 2446: 2443: 2441: 2438: 2436: 2433: 2431: 2430:Minor planets 2428: 2426: 2423: 2422: 2420: 2418: 2414: 2408: 2405: 2403: 2400: 2398: 2395: 2393: 2390: 2389: 2387: 2385: 2381: 2365: 2362: 2360: 2357: 2355: 2352: 2350: 2347: 2345: 2342: 2341: 2340: 2337: 2332: 2329: 2326: 2324: 2321: 2320: 2319: 2316: 2315: 2309: 2306: 2303: 2300: 2297: 2295: 2292: 2290: 2287: 2285: 2282: 2280: 2277: 2275: 2272: 2270: 2267: 2266: 2265: 2262: 2257: 2254: 2251: 2248: 2246: 2243: 2241: 2238: 2237: 2236: 2233: 2232: 2230: 2228: 2224: 2216: 2213: 2211: 2208: 2206: 2203: 2201: 2198: 2196: 2193: 2191: 2188: 2186: 2183: 2182: 2181: 2180:small classes 2178: 2177: 2172: 2169: 2167: 2164: 2162: 2159: 2158: 2157: 2154: 2152: 2149: 2145: 2142: 2140: 2137: 2135: 2132: 2130: 2127: 2126: 2125: 2122: 2121: 2119: 2117: 2113: 2110: 2108: 2104: 2098: 2097: 2093: 2091: 2088: 2086: 2083: 2082: 2080: 2078: 2074: 2071: 2069: 2065: 2059: 2056: 2054: 2051: 2047: 2044: 2042: 2039: 2037: 2034: 2032: 2029: 2028: 2027: 2023: 2019: 2016: 2014: 2011: 2010: 2009: 2008:Asteroid belt 2006: 2002: 2001:Mars crossers 1999: 1998: 1996: 1992: 1989: 1987: 1984: 1982: 1979: 1977: 1974: 1972: 1969: 1968: 1967: 1964: 1960: 1957: 1955: 1952: 1950: 1947: 1946: 1944: 1940: 1937: 1935: 1932: 1930: 1927: 1925: 1922: 1920: 1919:Earth trojans 1917: 1915: 1912: 1911: 1910: 1907: 1906: 1904: 1902: 1898: 1892: 1889: 1887: 1884: 1882: 1881:Asteroid pair 1879: 1877: 1874: 1870: 1867: 1865: 1862: 1861: 1860: 1857: 1855: 1852: 1850: 1849:Earth-crosser 1847: 1845: 1842: 1840: 1837: 1835: 1832: 1828: 1825: 1824: 1823: 1820: 1818: 1815: 1814: 1812: 1808: 1804: 1797: 1792: 1790: 1785: 1783: 1778: 1777: 1774: 1763: 1759: 1755: 1751: 1747: 1743: 1738: 1733: 1729: 1725: 1718: 1709: 1704: 1700: 1696: 1691: 1686: 1682: 1678: 1674: 1663: 1655: 1654:New Scientist 1651: 1644: 1636: 1632: 1628: 1624: 1619: 1614: 1610: 1606: 1601: 1596: 1592: 1588: 1587: 1582: 1575: 1560: 1559: 1554: 1547: 1539: 1538: 1533: 1526: 1518: 1514: 1510: 1506: 1502: 1498: 1493: 1488: 1484: 1480: 1473: 1457: 1453: 1447: 1438: 1433: 1429: 1425: 1420: 1415: 1411: 1407: 1403: 1396: 1381: 1377: 1371: 1363: 1359: 1355: 1351: 1347: 1343: 1336: 1328: 1324: 1320: 1316: 1312: 1308: 1304: 1300: 1296: 1292: 1291: 1283: 1274: 1269: 1265: 1261: 1257: 1253: 1249: 1242: 1233: 1228: 1224: 1220: 1216: 1212: 1208: 1201: 1190: 1186: 1183:(in French). 1182: 1174: 1170: 1164: 1156: 1152: 1148: 1144: 1140: 1136: 1132: 1128: 1124: 1120: 1113: 1104: 1099: 1095: 1091: 1087: 1083: 1079: 1072: 1064: 1058: 1054: 1050: 1043: 1039: 1029: 1028:Tadpole orbit 1026: 1024: 1021: 1019: 1016: 1014: 1011: 1009: 1006: 1005: 999: 990: 979: 964: 953: 942: 915: 904: 893: 886: 879: 872: 865: 859: 852: 846: 839: 833: 828: 823: 816: 809: 802: 795: 788: 783: 770: 767: 765: 762: 753: 752: 745: 734: 725: 716: 715: 699: 698: 695: 692: 690: 687: 678: 677: 674: 671: 668: 659: 650: 649: 642: 631: 622: 613: 612: 605: 596: 587: 586: 570: 569: 565: 562: 560:Number in L5 559: 557:Number in L4 556: 553: 552: 541: 537: 533: 529: 520: 516: 502: 501:Uranus trojan 497: 488: 484: 470: 465: 456: 453: 449: 445: 442: 437: 426: 415: 400: 389: 378: 368: 364: 360: 359: 358: 356: 352: 348: 344: 340: 335: 333: 332:asteroid belt 329: 324: 322: 321:617 Patroclus 318: 306: 302: 298: 293: 291: 287: 283: 280: 276: 275:mathematician 259: 251: 243: 242: 238: 234: 230: 226: 225:asteroid belt 218: 210: 206: 201: 192: 190: 186: 182: 178: 174: 170: 166: 165:Saturn system 162: 157: 155: 151: 150:Earth trojans 147: 143: 139: 131: 123: 119: 114: 112: 108: 104: 99: 97: 93: 89: 82: 76: 72: 68: 64: 56: 53: 46: 39: 38:trojan points 34: 30: 19: 4605:Solar System 4523:Each arrow ( 4445:Local Bubble 4431:Solar System 4429: 4222:Planetesimal 4177:Kuiper cliff 3905:Space probes 3878:Colonization 3717:Kirkwood gap 3638:Saturn Moons 3600: 3551:Planetesimal 3015:Terrestrials 2980: 2973: 2966: 2959: 2952: 2945: 2938: 2931: 2904: 2827:Solar System 2785:Space debris 2496:Minor planet 2461:Asteroid Day 2407:Colonization 2338: 2179: 2094: 2058:Exoasteroids 2013:Kirkwood gap 1924:Mars trojans 1914:Venus trojan 1908: 1901:Distribution 1730:(1): 27–42. 1727: 1723: 1717: 1680: 1676: 1662: 1653: 1643: 1590: 1584: 1574: 1562:. Retrieved 1556: 1546: 1535: 1525: 1482: 1478: 1472: 1460:. Retrieved 1455: 1446: 1412:(1): 31–35. 1409: 1405: 1395: 1383:. Retrieved 1379: 1370: 1345: 1341: 1335: 1294: 1288: 1282: 1255: 1251: 1241: 1214: 1210: 1200: 1189:the original 1184: 1180: 1163: 1122: 1118: 1112: 1085: 1081: 1071: 1052: 1042: 1008:Earth trojan 988: 977: 962: 951: 940: 913: 902: 891: 884: 877: 870: 863: 857: 850: 844: 837: 831: 829: 821: 814: 807: 800: 793: 786: 784: 780: 469:Earth trojan 336: 325: 294: 272: 161:trojan moons 158: 154:Venus trojan 138:Mars trojans 115: 100: 94:or of large 66: 60: 37: 29: 4577:Outer space 4565:Spaceflight 4486:Local Sheet 4480:Local Group 4263:Rubble pile 4251:Roche limit 4246:Ring system 4197:Outer space 4172:Kuiper belt 4142:Hill sphere 4137:Hills cloud 4085:Debris disk 4080:Cosmic dust 3864:Exploration 3819:Planet Nine 3804:Fifth giant 3778:Hills cloud 3739:Kuiper belt 3710:exceptional 3626:Trojan camp 2775:Cosmic dust 2739:Long-period 2729:Halley-type 2685:Kuiper belt 2570:Designation 2476:occultation 2384:Exploration 2339:small types 1462:28 December 1404:. Letters. 799:> 10,000 367:5261 Eureka 365:are known: 217:Trojan camp 130:Trojan camp 69:is a small 4599:Categories 4505:Local Hole 4452:Gould Belt 4192:Oort cloud 4028:Formation, 4018:Deep space 3854:Vulcanoids 3771:Oort cloud 3695:first 1000 3631:Greek camp 3529:Meteoroids 3524:Damocloids 3470:Charikloan 2780:Meteoroids 2759:Sungrazing 2734:Hyperbolic 2690:Oort cloud 2633:Near-Earth 2425:Near-Earth 1966:Near-Earth 1949:Vulcanoids 1690:1701.05541 1600:2111.05058 1593:(2): L25. 1217:(8): 592. 1034:References 806:(in which 566:List (L5) 563:List (L4) 317:624 Hektor 301:Trojan War 279:astronomer 209:Greek camp 185:Polydeuces 148:, and two 122:Greek camp 107:barycenter 4466:Milky Way 4459:Orion Arm 4227:Formation 4212:Migration 4207:Disrupted 4075:Coatlicue 4043:Accretion 4030:evolution 3976:Asteroids 3888:astronomy 3883:Discovery 3744:Cubewanos 3665:Asteroids 3495:Quaoarian 3485:Neptunian 3475:Chironean 3460:Saturnian 3242:Enceladus 2670:Damocloid 1803:Asteroids 1737:1110.4810 1635:243860678 1627:2041-8205 1558:Space.com 1537:Space.com 1419:1303.0124 1327:205225571 777:Stability 63:astronomy 4519:Universe 4357:Moonlets 3937:programs 3910:timeline 3898:timeline 3829:Planet X 3824:Planet V 3761:Sednoids 3749:Plutinos 3722:Centaurs 3700:families 3435:Dysnomia 3423:Xiangliu 3418:Gonggong 3406:Makemake 3365:Kerberos 3252:Hyperion 3190:Callisto 3185:Ganymede 3118:Gonggong 3113:Makemake 2968:Gonggong 2961:Makemake 2754:Periodic 2680:Detached 2600:Asteroid 2508:Category 2107:Spectral 2053:Centaurs 1839:Tracking 1762:59474402 1517:18509704 1319:21796207 1171:(1772). 1155:35721399 1147:16778021 1002:See also 869:) < ( 792:> 100 754:Neptune 679:Jupiter 571:Mercury 235:and the 227:between 4589:Science 4539:Portals 4340:Related 4319:by size 4008:Neptune 3993:Jupiter 3944:Mercury 3869:outline 3814:Phaeton 3809:Nemesis 3796:objects 3648:Neptune 3621:Jupiter 3601:Trojans 3594:Neptune 3579:Jupiter 3559:Mercury 3490:Haumean 3480:Uranian 3462: ( 3382:Hiʻiaka 3316:Proteus 3306:Neptune 3294:Miranda 3284:Umbriel 3274:Titania 3262:all 146 3227:Iapetus 3180:Jupiter 3074:Neptune 3052:Jupiter 3020:Mercury 3002:Planets 2927:Neptune 2912:Jupiter 2885:Mercury 2719:Extinct 2658:Centaur 2454:Related 2402:Capture 2354:Ld-type 2318:X-group 2264:S-group 2235:C-group 2156:X-group 2124:C-group 2077:Orbital 1909:Trojans 1869:contact 1742:Bibcode 1695:Bibcode 1605:Bibcode 1564:27 July 1497:Bibcode 1424:Bibcode 1350:Bibcode 1299:Bibcode 1260:Bibcode 1219:Bibcode 1127:Bibcode 1119:Science 1090:Bibcode 996:⁠ 974:⁠ 970:⁠ 948:⁠ 937:⁠ 928:25+√621 925:⁠ 921:⁠ 899:⁠ 717:Uranus 700:Saturn 625:2010 TK 599:2013 ND 554:Planet 523:2013 ND 459:2010 TK 431:2011 UN 420:2011 SC 339:Neptune 233:Jupiter 173:Calypso 169:Telesto 92:planets 4514:  4507:  4500:  4475:  4468:  4461:  4454:  4447:  4440:  4433:  4362:Syzygy 4284:Comets 4217:System 4202:Planet 4095:EXCEDE 4003:Uranus 3998:Saturn 3988:Comets 3981:mining 3959:mining 3849:Vulcan 3690:active 3685:Hygiea 3680:Pallas 3643:Uranus 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Index

Trojan asteroid

L4
L5
Lagrange points
astronomy
celestial body
Lagrangian points
L4
L5
planets
moons
co-orbital object
barycenter
orbital period
orbit of Jupiter
Greek camp
Trojan camp
Mars trojans
Neptune trojans
Uranus trojans
Earth trojans
Venus trojan
trojan moons
Saturn system
Telesto
Calypso
Tethys
Helene
Polydeuces

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