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: 69988
# Created Sun Nov 22 02:37:00 2009
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 22 observations of 24
# Arc: 2.18y
# First observation: 1998/10/22
# Last observation: 2000/12/28
# Chi-squared of fit: 130.60 DOF: 38 RMS: 0.43
# Min/Max residuals: -1.07 1.00
# Exact a, adot, b, bdot, g, gdot:
1.900246E-05 2.866703E-02 2.494950E-06 4.561836E-03 2.658501E-02 9.896219E-03
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
2.777858 37.434808 0.144484 0.047158 -0.976638 2451108.840261
# Heliocentric elements and errors
Epoch: 2451110.5000 = 1998/10/24
Mean Anomaly: 27.19484 +/- 0.000
Argument of Peri: 310.52505 +/- 0.000
Long of Asc Node: 20.67179 +/- 0.000
Inclination: 9.43013 +/- 0.000
Eccentricity: 0.43300087 +/- 0.0000
Semi-Major Axis: 55.79596327 +/- 0.0000
Time of Perihelion: 2439610.7970 +/- 0.0
Perihelion: 31.63626262 +/- 0.0000
Aphelion: 79.95566392 +/- 0.0000
Period (y) 416.7853 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 30.70524930 +/- 0.0000
Ecliptic Y 23.31708072 +/- 0.0000
Ecliptic Z 1.82307683 +/- 0.0000
Ecliptic XDOT -0.00100460 +/- 0.0000
Ecliptic YDOT 0.00295826 +/- 0.0000
Ecliptic ZDOT 0.00051860 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.59799575 +/- 0.0000
Geocenter to KBO 37.61499794 +/- 0.0000
# Hcoef: 7.48
The following table shows the complete astrometric record for 69988. 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 (69988) followed by the observatory code and reference code for the source of the astrometry.
1998 10 22.33953 02 16 33.37 +16 37 01.2 23.4R 69988 695 Ch1098 1998 10 22.47242 02 16 32.66 +16 36 58.0 69988 695 Ch1098 1998 10 22.49896 02 16 32.59 +16 36 57.5 69988 695 Ch1098 1998 11 18.08751 02 14 16.22 +16 26 29.7 22.8R 69988 695 Ca3373 1998 11 18.15650 02 14 15.84 +16 26 27.9 69988 695 Ca3373 1998 11 18.24171 02 14 15.42 +16 26 26.1 69988 695 Ca3373 1998 11 19.07963 02 14 11.38 +16 26 06.3 22.5R 69988 695 Ca3373 1998 11 19.16041 02 14 11.00 +16 26 04.5 69988 695 Ca3373 1998 12 17.83243 02 12 16.71 +16 16 23.3 69988 950 Ca3608 1998 12 17.86950 02 12 16.68 +16 16 21.8 69988 950 Ca3608 1998 12 17.90432 02 12 16.56 +16 16 20.2 69988 950 Ca3608 2000 01 06.29250 02 17 37.46 +16 59 04.4 69988 568 Cc9443 2000 01 06.32548 02 17 37.41 +16 59 03.8 69988 568 Cc9443 2000 01 07.28238 02 17 36.24 +16 58 56.0 69988 568 Cc9443 2000 01 07.31050 02 17 36.21 +16 58 55.5 69988 568 Cc9443 2000 02 05.09634 02 17 45.90 +16 58 31.3 23.2R 69988 695 Cj9811 2000 02 05.10277 02 17 45.86 +16 58 32.5 69988 695 Cj9811 2000 02 05.19148 02 17 46.01 +16 58 33.1 69988 695 Cj9811 2000 12 24.23678 02 23 58.83 +17 46 36.3 69988 568 Cc9443 2000 12 24.34670 02 23 58.51 +17 46 34.6 69988 568 Cc9443 2000 12 28.28859 02 23 49.021 +17 45 40.44 23.3R 69988 568 Cl8213 2000 12 28.35747 02 23 48.856 +17 45 39.61 23.2R 69988 568 Cl8213 2003 10 22.31297 02 46 20.85 +20 14 21.3 23.3R 69988 304 Ci9217 2003 10 22.32738 02 46 20.79 +20 14 20.3 69988 304 Ci9217
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 -0.21 0.00 -0.75 2 0.0004 0.00 -0.54 0.00 -0.24 3 0.0004 0.00 0.49 0.00 -0.14 4 0.0732 0.00 0.84 0.00 0.23 5 0.0734 0.00 0.22 0.00 0.03 6 0.0737 0.00 0.22 0.00 0.22 7 0.0759 0.00 0.13 0.00 0.04 8 0.0762 0.00 0.33 0.00 0.11 9 0.1547 0.00 -1.07 0.00 1.00 10 0.1548 0.00 0.17 0.00 0.09 11 0.1549 0.00 -0.05 0.00 -0.96 12 1.2073 0.00 -0.22 0.00 0.18 13 1.2074 0.00 -0.30 0.00 -0.13 14 1.2100 0.00 -0.37 0.00 0.04 15 1.2101 0.00 -0.29 0.00 -0.22 16 1.2889 0.00 0.99 0.00 -0.85 17 1.2889 0.00 0.22 0.00 0.31 18 1.2891 0.00 0.09 0.00 0.33 19 2.1736 0.00 0.16 0.00 -0.09 20 2.1739 0.00 -0.21 0.00 -0.18 21 2.1847 0.00 0.04 0.00 0.19 22 2.1849 0.00 -0.04 0.00 0.26 23 4.9992 0.00 ( -11.54) 0.00 ( 2.68) 24 4.9993 0.00 ( -11.35) 0.00 ( 1.94)
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.
69988 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 55.801 55.801 55.800 ecceobj 0.432 0.432 0.432 incobj 9.432 9.432 9.432 qmin 31.054 31.045 31.047 qmax 81.651 81.669 81.591 amean 55.463 55.463 55.463 amin 54.553 54.593 54.570 amax 56.619 56.650 56.616 emean 0.430 0.430 0.430 emin 0.418 0.418 0.418 emax 0.442 0.442 0.442 imean 9.426 9.444 9.440 imin 9.109 9.102 9.109 imax 9.807 9.806 9.802 excite_mean 0.460 0.460 0.460 fracstop 1.000 1.000 1.000 cjmean 2.961 2.961 2.961 libcent 0 181.6 179.7 179.8 libamp 0 141.5 138.5 141.4 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 172.5 175.7 173.1 kozaiamp 180.0 180.0 180.0