588 Achilles

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588 Achilles
Modelled shape of 588 Achilles from its light curve.png
Modelled shape of Achilles from its light curve
Discovery [1]
Discovered by M. F. Wolf
Discovery site Heidelberg Obs.
Discovery date22 February 1906
Designations
(588) Achilles
Pronunciation /əˈkɪlz/
Named after
Achilles (Greek mythology) [2]
1906 TG
Jupiter trojan [1] [3]
Greek [4]  · background [5]
Adjectives Achillean /ˌækɪˈlən,əˈkɪliən/ [6]
Orbital characteristics [3]
Epoch 23 March 2018 (JD 2458200.5)
Uncertainty parameter 0
Observation arc 112.25 yr (41,000 d)
Aphelion 5.9714 AU
Perihelion 4.4467 AU
5.2091 AU
Eccentricity 0.1463
11.89 yr (4,343 d)
205.11°
0° 4m 58.44s / day
Inclination 10.318°
316.54°
133.50°
Jupiter  MOID 0.5704 AU
TJupiter 2.9460
Physical characteristics
Mean diameter
130.10±0.55 km [7]
133.22±3.33 km [8]
135.47±4.1  km [9]
7.306±0.002  h [10] [11]
0.0328±0.002 [9]
0.035±0.002 [8]
0.043±0.006 [7]
Tholen = DU [3] [12]
B–V = 0.755 [3]
U–B = 0.216 [3]
V–I = 0.940±0.019 [12]
8.47 [7]
8.67 [1] [3] [8] [9]

    Achilles (minor planet designation: 588 Achilles) is a large Jupiter trojan asteroid of the Greek camp. Achilles was the first Jupiter trojan to be discovered, and was discovered by Max Wolf at the Heidelberg Observatory in 1906. Wolf named the minor planet after the legendary hero Achilles from Greek mythology. [1] [2] The dark D-type asteroid measures approximately 133 kilometers (83 miles) in diameter which makes it one of the 10 largest Jupiter trojans. It has a rotation period of 7.3 hours and possibly a spherical shape. [12]

    Contents

    Discovery

    Achilles was discovered on 22 February 1906, by the German astronomer Max Wolf at the Heidelberg-Königstuhl State Observatory in southern Germany. It was the first discovery of a Jupiter trojan, although (12126) 1999 RM11 had been observed as A904 RD two years previously. This body, however, remained unconfirmed as the observation period was not long enough to calculate an orbit. August Kopff, a colleague of Wolf at Heidelberg, then discovered 617 Patroclus eight months after Achilles, and, in early 1907, he discovered the largest of all Jupiter trojans, 624 Hektor. [13]

    Orbit and classification

    Achilles orbits the Sun at a distance of 4.4–6.0  AU in the L4 Lagrangian point of the SunJupiter System once every 11 years and 11 months (4,343 days; semi-major axis of 5.21 AU). Its orbit shows an eccentricity of 0.15 and an inclination of 10 degrees from the plane of the ecliptic. [3]

    Achilles is the first known example of the stable solution of the three-body problem worked out by French mathematician Joseph Lagrange in 1772, after whom the minor planet 1006 Lagrangea is named. After the discovery of other asteroids with similar orbital characteristics, which were also named after heroes from the Trojan War (see below), the term "Trojan asteroids" or "Jupiter trojans" became commonly used. [2] In addition, a rule was established that the L4 point was the "Greek camp", whereas the L5 point was the "Trojan camp", though not before each camp had acquired a "spy" (Hektor in the Greek camp and Patroclus in the Trojan camp).

    Physical characteristics

    The largest Jupiter trojans
    TrojanDiameter (km)
    624 Hektor 225
    617 Patroclus 140
    911 Agamemnon 131
    588 Achilles 130
    3451 Mentor 126
    3317 Paris 119
    1867 Deiphobus 118
    1172 Äneas 118
    1437 Diomedes 118
    1143 Odysseus 115
    Source: JPL Small-Body Database, NEOWISE data

    Spectral type

    In the Tholen taxonomic scheme, Achilles is classified as a D-type asteroid with an unusual spectrum (DU). [3] Its V–I color index of 0.94 is typical for most larger Jupiter trojans (see table below).

    Photometry

    Achilles's rotation period of 7.3 hours is somewhat shorter than that of most other large Jupiter trojans but close to that of 911 Agamemnon, 3451 Mentor and 3317 Paris, which are similar in size (see table below). Its low brightness amplitude is indicative of a rather spherical shape. [12] From July 2007 until September 2008, coordinated photometric observations were carried out by astronomers at Simeiz (Crimea), Rozhen (Bulgaria), Maidanak (Uzbekistan) and Kharkiv (Ukraine) observatories. [10] [14] Analysis of the obtained lightcurves determined a period of 7.306±0.002 hours with a brightness amplitude of 0.02–0.11 magnitude ( U=3/3/3/3 ). [12] Alternative period determinations by Cláudia Angeli (7.0 h), Robert Stephens (7.312 h), Stefano Mottola (7.32 h) and Vincenzo Zappalà (12 h) are mostly in good agreement ( U=1/3-/3/1 ). [12] [15] [14] [16] [17]

    Diameter and albedo

    According to the surveys carried out by the Infrared Astronomical Satellite, IRAS, the Japanese Akari satellite, and the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, the body's surface has a very low albedo in the range of 0.0328 to 0.043, making its absolute magnitude of approximately 8.57 correspond to a diameter of 130.1 to 135.5 kilometers. [9] [8] [7]

    Achilles is the 6th largest Jupiter trojan according to IRAS and Akari, and the 4th largest based on NEOWISE data:

    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 YoDRef
    624 Hektor 7.2225233230.99L46.920.9301907 list
    617 Patroclus 8.19140.362140.92140.85L5102.800.8301906 list
    911 Agamemnon 7.89131.038166.66185.30L46.590.9801919 list
    588 Achilles 8.67130.099135.47133.22L47.310.9401906 list
    3451 Mentor 8.4126.288116.30117.91L57.700.7701984 list
    3317 Paris 8.3118.790116.26120.45L57.090.9501984 list
    1867 Deiphobus 8.3118.220122.67131.31L558.660.9301971 list
    1172 Äneas 8.33118.020142.82148.66L58.710.9501930 list
    1437 Diomedes 8.3117.786164.31172.60L424.490.8101937 list
    1143 Odysseus 7.93114.624125.64130.81L410.110.8601930 list
    2241 Alcathous 8.64113.682114.63118.87L57.690.9401979 list
    659 Nestor 8.99112.320108.87107.06L415.980.7901908 list
    3793 Leonteus 8.7112.04686.2687.58L45.620.7801985 list
    3063 Makhaon 8.4111.655116.14114.34L48.640.8301983 list
    1583 Antilochus 8.6108.842101.62111.69L431.540.9501950 list
    884 Priamus 8.81101.09396.29119.99L56.860.9001917 list
    1208 Troilus 8.99100.477103.34111.36L556.170.7401931 list
    1173 Anchises 8.8999.549126.27120.49L511.600.7801930 list
    2207 Antenor 8.8997.65885.1191.32L57.970.9501977 list
    2363 Cebriones 9.1195.97681.8484.61L520.050.9101977 list
    4063 Euforbo 8.795.619102.46106.38L48.850.9501989 list
    2357 Phereclos 8.9494.62594.9098.45L514.390.9601981 list
    4709 Ennomos 8.591.43380.8580.03L512.280.6901988 list
    2797 Teucer 8.789.430111.14113.99L410.150.9201981 list
    2920 Automedon 8.888.574111.01113.11L410.210.9501981 list
    15436 Dexius 9.187.64685.7178.63L48.970.8701998 list
    3596 Meriones 9.287.38075.0973.28L412.960.8301985 list
    2893 Peiroos 9.2386.88487.4686.76L58.960.9501975 list
    4086 Podalirius 9.185.49586.8985.98L410.430.8701985 list
    4060 Deipylos 9.384.04379.2186.79L49.300.7601987 list
    1404 Ajax 9.383.99081.6996.34L429.380.9601936 list
    4348 Poulydamas 9.582.03270.0887.51L59.910.8401988 list
    5144 Achates 9.080.95891.9189.85L55.960.9201991 list
    4833 Meges 8.980.16587.3389.39L414.250.9401989 list
    2223 Sarpedon 9.4177.48094.63108.21L522.740.8801977 list
    4489 Dracius 9.076.59592.9395.02L412.580.9501988 list
    2260 Neoptolemus 9.3176.43571.6581.28L48.180.9501975 list
    5254 Ulysses 9.276.14778.3480.00L428.720.9701986 list
    3708 Socus 9.375.66179.5976.75L56.550.9801974 list
    2674 Pandarus 9.174.26798.10101.72L58.481.0001982 list
    3564 Talthybius 9.473.73068.9274.11L440.590.9001985 list
    4834 Thoas 9.172.33186.8296.21L418.190.9501989 list
    7641 Cteatus 9.471.83968.9775.28L427.770.9801986 list
    3540 Protesilaos 9.370.22576.8487.66L48.950.9401973 list
    11395 Iphinous 9.868.97764.7167.78L417.381998 list
    4035 Thestor 9.668.73368.2366.99L413.470.9701986 list
    5264 Telephus 9.468.47273.2681.38L49.530.9701991 list
    1868 Thersites 9.568.16370.0878.89L410.480.9601960 list
    9799 Thronium 9.668.03364.8772.42L421.520.9101996 list
    4068 Menestheus 9.567.62562.3768.46L414.400.9501973 list
    23135 Pheidas 9.966.23058.2968.50L48.690.8602000 list
    2456 Palamedes 9.365.91691.6699.60L47.240.9201966 list
    3709 Polypoites 9.165.29799.0985.23L410.041.0001985 list
    1749 Telamon 9.564.89881.0669.14L416.980.9701949 list
    3548 Eurybates 9.663.88572.1468.40L48.710.7301973 list
    4543 Phoinix 9.763.83662.7969.54L438.871.2001989 list
    12444 Prothoon 9.863.83564.3162.41L515.821996 list
    4836 Medon 9.563.27767.7378.70L49.820.9201989 list
    16070 Charops 9.763.19164.1368.98L520.240.9601999 list
    15440 Eioneus 9.662.51966.4871.88L421.430.9701998 list
    4715 Medesicaste 9.762.09763.9165.93L58.810.8501989 list
    34746 Thoon 9.861.68460.5163.63L519.630.9502001 list
    38050 Bias 9.861.60361.0450.44L418.850.9901998 list
    5130 Ilioneus 9.760.71159.4052.49L514.770.9601989 list
    5027 Androgeos 9.659.78657.86n.a.L411.380.9101988 list
    6090 Aulis 9.459.56874.5381.92L418.480.9801989 list
    5648 Axius 9.759.29563.91n.a.L537.560.9001990 list
    7119 Hiera 9.759.15076.4077.29L44000.9501989 list
    4805 Asteropaios 10.057.64753.1643.44L512.371990 list
    16974 Iphthime 9.857.34155.4357.15L478.90.9601998 list
    4867 Polites 9.857.25158.2964.29L511.241.0101989 list
    2895 Memnon 10.056.70655.67n.a.L57.500.7101981 list
    4708 Polydoros 9.954.96455.67n.a.L57.520.9601988 list
    (21601) 1998 XO89 10.054.90955.6756.08L412.650.9701998 list
    12929 Periboea 9.954.07761.0455.34L59.270.8801999 list
    17492 Hippasos 10.053.97555.67n.a.L517.751991 list
    5652 Amphimachus 10.153.92153.1652.48L48.371.0501992 list
    2759 Idomeneus 9.953.67661.0152.55L432.380.9101980 list
    5258 Rhoeo 10.253.27550.77n.a.L419.851.0101989 list
    (12126) 1999 RM11 10.153.202n.a.n.a.L5n.a. ?1999 list
    (15502) 1999 NV27 10.053.10055.6750.86L515.130.8751999 list
    4754 Panthoos 10.053.02553.1556.96L527.681977 list
    4832 Palinurus 10.052.05853.16n.a.L55.321.0001988 list
    5126 Achaemenides 10.551.92244.2248.57L453.021989 list
    3240 Laocoon 10.251.69550.77n.a.L511.310.8801978 list
    4902 Thessandrus 9.851.26361.0471.79L47380.9601989 list
    11552 Boucolion 10.151.13653.1653.91L532.441993 list
    (20729) 1999 XS143 10.450.96146.30n.a.L45.721.0001999 list
    6545 Leitus 10.150.95153.16n.a.L416.260.9101986 list
    4792 Lykaon 10.150.87053.16n.a.L540.090.9601988 list
    21900 Orus 10.050.81055.6753.87L413.450.9501999 list
    1873 Agenor 10.150.79953.7654.38L520.601971 list
    5028 Halaesus 10.250.77050.77n.a.L424.940.9001988 list
    2146 Stentor 9.950.75558.29n.a.L416.401976 list
    4722 Agelaos 10.050.37853.1659.47L518.440.9101977 list
    5284 Orsilocus 10.150.15953.16n.a.L410.310.9701989 list
    11509 Thersilochos 10.149.96053.1656.23L517.371990 list
    5285 Krethon 10.149.60658.5352.61L412.041.0901989 list
    4791 Iphidamas 10.149.52857.8559.96L59.701.0301988 list
    9023 Mnesthus 10.149.15150.7760.80L530.661988 list
    5283 Pyrrhus 9.748.35664.5869.93L47.320.9501989 list
    4946 Askalaphus 10.248.20952.7166.10L422.730.9401988 list
    (22149) 2000 WD49 10.248.19050.7750.37L47.841.0902000 list
    (32496) 2000 WX182 10.248.01750.7751.63L523.340.9502000 list
    5120 Bitias 10.247.98750.77n.a.L515.210.7801988 list
    12714 Alkimos 10.147.81961.0454.62L428.481991 list
    7352 Hypsenor 9.947.73155.67 47.07L56480.8501994 list
    1870 Glaukos 10.647.64942.23n.a.L55.991971 list
    4138 Kalchas 10.146.46253.1661.04L429.20.8101973 list
    (23958) 1998 VD30 10.246.00150.7747.91L45620.9901998 list
    4828 Misenus 10.445.95446.30 43.22L512.870.9201988 list
    4057 Demophon 10.145.68353.16n.a.L429.821.0601985 list
    4501 Eurypylos 10.445.52446.30n.a.L46.051989 list
    4007 Euryalos 10.345.51548.4853.89L46.391973 list
    5259 Epeigeus 10.344.74142.5944.42L418.421989 list
    30705 Idaios 10.444.54646.30n.a.L515.741977 list
    16560 Daitor 10.743.86151.4243.38L51991 list
    (15977) 1998 MA11 10.443.53046.3051.53L52500.9061998 list
    7543 Prylis 10.642.89342.23n.a.L417.801973 list
    4827 Dares 10.542.77044.22n.a.L519.001988 list
    1647 Menelaus 10.542.71644.22n.a.L417.740.8661957 list
    (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.

    Naming

    This minor planet's name was suggested by Austrian astronomer Johann Palisa. It was named after Achilles, the legendary hero from Greek mythology and central figure in Homer's Iliad which tells the accounts of the Trojan War (also see 5700 Homerus and 6604 Ilias). As an infant, Achilles was plunged in the River Styx by his mother Thetis (also see 17 Thetis), thus rendering his body invulnerable excepting the heel by which he was held. He slew Hector (see also 624 Hektor ), the greatest Trojan warrior. He was eventually killed by an arrow in the heel by Paris (see 3317 Paris ). [2]

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    References

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