# 5476 Mulius

5476 Mulius, provisional designation: 1989 TO$_{11}$ is a mid-sized Jupiter trojan from the Trojan camp, approximately 35 kilometers (22 miles) in diameter. It was discovered on 2 October 1989, by American astronomer Schelte Bus at the Cerro Tololo Inter-American Observatory in Chile. The dark Jovian asteroid has a rotation period of 5.8 hours. It was numbered in March 1993. In November 2021, it was named after the Trojan warrior Mulius, who was killed by Achilles during the Trojan War, according to Greek mythology.

## Classification and orbit

Mulius is a Jupiter trojan which stays in a 1:1 orbital resonance with Jupiter. It is located in the trailering Trojan camp at the Gas Giant's L$_5$ Lagrangian point, 60° behind its orbit (see Trojans in astronomy). It is also a non-family asteroid of the Jovian background population.
It orbits the Sun at a distance of 4.7–5.5 AU once every 11 years and 7 months (4,217 days; semi-major axis of 5.11 AU). Its orbit has an eccentricity of 0.07 and an inclination of 14° with respect to the ecliptic. The asteroid was first observed at Palomar Observatory in August 1952. One year later, the body's observation arc begins at Palomar in August 1953, or more than 36 years prior to its official discovery observation at Cerro Tololo.

## Numbering and naming

This minor planet was numbered by the Minor Planet Center on 8 March 1993 (M.P.C. 21774). On 29 November 2021, IAU's Working Group for Small Bodies Nomenclature named it from Greek mythology after Trojan warrior Mulius, who was killed during the Trojan War by Achilles who drove his javelin through one ear and out the other of Mulius' head.

## Physical characteristics

Mulius is an assumed C-type asteroid. Jovian asteroids are typically D-types, with the remainder being mostly carbonaceous C- and primitive P-type asteroids.

### Rotation period

Four nights of photometric observations of this asteroid were used to build a lightcurve showing a rotation period of 5.780±0.001 hours with a brightness variation of 0.30 magnitude. The well-defined lightcurve was obtained during February 1994 by Stefano Mottola and Anders Erikson using the ESO 1-metre telescope at the La Silla Observatory in Chile (U=3).

### Diameter and albedo

According to the survey carried out by the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, the asteroid measures 35.1 kilometers in diameter and its surface has an albedo of 0.099, while the Collaborative Asteroid Lightcurve Link assumes a standard albedo for a carbonaceous asteroid of 0.057 and calculates a larger diameter of 42.2 kilometers.
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 Hektor | 7.2 | 225 | 233 | 230.99 | L4 | 6.92 | 0.930 | 1907 | list |
| 617 Patroclus | 8.19 | 140.362 | 140.92 | 140.85 | L5 | 102.80 | 0.830 | 1906 | list |
| 911 Agamemnon | 7.89 | 131.038 | 166.66 | 185.30 | L4 | 6.59 | 0.980 | 1919 | list |
| 588 Achilles | 8.67 | 130.099 | 135.47 | 133.22 | L4 | 7.31 | 0.940 | 1906 | list |
| 3451 Mentor | 8.4 | 126.288 | 116.30 | 117.91 | L5 | 7.70 | 0.770 | 1984 | list |
| 3317 Paris | 8.3 | 118.790 | 116.26 | 120.45 | L5 | 7.09 | 0.950 | 1984 | list |
| 1867 Deiphobus | 8.3 | 118.220 | 122.67 | 131.31 | L5 | 58.66 | 0.930 | 1971 | list |
| 1172 Äneas | 8.33 | 118.020 | 142.82 | 148.66 | L5 | 8.71 | 0.950 | 1930 | list |
| 1437 Diomedes | 8.3 | 117.786 | 164.31 | 172.60 | L4 | 24.49 | 0.810 | 1937 | list |
| 1143 Odysseus | 7.93 | 114.624 | 125.64 | 130.81 | L4 | 10.11 | 0.860 | 1930 | list |
| 2241 Alcathous | 8.64 | 113.682 | 114.63 | 118.87 | L5 | 7.69 | 0.940 | 1979 | list |
| 659 Nestor | 8.99 | 112.320 | 108.87 | 107.06 | L4 | 15.98 | 0.790 | 1908 | list |
| 3793 Leonteus | 8.7 | 112.046 | 86.26 | 87.58 | L4 | 5.62 | 0.780 | 1985 | list |
| 3063 Makhaon | 8.4 | 111.655 | 116.14 | 114.34 | L4 | 8.64 | 0.830 | 1983 | list |
| 1583 Antilochus | 8.6 | 108.842 | 101.62 | 111.69 | L4 | 31.54 | 0.950 | 1950 | list |
| 884 Priamus | 8.81 | 101.093 | 96.29 | 119.99 | L5 | 6.86 | 0.900 | 1917 | list |
| 1208 Troilus | 8.99 | 100.477 | 103.34 | 111.36 | L5 | 56.17 | 0.740 | 1931 | list |
| 1173 Anchises | 8.89 | 99.549 | 126.27 | 120.49 | L5 | 11.60 | 0.780 | 1930 | list |
| 2207 Antenor | 8.89 | 97.658 | 85.11 | 91.32 | L5 | 7.97 | 0.950 | 1977 | list |
| 2363 Cebriones | 9.11 | 95.976 | 81.84 | 84.61 | L5 | 20.05 | 0.910 | 1977 | list |
| 4063 Euforbo | 8.7 | 95.619 | 102.46 | 106.38 | L4 | 8.85 | 0.950 | 1989 | list |
| 2357 Phereclos | 8.94 | 94.625 | 94.90 | 98.45 | L5 | 14.39 | 0.960 | 1981 | list |
| 4709 Ennomos | 8.5 | 91.433 | 80.85 | 80.03 | L5 | 12.28 | 0.690 | 1988 | list |
| 2797 Teucer | 8.7 | 89.430 | 111.14 | 113.99 | L4 | 10.15 | 0.920 | 1981 | list |
| 2920 Automedon | 8.8 | 88.574 | 111.01 | 113.11 | L4 | 10.21 | 0.950 | 1981 | list |
| 15436 Dexius | 9.1 | 87.646 | 85.71 | 78.63 | L4 | 8.97 | 0.870 | 1998 | list |
| 3596 Meriones | 9.2 | 87.380 | 75.09 | 73.28 | L4 | 12.96 | 0.830 | 1985 | list |
| 2893 Peiroos | 9.23 | 86.884 | 87.46 | 86.76 | L5 | 8.96 | 0.950 | 1975 | list |
| 4086 Podalirius | 9.1 | 85.495 | 86.89 | 85.98 | L4 | 10.43 | 0.870 | 1985 | list |
| 4060 Deipylos | 9.3 | 84.043 | 79.21 | 86.79 | L4 | 9.30 | 0.760 | 1987 | list |
| 1404 Ajax | 9.3 | 83.990 | 81.69 | 96.34 | L4 | 29.38 | 0.960 | 1936 | list |
| 4348 Poulydamas | 9.5 | 82.032 | 70.08 | 87.51 | L5 | 9.91 | 0.840 | 1988 | list |
| 5144 Achates | 9.0 | 80.958 | 91.91 | 89.85 | L5 | 5.96 | 0.920 | 1991 | list |
| 4833 Meges | 8.9 | 80.165 | 87.33 | 89.39 | L4 | 14.25 | 0.940 | 1989 | list |
| 2223 Sarpedon | 9.41 | 77.480 | 94.63 | 108.21 | L5 | 22.74 | 0.880 | 1977 | list |
| 4489 Dracius | 9.0 | 76.595 | 92.93 | 95.02 | L4 | 12.58 | 0.950 | 1988 | list |
| 2260 Neoptolemus | 9.31 | 76.435 | 71.65 | 81.28 | L4 | 8.18 | 0.950 | 1975 | list |
| 5254 Ulysses | 9.2 | 76.147 | 78.34 | 80.00 | L4 | 28.72 | 0.970 | 1986 | list |
| 3708 Socus | 9.3 | 75.661 | 79.59 | 76.75 | L5 | 6.55 | 0.980 | 1974 | list |
| 2674 Pandarus | 9.1 | 74.267 | 98.10 | 101.72 | L5 | 8.48 | 1.000 | 1982 | list |
| 3564 Talthybius | 9.4 | 73.730 | 68.92 | 74.11 | L4 | 40.59 | 0.900 | 1985 | list |
| 4834 Thoas | 9.1 | 72.331 | 86.82 | 96.21 | L4 | 18.19 | 0.950 | 1989 | list |
| 7641 Cteatus | 9.4 | 71.839 | 68.97 | 75.28 | L4 | 27.77 | 0.980 | 1986 | list |
| 3540 Protesilaos | 9.3 | 70.225 | 76.84 | 87.66 | L4 | 8.95 | 0.940 | 1973 | list |
| 11395 Iphinous | 9.8 | 68.977 | 64.71 | 67.78 | L4 | 17.38 | – | 1998 | list |
| 4035 Thestor | 9.6 | 68.733 | 68.23 | 66.99 | L4 | 13.47 | 0.970 | 1986 | list |
| 5264 Telephus | 9.4 | 68.472 | 73.26 | 81.38 | L4 | 9.53 | 0.970 | 1991 | list |
| 1868 Thersites | 9.5 | 68.163 | 70.08 | 78.89 | L4 | 10.48 | 0.960 | 1960 | list |
| 9799 Thronium | 9.6 | 68.033 | 64.87 | 72.42 | L4 | 21.52 | 0.910 | 1996 | list |
| 4068 Menestheus | 9.5 | 67.625 | 62.37 | 68.46 | L4 | 14.40 | 0.950 | 1973 | list |
| 23135 Pheidas | 9.9 | 66.230 | 58.29 | 68.50 | L4 | 8.69 | 0.860 | 2000 | list |
| 2456 Palamedes | 9.3 | 65.916 | 91.66 | 99.60 | L4 | 7.24 | 0.920 | 1966 | list |
| 3709 Polypoites | 9.1 | 65.297 | 99.09 | 85.23 | L4 | 10.04 | 1.000 | 1985 | list |
| 1749 Telamon | 9.5 | 64.898 | 81.06 | 69.14 | L4 | 16.98 | 0.970 | 1949 | list |
| 3548 Eurybates | 9.6 | 63.885 | 72.14 | 68.40 | L4 | 8.71 | 0.730 | 1973 | list |
| 4543 Phoinix | 9.7 | 63.836 | 62.79 | 69.54 | L4 | 38.87 | 1.200 | 1989 | list |
| 12444 Prothoon | 9.8 | 63.835 | 64.31 | 62.41 | L5 | 15.82 | – | 1996 | list |
| 4836 Medon | 9.5 | 63.277 | 67.73 | 78.70 | L4 | 9.82 | 0.920 | 1989 | list |
| 16070 Charops | 9.7 | 63.191 | 64.13 | 68.98 | L5 | 20.24 | 0.960 | 1999 | list |
| 15440 Eioneus | 9.6 | 62.519 | 66.48 | 71.88 | L4 | 21.43 | 0.970 | 1998 | list |
| 4715 Medesicaste | 9.7 | 62.097 | 63.91 | 65.93 | L5 | 8.81 | 0.850 | 1989 | list |
| 34746 Thoon | 9.8 | 61.684 | 60.51 | 63.63 | L5 | 19.63 | 0.950 | 2001 | list |
| 38050 Bias | 9.8 | 61.603 | 61.04 | 50.44 | L4 | 18.85 | 0.990 | 1998 | list |
| 5130 Ilioneus | 9.7 | 60.711 | 59.40 | 52.49 | L5 | 14.77 | 0.960 | 1989 | list |
| 5027 Androgeos | 9.6 | 59.786 | 57.86 | n.a. | L4 | 11.38 | 0.910 | 1988 | list |
| 6090 Aulis | 9.4 | 59.568 | 74.53 | 81.92 | L4 | 18.48 | 0.980 | 1989 | list |
| 5648 Axius | 9.7 | 59.295 | 63.91 | n.a. | L5 | 37.56 | 0.900 | 1990 | list |
| 7119 Hiera | 9.7 | 59.150 | 76.40 | 77.29 | L4 | 400 | 0.950 | 1989 | list |
| 4805 Asteropaios | 10.0 | 57.647 | 53.16 | 43.44 | L5 | 12.37 | – | 1990 | list |
| 16974 Iphthime | 9.8 | 57.341 | 55.43 | 57.15 | L4 | 78.9 | 0.960 | 1998 | list |
| 4867 Polites | 9.8 | 57.251 | 58.29 | 64.29 | L5 | 11.24 | 1.010 | 1989 | list |
| 2895 Memnon | 10.0 | 56.706 | 55.67 | n.a. | L5 | 7.50 | 0.710 | 1981 | list |
| 4708 Polydoros | 9.9 | 54.964 | 55.67 | n.a. | L5 | 7.52 | 0.960 | 1988 | list |
| (21601) 1998 XO89 | 10.0 | 54.909 | 55.67 | 56.08 | L4 | 12.65 | 0.970 | 1998 | list |
| 12929 Periboea | 9.9 | 54.077 | 61.04 | 55.34 | L5 | 9.27 | 0.880 | 1999 | list |
| 17492 Hippasos | 10.0 | 53.975 | 55.67 | n.a. | L5 | 17.75 | – | 1991 | list |
| 5652 Amphimachus | 10.1 | 53.921 | 53.16 | 52.48 | L4 | 8.37 | 1.050 | 1992 | list |
| 2759 Idomeneus | 9.9 | 53.676 | 61.01 | 52.55 | L4 | 32.38 | 0.910 | 1980 | list |
| 5258 Rhoeo | 10.2 | 53.275 | 50.77 | n.a. | L4 | 19.85 | 1.010 | 1989 | list |
| (12126) 1999 RM11 | 10.1 | 53.202 | n.a. | n.a. | L5 | n.a. | ? | 1999 | list |
| (15502) 1999 NV27 | 10.0 | 53.100 | 55.67 | 50.86 | L5 | 15.13 | 0.875 | 1999 | list |
| 4754 Panthoos | 10.0 | 53.025 | 53.15 | 56.96 | L5 | 27.68 | – | 1977 | list |
| 4832 Palinurus | 10.0 | 52.058 | 53.16 | n.a. | L5 | 5.32 | 1.000 | 1988 | list |
| 5126 Achaemenides | 10.5 | 51.922 | 44.22 | 48.57 | L4 | 53.02 | – | 1989 | list |
| 3240 Laocoon | 10.2 | 51.695 | 50.77 | n.a. | L5 | 11.31 | 0.880 | 1978 | list |
| 4902 Thessandrus | 9.8 | 51.263 | 61.04 | 71.79 | L4 | 738 | 0.960 | 1989 | list |
| 11552 Boucolion | 10.1 | 51.136 | 53.16 | 53.91 | L5 | 32.44 | – | 1993 | list |
| (20729) 1999 XS143 | 10.4 | 50.961 | 46.30 | n.a. | L4 | 5.72 | 1.000 | 1999 | list |
| 6545 Leitus | 10.1 | 50.951 | 53.16 | n.a. | L4 | 16.26 | 0.910 | 1986 | list |
| 4792 Lykaon | 10.1 | 50.870 | 53.16 | n.a. | L5 | 40.09 | 0.960 | 1988 | list |
| 21900 Orus | 10.0 | 50.810 | 55.67 | 53.87 | L4 | 13.45 | 0.950 | 1999 | list |
| 1873 Agenor | 10.1 | 50.799 | 53.76 | 54.38 | L5 | 20.60 | – | 1971 | list |
| 5028 Halaesus | 10.2 | 50.770 | 50.77 | n.a. | L4 | 24.94 | 0.900 | 1988 | list |
| 2146 Stentor | 9.9 | 50.755 | 58.29 | n.a. | L4 | 16.40 | – | 1976 | list |
| 4722 Agelaos | 10.0 | 50.378 | 53.16 | 59.47 | L5 | 18.44 | 0.910 | 1977 | list |
| 5284 Orsilocus | 10.1 | 50.159 | 53.16 | n.a. | L4 | 10.31 | 0.970 | 1989 | list |
| 11509 Thersilochos | 10.1 | 49.960 | 53.16 | 56.23 | L5 | 17.37 | – | 1990 | list |
| 5285 Krethon | 10.1 | 49.606 | 58.53 | 52.61 | L4 | 12.04 | 1.090 | 1989 | list |
| 4791 Iphidamas | 10.1 | 49.528 | 57.85 | 59.96 | L5 | 9.70 | 1.030 | 1988 | list |
| 9023 Mnesthus | 10.1 | 49.151 | 50.77 | 60.80 | L5 | 30.66 | – | 1988 | list |
| 5283 Pyrrhus | 9.7 | 48.356 | 64.58 | 69.93 | L4 | 7.32 | 0.950 | 1989 | list |
| 4946 Askalaphus | 10.2 | 48.209 | 52.71 | 66.10 | L4 | 22.73 | 0.940 | 1988 | list |
| (22149) 2000 WD49 | 10.2 | 48.190 | 50.77 | 50.37 | L4 | 7.84 | 1.090 | 2000 | list |
| (32496) 2000 WX182 | 10.2 | 48.017 | 50.77 | 51.63 | L5 | 23.34 | 0.950 | 2000 | list |
| 5120 Bitias | 10.2 | 47.987 | 50.77 | n.a. | L5 | 15.21 | 0.780 | 1988 | list |
| 12714 Alkimos | 10.1 | 47.819 | 61.04 | 54.62 | L4 | 28.48 | – | 1991 | list |
| 7352 Hypsenor | 9.9 | 47.731 | 55.67 | 47.07 | L5 | 648 | 0.850 | 1994 | list |
| 1870 Glaukos | 10.6 | 47.649 | 42.23 | n.a. | L5 | 5.99 | — | 1971 | list |
| 4138 Kalchas | 10.1 | 46.462 | 53.16 | 61.04 | L4 | 29.2 | 0.810 | 1973 | list |
| (23958) 1998 VD30 | 10.2 | 46.001 | 50.77 | 47.91 | L4 | 562 | 0.990 | 1998 | list |
| 4828 Misenus | 10.4 | 45.954 | 46.30 | 43.22 | L5 | 12.87 | 0.920 | 1988 | list |
| 4057 Demophon | 10.1 | 45.683 | 53.16 | n.a. | L4 | 29.82 | 1.060 | 1985 | list |
| 4501 Eurypylos | 10.4 | 45.524 | 46.30 | n.a. | L4 | 6.05 | – | 1989 | list |
| 4007 Euryalos | 10.3 | 45.515 | 48.48 | 53.89 | L4 | 6.39 | – | 1973 | list |
| 5259 Epeigeus | 10.3 | 44.741 | 42.59 | 44.42 | L4 | 18.42 | – | 1989 | list |
| 30705 Idaios | 10.4 | 44.546 | 46.30 | n.a. | L5 | 15.74 | – | 1977 | list |
| 16560 Daitor | 10.7 | 43.861 | 51.42 | 43.38 | L5 | – | – | 1991 | list |
| (15977) 1998 MA11 | 10.4 | 43.530 | 46.30 | 51.53 | L5 | 250 | 0.906 | 1998 | list |
| 7543 Prylis | 10.6 | 42.893 | 42.23 | n.a. | L4 | 17.80 | – | 1973 | list |
| 4827 Dares | 10.5 | 42.770 | 44.22 | n.a. | L5 | 19.00 | – | 1988 | list |
| 1647 Menelaus | 10.5 | 42.716 | 44.22 | n.a. | L4 | 17.74 | 0.866 | 1957 | 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. ||||||||||