624 Hektor

624 Hektor /ˈhɛktər/ is the largest Jupiter trojan and the namesake of the Hektor family, with a highly elongated shape equivalent in volume to a sphere of approximately 225 to 250 kilometers diameter. It was discovered on 10 February 1907, by astronomer August Kopff at Heidelberg Observatory in southwest Germany, and named after the Trojan prince Hector, from Greek mythology.[1][3] It has one small 12-kilometer sized satellite, Skamandrios, discovered in 2006.[7]

624 Hektor
624 Hektor and its moon Skamandrios
Discovery[1]
Discovered byA. Kopff
Discovery siteHeidelberg Obs.
Discovery date10 February 1907
Designations
(624) Hektor
Pronunciation/ˈhɛktər/[2]
Named after
Hector (Greek mythology)[3]
1907 XM; 1948 VD
Jupiter trojan[1][4] · Hektor[5]
(Greek camp)[6]
AdjectivesHektorean or Hektorian
(both /hɛkˈtɔːriən/)[2]
Orbital characteristics[4]
Epoch 23 March 2018 (JD 2458200.5)
Uncertainty parameter 0
Observation arc111.28 yr (40,646 d)
Aphelion5.3824 AU
Perihelion5.1319 AU
5.2571 AU
Eccentricity0.0238
12.05 yr (4,403 d)
136.09°
0° 4m 54.48s / day
Inclination18.166°
342.79°
185.22°
Known satellites1
Jupiter MOID0.2752 AU
TJupiter2.8990
Physical characteristics
Dimensions403 km × 201 km (derived)[7]
370 km × 195 km × 195 km[8]
Mean diameter
250±26 km[7]
(if bilobe: 256±12 km)[7]
225 km[4]
147±2 km[9]
227±15 km[10]
231±4 km[11]
Mass(7.9±1.4)×1018 kg[7]
(9.95±0.12)×1018 kg[10]
Mean density
1.0±0.3 g/cm3[7]
1.63±0.32 g/cm3[10]
2.43±0.35 g/cm3[12]
6.9205 hours (0.28835 d)[7]
0.025[4]
0.034±0.001[11]
0.107±0.011[9]
D (Tholen)[4]
13.79 to 15.26
7.20[9] · 7.3[4] · 7.49[11]
0.078" to 0.048"

    Description

    Hektor is a D-type asteroid, dark and reddish in colour. It lies in Jupiter's leading Lagrangian point, L4, called the Greek camp after one of the two sides in the legendary Trojan War. Hektor is named after the Trojan hero Hektor and is thus one of two trojan asteroids that is "misplaced" in the wrong camp (the other one being 617 Patroclus in the Trojan camp).

    Contact-binary hypothesis

    Modelled shape of 624 Hektor from its light curve. Note that Skamandrios is not part of this model.

    Hektor is one of the most elongated bodies of its size in the Solar System, being approximately 403 km in its longest dimension, but averaging only around 201 km in its other dimensions, with a total volume equivalent to an approx 250 km diameter sphere, and an estimated mass of 7.9×1018 kg (thus density of 1.0g/cm3). It is thought that Hektor might be a contact binary (two asteroids joined by gravitational attraction) like 216 Kleopatra, composed of two more rounded lobes of 220 and 183 km mean diameters.[7] Hubble Space Telescope observations of Hektor in 1993 did not show an obvious bilobate shape because of a limited angular resolution. On 17 July 2006, the Keck 10-meter-II-telescope and its laser guide star adaptive optics (AO) system indicated a bilobate shape for Hektor,[13] which was reinforced by later studies that, together with multiple historical lightcurves, suggest a rotation period of 6.9205 hours.[7]

    Hektor is, so far, one of only four known binary trojan asteroids in the L4 point (the others being 16974 Iphthime, 3548 Eurybates, and 15094 Polymele) and the first known trojan with a satellite companion. 617 Patroclus, another large trojan asteroid located in the L5 point, is composed of two almost equal-sized components.[13] There are now a further two known binary asteroids in the L5 point, (17365) 1978 VF11 and 29314 Eurydamas.[14]

    Satellite

    Skamandrios
    Discovery[7]
    Discovered byMarchis et al.
    Discovery date2006 July 16
    Designations
    Designation
    Hektor I
    Pronunciation/skəˈmændriəs/
    Named after
    Scamandrius
    S/2006 (624) 1
    AdjectivesSkamandrian
    Orbital characteristics[7]
    623.5±10 km
    Eccentricity0.31±0.03
    2.9651±0.0003 days
    Inclination50.1°±1.1° (to primary)
    166.2°±3.2° (in EQJ2000)
    170.7°±6.1° (in EQJ2000)
    113.4°±1.4° (in EQJ2000)
    Physical characteristics
    Mean diameter
    12±3 km (assuming composition of primary)

      A 10–15-km-diameter moon, named Skamandrios, was detected orbiting 624 Hektor in 2006 with a semi-major axis of 623.5 km and an orbital period of 2.9651 days (71.162 hours).[15][7] It was confirmed with Keck observations in November 2011,[16] and was then named on 12 March 2017.[17] No mass estimate was provided, but the equivalent volume suggests an approximate mass of 8.74×1014 kg if the two bodies are of the same density. Its orbit is highly inclined and eccentric, and it is likely that its rotation is chaotic. Marchis et al. (2014) speculate that it was ejected after a low-velocity collision produced the bilobed primary. The newly merged primary could have spun fast enough to be unstable and shed some mass.[7] The dynamics of Skamandrios can be modeled by the restricted four-body problem.[18]

      Studies

      624 Hektor was in a 2003 study of asteroids using the Hubble FGS.[19] Asteroids studied include 63 Ausonia, 15 Eunomia, 43 Ariadne, 44 Nysa, and 624 Hektor.[19] It has since been revisited several times, particularly as a test of the upgraded resolution of the Keck Observatory's LGS Adaptive Optics system which allowed Earth-based observation of binary asteroids for the first time.[13][7] The asteroid has also been imaged by the NEOWISE and AKARI all-sky studies, which reported highly divergent size estimates of 147.4[9] and 231.0 kilometers [11] respectively, although this mostly arises from large differences in estimated albedo (approximately 0.107 for NEOWISE, and a much lower 0.034 for AKARI) rather than its absolute magnitude being measured only briefly at opposing extremes of a widely varying cycle such as thought to account for the uncertainty over the size of 1173 Anchises (624 Hektor's own abs. mag. recorded as a relatively similar 7.20 and 7.49 by the two studies). It is, unusually, not included in the published IRAS results, and is therefore the largest Jupiter trojan to be omitted from that study.

      100+ largest Jupiter trojans
      Largest Jupiter Trojans by survey(A)
      (mean-diameter in kilometers; YoD: Year of Discovery)
      Designation H WISE IRAS Akari Ln RP V–I YoD Ref
      624 Hektor7.2225233230.99L46.920.9301907list
      617 Patroclus8.19140.362140.92140.85L5102.800.8301906list
      911 Agamemnon7.89131.038166.66185.30L46.590.9801919list
      588 Achilles8.67130.099135.47133.22L47.310.9401906list
      3451 Mentor8.4126.288116.30117.91L57.700.7701984list
      3317 Paris8.3118.790116.26120.45L57.090.9501984list
      1867 Deiphobus8.3118.220122.67131.31L558.660.9301971list
      1172 Äneas8.33118.020142.82148.66L58.710.9501930list
      1437 Diomedes8.3117.786164.31172.60L424.490.8101937list
      1143 Odysseus7.93114.624125.64130.81L410.110.8601930list
      2241 Alcathous8.64113.682114.63118.87L57.690.9401979list
      659 Nestor8.99112.320108.87107.06L415.980.7901908list
      3793 Leonteus8.7112.04686.2687.58L45.620.7801985list
      3063 Makhaon8.4111.655116.14114.34L48.640.8301983list
      1583 Antilochus8.6108.842101.62111.69L431.540.9501950list
      884 Priamus8.81101.09396.29119.99L56.860.9001917list
      1208 Troilus8.99100.477103.34111.36L556.170.7401931list
      1173 Anchises8.8999.549126.27120.49L511.600.7801930list
      2207 Antenor8.8997.65885.1191.32L57.970.9501977list
      2363 Cebriones9.1195.97681.8484.61L520.050.9101977list
      4063 Euforbo8.795.619102.46106.38L48.850.9501989list
      2357 Phereclos8.9494.62594.9098.45L514.390.9601981list
      4709 Ennomos8.591.43380.8580.03L512.280.6901988list
      2797 Teucer8.789.430111.14113.99L410.150.9201981list
      2920 Automedon8.888.574111.01113.11L410.210.9501981list
      15436 Dexius9.187.64685.7178.63L48.970.8701998list
      3596 Meriones9.287.38075.0973.28L412.960.8301985list
      2893 Peiroos9.2386.88487.4686.76L58.960.9501975list
      4086 Podalirius9.185.49586.8985.98L410.430.8701985list
      4060 Deipylos9.384.04379.2186.79L49.300.7601987list
      1404 Ajax9.383.99081.6996.34L429.380.9601936list
      4348 Poulydamas9.582.03270.0887.51L59.910.8401988list
      5144 Achates9.080.95891.9189.85L55.960.9201991list
      4833 Meges8.980.16587.3389.39L414.250.9401989list
      2223 Sarpedon9.4177.48094.63108.21L522.740.8801977list
      4489 Dracius9.076.59592.9395.02L412.580.9501988list
      2260 Neoptolemus9.3176.43571.6581.28L48.180.9501975list
      5254 Ulysses9.276.14778.3480.00L428.720.9701986list
      3708 Socus9.375.66179.5976.75L56.550.9801974list
      2674 Pandarus9.174.26798.10101.72L58.481.0001982list
      3564 Talthybius9.473.73068.9274.11L440.590.9001985list
      4834 Thoas9.172.33186.8296.21L418.190.9501989list
      7641 Cteatus9.471.83968.9775.28L427.770.9801986list
      3540 Protesilaos9.370.22576.8487.66L48.950.9401973list
      11395 Iphinous9.868.97764.7167.78L417.381998list
      4035 Thestor9.668.73368.2366.99L413.470.9701986list
      5264 Telephus9.468.47273.2681.38L49.530.9701991list
      1868 Thersites9.568.16370.0878.89L410.480.9601960list
      9799 Thronium9.668.03364.8772.42L421.520.9101996list
      4068 Menestheus9.567.62562.3768.46L414.400.9501973list
      23135 Pheidas9.966.23058.2968.50L48.690.8602000list
      2456 Palamedes9.365.91691.6699.60L47.240.9201966list
      3709 Polypoites9.165.29799.0985.23L410.041.0001985list
      1749 Telamon9.564.89881.0669.14L416.980.9701949list
      3548 Eurybates9.663.88572.1468.40L48.710.7301973list
      4543 Phoinix9.763.83662.7969.54L438.871.2001989list
      12444 Prothoon9.863.83564.3162.41L515.821996list
      4836 Medon9.563.27767.7378.70L49.820.9201989list
      16070 Charops9.763.19164.1368.98L520.240.9601999list
      15440 Eioneus9.662.51966.4871.88L421.430.9701998list
      4715 Medesicaste9.762.09763.9165.93L58.810.8501989list
      34746 Thoon9.861.68460.5163.63L519.630.9502001list
      38050 Bias9.861.60361.0450.44L418.850.9901998list
      5130 Ilioneus9.760.71159.4052.49L514.770.9601989list
      5027 Androgeos9.659.78657.86n.a.L411.380.9101988list
      6090 Aulis9.459.56874.5381.92L418.480.9801989list
      5648 Axius9.759.29563.91n.a.L537.560.9001990list
      7119 Hiera9.759.15076.4077.29L44000.9501989list
      4805 Asteropaios10.057.64753.1643.44L512.371990list
      16974 Iphthime9.857.34155.4357.15L478.90.9601998list
      4867 Polites9.857.25158.2964.29L511.241.0101989list
      2895 Memnon10.056.70655.67n.a.L57.500.7101981list
      4708 Polydoros9.954.96455.67n.a.L57.520.9601988list
      (21601) 1998 XO8910.054.90955.6756.08L412.650.9701998list
      12929 Periboea9.954.07761.0455.34L59.270.8801999list
      17492 Hippasos10.053.97555.67n.a.L517.751991list
      5652 Amphimachus10.153.92153.1652.48L48.371.0501992list
      2759 Idomeneus9.953.67661.0152.55L432.380.9101980list
      5258 Rhoeo10.253.27550.77n.a.L419.851.0101989list
      (12126) 1999 RM1110.153.202n.a.n.a.L5n.a. ?1999list
      (15502) 1999 NV2710.053.10055.6750.86L515.130.8751999list
      4754 Panthoos10.053.02553.1556.96L527.681977list
      4832 Palinurus10.052.05853.16n.a.L55.321.0001988list
      5126 Achaemenides10.551.92244.2248.57L453.021989list
      3240 Laocoon10.251.69550.77n.a.L511.310.8801978list
      4902 Thessandrus9.851.26361.0471.79L47380.9601989list
      11552 Boucolion10.151.13653.1653.91L532.441993list
      (20729) 1999 XS14310.450.96146.30n.a.L45.721.0001999list
      6545 Leitus10.150.95153.16n.a.L416.260.9101986list
      4792 Lykaon10.150.87053.16n.a.L540.090.9601988list
      21900 Orus10.050.81055.6753.87L413.450.9501999list
      1873 Agenor10.150.79953.7654.38L520.601971list
      5028 Halaesus10.250.77050.77n.a.L424.940.9001988list
      2146 Stentor9.950.75558.29n.a.L416.401976list
      4722 Agelaos10.050.37853.1659.47L518.440.9101977list
      5284 Orsilocus10.150.15953.16n.a.L410.310.9701989list
      11509 Thersilochos10.149.96053.1656.23L517.371990list
      5285 Krethon10.149.60658.5352.61L412.041.0901989list
      4791 Iphidamas10.149.52857.8559.96L59.701.0301988list
      9023 Mnesthus10.149.15150.7760.80L530.661988list
      5283 Pyrrhus9.748.35664.5869.93L47.320.9501989list
      4946 Askalaphus10.248.20952.7166.10L422.730.9401988list
      (22149) 2000 WD4910.248.19050.7750.37L47.841.0902000list
      (32496) 2000 WX18210.248.01750.7751.63L523.340.9502000list
      5120 Bitias10.247.98750.77n.a.L515.210.7801988list
      12714 Alkimos10.147.81961.0454.62L428.481991list
      7352 Hypsenor9.947.73155.67 47.07L56480.8501994list
      1870 Glaukos10.647.64942.23n.a.L55.991971list
      4138 Kalchas10.146.46253.1661.04L429.20.8101973list
      (23958) 1998 VD3010.246.00150.7747.91L45620.9901998list
      4828 Misenus10.445.95446.30 43.22L512.870.9201988list
      4057 Demophon10.145.68353.16n.a.L429.821.0601985list
      4501 Eurypylos10.445.52446.30n.a.L46.051989list
      4007 Euryalos10.345.51548.4853.89L46.391973list
      5259 Epeigeus10.344.74142.5944.42L418.421989list
      30705 Idaios10.444.54646.30n.a.L515.741977list
      16560 Daitor10.743.86151.4243.38L51991list
      (15977) 1998 MA1110.443.53046.3051.53L52500.9061998list
      7543 Prylis10.642.89342.23n.a.L417.801973list
      4827 Dares10.542.77044.22n.a.L519.001988list
      1647 Menelaus10.542.71644.22n.a.L417.740.8661957list
      (A) Used sources: WISE/NEOWISE catalog (NEOWISE_DIAM_V1 PDS, Grav, 2012); IRAS data (SIMPS v.6 catalog); and Akari catalog (Usui, 2011); RP: rotation period and V–I (color index) taken from the LCDB

      Note: missing data was completed with figures from the JPL SBDB (query) and from the LCDB (query form) for the WISE/NEOWISE and SIMPS catalogs, respectively. These figures are given in italics. Also, listing is incomplete above #100.

      References

      1. "624 Hektor (1907 XM)". Minor Planet Center. Retrieved 14 June 2018.
      2. "Hector". Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)
      3. Schmadel, Lutz D. (2007). "(624) Hektor". Dictionary of Minor Planet Names – (624) Hektor. Springer Berlin Heidelberg. p. 63. doi:10.1007/978-3-540-29925-7_625. ISBN 978-3-540-00238-3.
      4. "JPL Small-Body Database Browser: 624 Hektor (1907 XM)" (2018-05-25 last obs.). Jet Propulsion Laboratory. Retrieved 14 June 2018.
      5. "Asteroid 624 Hektor – Nesvorny HCM Asteroid Families V3.0". Small Bodies Data Ferret. Retrieved 24 October 2019.
      6. "List of Jupiter Trojans". Minor Planet Center. 4 October 2017. Retrieved 19 October 2017.
      7. Marchis, F.; Durech, J.; Castillo-Rogez, J.; Vachier, F.; Cuk, M.; Berthier, J.; et al. (March 2014). "The Puzzling Mutual Orbit of the Binary Trojan Asteroid (624) Hektor". The Astrophysical Journal Letters. 783 (2): 6. arXiv:1402.7336. Bibcode:2014ApJ...783L..37M. doi:10.1088/2041-8205/783/2/L37. S2CID 19868908.
      8. Storrs, Alex; Weiss, Ben; Zellner, Ben; Burleson, Win; Sichitiu, Rukmini; Wells, Eddie; et al. (February 1999). "Imaging Observations of Asteroids with Hubble Space Telescope". Icarus. 137 (2): 260–268. Bibcode:1999Icar..137..260S. doi:10.1006/icar.1999.6047. S2CID 274199.
      9. Grav, T.; Mainzer, A. K.; Bauer, J. M.; Masiero, J. R.; Nugent, C. R. (November 2012). "WISE/NEOWISE Observations of the Jovian Trojan Population: Taxonomy". The Astrophysical Journal. 759 (1): 10. arXiv:1209.1549. Bibcode:2012ApJ...759...49G. doi:10.1088/0004-637X/759/1/49. S2CID 119101711. (online catalog)
      10. Carry, B. (December 2012), "Density of asteroids", Planetary and Space Science, 73 (1): 98–118, arXiv:1203.4336, Bibcode:2012P&SS...73...98C, doi:10.1016/j.pss.2012.03.009, S2CID 119226456 See Table 1.
      11. Usui, Fumihiko; Kuroda, Daisuke; Müller, Thomas G.; Hasegawa, Sunao; Ishiguro, Masateru; Ootsubo, Takafumi; et al. (October 2011). "Asteroid Catalog Using Akari: AKARI/IRC Mid-Infrared Asteroid Survey". Publications of the Astronomical Society of Japan. 63 (5): 1117–1138. Bibcode:2011PASJ...63.1117U. doi:10.1093/pasj/63.5.1117. (online, AcuA catalog p. 153)
      12. Descamps, Pascal (January 2015). "Dumb-bell-shaped equilibrium figures for fiducial contact-binary asteroids and EKBOs". Icarus. 245: 64–79. arXiv:1410.7962. Bibcode:2015Icar..245...64D. doi:10.1016/j.icarus.2014.08.002. S2CID 119272485.
      13. Franck Marchis (November 2005). "Searching and Characterizing Multiple Trojan Asteroids with LGS AO Systems" (PDF) (PDF). Archived from the original (PDF) on 28 July 2020. Retrieved 14 June 2018.
      14. "Johnson's Archive - asteroids with satellites". Retrieved 25 October 2020.
      15. "IAUC 8732: S/2006 (624) 1 (Satellite Discovery)". Central Bureau for Astronomical Telegrams. International Astronomical Union. 21 July 2006. Retrieved 14 June 2018.
      16. @AllPlanets (11 November 2011). "Dome closed, Keck telescope is..." (Tweet) via Twitter.
      17. "M.P.C. 103967" (PDF). Minor Planet Circular. Minor Planet Center. 12 March 2017. Retrieved 15 October 2020.
      18. Burgos-García, Jaime; Celletti, Alessandra; Gales, Catalin; Gidea, Marian; Lam, Wai-Ting (16 July 2020). "Hill Four-Body Problem with Oblate Bodies: An Application to the Sun–Jupiter–Hektor–Skamandrios System". Journal of Nonlinear Science. Springer Science and Business Media LLC. 30 (6): 2925–2970. Bibcode:2020JNS....30.2925B. doi:10.1007/s00332-020-09640-x. ISSN 0938-8974. S2CID 225526961.
      19. Tanga, P.; Hestroffer, D.; Cellino, A.; Lattanzi, M.; Di Martino, M.; Zappalà, V. (April 2003). "Asteroid observations with the Hubble Space Telescope. II. Duplicity search and size measurements for 6 asteroids" (PDF). Astronomy and Astrophysics. 401 (2): 733–741. Bibcode:2003A&A...401..733T. doi:10.1051/0004-6361:20030032. Retrieved 14 June 2018.

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