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: 21DS15
# Created Sun Nov 24 02:11:06 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 41 observations of 41
# Arc: 18.37y
# First observation: 2005/09/06
# Last observation: 2024/01/19
# Chi-squared of fit: 21.10 DOF: 76 RMS: 0.13
# Min/Max residuals: -0.27 0.39
# Exact a, adot, b, bdot, g, gdot:
1.590063E-05 2.299794E-02 -1.094624E-06 -1.024710E-03 2.349628E-02 1.388834E-03
# Covariance matrix:
4.4306E-13 -6.5026E-14 -7.4987E-15 2.1326E-15 -2.5375E-14 -9.8019E-14
-6.5026E-14 2.4114E-14 3.4340E-15 -9.6522E-16 4.9360E-14 4.6572E-14
-7.4987E-15 3.4340E-15 2.8924E-13 -1.9115E-14 6.8097E-15 7.0740E-15
2.1326E-15 -9.6522E-16 -1.9115E-14 1.4468E-15 -1.8835E-15 -1.9898E-15
-2.5375E-14 4.9360E-14 6.8097E-15 -1.8835E-15 1.9898E-13 9.6865E-14
-9.8019E-14 4.6572E-14 7.0740E-15 -1.9898E-15 9.6865E-14 9.5722E-14
# lat0 lon0 xBary yBary zBary JD0
0.086656 96.049790 0.938428 -0.000461 0.377418 2453620.079511
# Heliocentric elements and errors
Epoch: 2453620.5000 = 2005/09/07
Mean Anomaly: 49.26789 +/- 0.049
Argument of Peri: 124.65773 +/- 0.054
Long of Asc Node: 276.74507 +/- 0.001
Inclination: 2.54856 +/- 0.000
Eccentricity: 0.04562290 +/- 0.0000
Semi-Major Axis: 43.43052804 +/- 0.0030
Time of Perihelion: 2439313.3699 +/- 14.2
Perihelion: 41.44910126 +/- 0.0031
Aphelion: 45.41195482 +/- 0.0034
Period (y) 286.2206 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -3.51733483 +/- 0.0001
Ecliptic Y 42.04491897 +/- 0.0008
Ecliptic Z 0.06432907 +/- 0.0000
Ecliptic XDOT -0.00268010 +/- 0.0000
Ecliptic YDOT -0.00012801 +/- 0.0000
Ecliptic ZDOT -0.00011914 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.19181218 +/- 0.0008
Geocenter to KBO 42.55990808 +/- 0.0008
# Hcoef: 5.95
The following table shows the complete astrometric record for 21DS15. 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 (21DS15) followed by the observatory code and reference code for the source of the astrometry.
2005 09 06.578768 06 26 22.47 +23 23 15.3 22.2V 21DS15 568 C~5bqD 2005 09 06.584417 06 26 22.49 +23 23 15.3 21DS15 568 C~5bqD 2005 09 06.590174 06 26 22.51 +23 23 15.3 21DS15 568 C~5bqD 2011 02 06.273638 06 48 28.30 +22 44 05.0 22.0r 21DS15 568 C~5bqD 2014 03 29.028760 07 03 47.77 +22 12 44.4 22.2r 21DS15 W84 C~5Jzg 2014 03 29.030844 07 03 47.77 +22 12 44.4 22.1r 21DS15 W84 C~5Jzg 2016 01 06.308092 07 19 43.59 +21 38 35.0 21DS15 568 C~5bqD 2016 01 06.335538 07 19 43.44 +21 38 35.4 21DS15 568 C~5bqD 2016 01 06.362377 07 19 43.30 +21 38 35.5 21DS15 568 C~5bqD 2016 01 06.494470 07 19 42.61 +21 38 36.7 21DS15 568 C~5bqD 2016 01 06.521425 07 19 42.48 +21 38 36.8 21DS15 568 C~5bqD 2016 01 06.548333 07 19 42.34 +21 38 37.0 21DS15 568 C~5bqD 2018 10 17.377068 07 40 18.39 +20 45 27.7 21.6z 21DS15 W84 C~5bqD 2019 02 06.181352 07 33 57.32 +20 58 18.3 22.7V 21DS15 W84 C~5Jzg 2019 02 06.183436 07 33 57.31 +20 58 18.4 22.7V 21DS15 W84 C~5Jzg 2019 03 01.151512 07 32 27.09 +21 01 40.8 22.3V 21DS15 W84 C~5bqD 2019 03 04.036685 07 32 18.40 +21 02 00.8 22.4g 21DS15 W84 C~5bqD 2019 03 05.035738 07 32 15.56 +21 02 07.3 23.0g 21DS15 W84 C~5Jzg 2019 03 05.037496 07 32 15.55 +21 02 07.3 22.9g 21DS15 W84 C~5Jzg 2020 02 26.060211 07 38 08.94 +20 45 13.8 22.8V 21DS15 W84 C~5Jzg 2020 02 26.062288 07 38 08.93 +20 45 13.8 22.9V 21DS15 W84 C~5Jzg 2021 02 17.22937 07 44 08.954 +20 27 15.12 22.5r 21DS15 568 C~5bqD 2021 02 17.40333 07 44 08.223 +20 27 16.95 22.5r 21DS15 568 C~5Jzg 2021 03 09.04612 07 43 01.719 +20 30 07.57 22.6G 21DS15 304 C~5bqD 2021 03 09.10083 07 43 01.573 +20 30 08.06 22.7G 21DS15 304 C~5bqD 2021 03 17.09506 07 42 43.460 +20 30 56.29 22.8r 21DS15 304 C~5Jzg 2021 03 18.00923 07 42 41.760 +20 31 01.06 22.8r 21DS15 304 C~5Jzg 2021 04 12.00354 07 42 26.345 +20 31 53.63 22.9r 21DS15 304 C~5Jzg 2021 12 02.28312 07 55 31.364 +19 54 53.40 22.5r 21DS15 304 C~5Jzg 2021 12 06.25187 07 55 18.023 +19 55 24.72 22.4r 21DS15 304 C~5Jzg 2023 01 13.357361 07 57 54.158 +19 44 07.04 21.8w 21DS15 F52 C~6BBn 2023 01 13.368948 07 57 54.112 +19 44 07.00 21.9w 21DS15 F52 C~6BBn 2023 01 13.380529 07 57 54.048 +19 44 07.20 21.9w 21DS15 F52 C~6BBn 2023 01 13.392206 07 57 53.992 +19 44 07.30 21.8w 21DS15 F52 C~6BBn 2024 01 10.73253 08 03 33.90 +19 24 28.9 22.4w 21DS15 O18 C~7gyj 2024 01 10.74120 08 03 33.85 +19 24 29.2 22.0w 21DS15 O18 C~7gyj 2024 01 10.74990 08 03 33.81 +19 24 29.1 22.5w 21DS15 O18 C~7gyj 2024 01 19.560215 08 02 49.461 +19 26 33.94 22.0w 21DS15 F52 C~7gyj 2024 01 19.572736 08 02 49.390 +19 26 33.90 21.9w 21DS15 F52 C~7gyj 2024 01 19.585236 08 02 49.343 +19 26 34.29 21.8w 21DS15 F52 C~7gyj 2024 01 19.597815 08 02 49.273 +19 26 34.58 21.9w 21DS15 F52 C~7gyj
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 -0.09 0.00 0.09
2 0.0000 0.00 -0.05 0.00 0.10
3 0.0000 0.00 -0.01 0.00 0.11
4 5.4174 0.00 0.19 0.00 -0.26
5 8.5570 0.00 0.20 0.00 -0.01
6 8.5570 0.00 0.20 0.00 -0.01
7 10.3319 0.00 -0.16 0.00 0.02
8 10.3320 0.00 -0.23 0.00 0.16
9 10.3321 0.00 -0.20 0.00 -0.00
10 10.3324 0.00 -0.03 0.00 -0.04
11 10.3325 0.00 0.16 0.00 -0.19
12 10.3326 0.00 0.20 0.00 -0.23
13 13.1110 0.00 0.03 0.00 -0.06
14 13.4171 0.00 -0.01 0.00 -0.06
15 13.4171 0.00 -0.02 0.00 0.02
16 13.4800 0.00 0.02 0.00 -0.06
17 13.4879 0.00 -0.19 0.00 0.07
18 13.4906 0.00 -0.08 0.00 0.04
19 13.4906 0.00 -0.16 0.00 0.02
20 14.4709 0.00 0.17 0.00 0.08
21 14.4709 0.00 0.13 0.00 0.06
22 15.4487 0.00 -0.16 0.00 -0.14
23 15.4492 0.00 -0.27 0.00 -0.11
24 15.5030 0.00 0.02 0.00 -0.11
25 15.5031 0.00 0.05 0.00 0.01
26 15.5250 0.00 0.08 0.00 -0.09
27 15.5275 0.00 0.01 0.00 0.02
28 15.5960 0.00 -0.15 0.00 -0.01
29 16.2374 0.00 0.06 0.00 0.09
30 16.2482 0.00 0.19 0.00 0.39
31 17.3519 0.00 -0.10 0.00 0.22
32 17.3519 0.00 0.10 0.00 0.02
33 17.3520 0.00 0.03 0.00 0.06
34 17.3520 0.00 0.09 0.00 -0.00
35 18.3440 0.00 -0.01 0.00 -0.13
36 18.3440 0.00 -0.10 0.00 0.05
37 18.3441 0.00 -0.04 0.00 -0.17
38 18.3682 0.00 0.04 0.00 0.03
39 18.3682 0.00 -0.06 0.00 -0.18
40 18.3683 0.00 0.19 0.00 0.03
41 18.3683 0.00 0.11 0.00 0.15
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.
21DS15 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.699 43.699 43.699 ecceobj 0.053 0.053 0.053 incobj 2.542 2.542 2.542 qmin 40.263 40.271 40.256 qmax 46.949 46.947 46.948 amean 43.484 43.484 43.484 amin 43.143 43.153 43.137 amax 43.843 43.843 43.845 emean 0.053 0.053 0.053 emin 0.034 0.034 0.034 emax 0.071 0.071 0.071 imean 4.282 4.282 4.282 imin 3.433 3.434 3.434 imax 5.078 5.077 5.079 excite_mean 0.092 0.092 0.092 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 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 188.7 188.8 188.7 kozaiamp 180.0 179.9 179.9