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: 10ES65
# Created Sun Dec 22 02:09:07 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 11.33y
# First observation: 2002/12/31
# Last observation: 2014/04/29
# Chi-squared of fit: 337.98 DOF: 50 RMS: 0.61
# Min/Max residuals: -1.72 1.18
# Exact a, adot, b, bdot, g, gdot:
3.025020E-05 1.538769E-01 2.895201E-06 -2.693150E-02 8.415161E-02 -7.857390E-02
# Covariance matrix:
5.0619E-13 -1.3054E-10 -3.4910E-15 2.3537E-11 6.9027E-12 4.7590E-11
-1.3054E-10 1.0291E-06 2.7532E-11 -1.8563E-07 -5.4231E-08 -3.7538E-07
-3.4910E-15 2.7532E-11 4.9038E-13 -5.0340E-12 -1.4535E-12 -1.0043E-11
2.3537E-11 -1.8563E-07 -5.0340E-12 3.3497E-08 9.7877E-09 6.7713E-08
6.9027E-12 -5.4231E-08 -1.4535E-12 9.7877E-09 3.1630E-09 1.9746E-08
4.7590E-11 -3.7538E-07 -1.0043E-11 6.7713E-08 1.9746E-08 1.3693E-07
# lat0 lon0 xBary yBary zBary JD0
3.268895 75.616742 -0.392908 0.051093 -0.894632 2452639.737143
# Heliocentric elements and errors
Epoch: 2452640.5000 = 2003/01/01
Mean Anomaly: 338.32579 +/- 0.011
Argument of Peri: 237.01966 +/- 0.005
Long of Asc Node: 274.16757 +/- 0.006
Inclination: 10.41785 +/- 0.006
Eccentricity: 0.55770417 +/- 0.0000
Semi-Major Axis: 21.40488209 +/- 0.0001
Time of Perihelion: 2454818.2524 +/- 1.1
Perihelion: 9.46729003 +/- 0.0001
Aphelion: 33.34247416 +/- 0.0002
Period (y) 99.0324 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 2.78739132 +/- 0.0003
Ecliptic Y 12.46259067 +/- 0.0000
Ecliptic Z 0.67764397 +/- 0.0001
Ecliptic XDOT -0.00547813 +/- 0.0000
Ecliptic YDOT -0.00118424 +/- 0.0000
Ecliptic ZDOT -0.00102035 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 12.78863124 +/- 0.0003
Geocenter to KBO 11.88353466 +/- 0.0003
# Hcoef: 11.86
The following table shows the complete astrometric record for 10ES65. 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 (10ES65) followed by the observatory code and reference code for the source of the astrometry.
2002 12 31.236400 04 55 58.77 +25 54 45.2 22.9V 10ES65 645 C~1mrV 2002 12 31.237222 04 55 58.76 +25 54 45.2 10ES65 645 C~1mrV 2002 12 31.239711 04 55 58.72 +25 54 45.0 10ES65 645 C~1mrV 2008 01 18.41904 09 15 28.52 +07 41 04.2 21.5V 10ES65 691 C~142i 2008 01 18.43713 09 15 28.25 +07 41 04.7 21.7V 10ES65 691 C~142i 2008 01 18.45546 09 15 27.95 +07 41 05.7 21.2V 10ES65 691 C~142i 2010 03 12.06023 11 04 23.851 -06 15 22.60 20.9R 10ES65 809 C~0F7m 2010 03 12.14310 11 04 22.540 -06 15 15.22 21.1R 10ES65 809 C~0F7m 2010 03 13.02728 11 04 08.832 -06 13 52.60 10ES65 809 C~0F7m 2010 03 13.11259 11 04 07.518 -06 13 44.36 21.5R 10ES65 809 C~0F7m 2010 03 13.19693 11 04 06.142 -06 13 36.73 10ES65 809 C~0F7m 2010 03 15.15704 11 03 35.988 -06 10 29.99 21.2R 10ES65 807 C~0F7m 2010 03 15.19537 11 03 35.377 -06 10 26.37 21.2R 10ES65 807 C~0F7m 2010 04 03.09787 10 59 10.296 -05 38 17.42 21.3R 10ES65 807 C~0GDb 2010 04 03.21286 10 59 08.754 -05 38 04.57 21.4R 10ES65 807 C~0GDb 2010 04 04.14484 10 58 57.542 -05 36 28.68 21.5R 10ES65 807 C~0GDb 2010 04 04.18564 10 58 57.022 -05 36 24.60 21.3R 10ES65 807 C~0GDb 2010 06 03.98133 10 56 48.926 -04 29 18.00 10ES65 807 C~0IRj 2010 06 04.06120 10 56 49.649 -04 29 17.73 10ES65 807 C~0IRj 2011 03 28.07852 11 59 05.448 -12 28 46.38 10ES65 809 C~142i 2011 03 28.20237 11 59 03.508 -12 28 32.23 21.6R 10ES65 809 C~142i 2014 04 28.10984 14 21 53.85 -23 41 15.3 23.5V 10ES65 W84 C~142i 2014 04 28.11318 14 21 53.79 -23 41 15.0 10ES65 W84 C~142i 2014 04 28.11980 14 21 53.68 -23 41 14.5 10ES65 W84 C~142i 2014 04 28.12316 14 21 53.63 -23 41 14.2 10ES65 W84 C~142i 2014 04 29.10546 14 21 39.37 -23 39 57.5 23.0V 10ES65 W84 C~142i 2014 04 29.10870 14 21 39.32 -23 39 57.3 10ES65 W84 C~142i 2014 04 29.11842 14 21 39.17 -23 39 56.6 10ES65 W84 C~142i
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 -0.10 0.00 -1.66
2 0.0000 0.00 -0.08 0.00 -1.63
3 0.0000 0.00 -0.15 0.00 -1.72
4 5.0491 0.00 0.18 0.00 0.23
5 5.0491 0.00 0.36 0.00 0.24
6 5.0492 0.00 0.14 0.00 0.74
7 7.1946 0.00 0.39 0.00 0.39
8 7.1948 0.00 0.44 0.00 0.11
9 7.1972 0.00 0.04 0.00 0.11
10 7.1975 0.00 0.50 0.00 0.36
11 7.1977 0.00 -0.10 0.00 0.07
12 7.2031 0.00 0.38 0.00 0.18
13 7.2032 0.00 0.24 0.00 0.11
14 7.2549 0.00 0.38 0.00 -0.20
15 7.2552 0.00 -1.03 0.00 0.67
16 7.2578 0.00 -0.20 0.00 -0.35
17 7.2579 0.00 -0.44 0.00 -0.52
18 7.4244 0.00 -0.30 0.00 1.18
19 7.4246 0.00 0.34 0.00 0.88
20 8.2378 0.00 0.52 0.00 -1.46
21 8.2381 0.00 0.02 0.00 0.23
22 11.3234 0.00 -0.02 0.00 -0.76
23 11.3234 0.00 -0.18 0.00 -0.71
24 11.3234 0.00 -0.36 0.00 -0.72
25 11.3234 0.00 -0.36 0.00 -0.68
26 11.3261 0.00 -0.16 0.00 -0.68
27 11.3261 0.00 -0.19 0.00 -0.73
28 11.3262 0.00 -0.28 0.00 -0.79
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.
10ES65 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 21.305 21.305 21.306 ecceobj 0.554 0.554 0.554 incobj 10.417 10.417 10.417 qmin 9.498 9.498 9.498 qmax 33.112 33.112 33.113 amean 21.305 21.305 21.306 amin 21.305 21.305 21.306 amax 21.305 21.305 21.306 emean 0.554 0.554 0.554 emin 0.554 0.554 0.554 emax 0.554 0.554 0.554 imean 11.958 11.958 11.958 imin 11.958 11.958 11.958 imax 11.958 11.958 11.958 excite_mean 0.592 0.592 0.592 fracstop 0.000 0.000 0.000 cjmean 2.784 2.784 2.784 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 236.9 236.9 236.9 kozaiamp 0.0 0.0 0.0