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 Dec 22 02:06:49 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 31
# Arc: 25.07y
# First observation: 1998/10/22
# Last observation: 2023/11/17
# Chi-squared of fit: 160.10 DOF: 52 RMS: 0.42
# Min/Max residuals: -0.91 1.06
# Exact a, adot, b, bdot, g, gdot:
1.966677E-05 2.867028E-02 2.672165E-06 4.562150E-03 2.658831E-02 9.955953E-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 -0.976637 2451108.840261
# Heliocentric elements and errors
Epoch: 2451108.5000 = 1998/10/22
Mean Anomaly: 27.11174 +/- 0.000
Argument of Peri: 310.38489 +/- 0.000
Long of Asc Node: 20.67121 +/- 0.000
Inclination: 9.42981 +/- 0.000
Eccentricity: 0.43505401 +/- 0.0000
Semi-Major Axis: 55.90466616 +/- 0.0000
Time of Perihelion: 2439610.4182 +/- 0.0
Perihelion: 31.58311715 +/- 0.0000
Aphelion: 80.22621518 +/- 0.0000
Period (y) 418.0039 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 30.70152814 +/- 0.0000
Ecliptic Y 23.31426345 +/- 0.0000
Ecliptic Z 1.82285704 +/- 0.0000
Ecliptic XDOT -0.00099980 +/- 0.0000
Ecliptic YDOT 0.00296190 +/- 0.0000
Ecliptic ZDOT 0.00051887 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.59332197 +/- 0.0000
Geocenter to KBO 37.61032422 +/- 0.0000
# Hcoef: 6.77
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 2004 09 21.311482 02 54 12.02 +20 59 03.4 69988 645 C~1SCv 2004 09 21.312311 02 54 12.02 +20 59 03.4 69988 645 C~1SCv 2008 12 22.23212 03 09 28.89 +22 55 52.0 22.4r 69988 695 C~0hly 2008 12 22.32328 03 09 28.55 +22 55 50.4 22.4r 69988 695 C~0hly 2023 11 17.85828 04 27 43.16 +29 07 16.7 22.4w 69988 O18 C~7WhG 2023 11 17.86479 04 27 43.14 +29 07 16.6 22.6w 69988 O18 C~7WhH 2023 11 17.87126 04 27 43.16 +29 07 16.3 22.6w 69988 O18 C~7WhH
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 -0.53 0.00 -0.17
2 0.0004 0.00 -0.72 0.00 -0.34
3 0.0004 0.00 0.31 0.00 -0.23
4 0.0732 0.00 0.91 0.00 0.21
5 0.0734 0.00 0.29 0.00 0.01
6 0.0737 0.00 0.29 0.00 0.20
7 0.0759 0.00 0.21 0.00 0.03
8 0.0762 0.00 0.41 0.00 0.09
9 0.1547 0.00 -0.78 0.00 1.06
10 0.1548 0.00 0.45 0.00 0.15
11 0.1549 0.00 0.24 0.00 -0.90
12 1.2073 0.00 -0.39 0.00 0.10
13 1.2074 0.00 -0.47 0.00 -0.21
14 1.2100 0.00 -0.54 0.00 -0.04
15 1.2101 0.00 -0.46 0.00 -0.31
16 1.2889 0.00 0.86 0.00 -0.91
17 1.2889 0.00 0.09 0.00 0.25
18 1.2891 0.00 -0.04 0.00 0.27
19 2.1736 0.00 0.06 0.00 -0.05
20 2.1739 0.00 -0.31 0.00 -0.14
21 2.1847 0.00 -0.05 0.00 0.23
22 2.1849 0.00 -0.14 0.00 0.31
23 4.9992 0.00 ( -7.30) 0.00 ( 4.84)
24 4.9993 0.00 ( -7.11) 0.00 ( 4.10)
25 5.9164 0.00 0.11 0.00 -0.26
26 5.9164 0.00 0.15 0.00 -0.26
27 10.1681 0.00 -0.13 0.00 0.63
28 10.1683 0.00 -0.14 0.00 0.62
29 25.0719 0.00 -0.35 0.00 -0.03
30 25.0719 0.00 -0.18 0.00 -0.09
31 25.0720 0.00 0.59 0.00 -0.34
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 55.910 55.910 55.909 ecceobj 0.434 0.434 0.434 incobj 9.431 9.431 9.431 qmin 30.942 30.940 30.946 qmax 81.442 81.514 81.547 amean 55.462 55.462 55.462 amin 54.617 54.667 54.685 amax 56.459 56.526 56.510 emean 0.431 0.431 0.431 emin 0.419 0.419 0.419 emax 0.443 0.443 0.443 imean 9.481 9.480 9.475 imin 9.134 9.135 9.134 imax 9.887 9.886 9.884 excite_mean 0.461 0.461 0.461 fracstop 1.000 1.000 1.000 cjmean 2.959 2.959 2.959 libcent 0 181.7 180.5 179.4 libamp 0 112.9 110.8 108.6 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 160.9 160.9 159.7 kozaiamp 179.9 179.9 179.9