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: 02GC32
# Created Sat Apr 20 01:10:44 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 4.36d
# First observation: 2002/04/07
# Last observation: 2002/04/11
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 161.20 DOF: 12 RMS: 0.79
# Min/Max residuals: -0.77 2.66
# Exact a, adot, b, bdot, g, gdot:
1.379643E-05 2.315256E-02 -2.285068E-06 -5.872548E-04 2.453761E-02 0.000000E+00
# Covariance matrix:
3.6883E-11 5.6467E-08 -1.6538E-13 -1.7983E-10 9.0655E-09 0.0000E+00
5.6467E-08 8.7830E-05 -2.5700E-10 -2.7945E-07 1.4088E-05 0.0000E+00
-1.6538E-13 -2.5700E-10 5.1618E-13 -4.6611E-11 -4.1225E-11 0.0000E+00
-1.7983E-10 -2.7945E-07 -4.6611E-11 7.6677E-09 -4.4826E-08 0.0000E+00
9.0655E-09 1.4088E-05 -4.1225E-11 -4.4826E-08 2.2598E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.9441E-04
# lat0 lon0 xBary yBary zBary JD0
1.900028 -155.136149 0.130007 0.032940 -0.994329 2452371.657443
# Heliocentric elements and errors
Epoch: 2452370.5000 = 2002/04/06
Mean Anomaly: 180.02446 +/- 200.180
Argument of Peri: 307.96553 +/- 184.393
Long of Asc Node: 76.66480 +/- 10.610
Inclination: 2.35366 +/- 0.344
Eccentricity: 0.05958934 +/- 0.5900
Semi-Major Axis: 39.39767298 +/- 19.5816
Time of Perihelion: 2497526.4790 +/- 136458.1
Perihelion: 37.04999149 +/- 29.6553
Aphelion: 41.74535447 +/- 31.1582
Period (y) 247.2943 +/- 184.37
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.91231817 +/- 2.2642
Ecliptic Y -17.42140149 +/- 1.0490
Ecliptic Z 1.35110975 +/- 0.0828
Ecliptic XDOT 0.00107585 +/- 0.0015
Ecliptic YDOT -0.00234614 +/- 0.0010
Ecliptic ZDOT -0.00006527 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 41.74535420 +/- 2.1023
Geocenter to KBO 40.75377264 +/- 2.4967
# Hcoef: 7.24
The following table shows the complete astrometric record for 02GC32. 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 (02GC32) followed by the observatory code and reference code for the source of the astrometry.
2002 04 07.15670 13 34 56.67 -07 51 33.1 22.9R 02GC32 807 Cf5154 2002 04 07.22085 13 34 56.35 -07 51 31.8 02GC32 807 Cf5154 2002 04 08.19253 13 34 51.87 -07 51 06.0 02GC32 807 Cf5154 2002 04 11.29021 13 34 37.63 -07 49 43.6 22.9R 02GC32 695 Cg5851 2002 04 11.37102 13 34 37.30 -07 49 38.3 02GC32 695 Cg5851 2002 04 11.37403 13 34 37.28 -07 49 41.6 23.3R 02GC32 568 Cf5154 2002 04 11.45556 13 34 36.88 -07 49 39.5 02GC32 568 Cf5154 2002 04 11.51751 13 34 36.61 -07 49 37.8 02GC32 568 Cf5154
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 0.23 0.00 0.39
2 0.0002 -4.90 0.08 -0.52 -0.11
3 0.0028 -76.30 -0.37 -0.75 -0.42
4 0.0113 -303.38 -0.20 -1.13 -0.53
5 0.0115 -309.87 -0.67 2.01 2.66
6 0.0115 -308.95 0.36 -1.17 -0.61
7 0.0118 -315.25 0.16 -1.38 -0.77
8 0.0119 -319.61 0.43 -1.26 -0.62
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.
02GC32 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0