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: 02GR32 # Created Wed Dec 25 02:08:17 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 15.07y # First observation: 2002/04/07 # Last observation: 2017/05/02 # Chi-squared of fit: 10.62 DOF: 26 RMS: 0.14 # Min/Max residuals: -0.31 0.20 # Exact a, adot, b, bdot, g, gdot: 2.079956E-05 4.680677E-02 1.824164E-06 2.715714E-03 3.572641E-02 3.520886E-03 # Covariance matrix: 7.3664E-13 -4.0416E-11 1.0933E-14 -1.4229E-12 4.0232E-12 -5.6821E-11 -4.0416E-11 1.6550E-06 -4.3538E-10 5.7533E-08 2.5766E-07 2.2928E-06 1.0933E-14 -4.3538E-10 3.6051E-13 -1.5177E-11 -6.7776E-11 -6.0317E-10 -1.4229E-12 5.7533E-08 -1.5177E-11 2.0030E-09 8.9566E-09 7.9705E-08 4.0232E-12 2.5766E-07 -6.7776E-11 8.9566E-09 4.0331E-08 3.5694E-07 -5.6821E-11 2.2928E-06 -6.0317E-10 7.9705E-08 3.5694E-07 3.1765E-06 # lat0 lon0 xBary yBary zBary JD0 0.077399 -151.399230 0.194510 0.001283 -0.984299 2452371.661073 # Heliocentric elements and errors Epoch: 2452372.5000 = 2002/04/08 Mean Anomaly: 10.22615 +/- 0.248 Argument of Peri: 342.59978 +/- 0.008 Long of Asc Node: 206.92046 +/- 0.004 Inclination: 3.32634 +/- 0.000 Eccentricity: 0.27794344 +/- 0.0005 Semi-Major Axis: 39.66434817 +/- 0.0010 Time of Perihelion: 2449780.6573 +/- 62.9 Perihelion: 28.63990267 +/- 0.0188 Aphelion: 50.68879368 +/- 0.0188 Period (y) 249.8093 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -25.53127989 +/- 0.0015 Ecliptic Y -13.69455271 +/- 0.0008 Ecliptic Z 0.03784763 +/- 0.0000 Ecliptic XDOT 0.00147209 +/- 0.0000 Ecliptic YDOT -0.00327968 +/- 0.0000 Ecliptic ZDOT 0.00020870 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 28.97216074 +/- 0.0013 Geocenter to KBO 27.99048813 +/- 0.0017 # Hcoef: 8.66
The following table shows the complete astrometric record for 02GR32. 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 (02GR32) followed by the observatory code and reference code for the source of the astrometry.
2002 04 07.16033 13 46 25.02 -10 54 17.3 21.8R 02GR32 807 Cf5154 2002 04 07.22458 13 46 24.61 -10 54 14.9 02GR32 807 Cf5154 2002 04 11.31682 13 45 59.29 -10 51 46.2 22.0R 02GR32 695 Cg5851 2002 04 11.38175 13 45 58.89 -10 51 44.1 02GR32 695 Cg5851 2002 04 11.38398 13 45 58.89 -10 51 43.8 22.2R 02GR32 568 Cf5154 2002 04 11.46556 13 45 58.38 -10 51 40.6 02GR32 568 Cf5154 2015 05 27.192487 15 53 18.55 -18 19 22.0 23.8r 02GR32 W84 C~1j7T 2015 05 27.214114 15 53 18.42 -18 19 21.5 23.7r 02GR32 W84 C~1j7T 2015 05 27.235762 15 53 18.27 -18 19 21.0 24.1r 02GR32 W84 C~1j7T 2015 05 27.292647 15 53 17.90 -18 19 19.9 23.6r 02GR32 W84 C~1j7T 2015 05 27.314291 15 53 17.76 -18 19 19.4 23.5r 02GR32 W84 C~1j7T 2015 05 27.335929 15 53 17.61 -18 19 18.9 23.4r 02GR32 W84 C~1j7T 2015 05 28.313157 15 53 11.40 -18 18 59.3 23.8r 02GR32 W84 C~1j7T 2015 05 28.334857 15 53 11.25 -18 18 59.0 23.8r 02GR32 W84 C~1j7T 2017 05 02.37673 16 15 00.49 -19 07 30.8 23.7R 02GR32 G37 C~2FZE 2017 05 02.44192 16 15 00.14 -19 07 29.7 02GR32 G37 C~2FZE
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 -0.06 0.00 -0.11 2 0.0002 0.00 -0.19 0.00 -0.03 3 0.0114 0.00 -0.11 0.00 0.09 4 0.0116 0.00 0.08 0.00 -0.19 5 0.0116 0.00 0.07 0.00 -0.03 6 0.0118 0.00 0.20 0.00 0.18 7 13.1363 0.00 0.04 0.00 0.02 8 13.1364 0.00 0.20 0.00 0.08 9 13.1364 0.00 0.05 0.00 0.14 10 13.1366 0.00 0.03 0.00 0.07 11 13.1366 0.00 0.02 0.00 0.13 12 13.1367 0.00 -0.14 0.00 0.18 13 13.1394 0.00 0.03 0.00 0.09 14 13.1394 0.00 -0.13 0.00 -0.05 15 15.0697 0.00 -0.27 0.00 -0.28 16 15.0699 0.00 0.17 0.00 -0.31
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.
02GR32 quality flag:2 Type: 3:2E 3:2E CENTAURR axisobj 39.396 39.396 39.395 ecceobj 0.273 0.273 0.273 incobj 3.330 3.330 3.330 qmin 28.010 28.018 27.860 qmax 51.771 51.856 52.613 amean 39.456 39.456 39.461 amin 38.832 38.875 38.065 amax 40.214 40.179 40.829 emean 0.276 0.276 0.276 emin 0.262 0.262 0.238 emax 0.290 0.291 0.291 imean 4.719 4.624 4.952 imin 3.883 3.883 3.883 imax 5.355 5.242 7.516 excite_mean 0.288 0.288 0.289 fracstop 1.000 1.000 0.437 cjmean 2.955 2.956 2.954 libcent 0 179.2 179.8 -180.0 libamp 0 132.3 131.0 -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 155.0 150.4 146.3 kozaiamp 180.0 180.0 180.0