The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 15760
# Created Tue Nov 19 02:06:42 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 112 observations of 113
# Arc: 30.32y
# First observation: 1992/08/30
# Last observation: 2022/12/26
# Chi-squared of fit: 1267.73 DOF: 218 RMS: 0.59
# Min/Max residuals: -2.03 1.93
# Exact a, adot, b, bdot, g, gdot:
1.349045E-05 2.543045E-02 5.767907E-06 9.704262E-04 2.502972E-02 1.710342E-04
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
0.014610 0.336903 0.389380 0.000306 -0.932313 2448864.961575
# Heliocentric elements and errors
Epoch: 2448864.5000 = 1992/08/30
Mean Anomaly: 357.83635 +/- 0.000
Argument of Peri: 2.85785 +/- 0.000
Long of Asc Node: 359.40447 +/- 0.000
Inclination: 2.18946 +/- 0.000
Eccentricity: 0.06644690 +/- 0.0000
Semi-Major Axis: 43.79172596 +/- 0.0000
Time of Perihelion: 2449500.6680 +/- 0.0
Perihelion: 40.88190149 +/- 0.0000
Aphelion: 46.70155043 +/- 0.0000
Period (y) 289.7986 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.88399386 +/- 0.0000
Ecliptic Y -0.15213060 +/- 0.0000
Ecliptic Z 0.01043025 +/- 0.0000
Ecliptic XDOT 0.00000283 +/- 0.0000
Ecliptic YDOT 0.00277616 +/- 0.0000
Ecliptic ZDOT 0.00010613 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.88427995 +/- 0.0000
Geocenter to KBO 39.95252761 +/- 0.0000
# Hcoef: 7.18
The following table shows the complete astrometric record for 15760. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (15760) followed by the observatory code and reference code for the source of the astrometry.
1992 08 30.46089 00 01 12.79 +00 08 50.7 23.5V 15760 568 A20881 1992 08 30.60338 00 01 12.19 +00 08 46.9 15760 568 A20881 1992 08 31.52568 00 01 08.37 +00 08 22.7 15760 568 A20881 1992 08 31.62503 00 01 07.95 +00 08 19.9 15760 568 A20881 1992 09 01.35969 00 01 04.90 +00 08 00.6 15760 568 A20881 1992 09 01.62746 00 01 03.76 +00 07 53.3 15760 568 A20881 1992 09 21.42957 23 59 35.97 -00 01 23.9 15760 413 C20878 1992 09 24.37682 23 59 22.62 -00 02 50.3 15760 689 C21016 1992 09 25.41875 23 59 17.85 -00 03 20.3 15760 568 C20881 1992 09 25.43201 23 59 17.80 -00 03 20.8 15760 568 C20881 1992 09 25.56401 23 59 17.16 -00 03 24.6 15760 568 C20881 1992 09 27.10789 23 59 10.07 -00 04 09.6 15760 809 C20902 1992 09 27.27997 23 59 09.26 -00 04 14.7 15760 809 C20902 1992 09 27.37038 23 59 08.96 -00 04 17.0 15760 689 C21016 1992 10 26.42932 23 57 07.30 -00 17 10.6 15760 413 C21345 1992 10 26.62049 23 57 06.59 -00 17 15.9 15760 413 C21345 1992 11 01.21969 23 56 47.34 -00 19 18.2 15760 689 C21370 1992 11 15.15329 23 56 08.51 -00 23 22.4 15760 689 C21370 1992 11 16.16073 23 56 06.26 -00 23 35.9 15760 689 C21370 1992 11 20.98708 23 55 56.66 -00 24 36.6 15760 493 C21345 1992 11 21.99275 23 55 54.92 -00 24 47.2 15760 493 C21345 1992 11 23.05860 23 55 53.08 -00 24 57.5 23.5R 15760 809 C21450 1992 12 25.07396 23 55 47.23 -00 25 18.4 15760 809 C21450 1993 06 25.37850 00 08 36.94 +00 59 54.7 23.9R 15760 809 C22560 1993 06 26.42452 00 08 37.65 +00 59 59.0 23.5R 15760 809 C22560 1993 07 14.422 00 08 34.68 +00 59 52.2 15760 809 C22560 1993 07 15.429 00 08 33.69 +00 59 46.3 15760 809 C22560 1993 07 15.55616 00 08 33.62 +00 59 45.8 15760 568 C22539 1993 07 15.59765 00 08 33.58 +00 59 45.5 15760 568 C22539 1993 07 16.416 00 08 32.63 +00 59 40.1 15760 809 C22560 1993 09 15.36115 00 05 20.18 +00 39 26.6 15760 689 C22641 1993 09 15.37501 00 05 20.12 +00 39 26.2 15760 689 C22641 1993 09 15.38814 00 05 20.04 +00 39 26.2 15760 689 C22641 1993 09 16.42959 00 05 15.32 +00 38 54.3 15760 689 C22641 1993 09 16.9417 00 05 13.02 +00 38 42.3 15760 950 C22661 1993 09 17.0772 00 05 12.42 +00 38 38.6 15760 950 C22661 1993 09 23.0103 00 04 45.43 +00 35 47.2 22.4R 15760 950 C22661 1993 09 23.1550 00 04 44.78 +00 35 42.6 22.3R 15760 950 C22661 1994 01 14.2206 00 01 35.81 +00 16 09.0 15760 568 C22875 1994 01 14.2549 00 01 35.91 +00 16 09.6 15760 568 C22875 1994 08 09.23980 00 12 57.88 +01 32 13.6 15760 809 C28036 1994 08 09.24984 00 12 57.88 +01 32 13.8 15760 809 C28036 1994 08 09.26133 00 12 57.85 +01 32 13.5 15760 809 C28036 1994 08 09.27966 00 12 57.78 +01 32 13.2 15760 809 C28036 1994 08 09.29770 00 12 57.73 +01 32 13.0 15760 809 C28036 1994 08 09.30988 00 12 57.67 +01 32 12.9 15760 809 C28036 1994 08 09.32816 00 12 57.63 +01 32 12.3 15760 809 C28036 1994 08 09.34130 00 12 57.61 +01 32 12.3 15760 809 C28036 1994 08 09.40229 00 12 57.42 +01 32 11.2 15760 809 C28036 1994 08 09.41674 00 12 57.37 +01 32 10.7 15760 809 C28036 1994 08 10.15616 00 12 55.30 +01 31 57.8 15760 809 C28036 1994 08 10.19323 00 12 55.20 +01 31 56.7 15760 809 C28036 1994 08 10.32487 00 12 54.80 +01 31 54.5 15760 809 C28036 1994 11 07.9428 00 06 54.91 +00 53 50.3 22.3R 15760 950 C24367 1994 11 07.9863 00 06 54.77 +00 53 49.5 15760 950 C24367 1994 11 08.0276 00 06 54.65 +00 53 48.3 15760 950 C24367 1995 12 07.23190 00 11 09.70 +01 25 10.9 15760 568 C26491 1996 01 20.07992 00 12 02.51 +01 31 05.6 15760 711 C27069 1996 01 20.08860 00 12 02.57 +01 31 06.9 15760 711 C27069 1996 01 22.07326 00 12 09.01 +01 31 48.0 15760 711 C27069 1996 01 22.08153 00 12 08.89 +01 31 46.7 15760 711 C27069 1996 01 22.09099 00 12 09.10 +01 31 47.5 15760 711 C27069 1996 01 22.10194 00 12 08.93 +01 31 48.6 15760 711 C27069 1996 01 23.06719 00 12 12.36 +01 32 10.5 15760 711 C27069 1996 01 23.08576 00 12 12.27 +01 32 11.2 15760 711 C27069 1996 01 23.09752 00 12 12.37 +01 32 12.3 15760 711 C27069 1996 09 12.4481 00 21 20.23 +02 34 06.1 15760 568 C27786 1996 09 12.5044 00 21 19.98 +02 34 04.3 15760 568 C27786 1996 09 16.00627 00 21 04.59 +02 32 27.1 15760 950 C28049 1996 09 16.03883 00 21 04.42 +02 32 25.8 15760 950 C28049 1996 09 16.07148 00 21 04.27 +02 32 25.0 15760 950 C28049 1997 09 24.43275 00 25 45.01 +03 06 18.9 15760 568 Ca0006 1997 09 24.49469 00 25 44.72 +03 06 16.8 15760 568 Ca0006 1999 10 11.47307 00 35 05.79 +04 13 39.0 22.8R 15760 568 Ca6615 1999 10 11.52274 00 35 05.51 +04 13 37.3 22.7R 15760 568 Ca6615 1999 11 30.13384 00 32 10.87 +03 55 08.2 22.8r 15760 695 Cq9389 1999 12 01.13228 00 32 08.96 +03 54 56.6 22.8r 15760 695 Cq9389 2005 09 26.255442 01 08 05.92 +08 01 16.8 15760 645 C~1Y52 2005 09 26.256271 01 08 05.91 +08 01 16.8 15760 645 C~1Y52 2005 09 26.258759 01 08 05.90 +08 01 16.7 15760 645 C~1Y52 2008 10 28.356373 01 21 39.39 +09 33 19.2 15760 645 C~1Y52 2008 10 28.357203 01 21 39.39 +09 33 19.2 15760 645 C~1Y52 2008 10 28.359690 01 21 39.37 +09 33 19.1 15760 645 C~1Y52 2010 10 12.468528 01 33 42.937 +10 50 21.29 23.4G 15760 F51 C~3dfY 2013 10 05.395729 01 50 32.041 +12 34 34.19 23.0G 15760 F51 C~3dfY 2013 10 05.41421 01 50 31.92 +12 34 33.6 23.0R 15760 695 C~0zmd 2013 10 05.47775 01 50 31.63 +12 34 32.0 15760 695 C~0zmd 2013 10 06.42381 01 50 27.36 +12 34 09.7 15760 695 C~0zmd 2014 09 29.528535 01 56 25.619 +13 09 39.15 22.9G 15760 F51 C~3dfY 2014 09 29.539961 01 56 25.606 +13 09 39.02 23.8G 15760 F51 C~3dfY 2014 09 29.551401 01 56 25.538 +13 09 38.41 22.8G 15760 F51 C~3dfY 2014 09 29.562834 01 56 25.495 +13 09 38.57 23.5G 15760 F51 C~3dfY 2015 09 12.443879 02 02 57.700 +13 47 08.19 22.6G 15760 F51 C~3dfY 2015 09 12.454246 02 02 57.688 +13 47 07.97 23.2G 15760 F51 C~3dfY 2015 09 12.464664 02 02 57.651 +13 47 07.86 22.8G 15760 F51 C~3dfY 2015 09 12.475125 02 02 57.634 +13 47 07.60 23.1G 15760 F51 C~3dfY 2015 12 03.216113 01 57 05.088 +13 16 25.71 22.8G 15760 F51 C~3dfY 2015 12 04.251535 01 57 01.496 +13 16 05.03 22.7G 15760 F51 C~3dfY 2015 12 04.262162 01 57 01.437 +13 16 04.95 23.5G 15760 F51 C~3dfY 2015 12 04.272715 01 57 01.404 +13 16 05.00 24.0G 15760 F51 C~3dfY 2015 12 04.283372 01 57 01.318 +13 16 05.16 24.1G 15760 F51 C~3dfY 2016 10 29.301726 02 05 00.603 +14 01 44.94 23.3G 15760 F51 C~3dfY 2017 09 23.444150 02 13 11.908 +14 46 26.28 23.4G 15760 F51 C~3dfY 2017 09 23.466136 02 13 11.816 +14 46 25.60 22.9G 15760 F51 C~3dfY 2017 10 25.238883 02 10 50.26 +14 34 55.3 15760 W84 C~3dfY 2017 10 25.241788 02 10 50.25 +14 34 55.5 15760 W84 C~3dfY 2019 01 02.326373 02 12 02.905 +14 43 12.94 23.0G 15760 F51 C~3dfY 2019 01 02.337588 02 12 02.887 +14 43 12.62 23.4G 15760 F51 C~3dfY 2022 11 28.241290 02 35 50.239 +16 51 06.12 23.0G 15760 G37 C~67eO 2022 11 28.292160 02 35 50.019 +16 51 04.98 15760 G37 C~67eO 2022 11 28.341640 02 35 49.791 +16 51 03.88 15760 G37 C~67eO 2022 12 26.081540 02 34 10.291 +16 42 46.51 22.9G 15760 G37 C~69t4 2022 12 26.196470 02 34 09.995 +16 42 44.91 15760 G37 C~69t4
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.91 0.00 -0.76
2 0.0004 0.00 0.91 0.00 -0.83
3 0.0029 0.00 0.89 0.00 -0.71
4 0.0032 0.00 0.91 0.00 -0.88
5 0.0052 0.00 0.91 0.00 -0.66
6 0.0059 0.00 0.98 0.00 -0.81
7 0.0601 0.00 -0.18 0.00 0.45
8 0.0682 0.00 1.37 0.00 -0.07
9 0.0711 0.00 0.94 0.00 0.13
10 0.0711 0.00 1.11 0.00 0.01
11 0.0715 0.00 0.67 0.00 0.04
12 0.0757 0.00 -0.59 0.00 -0.39
13 0.0762 0.00 -0.82 0.00 -0.51
14 0.0764 0.00 0.81 0.00 0.04
15 0.1560 0.00 -0.29 0.00 -0.00
16 0.1565 0.00 -0.41 0.00 -0.94
17 0.1718 0.00 -0.97 0.00 -1.22
18 0.2100 0.00 -0.96 0.00 -0.71
19 0.2127 0.00 -0.88 0.00 -0.11
20 0.2259 0.00 0.30 0.00 -0.59
21 0.2287 0.00 0.81 0.00 -0.21
22 0.2316 0.00 -0.10 0.00 0.28
23 0.3193 0.00 0.34 0.00 0.33
24 0.8184 0.00 -0.42 0.00 1.86
25 0.8213 0.00 -0.17 0.00 0.92
26 0.8705 0.00 -0.33 0.00 1.02
27 0.8733 0.00 -0.31 0.00 0.87
28 0.8736 0.00 0.47 0.00 1.31
29 0.8737 0.00 0.57 0.00 1.26
30 0.8760 0.00 -0.42 0.00 0.84
31 1.0428 0.00 0.86 0.00 -1.24
32 1.0429 0.00 0.91 0.00 -1.24
33 1.0429 0.00 0.61 0.00 -0.86
34 1.0458 0.00 ( 0.24) 0.00 ( -2.89)
35 1.0472 0.00 0.19 0.00 -0.19
36 1.0475 0.00 0.53 0.00 0.00
37 1.0638 0.00 0.17 0.00 0.34
38 1.0642 0.00 0.48 0.00 -0.06
39 1.3737 0.00 0.39 0.00 -0.45
40 1.3738 0.00 0.40 0.00 -0.52
41 1.9405 0.00 -0.75 0.00 -0.31
42 1.9406 0.00 -0.32 0.00 0.06
43 1.9406 0.00 -0.27 0.00 -0.04
44 1.9406 0.00 -0.53 0.00 -0.01
45 1.9407 0.00 -0.49 0.00 0.10
46 1.9407 0.00 -0.86 0.00 0.22
47 1.9408 0.00 -0.67 0.00 -0.06
48 1.9408 0.00 -0.40 0.00 0.17
49 1.9410 0.00 -0.60 0.00 0.14
50 1.9410 0.00 -0.72 0.00 -0.11
51 1.9430 0.00 -0.43 0.00 0.12
52 1.9431 0.00 -0.30 0.00 -0.31
53 1.9435 0.00 -0.47 0.00 -0.15
54 2.1889 0.00 -0.22 0.00 0.03
55 2.1890 0.00 -0.29 0.00 0.07
56 2.1891 0.00 -0.16 0.00 -0.33
57 3.2684 0.00 0.37 0.00 0.24
58 3.3884 0.00 0.03 0.00 0.41
59 3.3884 0.00 0.52 0.00 1.53
60 3.3939 0.00 0.57 0.00 0.29
61 3.3939 0.00 -1.63 0.00 -1.19
62 3.3939 0.00 1.05 0.00 -0.60
63 3.3940 0.00 -2.03 0.00 0.26
64 3.3966 0.00 0.68 0.00 0.81
65 3.3966 0.00 -1.60 0.00 1.10
66 3.3967 0.00 -0.69 0.00 1.93
67 4.0356 0.00 -0.51 0.00 0.66
68 4.0357 0.00 -0.50 0.00 0.41
69 4.0453 0.00 0.05 0.00 0.61
70 4.0454 0.00 -0.29 0.00 0.22
71 4.0455 0.00 -0.32 0.00 0.34
72 5.0677 0.00 -1.18 0.00 0.20
73 5.0679 0.00 -1.22 0.00 -0.13
74 7.1130 0.00 0.63 0.00 0.06
75 7.1131 0.00 -0.14 0.00 -0.22
76 7.2489 0.00 1.03 0.00 -0.61
77 7.2517 0.00 0.78 0.00 -0.05
78 13.0727 0.00 0.11 0.00 -0.46
79 13.0727 0.00 0.02 0.00 -0.43
80 13.0727 0.00 0.04 0.00 -0.47
81 16.1612 0.00 0.24 0.00 -0.20
82 16.1612 0.00 0.29 0.00 -0.18
83 16.1613 0.00 0.17 0.00 -0.21
84 18.1164 0.00 0.16 0.00 0.15
85 21.0977 0.00 0.26 0.00 0.31
86 21.0978 0.00 -0.13 0.00 0.20
87 21.0979 0.00 -0.12 0.00 0.12
88 21.1005 0.00 0.01 0.00 0.45
89 22.0810 0.00 -0.12 0.00 0.13
90 22.0810 0.00 0.43 0.00 0.25
91 22.0810 0.00 0.16 0.00 -0.11
92 22.0810 0.00 0.25 0.00 0.30
93 23.0335 0.00 -0.28 0.00 -0.04
94 23.0335 0.00 0.06 0.00 -0.10
95 23.0335 0.00 0.02 0.00 -0.06
96 23.0336 0.00 0.28 0.00 -0.16
97 23.2574 0.00 0.18 0.00 0.07
98 23.2602 0.00 0.40 0.00 -0.31
99 23.2602 0.00 0.08 0.00 -0.19
100 23.2603 0.00 0.14 0.00 0.07
101 23.2603 0.00 -0.59 0.00 0.43
102 24.1638 0.00 0.08 0.00 0.10
103 25.0650 0.00 0.01 0.00 -0.04
104 25.0650 0.00 -0.09 0.00 -0.33
105 25.1520 0.00 -0.08 0.00 0.03
106 25.1520 0.00 -0.02 0.00 0.30
107 26.3405 0.00 0.02 0.00 0.13
108 26.3405 0.00 0.01 0.00 -0.08
109 30.2444 0.00 -0.18 0.00 -0.10
110 30.2446 0.00 -0.06 0.00 -0.16
111 30.2447 0.00 -0.16 0.00 -0.20
112 30.3207 0.00 -0.16 0.00 -0.25
113 30.3210 0.00 -0.02 0.00 -0.27
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
15760 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.318 44.318 44.318 ecceobj 0.077 0.077 0.077 incobj 2.182 2.182 2.182 qmin 39.975 39.975 39.975 qmax 48.265 48.265 48.265 amean 43.985 43.985 43.985 amin 43.634 43.634 43.634 amax 44.357 44.357 44.357 emean 0.071 0.071 0.071 emin 0.054 0.054 0.054 emax 0.088 0.088 0.088 imean 2.667 2.667 2.667 imin 1.846 1.846 1.846 imax 3.408 3.408 3.408 excite_mean 0.085 0.085 0.085 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 181.7 181.7 181.7 kozaiamp 180.0 180.0 180.0