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: 04PD112 # Created Sun Dec 22 02:08:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 19.06y # First observation: 2004/08/13 # Last observation: 2023/09/06 # Chi-squared of fit: 73.91 DOF: 34 RMS: 0.34 # Min/Max residuals: -0.79 0.73 # Exact a, adot, b, bdot, g, gdot: 1.097170E-05 1.424310E-02 -1.264371E-06 1.742668E-03 1.861524E-02 -1.072764E-03 # Covariance matrix: 2.7055E-13 -5.0688E-14 7.3089E-15 -5.0977E-15 2.1638E-13 -1.4538E-13 -5.0688E-14 2.8242E-14 -4.8411E-15 3.3172E-15 -5.9402E-15 9.3803E-14 7.3089E-15 -4.8411E-15 1.1374E-13 -8.7539E-15 1.0897E-16 -1.7067E-14 -5.0977E-15 3.3172E-15 -8.7539E-15 2.0155E-15 -2.8091E-16 1.1690E-14 2.1638E-13 -5.9402E-15 1.0897E-16 -2.8091E-16 4.7813E-13 -1.0769E-14 -1.4538E-13 9.3803E-14 -1.7067E-14 1.1690E-14 -1.0769E-14 3.3051E-13 # lat0 lon0 xBary yBary zBary JD0 -3.500284 -13.115475 0.447394 -0.055676 -0.911792 2453230.682373 # Heliocentric elements and errors Epoch: 2453230.5000 = 2004/08/13 Mean Anomaly: 209.20696 +/- 0.031 Argument of Peri: 133.46993 +/- 0.013 Long of Asc Node: 12.52941 +/- 0.000 Inclination: 7.78119 +/- 0.000 Eccentricity: 0.19647091 +/- 0.0001 Semi-Major Axis: 46.34531847 +/- 0.0053 Time of Perihelion: 2501501.4696 +/- 15.2 Perihelion: 37.23981143 +/- 0.0059 Aphelion: 55.45082552 +/- 0.0076 Period (y) 315.5128 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 53.00470234 +/- 0.0019 Ecliptic Y -12.80809833 +/- 0.0005 Ecliptic Z -3.27983197 +/- 0.0001 Ecliptic XDOT 0.00033527 +/- 0.0000 Ecliptic YDOT 0.00206536 +/- 0.0000 Ecliptic ZDOT 0.00026557 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 54.62882997 +/- 0.0019 Geocenter to KBO 53.71950521 +/- 0.0020 # Hcoef: 6.23
The following table shows the complete astrometric record for 04PD112. 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 (04PD112) followed by the observatory code and reference code for the source of the astrometry.
2004 08 13.18163 23 17 14.24 -08 24 05.3 22.5R 04PD112 807 Cl4405 2004 08 13.28838 23 17 13.89 -08 24 07.7 04PD112 807 Cl4405 2004 09 11.24828 23 15 33.93 -08 34 32.6 04PD112 304 Cl4405 2004 09 11.26753 23 15 33.88 -08 34 32.2 04PD112 304 Cl4405 2004 10 12.17265 23 13 49.01 -08 44 16.8 23.5R 04PD112 695 Cl8416 2004 10 12.28189 23 13 48.64 -08 44 18.5 04PD112 695 Cl8416 2005 08 08.157574 23 20 22.24 -07 57 39.1 23.1r 04PD112 807 C~5RlF 2005 08 08.291241 23 20 21.84 -07 57 41.4 23.6r 04PD112 807 C~5RlF 2005 08 09.161898 23 20 19.27 -07 57 58.5 04PD112 807 C~5RlF 2005 11 02.219471 23 15 47.95 -08 23 56.4 04PD112 695 C~5RlF 2007 09 16.356263 23 23 56.60 -07 21 34.7 04PD112 568 C~5RlF 2007 09 18.459683 23 23 49.03 -07 22 19.5 04PD112 568 C~5RlF 2007 09 18.502305 23 23 48.87 -07 22 20.4 24.0g 04PD112 568 C~5RlF 2007 10 13.292905 23 22 24.90 -07 30 14.6 24.3g 04PD112 568 C~5RlF 2011 08 05.520612 23 37 48.95 -05 25 26.3 23.6r 04PD112 568 C~5RlF 2011 09 03.511580 23 36 18.83 -05 35 16.6 24.2g 04PD112 568 C~5RlF 2011 09 03.516383 23 36 18.80 -05 35 16.8 24.1g 04PD112 568 C~5RlF 2023 09 06.396380 00 11 28.082 -00 19 57.00 23.3G 04PD112 G37 C~7APT 2023 09 06.435850 00 11 27.939 -00 19 57.94 04PD112 G37 C~7APT 2023 09 06.472990 00 11 27.800 -00 19 58.70 04PD112 G37 C~7APT
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 -0.01 0.00 0.61
2 0.0003 0.00 -0.15 0.00 0.41
3 0.0796 0.00 -0.06 0.00 -0.79
4 0.0796 0.00 0.25 0.00 0.02
5 0.1642 0.00 0.31 0.00 0.31
6 0.1645 0.00 -0.25 0.00 0.28
7 0.9856 0.00 0.24 0.00 -0.51
8 0.9859 0.00 0.19 0.00 -0.18
9 0.9883 0.00 -0.14 0.00 -0.14
10 1.2212 0.00 0.49 0.00 0.02
11 3.0915 0.00 -0.05 0.00 -0.37
12 3.0973 0.00 -0.04 0.00 -0.23
13 3.0974 0.00 -0.10 0.00 -0.22
14 3.1653 0.00 -0.53 0.00 -0.60
15 6.9770 0.00 -0.33 0.00 0.45
16 7.0563 0.00 0.13 0.00 0.73
17 7.0564 0.00 -0.06 0.00 0.63
18 19.0642 0.00 0.16 0.00 -0.09
19 19.0644 0.00 0.07 0.00 -0.18
20 19.0645 0.00 -0.09 0.00 -0.14
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.
04PD112 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 46.763 46.763 46.763 ecceobj 0.188 0.188 0.188 incobj 7.733 7.733 7.733 qmin 36.696 36.692 36.663 qmax 57.041 56.977 57.006 amean 46.602 46.591 46.591 amin 46.165 46.170 46.152 amax 47.144 47.120 47.097 emean 0.196 0.196 0.196 emin 0.181 0.181 0.181 emax 0.210 0.211 0.210 imean 7.663 7.658 7.657 imin 6.879 6.881 6.880 imax 8.382 8.371 8.352 excite_mean 0.237 0.237 0.237 fracstop 1.000 1.000 1.000 cjmean 3.064 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 182.6 182.6 182.6 kozaiamp 180.0 180.0 179.9