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: 12GM12 # Created Sun Dec 22 02:09:20 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 13.11y # First observation: 2002/03/12 # Last observation: 2015/04/22 # Chi-squared of fit: 34.28 DOF: 56 RMS: 0.19 # Min/Max residuals: -0.40 0.47 # Exact a, adot, b, bdot, g, gdot: 2.525511E-05 1.007157E-01 -3.930303E-06 -1.466764E-02 6.175994E-02 -1.470897E-03 # Covariance matrix: 3.5343E-07 1.0906E-04 -7.8478E-08 2.3187E-05 -5.6118E-06 1.4487E-04 1.0906E-04 5.6046E-02 -2.4259E-05 1.1902E-02 -1.7332E-03 7.4372E-02 -7.8478E-08 -2.4259E-05 1.7426E-08 -5.1579E-06 1.2461E-06 -3.2226E-05 2.3187E-05 1.1902E-02 -5.1579E-06 2.5279E-03 -3.6850E-04 1.5794E-02 -5.6118E-06 -1.7332E-03 1.2461E-06 -3.6850E-04 8.9105E-05 -2.3024E-03 1.4487E-04 7.4372E-02 -3.2226E-05 1.5794E-02 -2.3024E-03 9.8692E-02 # lat0 lon0 xBary yBary zBary JD0 -9.858053 134.910295 -0.595065 -0.136350 -0.784191 2452345.660253 # Heliocentric elements and errors Epoch: 2452346.5000 = 2002/03/13 Mean Anomaly: 5.38976 +/- 0.002 Argument of Peri: 222.43373 +/- 0.000 Long of Asc Node: 267.39794 +/- 0.000 Inclination: 12.26460 +/- 0.017 Eccentricity: 0.17350324 +/- 0.0000 Semi-Major Axis: 20.52884186 +/- 0.0000 Time of Perihelion: 2451837.8578 +/- 0.2 Perihelion: 16.96702126 +/- 0.0000 Aphelion: 24.09066247 +/- 0.0000 Period (y) 93.0154 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -12.24527137 +/- 0.0000 Ecliptic Y 11.44671586 +/- 0.0000 Ecliptic Z -2.77220274 +/- 0.0000 Ecliptic XDOT -0.00304650 +/- 0.0000 Ecliptic YDOT -0.00327753 +/- 0.0000 Ecliptic ZDOT -0.00062924 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 16.98996170 +/- 0.0000 Geocenter to KBO 16.19177585 +/- 0.0000 # Hcoef: 9.28
The following table shows the complete astrometric record for 12GM12. 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 (12GM12) followed by the observatory code and reference code for the source of the astrometry.
2002 03 12.159510 08 57 55.54 +06 55 09.5 21.8r 12GM12 645 C~4qH5 2002 03 12.160339 08 57 55.54 +06 55 09.6 21.6i 12GM12 645 C~4qH5 2002 03 12.161998 08 57 55.50 +06 55 09.4 21.6z 12GM12 645 C~4qH5 2002 03 12.162827 08 57 55.49 +06 55 09.7 22.9g 12GM12 645 C~4qH5 2010 03 12.42680 11 42 21.75 -12 14 40.3 12GM12 F51 C~4qH5 2010 03 12.43557 11 42 21.68 -12 14 39.4 12GM12 F51 C~4qH5 2011 03 25.35627 12 00 04.33 -14 03 05.9 21.4r 12GM12 F51 C~4qH5 2011 03 25.36690 12 00 04.22 -14 03 05.5 21.6r 12GM12 F51 C~4qH5 2011 03 25.37900 12 00 04.09 -14 03 04.7 21.6i 12GM12 F51 C~4qH5 2012 03 16.50577 12 21 04.32 -16 03 40.6 21.7r 12GM12 F51 C~4qH5 2012 03 16.51773 12 21 04.22 -16 03 40.1 21.9i 12GM12 F51 C~4qH5 2012 03 16.53047 12 21 04.09 -16 03 39.3 21.6i 12GM12 F51 C~4qH5 2012 04 02.43095 12 18 18.53 -15 46 55.6 21.2i 12GM12 F51 C~4qH5 2012 04 02.44300 12 18 18.40 -15 46 55.0 21.5i 12GM12 F51 C~4qH5 2012 04 13.36633 12 16 35.278 -15 34 17.54 21.9w 12GM12 F51 C~0frg 2012 04 13.37956 12 16 35.163 -15 34 16.98 22.1w 12GM12 F51 C~0frg 2012 04 13.39281 12 16 35.021 -15 34 16.06 22.2w 12GM12 F51 C~0frg 2012 04 17.28677 12 16 00.24 -15 29 34.3 21.4R 12GM12 291 C~0frg 2012 04 17.30458 12 16 00.07 -15 29 32.8 21.2R 12GM12 291 C~0frg 2012 04 17.32238 12 15 59.94 -15 29 31.7 21.5R 12GM12 291 C~0frg 2015 04 18.177199 13 14 10.42 -20 18 32.8 12GM12 W84 C~4qH5 2015 04 18.180428 13 14 10.39 -20 18 32.6 12GM12 W84 C~4qH5 2015 04 18.183692 13 14 10.35 -20 18 32.3 12GM12 W84 C~4qH5 2015 04 18.186910 13 14 10.33 -20 18 32.2 12GM12 W84 C~4qH5 2015 04 18.190162 13 14 10.29 -20 18 31.8 12GM12 W84 C~4qH5 2015 04 19.166343 13 14 00.85 -20 17 30.0 12GM12 W84 C~4qH5 2015 04 19.179282 13 14 00.72 -20 17 29.1 12GM12 W84 C~4qH5 2015 04 21.169479 13 13 41.57 -20 15 21.0 12GM12 W84 C~4qH5 2015 04 21.182396 13 13 41.43 -20 15 20.0 12GM12 W84 C~4qH5 2015 04 22.168287 13 13 32.02 -20 14 15.9 12GM12 W84 C~4qH5 2015 04 22.181262 13 13 31.88 -20 14 14.9 12GM12 W84 C~4qH5
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 0.12 0.00 0.00
2 0.0000 0.00 0.21 0.00 0.06
3 0.0000 0.00 -0.19 0.00 -0.22
4 0.0000 0.00 -0.24 0.00 0.04
5 8.0007 0.00 0.12 0.00 -0.40
6 8.0008 0.00 0.40 0.00 0.00
7 9.0354 0.00 -0.10 0.00 0.45
8 9.0355 0.00 -0.15 0.00 0.17
9 9.0355 0.00 -0.27 0.00 0.21
10 10.0133 0.00 -0.32 0.00 -0.05
11 10.0133 0.00 -0.05 0.00 -0.16
12 10.0133 0.00 -0.11 0.00 -0.02
13 10.0596 0.00 -0.17 0.00 0.34
14 10.0596 0.00 -0.33 0.00 0.14
15 10.0895 0.00 0.15 0.00 0.26
16 10.0896 0.00 0.27 0.00 -0.13
17 10.0896 0.00 -0.01 0.00 -0.16
18 10.1003 0.00 0.20 0.00 -0.17
19 10.1003 0.00 0.04 0.00 0.03
20 10.1004 0.00 0.47 0.00 -0.17
21 13.1007 0.00 -0.10 0.00 -0.05
22 13.1007 0.00 -0.07 0.00 -0.06
23 13.1007 0.00 -0.19 0.00 0.04
24 13.1007 0.00 -0.01 0.00 -0.07
25 13.1007 0.00 -0.13 0.00 0.13
26 13.1034 0.00 0.05 0.00 -0.13
27 13.1034 0.00 0.01 0.00 -0.06
28 13.1089 0.00 0.19 0.00 -0.12
29 13.1089 0.00 -0.01 0.00 0.04
30 13.1116 0.00 0.21 0.00 -0.11
31 13.1116 0.00 0.00 0.00 0.04
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.
12GM12 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 20.432 20.432 20.432 ecceobj 0.170 0.170 0.170 incobj 12.271 12.271 12.271 qmin 16.966 16.966 16.966 qmax 23.948 23.948 23.948 amean 20.426 20.367 20.467 amin 20.089 19.596 19.758 amax 20.787 20.743 21.355 emean 0.122 0.114 0.087 emin 0.073 0.036 0.030 emax 0.170 0.170 0.170 imean 14.141 14.320 14.536 imin 13.753 13.753 13.753 imax 14.797 15.262 15.093 excite_mean 0.274 0.275 0.268 fracstop 0.005 0.005 0.013 cjmean 3.062 3.064 3.064 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 229.7 232.8 226.3 kozaiamp 18.4 19.9 36.5