1647 Menelaus

1647 Menelaus /mɛnəˈləs/ is a mid-sized Jupiter trojan from the Greek camp, approximately 42 kilometers (26 miles) in diameter. It was discovered on 23 June 1957 by American astronomer Seth Nicholson at the Palomar Observatory in California, and later named after the Spartan King Menelaus from Greek mythology.[1][3] The dark asteroid has a rotation period of 17.7 hours.[9] It is the principal body of the proposed Menelaus cluster, which encompasses several, mostly tentative Jovian asteroid families.

1647 Menelaus
Discovery[1]
Discovered byS. B. Nicholson
Discovery sitePalomar Obs.
Discovery date23 June 1957
Designations
(1647) Menelaus
Pronunciation/mɛnəˈləs/[2]
Named after
Menelaus[3]
(Greek mythology)
1957 MK
Jupiter trojan[1][4]
Greek[5] · background[6]
Orbital characteristics[4]
Epoch 23 March 2018 (JD 2458200.5)
Uncertainty parameter 0
Observation arc65.57 yr (23,949 d)
Aphelion5.3255 AU
Perihelion5.1006 AU
5.2130 AU
Eccentricity0.0216
11.90 yr (4,347 d)
101.16°
0° 4m 58.08s / day
Inclination5.6507°
240.32°
298.95°
Jupiter MOID0.1563 AU
TJupiter2.9900
Physical characteristics
Mean diameter
42.72±0.517 km[7]
17.74±0.01 h[8]
0.056±0.009[7]
C(assumed)[9]
V–R = 0.428±0.043[10]
V–I = 0.866±0.043[10]
10.5[1][4][9]

    Orbit and classification

    Menelaus is a dark Jovian asteroid in a 1:1 orbital resonance with Jupiter. It is located in the leading Greek camp at the Gas Giant's L4 Lagrangian point, 60° ahead on its orbit (see Trojans in astronomy). Since the discovery of the first Jupiter trojan, 588 Achilles, by astronomer Max Wolf in 1906, more than 7000 Jovian asteroids have already been discovered.[5]

    It orbits the Sun at a distance of 5.1–5.3 AU once every 11 years and 11 months (4,347 days; semi-major axis of 5.21 AU). Its orbit has an eccentricity of 0.02 and an inclination of 6° with respect to the ecliptic.[4] Menelaus was first imaged at Palomar in November 1951. This precovery extends the body's observation arc by more than 5 years prior to its official discovery observation.[1]

    Menelaus cluster

    In 1993, Andrea Milani suggested that Menelaus might be the parent body of an asteroid family based on a modified HCM-analysis.[11]:78 The finding was also mentioned by David Jewitt in 2004,[12]:12 who noted that the Menelaus family is the largest proposed dynamical family to exist among the Jupiter trojans, despite having only 8 members.[lower-alpha 1]

    In 2008, Fernando Roig and Ricardo Gil-Hutton described this particular aggregation of Jupiter trojans as the "Menelaus clan", which, similar to the Flora family in the inner asteroid belt, is composed of several families (or subfamilies).[13]:9 In this publication, the Menelaus clan encompasses a dozen clusters, if the separation criteria used in the HCM analysis are sufficiently relaxed. The principal bodies of these proposed family-like clusters include: 1647 Menelaus, 3548 Eurybates, 1749 Telamon, 12973 Melanthios, 13062 Podarkes, 5436 Eumelos, 2148 Epeios, 4007 Euryalos, 4138 Kalchas, 3063 Makhaon and others.[13]:10

    With the exception of the Eurybates family, which was studies in more detail by Jakub Rozehnal and Miroslav Brož in 2011 (also see 3548 Eurybates § Eurybates family), all other proposed families with their principal bodies in the Menelaus clan, including Menelaus itself,[6] are tentative and not listed neither on the Asteroids—Dynamic Site (Milani and Knežević), nor included in the robust HCM-analysis by Nesvorný (also see Asteroid family § All families).[14]:23 Instead, these bodies are considered non-family asteroids of the Jovian background population.

    Naming

    This minor planet was named after the Greek mythological figure, Menelaus, husband of Helen of Troy, brother of Agamemnon, and king and leader of the Spartan contingent of the Greek army during the Trojan War. The discoverer followed the convention to name bodies located in the camp to the east of Jupiter after famous Greek heroes.

    The Dictionary of Minor Planet Names also mentions that the lunar crater Menelaus was named after the Greek hero.[3] However, based on the official International Astronomical Union–WGPSN nomenclature, it is named after Greek geometer and astronomer Menelaus of Alexandria (70–140).[15] The official naming citation was published by the Minor Planet Center in June 1960 (M.P.C. 2019).[16]

    Physical characteristics

    Menelaus is an assumed C-type, while most larger Jupiter trojans are D-type asteroids. It has a V–I color index of 0.866.[9][10]

    Rotation period

    The Palomar Transient Factory in California obtained a rotational lightcurve of Menelaus from photometric observation in the R-band in October 2010. It gave a rotation period of 17.7390 hours with a brightness variation of 0.32 magnitude in the R-band (U=2).[9][17] In February 2014, a refined period of 17.74±0.01 hours with an amplitude of 0.15 magnitude was determined by American astronomer Robert D. Stephens at the Center for Solar System Studies (U=3-).[8][lower-alpha 2]

    Diameter and albedo

    According to the survey carried out by NASA's Wide-field Infrared Survey Explorer with its subsequent NEOWISE mission, Menelaus measures 42.72 kilometers in diameter and its surface has an albedo of 0.056.[7] The Collaborative Asteroid Lightcurve Link assumes a standard albedo for carbonaceous asteroids of 0.057 and calculates a diameter of 44.22 kilometers using an absolute magnitude of 10.5.[9]

    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) 1998 VU309.187.64685.7178.63L48.970.8701998list
    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) 1988 AK9.076.59592.9395.02L412.580.9501988list
    2260 Neoptolemus9.3176.43571.6581.28L48.180.9501975list
    5254 Ulysses9.276.14778.3480.00L428.720.9701986list
    (3708) 1974 FV19.375.66179.5976.75L56.550.9801974list
    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) 1986 TT69.471.83968.9775.28L427.770.9801986list
    3540 Protesilaos9.370.22576.8487.66L48.950.9401973list
    (11395) 1998 XN779.868.97764.7167.78L417.381998list
    (4035) 1986 WD9.668.73368.2366.99L413.470.9701986list
    5264 Telephus9.468.47273.2681.38L49.530.9701991list
    1868 Thersites9.568.16370.0878.89L410.480.9601960list
    (9799) 1996 RJ9.668.03364.8772.42L421.520.9101996list
    4068 Menestheus9.567.62562.3768.46L414.400.9501973list
    (23135) 2000 AN1469.966.23058.2968.50L48.690.8602000list
    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) 1999 RB1019.763.19164.1368.98L520.240.9601999list
    (15440) 1998 WX49.662.51966.4871.88L421.430.9701998list
    (4715) 1989 TS19.762.09763.9165.93L58.810.8501989list
    (34746) 2001 QE919.861.68460.5163.63L519.630.9502001list
    (38050) 1998 VR389.861.60361.0450.44L418.850.9901998list
    5130 Ilioneus9.760.71159.4052.49L514.770.9601989list
    5027 Androgeos9.659.78657.86n.a.L411.380.9101988list
    (6090) 1989 DJ9.459.56874.5381.92L418.480.9801989list
    (5648) 1990 VU19.759.29563.91n.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) 1999 TZ19.954.07761.0455.34L59.270.8801999list
    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) 1989 AU110.253.27550.77n.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) 1986 TR610.150.95153.16n.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) 1994 CO9.947.73155.67 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.

    Notes

    1. Members of the Menelaus cluster identified by Milani in 1993 are 1749 Telamon, 3548 Eurybates, (6053) 1993 BW3, 6076 Plavec, (6002) 1988 RO, 6051 Anaximenes and 6006 Anaximandros, some of which are main-belt or Amor asteroids (Milani 1993, p. 94). Besides the Menelaus family, Milani found four other potential families in the Greek camp, clustered around the Jovian asteroids 1437 Diomedes, 2456 Palamedes, 2797 Teucer and (4035) 1986 WD, as well as the asteroid pair 1583 Antilochus3801 Thrasymedes.
    2. Lightcurve plots of (1647) Menelaus from Jan–Feb 2014 by Robert Stephens at the Center for Solar System Studies (U81). Quality code is 3- (lightcurve rating at CS3). Summary figures at the LCDB and CS3.

    References

    1. "1647 Menelaus (1957 MK)". Minor Planet Center. Retrieved 22 June 2018.
    2. Noah Webster (1884) A Practical Dictionary of the English Language
    3. Schmadel, Lutz D. (2007). "(1647) Menelaus". Dictionary of Minor Planet Names. Springer Berlin Heidelberg. p. 131. doi:10.1007/978-3-540-29925-7_1648. ISBN 978-3-540-00238-3.
    4. "JPL Small-Body Database Browser: 1647 Menelaus (1957 MK)" (2017-06-03 last obs.). Jet Propulsion Laboratory. Retrieved 22 June 2018.
    5. "List of Jupiter Trojans". Minor Planet Center. 1 June 2018. Retrieved 22 June 2018.
    6. "Asteroid (1647) Menelaus – Proper Elements". AstDyS-2, Asteroids – Dynamic Site. Retrieved 22 June 2018.
    7. 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. Retrieved 22 June 2018. (Grav (2012) Grav (2011))
    8. Stephens, Robert D.; Coley, Daniel R.; Warner, Brian D.; French, Linda, M. (October 2016). "Lightcurves of Jovian Trojan Asteroids from the Center for Solar System Studies: L4 Greek Camp and Spies". The Minor Planet Bulletin. 43 (4): 323–331. Bibcode:2016MPBu...43..323S. ISSN 1052-8091. Retrieved 22 June 2018.
    9. "LCDB Data for (1647) Menelaus". Asteroid Lightcurve Database (LCDB). Retrieved 27 December 2016.
    10. Hainaut, O. R.; Boehnhardt, H.; Protopapa, S. (October 2012). "Colours of minor bodies in the outer solar system. II. A statistical analysis revisited". Astronomy and Astrophysics. 546: 20. arXiv:1209.1896. Bibcode:2012A&A...546A.115H. doi:10.1051/0004-6361/201219566.
    11. Milani, Andrea (October 1993). "The Trojan asteroid belt: Proper elements, stability, chaos and families". Celestial Mechanics and Dynamical Astronomy. 57 (1–2): 59–94. Bibcode:1993CeMDA..57...59M. doi:10.1007/BF00692462. ISSN 0923-2958. Retrieved 13 April 2017.
    12. Jewitt, David C.; Sheppard, Scott; Porco, Carolyn (2004). "Jupiter's Outer Satellites and Trojans – 12.4.2 Families" (PDF). In Bagenal, F.; Dowling, T.E.; McKinnon, W.B. (eds.). Jupiter: The planet, Satellites and Magnetosphere. Cambridge University Press. p. 12. Retrieved 13 April 2017.
    13. Roig, F.; Ribeiro, A. O.; Gil-Hutton, R. (June 2008). "Taxonomy of asteroid families among the Jupiter Trojans: comparison between spectroscopic data and the Sloan Digital Sky Survey colors". Astronomy and Astrophysics. 483 (3): 911–931. arXiv:0712.0046. Bibcode:2008A&A...483..911R. doi:10.1051/0004-6361:20079177.
    14. Nesvorný, D.; Broz, M.; Carruba, V. (December 2014). Identification and Dynamical Properties of Asteroid Families. Asteroids IV. pp. 297–321. arXiv:1502.01628. Bibcode:2015aste.book..297N. doi:10.2458/azu_uapress_9780816532131-ch016. ISBN 9780816532131.
    15. "Gazetteer of Planetary Nomenclature – Planetary Names: Crater, craters: Menelaus on Moon". International Astronomical Union (IAU) Working Group for Planetary System Nomenclature (WGPSN). Retrieved 27 December 2016.
    16. Schmadel, Lutz D. "Appendix – Publication Dates of the MPCs". Dictionary of Minor Planet Names – Addendum to Fifth Edition (2006–2008). Springer Berlin Heidelberg. p. 221. doi:10.1007/978-3-642-01965-4. ISBN 978-3-642-01964-7.
    17. Waszczak, Adam; Chang, Chan-Kao; Ofek, Eran O.; Laher, Russ; Masci, Frank; Levitan, David; et al. (September 2015). "Asteroid Light Curves from the Palomar Transient Factory Survey: Rotation Periods and Phase Functions from Sparse Photometry". The Astronomical Journal. 150 (3): 35. arXiv:1504.04041. Bibcode:2015AJ....150...75W. doi:10.1088/0004-6256/150/3/75.

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