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: 00GK147 # Created Wed Nov 27 02:08:04 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 34.96d # First observation: 2000/04/02 # Last observation: 2000/05/07 Preliminary a, adot, b, bdot, g, gdot: 0.000003 0.053472 -0.000001 -0.004137 0.033356 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 24.67 DOF: 11 RMS: 0.31 # Min/Max residuals: -0.64 0.42 # Exact a, adot, b, bdot, g, gdot: 2.480439E-05 4.355824E-02 -3.226960E-06 -4.168370E-03 3.175346E-02 1.827075E-03 # Covariance matrix: 1.8533E-12 2.2963E-09 -8.8857E-15 3.9339E-12 3.9014E-10 -1.4503E-08 2.2963E-09 3.7791E-06 -2.0066E-11 8.6461E-09 6.2854E-07 -2.9205E-05 -8.8857E-15 -2.0066E-11 3.1301E-13 -3.5230E-12 -3.1574E-12 2.3227E-10 3.9339E-12 8.6461E-09 -3.5230E-12 1.2508E-10 1.3662E-09 -9.7638E-08 3.9014E-10 6.2854E-07 -3.1574E-12 1.3662E-09 1.0496E-07 -4.6804E-06 -1.4503E-08 -2.9205E-05 2.3227E-10 -9.7638E-08 -4.6804E-06 3.0161E-04 # lat0 lon0 xBary yBary zBary JD0 -0.067697 -178.113829 -0.194976 -0.001379 -0.987936 2451636.889723 # Heliocentric elements and errors Epoch: 2451630.5000 = 2000/03/27 Mean Anomaly: 1.82562 +/- 14.807 Argument of Peri: 172.82738 +/- 63.695 Long of Asc Node: 1.53945 +/- 0.029 Inclination: 5.47606 +/- 0.261 Eccentricity: 0.56084431 +/- 0.0427 Semi-Major Axis: 73.69762519 +/- 7.7576 Time of Perihelion: 2450458.6126 +/- 9503.3 Perihelion: 32.36473161 +/- 4.6389 Aphelion: 115.03051877 +/- 12.5111 Period (y) 632.6863 +/- 99.90 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.44989427 +/- 0.3211 Ecliptic Y -1.26126931 +/- 0.0105 Ecliptic Z -0.03729602 +/- 0.0004 Ecliptic XDOT -0.00003957 +/- 0.0015 Ecliptic YDOT -0.00375211 +/- 0.0001 Ecliptic ZDOT -0.00035947 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.47441808 +/- 0.3209 Geocenter to KBO 31.49262814 +/- 0.3213 # Hcoef: 9.32
The following table shows the complete astrometric record for 00GK147. 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 (00GK147) followed by the observatory code and reference code for the source of the astrometry.
2000 04 02.38898 12 06 48.89 -00 48 44.2 23.8R 00GK147 568 Cb4444 2000 04 02.43061 12 06 48.71 -00 48 43.9 23.9R 00GK147 568 Cb4444 2000 04 02.47005 12 06 48.49 -00 48 42.4 23.8R 00GK147 568 Cb4444 2000 04 05.45130 12 06 32.64 -00 47 06.4 23.9R 00GK147 568 Cb4444 2000 04 05.49918 12 06 32.42 -00 47 05.1 23.8R 00GK147 568 Cb4444 2000 05 07.26572 12 04 10.90 -00 33 03.8 24.4R 00GK147 568 Cb5789 2000 05 07.31296 12 04 10.76 -00 33 03.1 24.6R 00GK147 568 Cb5789 2000 05 07.34881 12 04 10.60 -00 33 02.1 24.6R 00GK147 568 Cb5789
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 -0.64 0.00 0.24
2 0.0001 -2.60 0.42 -0.80 -0.44
3 0.0002 -6.22 0.26 -0.73 -0.26
4 0.0084 -262.52 -0.32 -7.17 0.24
5 0.0085 -266.06 0.27 -7.29 0.26
6 0.0955 -2548.35 -0.07 -79.51 0.00
7 0.0956 -2550.55 0.34 -79.70 -0.06
8 0.0957 -2553.15 -0.27 -79.74 0.01
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.
00GK147 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