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: 500876
# Created Mon Apr 28 01:07:14 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 22 observations of 22
# Arc: 3.12y
# First observation: 2013/04/19
# Last observation: 2016/06/03
# Chi-squared of fit: 13.83 DOF: 38 RMS: 0.14
# Min/Max residuals: -0.31 0.38
# Exact a, adot, b, bdot, g, gdot:
1.182814E-05 1.753813E-02 -1.389698E-05 -2.081289E-02 2.386709E-02 -1.088165E-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
8.558252 -118.776233 0.529406 0.127365 -0.846237 2456401.964858
# Heliocentric elements and errors
Epoch: 2456402.5000 = 2013/04/20
Mean Anomaly: 356.60847 +/- 0.000
Argument of Peri: 177.93607 +/- 0.000
Long of Asc Node: 67.51186 +/- 0.000
Inclination: 50.39931 +/- 0.000
Eccentricity: 0.40920233 +/- 0.0000
Semi-Major Axis: 72.10288054 +/- 0.0000
Time of Perihelion: 2458509.2857 +/- 0.0
Perihelion: 42.59821413 +/- 0.0000
Aphelion: 101.60754695 +/- 0.0000
Period (y) 612.2617 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -20.82001422 +/- 0.0000
Ecliptic Y -36.80855672 +/- 0.0000
Ecliptic Z 6.23461411 +/- 0.0000
Ecliptic XDOT 0.00164546 +/- 0.0000
Ecliptic YDOT -0.00117146 +/- 0.0000
Ecliptic ZDOT -0.00237934 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.74594876 +/- 0.0000
Geocenter to KBO 41.89874715 +/- 0.0000
# Hcoef: 7.94
The following table shows the complete astrometric record for 500876. 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 (500876) followed by the observatory code and reference code for the source of the astrometry.
2013 04 19.46408 16 03 30.275 -12 01 08.61 24.0r 500876 568 C~1WkX 2013 04 19.51699 16 03 30.039 -12 01 08.20 24.1r 500876 568 C~1WkX 2013 05 08.45126 16 02 03.388 -11 59 05.13 24.5r 500876 568 C~1WkX 2013 05 08.49533 16 02 03.154 -11 59 04.87 24.2r 500876 568 C~1WkX 2013 05 08.53916 16 02 02.946 -11 59 04.62 24.2r 500876 568 C~1WkX 2013 05 09.54622 16 01 57.975 -11 58 59.06 24.0r 500876 568 C~1WkX 2013 06 06.41667 15 59 37.245 -11 57 39.66 500876 568 C~1WkX 2013 07 02.36871 15 57 41.387 -11 59 26.95 24.2r 500876 568 C~1WkX 2013 07 04.35949 15 57 33.899 -11 59 43.90 24.3r 500876 568 C~1WkX 2014 03 06.59624 16 08 25.396 -13 26 01.78 24.3r 500876 568 C~1WkX 2014 03 07.57089 16 08 24.829 -13 26 01.32 24.5r 500876 568 C~1WkX 2014 05 01.41383 16 05 43.677 -13 22 00.20 23.9r 500876 568 C~1WkX 2014 05 01.46525 16 05 43.428 -13 22 00.30 24.2r 500876 568 C~1WkX 2014 05 01.52391 16 05 43.159 -13 21 59.86 24.4r 500876 568 C~1WkX 2014 05 22.53356 16 03 58.584 -13 20 27.52 23.6r 500876 568 C~1WkX 2014 05 22.55345 16 03 58.489 -13 20 27.05 500876 568 C~1WkX 2014 05 25.49282 16 03 43.380 -13 20 19.14 24.3r 500876 568 C~1WkX 2015 03 22.57427 16 11 11.913 -14 46 41.77 24.3r 500876 568 C~1WkX 2015 04 18.56543 16 09 49.188 -14 45 12.41 23.9r 500876 568 C~1WkX 2015 08 11.31763 16 02 10.498 -14 51 31.10 24.5r 500876 568 C~2LSW 2016 05 29.39274 16 09 38.935 -16 05 07.31 24.3w 500876 568 C~2LSW 2016 06 03.43279 16 09 12.837 -16 05 01.56 24.3w 500876 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 -0.04 0.00 0.03
2 0.0001 0.00 -0.22 0.00 0.07
3 0.0520 0.00 0.02 0.00 0.04
4 0.0521 0.00 -0.18 0.00 0.05
5 0.0522 0.00 -0.01 0.00 0.06
6 0.0550 0.00 -0.06 0.00 0.06
7 0.1313 0.00 0.27 0.00 -0.13
8 0.2023 0.00 -0.11 0.00 -0.19
9 0.2078 0.00 -0.01 0.00 -0.14
10 0.8792 0.00 0.05 0.00 0.08
11 0.8819 0.00 0.38 0.00 -0.04
12 1.0320 0.00 0.11 0.00 0.27
13 1.0322 0.00 0.06 0.00 -0.11
14 1.0323 0.00 0.23 0.00 0.01
15 1.0899 0.00 -0.10 0.00 -0.31
16 1.0899 0.00 0.02 0.00 0.10
17 1.0980 0.00 -0.06 0.00 -0.05
18 1.9223 0.00 -0.19 0.00 0.21
19 1.9962 0.00 -0.03 0.00 0.15
20 2.3103 0.00 0.03 0.00 0.02
21 3.1100 0.00 0.02 0.00 -0.19
22 3.1238 0.00 -0.10 0.00 0.01
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.
500876 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 71.766 71.765 71.766 ecceobj 0.407 0.407 0.407 incobj 50.418 50.418 50.418 qmin 40.700 40.650 40.689 qmax 105.409 105.485 105.693 amean 72.368 72.367 72.367 amin 71.539 71.505 71.503 amax 73.463 73.492 73.562 emean 0.418 0.418 0.418 emin 0.405 0.405 0.405 emax 0.436 0.437 0.437 imean 48.922 48.922 48.922 imin 48.469 48.463 48.468 imax 49.396 49.395 49.396 excite_mean 0.862 0.862 0.862 fracstop 1.000 1.000 1.000 cjmean 2.267 2.267 2.267 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 213.0 213.0 213.0 kozaiamp 35.4 35.5 35.4