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: 00GM137 # Created Sun Dec 22 02:08:07 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 21.98y # First observation: 2000/04/02 # Last observation: 2022/03/25 # Chi-squared of fit: 110.58 DOF: 58 RMS: 0.33 # Min/Max residuals: -0.72 0.81 # Exact a, adot, b, bdot, g, gdot: 3.648534E-05 3.976470E-01 1.841252E-06 1.612950E-02 1.618207E-01 -4.615306E-02 # Covariance matrix: 1.7866E-13 -1.1506E-13 9.1401E-15 2.0799E-13 5.0234E-13 1.9014E-12 -1.1506E-13 2.7688E-11 1.6238E-13 4.6286E-12 9.5780E-12 2.9502E-11 9.1401E-15 1.6238E-13 1.5122E-13 -7.7073E-13 1.8375E-13 1.6477E-12 2.0799E-13 4.6286E-12 -7.7073E-13 1.8707E-11 1.9052E-12 -2.2359E-11 5.0234E-13 9.5780E-12 1.8375E-13 1.9052E-12 8.5058E-12 4.8660E-11 1.9014E-12 2.9502E-11 1.6477E-12 -2.2359E-11 4.8660E-11 6.1711E-10 # lat0 lon0 xBary yBary zBary JD0 18.199678 172.328664 -0.355925 0.294010 -0.894926 2451636.866693 # Heliocentric elements and errors Epoch: 2451636.5000 = 2000/04/02 Mean Anomaly: 329.69738 +/- 0.001 Argument of Peri: 123.78151 +/- 0.023 Long of Asc Node: 89.74494 +/- 0.032 Inclination: 15.85742 +/- 0.068 Eccentricity: 0.11799888 +/- 0.0000 Semi-Major Axis: 7.85089079 +/- 0.0000 Time of Perihelion: 2452312.8236 +/- 0.0 Perihelion: 6.92449449 +/- 0.0000 Aphelion: 8.77728710 +/- 0.0000 Period (y) 21.9982 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -6.79247757 +/- 0.0000 Ecliptic Y 0.55988649 +/- 0.0000 Ecliptic Z 1.93012043 +/- 0.0000 Ecliptic XDOT -0.00008462 +/- 0.0000 Ecliptic YDOT -0.00677128 +/- 0.0000 Ecliptic ZDOT 0.00001548 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 7.08355927 +/- 0.0000 Geocenter to KBO 6.17975194 +/- 0.0000 # Hcoef: 14.28
The following table shows the complete astrometric record for 00GM137. 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 (00GM137) followed by the observatory code and reference code for the source of the astrometry.
2000 04 02.36595 12 01 55.23 +19 41 39.1 22.2R 00GM137 568 Cb2876 2000 04 02.36955 12 01 55.13 +19 41 39.5 22.9R 00GM137 568 Cb2876 2000 04 02.40443 12 01 54.37 +19 41 42.1 22.1R 00GM137 568 Cb2876 2000 04 02.40769 12 01 54.27 +19 41 42.9 22.8R 00GM137 568 Cb2876 2000 04 02.44922 12 01 53.35 +19 41 46.5 22.1R 00GM137 568 Cb2876 2000 04 02.45259 12 01 53.26 +19 41 46.9 22.8R 00GM137 568 Cb2876 2000 04 04.42535 12 01 10.44 +19 44 27.5 22.8R 00GM137 568 Cb2876 2000 04 04.43001 12 01 10.33 +19 44 27.9 22.8R 00GM137 568 Cb2876 2000 04 13.42193 11 58 06.30 +19 52 54.6 22.9R 00GM137 568 Cb2876 2000 04 13.42891 11 58 06.14 +19 52 54.9 22.9R 00GM137 568 Cb2876 2000 05 07.25839 11 52 15.00 +19 45 00.8 22.9R 00GM137 568 Cb5784 2000 05 07.30582 11 52 14.54 +19 44 57.1 22.9R 00GM137 568 Cb5784 2000 05 27.17961 11 50 47.81 +19 07 04.6 22.6R 00GM137 695 Cb5784 2000 05 27.22622 11 50 47.81 +19 06 56.9 22.9R 00GM137 695 Cb5784 2000 05 27.26490 11 50 47.84 +19 06 51.1 22.8R 00GM137 695 Cb5784 2000 07 01.28096 11 56 26.493 +17 09 04.41 23.4R 00GM137 568 Cb6998 2000 07 01.28578 11 56 26.568 +17 09 03.50 23.3R 00GM137 568 Cb6998 2000 07 01.31640 11 56 27.104 +17 08 55.93 23.2R 00GM137 568 Cb6998 2001 02 17.16230 13 41 04.44 +07 44 56.0 22.0R 00GM137 950 Cc6646 2001 02 17.20023 13 41 04.24 +07 45 01.6 21.7R 00GM137 950 Cc6646 2001 02 17.24571 13 41 04.00 +07 45 08.4 22.3R 00GM137 950 Cc6646 2001 02 19.15636 13 40 53.73 +07 49 53.0 21.9R 00GM137 950 Cc6646 2001 02 19.22129 13 40 53.30 +07 50 02.7 00GM137 950 Cc6646 2002 02 13.57343 14 59 09.944 -02 48 45.68 00GM137 568 Ce8756 2002 02 13.58152 14 59 10.034 -02 48 45.10 22.6R 00GM137 568 Ce8756 2002 02 14.59359 14 59 18.227 -02 47 54.05 00GM137 568 Ce8756 2002 02 14.62624 14 59 18.460 -02 47 52.70 22.9R 00GM137 568 Ce8756 2014 10 22.35967 03 56 29.81 +10 13 13.5 23.3R 00GM137 G37 C~1Bx9 2014 10 22.45255 03 56 28.23 +10 13 08.1 00GM137 G37 C~1Bx9 2022 03 25.372894 11 56 10.94 +20 19 29.9 22.5G 00GM137 V00 C~5V7b 2022 03 25.377749 11 56 10.85 +20 19 30.4 22.1G 00GM137 V00 C~5V7b 2022 03 25.382605 11 56 10.73 +20 19 31.1 22.8G 00GM137 V00 C~5V7b
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 0.45 0.00 -0.25
2 0.0000 0.00 0.16 0.00 -0.17
3 0.0001 0.00 0.52 0.00 -0.58
4 0.0001 0.00 0.12 0.00 -0.06
5 0.0002 0.00 0.32 0.00 -0.00
6 0.0002 0.00 0.10 0.00 0.11
7 0.0056 0.00 -0.10 0.00 0.16
8 0.0057 0.00 -0.20 0.00 0.20
9 0.0303 0.00 0.81 0.00 -0.49
10 0.0303 0.00 0.49 0.00 -0.43
11 0.0955 0.00 -0.52 0.00 -0.52
12 0.0957 0.00 -0.30 0.00 -0.72
13 0.1501 0.00 -0.23 0.00 0.77
14 0.1502 0.00 -0.50 0.00 0.19
15 0.1503 0.00 -0.33 0.00 0.32
16 0.2462 0.00 0.05 0.00 0.22
17 0.2462 0.00 -0.10 0.00 0.48
18 0.2463 0.00 -0.14 0.00 0.37
19 0.8783 0.00 -0.29 0.00 0.22
20 0.8784 0.00 -0.24 0.00 0.24
21 0.8785 0.00 -0.17 0.00 0.35
22 0.8838 0.00 -0.03 0.00 0.51
23 0.8839 0.00 -0.20 0.00 0.42
24 1.8678 0.00 0.11 0.00 -0.36
25 1.8678 0.00 0.50 0.00 -0.17
26 1.8706 0.00 0.04 0.00 -0.03
27 1.8707 0.00 -0.05 0.00 -0.36
28 14.5544 0.00 -0.16 0.00 0.06
29 14.5547 0.00 0.02 0.00 -0.01
30 21.9767 0.00 -0.20 0.00 -0.10
31 21.9768 0.00 0.14 0.00 -0.16
32 21.9768 0.00 0.03 0.00 -0.01
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.
00GM137 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 7.849 7.849 7.849 ecceobj 0.118 0.118 0.118 incobj 15.858 15.858 15.858 qmin 5.869 5.873 2.532 qmax 10.523 9.171 12.661 amean 7.656 7.496 7.588 amin 7.248 7.296 3.879 amax 8.471 7.849 9.263 emean 0.150 0.121 0.157 emin 0.037 0.036 0.037 emax 0.242 0.219 0.367 imean 14.513 14.533 12.543 imin 13.779 14.363 8.021 imax 15.159 14.788 14.828 excite_mean 0.298 0.284 0.276 fracstop 0.001 0.000 0.004 cjmean 4.906 4.977 4.985 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 211.5 183.5 179.8 kozaiamp 140.0 155.0 172.2