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: 12PD26
# Created Fri Nov 22 02:09:18 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 25 observations of 25
# Arc: 5.11y
# First observation: 2012/08/13
# Last observation: 2017/09/23
# Chi-squared of fit: 58.45 DOF: 44 RMS: 0.27
# Min/Max residuals: -0.46 1.25
# Exact a, adot, b, bdot, g, gdot:
3.454906E-05 2.194560E-01 -2.567841E-06 -1.885538E-02 9.958265E-02 5.872266E-02
# Covariance matrix:
1.3878E-13 2.0271E-13 2.5497E-15 -1.0616E-14 3.6699E-13 1.7546E-13
2.0271E-13 2.0228E-12 2.3049E-14 -1.0973E-13 2.5198E-12 1.7138E-12
2.5497E-15 2.3049E-14 9.4331E-14 -3.0356E-14 2.8684E-14 2.0108E-14
-1.0616E-14 -1.0973E-13 -3.0356E-14 4.5036E-14 -1.3029E-13 -9.7865E-14
3.6699E-13 2.5198E-12 2.8684E-14 -1.3029E-13 3.4993E-12 2.0746E-12
1.7546E-13 1.7138E-12 2.0108E-14 -9.7865E-14 2.0746E-12 1.5149E-12
# lat0 lon0 xBary yBary zBary JD0
6.798722 -22.859883 0.286479 0.114987 -0.964663 2456152.918268
# Heliocentric elements and errors
Epoch: 2456152.5000 = 2012/08/13
Mean Anomaly: 12.28498 +/- 0.002
Argument of Peri: 85.29250 +/- 0.003
Long of Asc Node: 209.24574 +/- 0.000
Inclination: 7.68463 +/- 0.000
Eccentricity: 0.50522703 +/- 0.0001
Semi-Major Axis: 20.43502504 +/- 0.0034
Time of Perihelion: 2455001.0815 +/- 0.4
Perihelion: 10.11069812 +/- 0.0021
Aphelion: 30.75935196 +/- 0.0053
Period (y) 92.3785 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.97428439 +/- 0.0002
Ecliptic Y -4.51253864 +/- 0.0001
Ecliptic Z 1.18879799 +/- 0.0000
Ecliptic XDOT 0.00387206 +/- 0.0000
Ecliptic YDOT 0.00491587 +/- 0.0000
Ecliptic ZDOT -0.00032350 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 11.01184624 +/- 0.0002
Geocenter to KBO 10.04185087 +/- 0.0002
# Hcoef: 11.13
The following table shows the complete astrometric record for 12PD26. 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 (12PD26) followed by the observatory code and reference code for the source of the astrometry.
2012 08 13.41749 22 25 20.087 -02 34 09.58 21.9w 12PD26 F51 c~0iGq 2012 08 13.43199 22 25 19.875 -02 34 10.76 22.0w 12PD26 F51 c~0iGq 2012 08 13.46127 22 25 19.488 -02 34 12.88 21.9w 12PD26 F51 c~0iGq 2012 08 14.762529 22 25 02.24 -02 35 53.8 21.1R 12PD26 E10 C~0iGq 2012 08 14.765319 22 25 02.18 -02 35 54.3 21.4R 12PD26 E10 C~0iGq 2012 08 14.768070 22 25 02.15 -02 35 54.5 21.2R 12PD26 E10 C~0iGq 2012 08 16.273992 22 24 42.09 -02 37 55.6 21.5V 12PD26 H21 C~0iGq 2012 08 16.284939 22 24 41.90 -02 37 56.8 21.7V 12PD26 H21 C~0iGq 2012 08 16.303791 22 24 41.65 -02 37 58.0 21.5V 12PD26 H21 C~0iGq 2012 08 16.436756 22 24 39.899 -02 38 08.50 20.8R 12PD26 568 C~0iGq 2012 08 16.438705 22 24 39.870 -02 38 08.63 21.0R 12PD26 568 C~0iGq 2012 08 16.440653 22 24 39.846 -02 38 08.78 21.1R 12PD26 568 C~0iGq 2012 09 11.52665 22 18 46.58 -03 17 47.1 20.8R 12PD26 E10 C~0ia7 2012 09 11.53961 22 18 46.43 -03 17 48.3 21.1R 12PD26 E10 C~0ia7 2012 09 11.55581 22 18 46.19 -03 17 49.9 20.9R 12PD26 E10 C~0ia7 2013 09 02.95197 23 06 41.38 +00 24 51.0 21.7R 12PD26 493 C~1C6T 2013 09 02.97107 23 06 41.13 +00 24 49.4 21.4R 12PD26 493 C~1C6T 2013 09 02.99000 23 06 40.89 +00 24 48.6 21.7R 12PD26 493 C~1C6T 2014 10 26.18157 23 37 04.68 +02 08 12.3 21.1R 12PD26 G37 C~1C6T 2014 10 26.19796 23 37 04.54 +02 08 11.0 21.7R 12PD26 G37 C~1C6T 2014 10 26.23866 23 37 04.19 +02 08 07.8 21.8R 12PD26 G37 C~1C6T 2014 10 28.14234 23 36 48.88 +02 05 36.4 21.6R 12PD26 G37 C~1C6T 2014 10 28.14640 23 36 48.84 +02 05 36.1 21.7R 12PD26 G37 C~1C6T 2017 09 23.35419 01 19 40.78 +09 43 55.7 22.9R 12PD26 G37 C~2LS3 2017 09 23.44105 01 19 39.86 +09 43 50.3 12PD26 G37 C~2LS3
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 -0.06
2 0.0000 0.00 -0.15 0.00 -0.12
3 0.0001 0.00 -0.03 0.00 0.03
4 0.0037 0.00 0.20 0.00 0.01
5 0.0037 0.00 -0.13 0.00 -0.27
6 0.0037 0.00 -0.03 0.00 -0.25
7 0.0078 0.00 0.15 0.00 -0.06
8 0.0079 0.00 -0.46 0.00 -0.37
9 0.0079 0.00 -0.33 0.00 -0.05
10 0.0083 0.00 -0.08 0.00 -0.05
11 0.0083 0.00 -0.11 0.00 -0.02
12 0.0083 0.00 -0.07 0.00 -0.01
13 0.0797 0.00 0.23 0.00 0.10
14 0.0797 0.00 0.53 0.00 0.15
15 0.0798 0.00 0.13 0.00 0.11
16 1.0555 0.00 -0.06 0.00 0.16
17 1.0556 0.00 0.04 0.00 0.31
18 1.0556 0.00 0.25 0.00 1.25
19 2.2006 0.00 -0.09 0.00 -0.23
20 2.2006 0.00 -0.09 0.00 -0.21
21 2.2007 0.00 -0.12 0.00 -0.13
22 2.2060 0.00 0.10 0.00 -0.21
23 2.2060 0.00 -0.01 0.00 -0.20
24 5.1114 0.00 -0.18 0.00 -0.39
25 5.1116 0.00 0.24 0.00 0.43
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.
12PD26 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 20.257 20.257 20.257 ecceobj 0.503 0.503 0.503 incobj 7.708 7.708 7.708 qmin 9.118 9.950 9.999 qmax 33.311 32.728 30.605 amean 19.688 19.803 20.301 amin 17.941 17.789 20.257 amax 21.585 21.494 20.350 emean 0.506 0.479 0.505 emin 0.469 0.426 0.503 emax 0.543 0.524 0.507 imean 8.829 10.020 7.866 imin 6.860 7.592 7.643 imax 10.965 12.359 8.173 excite_mean 0.529 0.510 0.523 fracstop 0.004 0.005 0.000 cjmean 2.911 2.925 2.889 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 186.9 198.4 94.8 kozaiamp 111.7 120.7 10.1