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: 500828
# Created Fri Nov 22 02:07:12 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 4.15y
# First observation: 2013/04/04
# Last observation: 2017/05/30
# Chi-squared of fit: 9.69 DOF: 50 RMS: 0.10
# Min/Max residuals: -0.24 0.26
# Exact a, adot, b, bdot, g, gdot:
1.536781E-05 2.516865E-02 9.144731E-07 6.996281E-04 2.494295E-02 -1.009668E-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
0.409874 -146.734258 0.318421 0.006828 -0.949604 2456386.906608
# Heliocentric elements and errors
Epoch: 2456386.5000 = 2013/04/04
Mean Anomaly: 324.19950 +/- 0.000
Argument of Peri: 55.20780 +/- 0.000
Long of Asc Node: 198.77024 +/- 0.000
Inclination: 1.64926 +/- 0.000
Eccentricity: 0.07400645 +/- 0.0000
Semi-Major Axis: 43.56588330 +/- 0.0000
Time of Perihelion: 2466831.4136 +/- 0.0
Perihelion: 40.34172706 +/- 0.0000
Aphelion: 46.79003955 +/- 0.0000
Period (y) 287.5597 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.48869415 +/- 0.0000
Ecliptic Y -22.24316722 +/- 0.0000
Ecliptic Z 0.28685458 +/- 0.0000
Ecliptic XDOT 0.00160219 +/- 0.0000
Ecliptic YDOT -0.00224843 +/- 0.0000
Ecliptic ZDOT 0.00007614 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.04038509 +/- 0.0000
Geocenter to KBO 40.09153820 +/- 0.0000
# Hcoef: 7.80
The following table shows the complete astrometric record for 500828. 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 (500828) followed by the observatory code and reference code for the source of the astrometry.
2013 04 04.40583 14 04 44.678 -12 13 02.52 23.5r 500828 568 C~1XRV 2013 04 04.44572 14 04 44.497 -12 13 01.40 23.2r 500828 568 C~1XRV 2013 04 04.48637 14 04 44.309 -12 13 00.68 23.4r 500828 568 C~1XRV 2013 04 05.48653 14 04 39.873 -12 12 36.19 23.7r 500828 568 C~1XRV 2013 04 05.49540 14 04 39.812 -12 12 35.97 500828 568 C~1XRV 2013 04 05.50731 14 04 39.760 -12 12 35.68 23.7r 500828 568 C~1XRV 2013 04 05.51127 14 04 39.753 -12 12 35.65 24.2r 500828 568 C~1XRV 2013 04 06.57873 14 04 34.987 -12 12 09.46 23.3r 500828 568 C~1XRV 2013 05 11.41001 14 01 53.386 -11 57 33.23 23.9r 500828 568 C~1XRV 2013 05 12.41142 14 01 48.937 -11 57 09.42 23.9r 500828 568 C~1XRV 2013 06 13.24964 13 59 52.807 -11 46 43.63 24.0r 500828 568 C~1XRV 2013 06 13.29009 13 59 52.692 -11 46 43.18 24.1r 500828 568 C~1XRV 2013 07 04.27116 13 59 14.275 -11 43 19.13 24.1r 500828 568 C~1XRV 2013 07 06.27808 13 59 12.555 -11 43 10.26 24.2r 500828 568 C~1XRV 2014 02 24.55846 14 12 31.185 -12 51 46.50 24.2r 500828 568 C~1XRV 2014 02 25.52781 14 12 29.289 -12 51 35.78 24.0r 500828 568 C~1XRV 2014 02 27.63879 14 12 24.930 -12 51 11.20 23.8r 500828 568 C~1XRV 2014 03 28.43390 14 10 52.364 -12 42 45.39 24.1r 500828 568 C~1XRV 2014 03 28.47295 14 10 52.210 -12 42 44.59 23.9r 500828 568 C~1XRV 2014 04 05.40246 14 10 18.389 -12 39 43.01 23.7r 500828 568 C~1XRV 2014 05 22.39326 14 06 43.491 -12 20 39.35 23.8r 500828 568 C~1XRV 2014 05 28.36997 14 06 19.793 -12 18 34.04 500828 568 C~1XRV 2014 06 26.31711 14 04 56.790 -12 11 18.00 23.9r 500828 568 C~1XRV 2014 07 18.28369 14 04 38.648 -12 09 47.59 500828 568 C~1XRV 2015 01 26.63271 14 18 18.844 -13 19 28.26 24.8r 500828 568 C~1XRV 2017 05 25.46246 14 23 30.801 -13 39 01.04 23.8r 500828 568 C~2KOF 2017 05 30.28159 14 23 11.083 -13 37 23.21 23.9r 500828 568 C~2KOF 2017 05 30.34663 14 23 10.813 -13 37 21.95 23.8r 500828 568 C~2KOF
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 0.08 0.00 -0.13
2 0.0001 0.00 0.06 0.00 0.03
3 0.0002 0.00 -0.01 0.00 -0.23
4 0.0030 0.00 0.07 0.00 0.06
5 0.0030 0.00 -0.24 0.00 0.06
6 0.0030 0.00 -0.21 0.00 0.06
7 0.0030 0.00 -0.05 0.00 -0.00
8 0.0059 0.00 0.17 0.00 0.17
9 0.1013 0.00 0.13 0.00 0.12
10 0.1041 0.00 -0.10 0.00 -0.03
11 0.1912 0.00 0.03 0.00 0.08
12 0.1913 0.00 -0.03 0.00 -0.04
13 0.2488 0.00 0.01 0.00 -0.09
14 0.2543 0.00 0.15 0.00 -0.14
15 0.8930 0.00 0.26 0.00 0.05
16 0.8956 0.00 -0.10 0.00 0.08
17 0.9014 0.00 0.09 0.00 -0.04
18 0.9802 0.00 -0.14 0.00 0.06
19 0.9803 0.00 0.00 0.00 0.00
20 1.0020 0.00 -0.05 0.00 -0.03
21 1.1307 0.00 -0.04 0.00 0.00
22 1.1471 0.00 -0.21 0.00 0.05
23 1.2263 0.00 -0.02 0.00 0.04
24 1.2865 0.00 0.15 0.00 -0.04
25 1.8131 0.00 0.08 0.00 -0.14
26 4.1398 0.00 -0.02 0.00 0.06
27 4.1530 0.00 0.03 0.00 -0.00
28 4.1532 0.00 -0.06 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.
500828 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.391 43.391 43.391 ecceobj 0.073 0.073 0.073 incobj 1.652 1.652 1.652 qmin 39.422 39.423 39.421 qmax 48.286 48.278 48.293 amean 43.727 43.727 43.727 amin 43.357 43.358 43.357 amax 44.114 44.112 44.111 emean 0.077 0.078 0.077 emin 0.055 0.056 0.057 emax 0.095 0.095 0.095 imean 3.166 3.136 3.161 imin 2.086 1.961 2.026 imax 4.365 4.364 4.372 excite_mean 0.096 0.096 0.096 fracstop 1.000 1.000 1.000 cjmean 3.087 3.087 3.087 libcent 0 177.8 179.2 180.9 libamp 0 91.3 92.5 94.4 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 163.1 163.3 162.2 kozaiamp 179.7 179.9 179.8