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: 03KP20
# Created Wed Dec 25 02:08:24 2024
# Orbit generated from Bernstein formalism
# Fitting 5 observations of 5
# Arc: 39.18d
# First observation: 2003/05/30
# Last observation: 2003/07/08
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.040058 -0.000001 0.000808 0.028029 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 1.89 DOF: 5 RMS: 0.11
# Min/Max residuals: -0.19 0.19
# Exact a, adot, b, bdot, g, gdot:
1.596706E-05 2.528540E-02 -1.269701E-07 7.375329E-04 2.562525E-02 7.277504E-03
# Covariance matrix:
9.8571E-11 1.5362E-07 -5.0744E-13 7.4622E-10 2.5388E-08 -3.3142E-07
1.5362E-07 2.4077E-04 -7.9501E-10 1.1691E-06 3.9775E-05 -5.2646E-04
-5.0744E-13 -7.9501E-10 4.9541E-13 -8.5068E-12 -1.3136E-10 1.7238E-09
7.4622E-10 1.1691E-06 -8.5068E-12 5.7871E-09 1.9318E-07 -2.5338E-06
2.5388E-08 3.9775E-05 -1.3136E-10 1.9318E-07 6.5723E-06 -8.6191E-05
-3.3142E-07 -5.2646E-04 1.7238E-09 -2.5338E-06 -8.6191E-05 1.4906E-03
# lat0 lon0 xBary yBary zBary JD0
1.132709 -107.008182 0.077856 0.020061 -1.013519 2452789.742573
# Heliocentric elements and errors
Epoch: 2452780.5000 = 2003/05/21
Mean Anomaly: 60.23188 +/- 61.869
Argument of Peri: 300.51137 +/- 185.304
Long of Asc Node: 219.63529 +/- 13.910
Inclination: 2.01363 +/- 0.750
Eccentricity: 0.28479109 +/- 1.4660
Semi-Major Axis: 42.97358550 +/- 19.0142
Time of Perihelion: 2435564.7991 +/- 13496.4
Perihelion: 30.73509113 +/- 64.4498
Aphelion: 55.21207987 +/- 67.5695
Period (y) 281.7154 +/- 186.97
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -11.78532122 +/- 1.1421
Ecliptic Y -38.25261900 +/- 3.7325
Ecliptic Z 0.77143270 +/- 0.0772
Ecliptic XDOT 0.00235052 +/- 0.0025
Ecliptic YDOT -0.00153725 +/- 0.0037
Ecliptic ZDOT 0.00009434 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 40.03438228 +/- 3.5822
Geocenter to KBO 39.02400793 +/- 3.9041
# Hcoef: 7.19
The following table shows the complete astrometric record for 03KP20. 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 (03KP20) followed by the observatory code and reference code for the source of the astrometry.
2003 05 30.24183 16 46 51.50 -21 14 00.3 22.2R 03KP20 807 Ci2136 2003 05 30.32539 16 46 51.06 -21 13 59.7 03KP20 807 Ci2136 2003 05 31.21091 16 46 46.34 -21 13 50.8 03KP20 807 Ci2136 2003 07 08.36080 16 43 35.29 -21 08 07.9 23.5R 03KP20 568 Ci2706 2003 07 08.42524 16 43 35.01 -21 08 07.8 03KP20 568 Ci2706
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 -0.08 0.00 0.12
2 0.0002 -6.18 0.11 -0.17 -0.11
3 0.0027 -72.77 -0.04 0.41 -0.01
4 0.1071 -2766.95 -0.02 -0.05 0.19
5 0.1073 -2770.85 0.02 -0.46 -0.19
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.
03KP20 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