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: 02VD138
# Created Thu May 24 01:37:14 2012
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 5.95y
# First observation: 2002/11/09
# Last observation: 2008/10/22
Preliminary a, adot, b, bdot, g, gdot:
0.000052 0.032856 -0.000002 0.000216 0.029500 0.000000
# Chi-squared of fit: 23.70 DOF: 20 RMS: 0.24
# Min/Max residuals: -0.56 0.44
# Exact a, adot, b, bdot, g, gdot:
1.639597E-05 3.305802E-02 -3.860473E-07 2.138746E-04 2.949409E-02 2.845689E-03
# Covariance matrix:
4.3125E-13 -3.0007E-13 2.0802E-15 -1.7197E-15 3.8821E-13 -1.0998E-12
-3.0007E-13 3.7705E-13 -2.4844E-15 2.4370E-15 -3.6802E-13 1.6658E-12
2.0802E-15 -2.4844E-15 2.5728E-13 -5.8453E-14 8.5455E-15 -9.9864E-15
-1.7197E-15 2.4370E-15 -5.8453E-14 2.3785E-14 -3.3650E-15 1.1251E-14
3.8821E-13 -3.6802E-13 8.5455E-15 -3.3650E-15 2.5180E-12 -1.1161E-12
-1.0998E-12 1.6658E-12 -9.9864E-15 1.1251E-14 -1.1161E-12 8.0345E-12
# lat0 lon0 xBary yBary zBary JD0
2.838655 37.341119 -0.155104 0.048280 -0.974231 2452587.738003
# Heliocentric elements and errors
Epoch: 2452580.5000 = 2002/11/02
Mean Anomaly: 31.15422 +/- 0.033
Argument of Peri: 40.74367 +/- 0.043
Long of Asc Node: 315.36504 +/- 0.006
Inclination: 2.78456 +/- 0.000
Eccentricity: 0.14754365 +/- 0.0002
Semi-Major Axis: 39.59828285 +/- 0.0112
Time of Perihelion: 2444704.1080 +/- 7.6
Perihelion: 33.75580767 +/- 0.0123
Aphelion: 45.44075804 +/- 0.0150
Period (y) 249.1855 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 27.60288457 +/- 0.0015
Ecliptic Y 21.26060288 +/- 0.0011
Ecliptic Z 1.67910109 +/- 0.0001
Ecliptic XDOT -0.00165979 +/- 0.0000
Ecliptic YDOT 0.00259569 +/- 0.0000
Ecliptic ZDOT 0.00003312 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 34.88197030 +/- 0.0013
Geocenter to KBO 33.90509602 +/- 0.0018
# Hcoef: 8.44
The following table shows the complete astrometric record for 02VD138. 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 (02VD138) followed by the observatory code and reference code for the source of the astrometry.
2002 11 09.23726 02 16 06.22 +16 38 36.7 22.9R 02VD138 695 Cl9844 2002 11 09.33793 02 16 05.64 +16 38 34.1 02VD138 695 Cl9844 2002 12 05.09440 02 13 55.63 +16 26 44.8 22.8R 02VD138 695 Cl9844 2002 12 05.20580 02 13 55.15 +16 26 42.4 02VD138 695 Cl9844 2004 10 15.33394 02 33 18.27 +18 03 08.4 23.0R 02VD138 695 Cl9844 2004 10 15.44501 02 33 17.71 +18 03 06.2 02VD138 695 Cl9844 2004 11 09.19997 02 30 57.52 +17 52 20.7 22.6R 02VD138 695 Cl9844 2004 11 09.29232 02 30 56.95 +17 52 17.7 02VD138 695 Cl9844 2004 11 10.27544 02 30 51.37 +17 51 51.0 02VD138 695 Cl9844 2007 11 09.25365 02 53 21.88 +19 33 43.3 02VD138 695 Cy3992 2007 11 09.34002 02 53 21.36 +19 33 41.0 02VD138 695 Cy3992 2008 10 22.26679 03 02 27.20 +20 11 12.0 25.4r 02VD138 695 C~0gM1 2008 10 22.29860 03 02 27.02 +20 11 11.1 24.9r 02VD138 695 C~0gM1
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 0.27 0.00 0.10 2 0.0003 -8.73 0.27 0.30 0.44 3 0.0708 -2007.62 -0.33 -49.48 -0.36 4 0.0711 -2014.93 -0.11 -49.45 -0.06 5 1.9332 15651.67 -0.56 82.73 -0.28 6 1.9335 15643.35 0.26 83.11 -0.10 7 2.0013 13530.91 0.32 90.32 0.13 8 2.0015 13522.20 -0.30 90.01 -0.16 9 2.0042 13437.83 0.03 89.49 0.20 10 4.9994 33852.75 0.25 225.11 0.10 11 4.9996 33844.84 0.08 224.98 0.00 12 5.9522 42139.98 -0.04 269.60 0.11 13 5.9523 42137.18 -0.15 269.41 -0.12
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.
02VD138 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.863 39.863 39.863 ecceobj 0.154 0.154 0.154 incobj 2.783 2.783 2.783 qmin 33.073 33.070 33.077 qmax 46.227 46.220 46.234 amean 39.458 39.457 39.458 amin 39.084 39.084 39.085 amax 39.863 39.863 39.863 emean 0.142 0.142 0.142 emin 0.127 0.126 0.127 emax 0.160 0.160 0.160 imean 4.173 4.173 4.173 imin 3.518 3.518 3.518 imax 4.795 4.794 4.796 excite_mean 0.160 0.160 0.160 fracstop 1.000 1.000 1.000 cjmean 3.023 3.023 3.023 libcent 0 179.5 179.7 179.8 libamp 0 50.4 50.2 50.0 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 183.4 183.2 183.5 kozaiamp 180.0 179.9 180.0