Table A.1
Results of photometric inversion of HIPPARCOS data for asteroids, using the triaxial ellipsoid shape model.
| Object | No. of HIPPARCOS | Known | Rotation period | Pole coordinates | b/a | c/a | No. of used | Max accepted error |
|---|---|---|---|---|---|---|---|---|
| number | measurements | rotation | from inversion | from inversion | measurements | for HIPPARCOS | ||
| (total) | period (h) | (h) | (λ, β) | data (mag) | ||||
| 1 | 65 | 9.074170 | – | – | >0.97 | >0.79 | 65 | 0.03 |
| 2 | 62 | 7.8132 | – | (202,+55) | 0.88 | 0.84 | 56 | 0.03 |
| 3 | 60 | 7.210 | (7.2867) | (93,+52) | 0.87 | 0.50 | 58 | 0.03 |
| 4 | 58 | 5.34212767 | 10.6826 | (340,+70) | 0.91 | 0.55 | 58 | 0.03 |
| 5 | 70 | 16.801 | 16.8015 | (323,+64) | 0.80 | 0.80 | 43 | 0.03 |
| 6 | 91 | 7.2745 | (14.7910) | (345,+50) | 0.90 | 0.78 | 85 | 0.03 |
| 7 | 69 | 7.139 | – | – | – | – | 66 | 0.03 |
| 8 | 55 | 12.865 | – | – | – | – | 41 | 0.03 |
| 9 | 40 | 5.079 | – | – | – | – | 47 | 0.04 |
| 10 | 48 | 27.630 | 27.6621 (1) | (196,−48) | 0.68 | 0.66 | 47 | 0.04 |
| 27.6611 | (315,−90) | 0.78 | 0.15 | |||||
| 11 | 64 | 13.7204 | – | – | – | – | 46 | 0.03 |
| 13 | 29 | 7.045 | – | – | – | – | 29 | 0.05 |
| 14 | 42 | 15.028 | – | – | – | – | 31 | 0.03 |
| 15 | 82 | 6.083 | 6.0828 | (309,−53) | 0.70 | 0.67 | 63 | 0.03 |
| 6.0828 | (109,−64) | 0.71 | 0.71 | |||||
| 16 | 41 | 4.196 | – | – | – | – | 41 | 0.05 |
| 18 | 93 | 11.570 | 11.5706 (2) | (24,+19) | 0.83 | 0.83 | 55 | 0.03 |
| 11.5705 | (195,+36) | 0.83 | 0.83 | |||||
| 20 | 57 | 8.098 | 8.0975 | (36,+41) | 0.82 | 0.82 | 48 | 0.04 |
| 8.0996 | (47,−34) | 0.83 | 0.83 | 39 | 0.03 | |||
| 10.2840 | (30,+85) | 0.83 | 0.15 | |||||
| 22 | 50 | 4.1483 | (4.273) | (02,+14) | 0.70 | 0.62 | 26 | 0.03 |
| 23 | 46 | 12.312 | – | – | – | – | 46 | 0.05 |
| 27 | 32 | 10.4082 | – | – | – | – | 32 | 0.05 |
| 29 | 73 | 5.3921 | – | – | – | – | 64 | 0.03 |
| – | – | – | – | 71 | 0.04 | |||
| 30 | 35 | 13.686 | – (3) | – | – | – | 35 | 0.05 |
| 39 | 109 | 5.138 | 5.1383 (4) | (333,+52) | 0.70 | 0.39 | 83 | 0.03 |
| 40 | 73 | 8.910 | 8.9108 | (202,−18) | 0.73 | 0.73 | 38 | 0.03 |
| 42 | 49 | 13.590 | 13.5832 | (110,+42) | 0.76 | 0.54 | 41 | 0.03 |
| 44 | 49 | 6.422 | 6.4215 | (296,+49) | 0.66 | 0.50 | 29 | 0.03 |
| 88 | 31 | 6.042 | – | – | – | – | 31 | 0.05 |
| 129 | 37 | 4.9572 | – | – | – | – | 37 | 0.05 |
| 192 | 28 | 13.625 | (13.3807) | (100,−78) | 0.87 | 0.16 | 28 | 0.05 |
| 13.6252 | (99,−78) | 0.86 | 0.16 | |||||
| 216 | 19 | 5.385 | 5.3852 | (238,+26) | 0.43 | 0.35 | 19 | 0.05 |
| 5.3851 | (59,−11) | 0.43 | 0.34 | |||||
| 230 | 32 | 24.0055 | – | – | – | – | 32 | 0.05 |
| 324 | 67 | 29.43 | – | – | – | – | 67 | 0.05 |
| 349 | 88 | 4.701 | 4.6933 | (356,−64) | 0.80 | 0.68 | 64 | 0.03 |
| 4.7012 (5) | (152,+44) | 0.78 | 0.72 | 63 | 0.03 | |||
| 4.7012 | (324,+28) | 0.77 | 0.72 | |||||
| 354 | 86 | 4.277 | (4.44) | (145,+49) | 0.74 | 0.56 | 50 | 0.03 |
| 471 | 94 | 7.113 | 7.1278 | (222,+54) | 0.86 | 0.53 | 80 | 0.04 |
| 7.1152 | (226,+59) | 0.85 | 0.47 | |||||
| 7.1152 | (227,+58) | 0.84 | 0.48 | 51 | 0.03 | |||
| 511 | 47 | 5.1297 | – | – | – | – | 46 | 0.05 |
| 532 | 39 | 9.405 | – | – | – | – | 39 | 0.05 |
| 704 | 77 | 8.727 | – (6) | – | – | – | 35 | 0.03 |
Notes. With the exception of (216) Kleopatra, we only consider asteroids having a number of HIPPARCOS measurements > 25. Some P solutions that are different from, but close to, the correct solution are given in brackets. Some pole solutions are listed, when close to ground-based estimates, also for a few objects for which the derived spin period solution is wrong, and/or very close to twice the ground-based derived period. No error bars are indicated for the obtained period and pole coordinates solutions, for the reasons explained in the text. Note that the inversion results do not change if the value for the maximum accepted photometric error for the HIPPARCOS measurements, given in the last column, are changed. (1) Same P using 0.03 mag error limit. Best P solution always in competition with alternative solution having P = 37.5 h. (2) After removal of three brightest HIPPARCOS data at ecliptic longitude λ ≈ 280°. (3) The correct solution with P = 13.68 is found, but it is not the best solution. (4)Alternative solutions exist and give similar (although nominally worse) residuals. (5) After removal of brightest HIPPARCOS mag. (6)A solution with P = 8.70 h appears, but it gives worse residuals than several bad solutions.
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