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: 02GN32 # Created Wed Apr 24 01:10:42 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 66.06d # First observation: 2002/04/06 # Last observation: 2002/06/11 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.064036 0.000000 -0.006838 0.036436 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 21.98 DOF: 11 RMS: 0.29 # Min/Max residuals: -0.73 0.74 # Exact a, adot, b, bdot, g, gdot: 1.512949E-05 3.044109E-02 -4.152932E-06 -6.814811E-03 3.083090E-02 9.770056E-03 # Covariance matrix: 1.3270E-10 2.6645E-07 7.9415E-12 -9.4983E-11 4.4125E-08 -5.3068E-07 2.6645E-07 5.3736E-04 1.5988E-08 -1.8741E-07 8.8971E-05 -1.0735E-03 7.9415E-12 1.5988E-08 7.4124E-13 -7.2934E-12 2.6475E-09 -3.1867E-08 -9.4983E-11 -1.8741E-07 -7.2934E-12 1.1187E-10 -3.1082E-08 3.6353E-07 4.4125E-08 8.8971E-05 2.6475E-09 -3.1082E-08 1.4731E-05 -1.7770E-04 -5.3068E-07 -1.0735E-03 -3.1867E-08 3.6353E-07 -1.7770E-04 2.1532E-03 # lat0 lon0 xBary yBary zBary JD0 -0.595740 -145.389579 0.312245 -0.009959 -0.953082 2452370.692273 # Heliocentric elements and errors Epoch: 2452370.5000 = 2002/04/06 Mean Anomaly: 82.95976 +/- 52.610 Argument of Peri: 66.34430 +/- 57.350 Long of Asc Node: 31.48029 +/- 1.985 Inclination: 12.61596 +/- 9.097 Eccentricity: 0.29664708 +/- 1.4852 Semi-Major Axis: 31.79445643 +/- 1.8719 Time of Perihelion: 2437280.4547 +/- 9476.2 Perihelion: 22.36272384 +/- 47.2387 Aphelion: 41.22618902 +/- 47.2827 Period (y) 179.2814 +/- 15.83 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -27.65443052 +/- 3.3233 Ecliptic Y -18.70114276 +/- 2.2931 Ecliptic Z -0.33738819 +/- 0.0420 Ecliptic XDOT 0.00081820 +/- 0.0045 Ecliptic YDOT -0.00271540 +/- 0.0010 Ecliptic ZDOT -0.00061394 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 33.38583680 +/- 3.0377 Geocenter to KBO 32.43499340 +/- 4.0378 # Hcoef: 6.13
The following table shows the complete astrometric record for 02GN32. 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 (02GN32) followed by the observatory code and reference code for the source of the astrometry.
2002 04 06.19153 14 08 32.39 -13 37 07.9 21.0R 02GN32 807 Cf5154 2002 04 06.33003 14 08 31.59 -13 37 04.4 02GN32 807 Cf5154 2002 04 07.25776 14 08 26.32 -13 36 41.0 02GN32 807 Cf5154 2002 04 10.50229 14 08 07.68 -13 35 18.7 21.1R 02GN32 568 Cf5154 2002 04 11.40577 14 08 02.44 -13 34 55.3 02GN32 568 Cf5154 2002 04 11.48705 14 08 01.94 -13 34 53.0 02GN32 568 Cf5154 2002 06 11.17720 14 02 36.95 -13 10 05.9 21.0R 02GN32 688 Cf7381 2002 06 11.25426 14 02 36.56 -13 10 04.3 02GN32 688 Cf7381
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 0.10 0.00 0.14
2 0.0004 -12.16 0.04 -0.63 0.15
3 0.0029 -92.38 -0.19 -4.49 0.18
4 0.0118 -375.98 0.09 -18.61 -0.16
5 0.0143 -455.80 0.15 -22.36 -0.22
6 0.0145 -463.43 -0.15 -22.65 -0.13
7 0.1807 -5430.39 0.74 -236.32 0.11
8 0.1809 -5436.30 -0.73 -236.77 -0.08
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.
02GN32 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