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: 500829
# Created Tue Apr 23 01:08:08 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 41 observations of 41
# Arc: 3.99y
# First observation: 2013/04/04
# Last observation: 2017/03/31
# Chi-squared of fit: 22.18 DOF: 76 RMS: 0.13
# Min/Max residuals: -0.45 0.23
# Exact a, adot, b, bdot, g, gdot:
1.319947E-05 1.689373E-02 -2.055918E-06 -3.589154E-03 2.087225E-02 3.639308E-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
1.829810 -147.171683 0.311031 0.030434 -0.951591 2456386.914608
# Heliocentric elements and errors
Epoch: 2456386.5000 = 2013/04/04
Mean Anomaly: 172.75245 +/- 0.000
Argument of Peri: 356.79411 +/- 0.000
Long of Asc Node: 40.84046 +/- 0.000
Inclination: 12.13230 +/- 0.000
Eccentricity: 0.15577855 +/- 0.0000
Semi-Major Axis: 42.30964531 +/- 0.0000
Time of Perihelion: 2408149.6176 +/- 0.0
Perihelion: 35.71870999 +/- 0.0000
Aphelion: 48.90058063 +/- 0.0000
Period (y) 275.2119 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.20621505 +/- 0.0000
Ecliptic Y -26.21295261 +/- 0.0000
Ecliptic Z 1.52974289 +/- 0.0000
Ecliptic XDOT 0.00114232 +/- 0.0000
Ecliptic YDOT -0.00189570 +/- 0.0000
Ecliptic ZDOT -0.00046889 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.86113083 +/- 0.0000
Geocenter to KBO 47.91052157 +/- 0.0000
# Hcoef: 7.33
The following table shows the complete astrometric record for 500829. 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 (500829) followed by the observatory code and reference code for the source of the astrometry.
2013 04 04.41383 14 05 02.280 -10 44 00.05 24.0r 500829 568 C~1XRV 2013 04 04.45396 14 05 02.118 -10 43 59.14 23.8r 500829 568 C~1XRV 2013 04 04.49439 14 05 01.981 -10 43 58.46 24.4r 500829 568 C~1XRV 2013 04 05.53143 14 04 57.917 -10 43 38.32 23.5r 500829 568 C~1XRV 2013 04 05.53531 14 04 57.922 -10 43 38.44 24.0r 500829 568 C~1XRV 2013 04 06.58684 14 04 53.782 -10 43 17.71 23.9r 500829 568 C~1XRV 2013 05 12.41931 14 02 28.219 -10 31 36.59 24.2r 500829 568 C~1XRV 2013 06 13.29820 14 00 44.620 -10 24 09.90 500829 568 C~1XRV 2013 07 04.29102 14 00 08.001 -10 22 19.48 24.3r 500829 568 C~1XRV 2013 07 06.29852 14 00 06.117 -10 22 18.18 24.3r 500829 568 C~1XRV 2014 02 25.51607 14 10 22.638 -11 24 50.51 24.1r 500829 568 C~1XRV 2014 02 25.55969 14 10 22.567 -11 24 49.86 24.3r 500829 568 C~1XRV 2014 02 25.60433 14 10 22.470 -11 24 49.33 24.3r 500829 568 C~1XRV 2014 02 27.62682 14 10 18.493 -11 24 29.12 24.3r 500829 568 C~1XRV 2014 03 27.41673 14 08 58.407 -11 17 47.38 24.2r 500829 568 C~1XRV 2014 03 28.41797 14 08 54.816 -11 17 29.94 24.4r 500829 568 C~1XRV 2014 03 28.45726 14 08 54.679 -11 17 29.03 24.3r 500829 568 C~1XRV 2014 04 29.33023 14 06 47.193 -11 07 11.06 24.2r 500829 568 C~1XRV 2014 04 29.33527 14 06 47.162 -11 07 10.83 24.1r 500829 568 C~1XRV 2014 04 29.37062 14 06 47.019 -11 07 10.19 24.1r 500829 568 C~1XRV 2014 04 29.37566 14 06 47.009 -11 07 10.25 24.3r 500829 568 C~1XRV 2014 04 29.41097 14 06 46.855 -11 07 09.51 24.2r 500829 568 C~1XRV 2014 04 29.41601 14 06 46.835 -11 07 09.51 24.4r 500829 568 C~1XRV 2014 05 22.40174 14 05 16.630 -11 00 13.61 24.1r 500829 568 C~1XRV 2014 05 28.37385 14 04 55.810 -10 58 42.37 24.2r 500829 568 C~1XRV 2014 06 26.30540 14 03 41.480 -10 53 52.30 500829 568 C~1XRV 2015 01 26.65311 14 14 07.267 -11 57 10.76 24.3r 500829 568 C~1XRV 2015 04 19.41871 14 10 55.695 -11 41 44.53 24.2r 500829 568 C~2KOF 2015 04 19.48487 14 10 55.436 -11 41 43.39 23.7r 500829 568 C~2KOF 2015 04 27.40797 14 10 22.562 -11 39 07.79 24.3r 500829 568 C~2KOF 2016 02 04.64352 14 17 33.357 -12 27 44.39 24.5w 500829 568 C~2KOF 2016 02 11.62203 14 17 30.769 -12 27 34.59 24.6w 500829 568 C~2KOF 2016 03 11.62923 14 16 40.000 -12 23 36.22 24.2w 500829 568 C~2KOF 2016 03 12.50183 14 16 37.604 -12 23 24.73 24.2w 500829 568 C~2KOF 2016 04 03.49791 14 15 23.846 -12 17 34.41 24.2w 500829 568 C~2KOF 2016 04 09.47907 14 15 00.536 -12 15 44.04 24.2w 500829 568 C~2KOF 2017 01 31.64679 14 20 58.230 -12 57 53.40 24.9w 500829 568 C~2KOF 2017 02 03.64338 14 20 58.630 -12 57 57.37 500829 568 C~2KOF 2017 02 23.64186 14 20 42.616 -12 56 53.26 500829 568 C~2KOF 2017 03 28.58864 14 19 14.806 -12 50 08.90 500829 568 C~2KOF 2017 03 31.46997 14 19 04.383 -12 49 20.37 24.2w 500829 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 -0.13 0.00 -0.10
2 0.0001 0.00 -0.18 0.00 0.03
3 0.0002 0.00 0.17 0.00 -0.07
4 0.0031 0.00 -0.09 0.00 -0.09
5 0.0031 0.00 0.22 0.00 -0.28
6 0.0059 0.00 0.10 0.00 -0.11
7 0.1041 0.00 -0.05 0.00 0.16
8 0.1913 0.00 0.07 0.00 0.07
9 0.2488 0.00 0.01 0.00 0.23
10 0.2543 0.00 -0.05 0.00 0.10
11 0.8956 0.00 -0.07 0.00 -0.13
12 0.8957 0.00 0.15 0.00 0.10
13 0.8958 0.00 0.01 0.00 0.20
14 0.9013 0.00 -0.02 0.00 0.14
15 0.9774 0.00 -0.45 0.00 0.13
16 0.9802 0.00 -0.14 0.00 -0.31
17 0.9803 0.00 -0.02 0.00 -0.10
18 1.0675 0.00 0.08 0.00 0.01
19 1.0675 0.00 -0.07 0.00 0.14
20 1.0676 0.00 0.01 0.00 0.09
21 1.0677 0.00 0.18 0.00 -0.07
22 1.0678 0.00 0.10 0.00 -0.02
23 1.0678 0.00 0.11 0.00 -0.12
24 1.1307 0.00 0.21 0.00 0.13
25 1.1471 0.00 -0.05 0.00 -0.04
26 1.2263 0.00 -0.01 0.00 -0.05
27 1.8131 0.00 0.03 0.00 0.03
28 2.0397 0.00 -0.38 0.00 0.01
29 2.0399 0.00 -0.09 0.00 -0.14
30 2.0616 0.00 0.15 0.00 0.12
31 2.8370 0.00 0.04 0.00 -0.05
32 2.8561 0.00 0.10 0.00 -0.00
33 2.9356 0.00 -0.13 0.00 0.01
34 2.9380 0.00 0.08 0.00 -0.01
35 2.9982 0.00 0.04 0.00 -0.11
36 3.0146 0.00 0.22 0.00 0.10
37 3.8282 0.00 -0.05 0.00 -0.10
38 3.8364 0.00 0.06 0.00 0.12
39 3.8911 0.00 -0.04 0.00 -0.03
40 3.9813 0.00 -0.10 0.00 -0.05
41 3.9892 0.00 -0.08 0.00 0.07
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.
500829 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 42.167 42.167 42.167 ecceobj 0.159 0.159 0.159 incobj 12.155 12.155 12.155 qmin 34.675 34.713 34.679 qmax 50.882 50.878 50.896 amean 42.506 42.493 42.511 amin 42.073 41.831 42.072 amax 42.951 42.952 42.941 emean 0.132 0.144 0.133 emin 0.082 0.116 0.090 emax 0.185 0.185 0.185 imean 9.116 7.533 9.235 imin 7.047 5.470 7.140 imax 11.624 11.624 11.624 excite_mean 0.207 0.196 0.210 fracstop 1.000 1.000 1.000 cjmean 3.033 3.039 3.031 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 176.3 176.5 175.7 kozaiamp 180.0 180.0 180.0