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: 54520
# Created Sun Dec 22 02:06:47 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 3.05y
# First observation: 1999/07/21
# Last observation: 2002/08/09
# Chi-squared of fit: 163.91 DOF: 42 RMS: 0.46
# Min/Max residuals: -0.81 1.31
# Exact a, adot, b, bdot, g, gdot:
1.820967E-05 3.008068E-02 3.627986E-06 2.948508E-03 2.636409E-02 1.655708E-02
# 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
1.095147 -55.827862 0.113645 0.019011 -1.007187 2451380.846353
# Heliocentric elements and errors
Epoch: 2451380.5000 = 1999/07/21
Mean Anomaly: 7.05378 +/- 0.000
Argument of Peri: 303.99156 +/- 0.000
Long of Asc Node: 293.28006 +/- 0.000
Inclination: 5.70895 +/- 0.000
Eccentricity: 0.76640354 +/- 0.0000
Semi-Major Axis: 122.86960598 +/- 0.0000
Time of Perihelion: 2441633.2010 +/- 0.0
Perihelion: 28.70190505 +/- 0.0000
Aphelion: 217.03730690 +/- 0.0000
Period (y) 1361.9931 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 21.78112264 +/- 0.0000
Ecliptic Y -32.27152456 +/- 0.0000
Ecliptic Z 0.72511565 +/- 0.0000
Ecliptic XDOT 0.00354334 +/- 0.0000
Ecliptic YDOT 0.00034563 +/- 0.0000
Ecliptic ZDOT 0.00033905 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.94053746 +/- 0.0000
Geocenter to KBO 37.93002706 +/- 0.0000
# Hcoef: 7.99
The following table shows the complete astrometric record for 54520. 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 (54520) followed by the observatory code and reference code for the source of the astrometry.
1999 07 21.34561 20 24 54.44 -18 09 00.2 23.5R 54520 568 Ca7328 1999 07 21.37354 20 24 54.32 -18 09 00.6 54520 568 Ca7328 1999 07 21.40087 20 24 54.16 -18 09 01.0 54520 568 Ca7328 1999 08 09.19260 20 23 18.18 -18 13 59.3 23.6R 54520 675 Ca7328 1999 08 09.22064 20 23 18.05 -18 14 00.0 23.5R 54520 675 Ca7328 1999 08 09.24318 20 23 17.93 -18 14 00.3 23.8R 54520 675 Ca7328 2000 07 31.12387 20 30 46.37 -17 37 48.7 22.9R 54520 807 Ch1299 2000 07 31.19562 20 30 46.03 -17 37 50.3 54520 807 Ch1299 2000 08 05.34368 20 30 20.08 -17 39 15.9 24.1R 54520 568 Cb8005 2000 08 05.39259 20 30 19.85 -17 39 16.7 54520 568 Cb8005 2000 08 05.43348 20 30 19.63 -17 39 17.3 23.5R 54520 568 Cb8005 2000 08 06.33657 20 30 15.18 -17 39 32.2 24.1R 54520 568 Cb8005 2000 08 06.37780 20 30 14.97 -17 39 32.9 54520 568 Cb8005 2000 09 23.25607 20 27 07.72 -17 50 07.7 23.7R 54520 568 Cc0967 2000 09 23.30561 20 27 07.61 -17 50 07.9 24.0R 54520 568 Cc0967 2000 09 23.35371 20 27 07.50 -17 50 08.6 24.7R 54520 568 Cc0967 2000 09 24.24408 20 27 05.49 -17 50 17.0 24.1R 54520 568 Cc0967 2000 09 24.29365 20 27 05.39 -17 50 17.3 23.8R 54520 568 Cc0967 2000 09 24.35187 20 27 05.28 -17 50 17.8 54520 568 Cc0967 2001 07 25.33834 20 37 46.38 -17 02 26.6 23.3R 54520 568 Cd3309 2001 07 25.39242 20 37 46.11 -17 02 27.4 54520 568 Cd3309 2001 07 25.44965 20 37 45.82 -17 02 28.2 23.0R 54520 568 Cd3309 2001 07 26.36443 20 37 41.27 -17 02 44.0 54520 568 Cd3309 2002 08 09.12072 20 42 49.96 -16 33 18.4 22.2R 54520 807 Ch1299
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 0.06 0.00 -0.38
2 0.0001 0.00 0.44 0.00 -0.33
3 0.0002 0.00 0.17 0.00 -0.30
4 0.0516 0.00 -0.13 0.00 0.53
5 0.0517 0.00 0.05 0.00 0.28
6 0.0517 0.00 -0.03 0.00 0.34
7 1.0288 0.00 -0.13 0.00 0.15
8 1.0290 0.00 0.30 0.00 -0.26
9 1.0431 0.00 -0.81 0.00 -0.49
10 1.0432 0.00 -0.53 0.00 -0.47
11 1.0434 0.00 -0.71 0.00 -0.40
12 1.0458 0.00 -0.05 0.00 -0.42
13 1.0459 0.00 -0.06 0.00 -0.43
14 1.1770 0.00 0.15 0.00 1.11
15 1.1772 0.00 0.25 0.00 1.31
16 1.1773 0.00 0.29 0.00 0.98
17 1.1797 0.00 -0.40 0.00 -0.40
18 1.1799 0.00 -0.21 0.00 -0.32
19 1.1800 0.00 0.11 0.00 -0.38
20 2.0123 0.00 0.57 0.00 -0.04
21 2.0124 0.00 0.61 0.00 0.08
22 2.0126 0.00 0.59 0.00 0.24
23 2.0151 0.00 0.23 0.00 -0.19
24 3.0521 0.00 -0.65 0.00 -0.15
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.
54520 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 122.127 122.130 122.123 ecceobj 0.765 0.765 0.765 incobj 5.714 5.714 5.714 qmin 27.757 27.749 27.707 qmax 239.974 242.711 227.381 amean 123.663 126.434 121.054 amin 116.778 114.409 114.516 amax 134.405 135.790 128.068 emean 0.766 0.771 0.763 emin 0.747 0.746 0.746 emax 0.785 0.787 0.775 imean 9.029 8.641 8.107 imin 7.233 7.233 7.233 imax 10.408 9.825 8.830 excite_mean 0.782 0.786 0.776 fracstop 0.077 0.086 0.073 cjmean 2.814 2.814 2.813 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 323.7 324.8 320.9 kozaiamp 18.5 20.2 16.5