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: 500878
# Created Sun Dec 22 02:07:14 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 32 observations of 32
# Arc: 4.12y
# First observation: 2013/04/09
# Last observation: 2017/05/21
# Chi-squared of fit: 12.63 DOF: 58 RMS: 0.11
# Min/Max residuals: -0.30 0.44
# Exact a, adot, b, bdot, g, gdot:
1.402144E-05 1.892320E-02 3.087148E-06 5.355719E-03 2.225736E-02 -7.479477E-04
# 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
9.100542 -122.698115 0.611166 0.125856 -0.785573 2456392.036308
# Heliocentric elements and errors
Epoch: 2456392.5000 = 2013/04/10
Mean Anomaly: 209.82844 +/- 0.000
Argument of Peri: 185.58464 +/- 0.000
Long of Asc Node: 207.99153 +/- 0.000
Inclination: 18.23279 +/- 0.000
Eccentricity: 0.11067990 +/- 0.0000
Semi-Major Axis: 41.61106011 +/- 0.0000
Time of Perihelion: 2497290.0038 +/- 0.0
Perihelion: 37.00555213 +/- 0.0000
Aphelion: 46.21656808 +/- 0.0000
Period (y) 268.4240 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -24.90856135 +/- 0.0000
Ecliptic Y -37.67020891 +/- 0.0000
Ecliptic Z 7.10646982 +/- 0.0000
Ecliptic XDOT 0.00205791 +/- 0.0000
Ecliptic YDOT -0.00109297 +/- 0.0000
Ecliptic ZDOT 0.00063610 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.71636317 +/- 0.0000
Geocenter to KBO 44.92900972 +/- 0.0000
# Hcoef: 7.64
The following table shows the complete astrometric record for 500878. 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 (500878) followed by the observatory code and reference code for the source of the astrometry.
2013 04 09.53553 15 48 29.728 -10 41 06.44 500878 568 C~1XRc 2013 04 10.50462 15 48 26.604 -10 40 45.46 500878 568 C~1XRc 2013 04 10.54490 15 48 26.458 -10 40 44.69 24.3r 500878 568 C~1XRc 2013 04 19.55776 15 47 54.772 -10 37 28.99 24.3r 500878 568 C~1XRc 2013 05 04.44379 15 46 54.931 -10 32 14.43 23.7r 500878 568 C~1XRc 2013 05 07.43599 15 46 42.120 -10 31 13.97 24.1r 500878 568 C~1XRc 2013 05 07.48020 15 46 41.911 -10 31 13.11 24.2r 500878 568 C~1XRc 2013 05 07.52039 15 46 41.734 -10 31 12.39 24.1r 500878 568 C~1XRc 2013 05 09.48057 15 46 33.242 -10 30 33.47 24.3r 500878 568 C~1XRc 2013 05 10.48774 15 46 28.849 -10 30 13.71 24.2r 500878 568 C~1XRc 2013 06 01.40276 15 44 52.458 -10 23 55.47 24.4r 500878 568 C~1XRc 2013 06 01.40895 15 44 52.457 -10 23 55.18 24.1r 500878 568 C~1XRc 2013 06 02.40261 15 44 48.159 -10 23 40.75 24.2r 500878 568 C~1XRc 2013 06 06.37184 15 44 31.309 -10 22 45.83 500878 568 C~1XRc 2013 07 02.32424 15 42 55.717 -10 18 49.52 24.2r 500878 568 C~1XRc 2013 07 03.36215 15 42 52.588 -10 18 44.97 24.4r 500878 568 C~1XRc 2014 04 04.52511 15 53 19.929 -10 39 06.99 23.9r 500878 568 C~1XRc 2014 04 30.40515 15 51 48.315 -10 29 53.37 24.5r 500878 568 C~1XRc 2014 04 30.45667 15 51 48.116 -10 29 52.36 23.4r 500878 568 C~1XRc 2014 05 05.45039 15 51 27.204 -10 28 10.40 24.6r 500878 568 C~1XRc 2014 05 06.39222 15 51 23.181 -10 27 51.47 23.9r 500878 568 C~1XRc 2014 05 06.51006 15 51 22.676 -10 27 48.98 23.6r 500878 568 C~1XRc 2014 05 06.53514 15 51 22.557 -10 27 48.61 24.1r 500878 568 C~1XRc 2014 06 02.45717 15 49 24.279 -10 20 01.00 24.0r 500878 568 C~1XRc 2014 07 01.36375 15 47 33.184 -10 15 19.77 24.3r 500878 568 C~1XRc 2015 03 22.60347 15 58 24.762 -10 39 34.03 24.2r 500878 568 C~1XRc 2015 08 11.30815 15 50 52.681 -10 13 08.49 24.3r 500878 568 C~2LSW 2016 05 29.38457 15 58 53.196 -10 12 44.71 24.5w 500878 568 C~2LSW 2016 06 03.42470 15 58 31.048 -10 11 34.15 24.4w 500878 568 C~2LSW 2017 01 31.65575 16 07 06.633 -10 42 55.86 24.2w 500878 568 C~2LSW 2017 03 30.59137 16 07 18.149 -10 27 43.31 24.7w 500878 568 C~2LSW 2017 05 21.55690 16 04 07.160 -10 10 23.40 24.7w 500878 568 C~2LSW
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 -0.09 0.00 0.17
2 0.0027 0.00 0.15 0.00 0.12
3 0.0028 0.00 -0.01 0.00 0.02
4 0.0274 0.00 -0.16 0.00 -0.02
5 0.0682 0.00 -0.10 0.00 0.03
6 0.0764 0.00 0.17 0.00 0.05
7 0.0765 0.00 -0.05 0.00 0.03
8 0.0766 0.00 -0.06 0.00 -0.05
9 0.0820 0.00 0.07 0.00 0.00
10 0.0847 0.00 0.10 0.00 0.03
11 0.1447 0.00 0.05 0.00 -0.29
12 0.1448 0.00 0.44 0.00 -0.09
13 0.1475 0.00 -0.00 0.00 -0.08
14 0.1583 0.00 -0.30 0.00 -0.00
15 0.2294 0.00 -0.03 0.00 0.10
16 0.2322 0.00 -0.10 0.00 -0.04
17 0.9856 0.00 -0.03 0.00 0.03
18 1.0565 0.00 -0.14 0.00 0.04
19 1.0566 0.00 0.12 0.00 -0.02
20 1.0703 0.00 0.14 0.00 -0.03
21 1.0728 0.00 -0.01 0.00 0.03
22 1.0732 0.00 0.11 0.00 0.17
23 1.0732 0.00 -0.04 0.00 0.04
24 1.1469 0.00 -0.04 0.00 -0.05
25 1.2261 0.00 -0.11 0.00 -0.09
26 1.9495 0.00 -0.00 0.00 -0.14
27 2.3375 0.00 0.07 0.00 -0.05
28 3.1372 0.00 0.02 0.00 -0.02
29 3.1510 0.00 -0.08 0.00 -0.10
30 3.8142 0.00 0.07 0.00 0.08
31 3.9728 0.00 -0.00 0.00 0.13
32 4.1150 0.00 -0.07 0.00 -0.02
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.
500878 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.518 41.518 41.518 ecceobj 0.114 0.114 0.114 incobj 18.276 18.276 18.276 qmin 36.236 36.237 36.235 qmax 47.672 47.660 47.642 amean 41.811 41.811 41.811 amin 41.466 41.477 41.480 amax 42.180 42.180 42.173 emean 0.116 0.117 0.116 emin 0.101 0.103 0.102 emax 0.130 0.131 0.131 imean 18.957 18.939 18.962 imin 18.414 18.390 18.411 imax 19.615 19.614 19.616 excite_mean 0.345 0.345 0.345 fracstop 1.000 1.000 1.000 cjmean 2.934 2.934 2.934 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 181.7 182.8 182.3 kozaiamp 180.0 180.0 180.0