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: 500834
# Created Sun Dec 22 02:07:13 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 40 observations of 40
# Arc: 4.22y
# First observation: 2013/03/07
# Last observation: 2017/05/28
# Chi-squared of fit: 12.98 DOF: 74 RMS: 0.10
# Min/Max residuals: -0.24 0.47
# Exact a, adot, b, bdot, g, gdot:
1.307365E-05 1.855665E-02 -3.031941E-06 -3.219468E-03 2.222099E-02 1.641714E-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
1.201470 -140.849553 0.782738 0.012843 -0.610616 2456359.067598
# Heliocentric elements and errors
Epoch: 2456358.5000 = 2013/03/07
Mean Anomaly: 152.80730 +/- 0.000
Argument of Peri: 12.42007 +/- 0.000
Long of Asc Node: 44.97659 +/- 0.000
Inclination: 9.89550 +/- 0.000
Eccentricity: 0.18098937 +/- 0.0000
Semi-Major Axis: 39.10788472 +/- 0.0000
Time of Perihelion: 2418441.2768 +/- 0.0
Perihelion: 32.02977316 +/- 0.0000
Aphelion: 46.18599627 +/- 0.0000
Period (y) 244.5708 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.85792377 +/- 0.0000
Ecliptic Y -28.18301141 +/- 0.0000
Ecliptic Z 0.94349297 +/- 0.0000
Ecliptic XDOT 0.00127399 +/- 0.0000
Ecliptic YDOT -0.00190530 +/- 0.0000
Ecliptic ZDOT -0.00039221 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.61753003 +/- 0.0000
Geocenter to KBO 45.00246823 +/- 0.0000
# Hcoef: 7.16
The following table shows the complete astrometric record for 500834. 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 (500834) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.56682 14 28 36.442 -13 24 21.03 24.5r 500834 568 C~1XRX 2013 03 07.61868 14 28 36.297 -13 24 20.49 23.7r 500834 568 C~1XRX 2013 04 04.56271 14 27 03.906 -13 17 11.78 23.6r 500834 568 C~1XRX 2013 04 07.42293 14 26 52.301 -13 16 18.37 23.8r 500834 568 C~1XRX 2013 04 07.48157 14 26 52.059 -13 16 17.17 23.7r 500834 568 C~1XRX 2013 04 07.48656 14 26 52.023 -13 16 16.97 23.7r 500834 568 C~1XRX 2013 04 07.50053 14 26 51.978 -13 16 16.67 23.4r 500834 568 C~1XRX 2013 04 08.45527 14 26 48.029 -13 15 58.58 23.1r 500834 568 C~1XRX 2013 04 08.50045 14 26 47.840 -13 15 57.68 23.3r 500834 568 C~1XRX 2013 04 08.50934 14 26 47.796 -13 15 57.52 22.9r 500834 568 C~1XRX 2013 04 08.54607 14 26 47.680 -13 15 56.66 24.1r 500834 568 C~1XRX 2013 04 09.40177 14 26 44.100 -13 15 40.42 23.8r 500834 568 C~1XRX 2013 04 09.44495 14 26 43.911 -13 15 39.66 24.1r 500834 568 C~1XRX 2013 04 09.48873 14 26 43.720 -13 15 38.81 23.9r 500834 568 C~1XRX 2013 04 09.49693 14 26 43.697 -13 15 38.69 23.2r 500834 568 C~1XRX 2013 04 09.50177 14 26 43.675 -13 15 38.58 23.6r 500834 568 C~1XRX 2013 04 09.50867 14 26 43.638 -13 15 38.47 23.6r 500834 568 C~1XRX 2013 04 09.53112 14 26 43.544 -13 15 37.92 23.6r 500834 568 C~1XRX 2013 04 10.50021 14 26 39.488 -13 15 19.22 23.9r 500834 568 C~1XRX 2013 04 10.54048 14 26 39.310 -13 15 18.53 24.0r 500834 568 C~1XRX 2013 05 11.49012 14 24 22.926 -13 05 01.65 23.6r 500834 568 C~1XRX 2013 07 06.27023 14 21 28.192 -12 53 13.60 24.0r 500834 568 C~1XRX 2013 08 02.28256 14 21 21.206 -12 54 11.63 23.7r 500834 568 C~1XRX 2013 08 05.28429 14 21 24.160 -12 54 36.95 23.9r 500834 568 C~1XRX 2014 02 24.59345 14 32 52.355 -13 56 30.48 24.2r 500834 568 C~1XRX 2014 02 28.52445 14 32 45.886 -13 56 01.82 23.3r 500834 568 C~1XRX 2014 04 04.43513 14 31 01.043 -13 48 09.20 23.8r 500834 568 C~1XRX 2014 04 04.47439 14 31 00.882 -13 48 08.57 24.2r 500834 568 C~1XRX 2014 04 05.55924 14 30 56.549 -13 47 49.12 23.7r 500834 568 C~1XRX 2014 05 22.43425 14 27 33.153 -13 32 48.55 24.0r 500834 568 C~1XRX 2014 06 26.33823 14 25 39.151 -13 25 05.33 24.1r 500834 568 C~1XRX 2014 07 18.31323 14 25 09.128 -13 23 45.80 24.0r 500834 568 C~1XRX 2016 05 10.32654 14 36 16.640 -14 37 41.53 23.3r 500834 568 C~2KOF 2016 05 10.40239 14 36 16.306 -14 37 40.29 21.9r 500834 568 C~2KOF 2016 05 29.35189 14 34 56.272 -14 32 03.13 23.9w 500834 568 C~2KOF 2017 01 31.65143 14 44 41.880 -15 25 49.32 24.2w 500834 568 C~2KOF 2017 02 03.64785 14 44 44.036 -15 26 02.98 500834 568 C~2KOF 2017 02 23.64639 14 44 37.835 -15 25 59.05 500834 568 C~2KOF 2017 05 28.35383 14 38 58.781 -15 02 38.00 23.8r 500834 568 C~2KOF 2017 05 28.41896 14 38 58.515 -15 02 36.91 23.8r 500834 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 0.14
2 0.0001 0.00 -0.14 0.00 0.09
3 0.0766 0.00 -0.10 0.00 -0.05
4 0.0845 0.00 0.01 0.00 -0.18
5 0.0846 0.00 0.07 0.00 -0.09
6 0.0847 0.00 -0.16 0.00 0.02
7 0.0847 0.00 0.05 0.00 0.05
8 0.0873 0.00 -0.05 0.00 -0.01
9 0.0874 0.00 -0.02 0.00 0.03
10 0.0875 0.00 -0.12 0.00 0.02
11 0.0876 0.00 0.47 0.00 0.18
12 0.0899 0.00 0.06 0.00 0.03
13 0.0900 0.00 -0.02 0.00 -0.03
14 0.0901 0.00 -0.08 0.00 -0.02
15 0.0902 0.00 0.10 0.00 -0.06
16 0.0902 0.00 0.07 0.00 -0.04
17 0.0902 0.00 -0.04 0.00 -0.07
18 0.0903 0.00 -0.01 0.00 0.05
19 0.0929 0.00 0.12 0.00 0.07
20 0.0930 0.00 0.04 0.00 -0.02
21 0.1778 0.00 -0.04 0.00 -0.08
22 0.3305 0.00 -0.02 0.00 -0.03
23 0.4044 0.00 0.02 0.00 0.03
24 0.4126 0.00 -0.07 0.00 -0.10
25 0.9693 0.00 -0.04 0.00 0.09
26 0.9800 0.00 0.02 0.00 -0.01
27 1.0756 0.00 -0.01 0.00 0.12
28 1.0757 0.00 -0.04 0.00 0.05
29 1.0787 0.00 -0.02 0.00 0.00
30 1.2070 0.00 0.03 0.00 -0.18
31 1.3026 0.00 -0.13 0.00 -0.06
32 1.3628 0.00 0.00 0.00 0.08
33 3.1752 0.00 -0.05 0.00 0.02
34 3.1755 0.00 0.08 0.00 -0.17
35 3.2273 0.00 0.11 0.00 0.01
36 3.9044 0.00 0.02 0.00 0.09
37 3.9126 0.00 0.13 0.00 -0.24
38 3.9674 0.00 -0.22 0.00 -0.00
39 4.2239 0.00 -0.02 0.00 0.12
40 4.2241 0.00 -0.01 0.00 0.13
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.
500834 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 38.988 38.988 38.987 ecceobj 0.183 0.183 0.183 incobj 9.911 9.911 9.911 qmin 30.378 30.411 30.378 qmax 49.351 49.564 49.543 amean 39.458 39.458 39.458 amin 38.857 38.887 38.871 amax 40.132 40.138 40.130 emean 0.196 0.196 0.196 emin 0.154 0.154 0.154 emax 0.232 0.235 0.235 imean 6.657 6.682 6.663 imin 4.229 4.598 4.477 imax 9.616 9.613 9.619 excite_mean 0.229 0.229 0.229 fracstop 1.000 1.000 1.000 cjmean 2.992 2.991 2.992 libcent 0 180.5 180.4 180.7 libamp 0 139.4 139.2 139.5 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 183.9 188.3 186.4 kozaiamp 180.0 180.0 180.0