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: 500877
# Created Fri Nov 22 02:07:12 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 39 observations of 39
# Arc: 6.16y
# First observation: 2013/04/09
# Last observation: 2019/06/06
# Chi-squared of fit: 8.90 DOF: 72 RMS: 0.08
# Min/Max residuals: -0.22 0.23
# Exact a, adot, b, bdot, g, gdot:
1.782209E-05 3.249319E-02 -2.333642E-06 -3.118412E-03 2.834202E-02 5.528144E-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
6.559974 -122.044484 0.620319 0.090098 -0.783309 2456392.027708
# Heliocentric elements and errors
Epoch: 2456392.5000 = 2013/04/10
Mean Anomaly: 22.75315 +/- 0.000
Argument of Peri: 88.67230 +/- 0.000
Long of Asc Node: 107.02722 +/- 0.000
Inclination: 8.34376 +/- 0.000
Eccentricity: 0.28394464 +/- 0.0000
Semi-Major Axis: 47.64463721 +/- 0.0000
Time of Perihelion: 2448800.4598 +/- 0.0
Perihelion: 34.11619795 +/- 0.0000
Aphelion: 61.17307648 +/- 0.0000
Period (y) 328.8738 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -19.54091030 +/- 0.0000
Ecliptic Y -30.04861441 +/- 0.0000
Ecliptic Z 4.03082922 +/- 0.0000
Ecliptic XDOT 0.00235456 +/- 0.0000
Ecliptic YDOT -0.00214392 +/- 0.0000
Ecliptic ZDOT -0.00023812 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.06947327 +/- 0.0000
Geocenter to KBO 35.28321741 +/- 0.0000
# Hcoef: 8.21
The following table shows the complete astrometric record for 500877. 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 (500877) followed by the observatory code and reference code for the source of the astrometry.
2013 04 09.52693 15 48 49.056 -13 18 20.58 23.7r 500877 568 C~1XRc 2013 04 10.49580 15 48 45.249 -13 18 02.93 23.5r 500877 568 C~1XRc 2013 04 10.53608 15 48 45.070 -13 18 02.14 23.5r 500877 568 C~1XRc 2013 05 04.42521 15 46 53.071 -13 10 35.59 23.8r 500877 568 C~1XRc 2013 05 07.42802 15 46 37.205 -13 09 41.00 23.4r 500877 568 C~1XRc 2013 05 07.47225 15 46 36.955 -13 09 40.11 23.4r 500877 568 C~1XRc 2013 05 07.51247 15 46 36.746 -13 09 39.43 23.9r 500877 568 C~1XRc 2013 05 09.47229 15 46 26.267 -13 09 04.26 23.6r 500877 568 C~1XRc 2013 05 10.47981 15 46 20.846 -13 08 46.37 23.2r 500877 568 C~1XRc 2013 06 01.38796 15 44 22.083 -13 03 02.02 23.6r 500877 568 C~1XRc 2013 06 02.39467 15 44 16.761 -13 02 49.14 23.6r 500877 568 C~1XRc 2014 03 06.58112 15 57 19.802 -14 00 30.92 23.7r 500877 568 C~1XRc 2014 04 30.53172 15 54 33.344 -13 46 19.42 500877 568 C~1XRc 2014 05 05.49140 15 54 07.949 -13 44 52.16 23.8r 500877 568 C~1XRc 2014 05 06.42350 15 54 03.084 -13 44 36.14 23.9r 500877 568 C~1XRc 2014 05 06.43939 15 54 03.003 -13 44 35.85 23.7r 500877 568 C~1XRc 2014 05 06.49023 15 54 02.727 -13 44 35.01 23.6r 500877 568 C~1XRc 2014 05 06.56630 15 54 02.319 -13 44 33.59 23.6r 500877 568 C~1XRc 2014 05 22.54556 15 52 36.107 -13 40 12.72 23.7r 500877 568 C~1XRc 2014 05 25.50454 15 52 19.946 -13 39 29.01 24.1r 500877 568 C~2LSW 2014 07 01.37930 15 49 20.575 -13 33 41.16 23.6r 500877 568 C~1XRc 2014 07 18.35698 15 48 26.553 -13 33 38.15 23.8r 500877 568 C~1XRc 2014 07 26.28482 15 48 10.242 -13 34 15.33 23.9r 500877 568 C~1XRc 2015 03 22.59524 16 04 11.743 -14 29 53.00 23.4r 500877 568 C~2LSW 2015 08 11.32212 15 55 04.819 -14 10 03.40 23.9r 500877 568 C~2LSW 2015 08 11.32974 15 55 04.831 -14 10 03.47 23.9r 500877 568 C~2LSW 2016 05 07.49747 16 08 27.078 -14 49 48.70 23.7r 500877 568 C~2LSW 2016 05 11.46052 16 08 06.339 -14 48 48.48 23.7r 500877 568 C~2LSW 2016 05 11.48265 16 08 06.213 -14 48 48.24 500877 568 C~2LSW 2016 05 11.52621 16 08 05.981 -14 48 47.32 23.5r 500877 568 C~2LSW 2017 01 31.66055 16 17 28.006 -15 35 20.19 25.1w 500877 568 C~2LSW 2017 01 31.66166 16 17 28.013 -15 35 20.34 24.9w 500877 568 C~2LSW 2017 02 03.65691 16 17 39.298 -15 35 27.67 500877 568 C~2LSW 2017 03 30.60077 16 18 10.657 -15 29 52.24 23.9w 500877 568 C~2LSW 2017 05 02.38122 16 16 06.60 -15 22 09.7 23.9R 500877 G37 C~2Fa2 2017 05 02.44632 16 16 06.28 -15 22 08.9 500877 G37 C~2Fa2 2019 06 06.335530 16 27 22.518 -16 13 50.36 23.6G 500877 G37 C~39jI 2019 06 06.351250 16 27 22.442 -16 13 50.41 500877 G37 C~39jI 2019 06 06.387540 16 27 22.234 -16 13 50.02 500877 G37 C~39jI
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 0.11
2 0.0027 0.00 0.05 0.00 0.03
3 0.0028 0.00 -0.18 0.00 0.08
4 0.0682 0.00 0.13 0.00 0.06
5 0.0764 0.00 0.03 0.00 -0.04
6 0.0765 0.00 -0.12 0.00 0.05
7 0.0766 0.00 0.01 0.00 0.00
8 0.0820 0.00 -0.05 0.00 0.02
9 0.0847 0.00 -0.07 0.00 0.02
10 0.1447 0.00 0.05 0.00 0.11
11 0.1475 0.00 0.04 0.00 -0.20
12 0.9064 0.00 -0.00 0.00 -0.08
13 1.0568 0.00 0.05 0.00 -0.06
14 1.0704 0.00 0.10 0.00 0.11
15 1.0730 0.00 0.06 0.00 -0.04
16 1.0730 0.00 0.11 0.00 -0.03
17 1.0731 0.00 0.04 0.00 -0.07
18 1.0733 0.00 0.01 0.00 0.03
19 1.1171 0.00 0.03 0.00 0.10
20 1.1252 0.00 -0.03 0.00 0.08
21 1.2262 0.00 -0.06 0.00 -0.09
22 1.2726 0.00 -0.06 0.00 -0.00
23 1.2943 0.00 -0.04 0.00 -0.04
24 1.9495 0.00 0.07 0.00 0.00
25 2.3376 0.00 -0.11 0.00 -0.04
26 2.3376 0.00 0.11 0.00 -0.03
27 3.0773 0.00 -0.03 0.00 -0.02
28 3.0881 0.00 0.07 0.00 -0.12
29 3.0882 0.00 -0.03 0.00 -0.22
30 3.0883 0.00 0.01 0.00 0.04
31 3.8142 0.00 0.01 0.00 0.06
32 3.8142 0.00 0.05 0.00 -0.09
33 3.8224 0.00 -0.12 0.00 -0.05
34 3.9728 0.00 -0.08 0.00 -0.10
35 4.0626 0.00 -0.16 0.00 0.23
36 4.0627 0.00 -0.11 0.00 0.07
37 6.1569 0.00 -0.01 0.00 0.16
38 6.1569 0.00 0.15 0.00 -0.04
39 6.1570 0.00 0.01 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.
500877 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.415 47.415 47.415 ecceobj 0.280 0.280 0.280 incobj 8.338 8.338 8.338 qmin 32.969 32.969 32.968 qmax 63.405 63.417 63.392 amean 47.797 47.797 47.797 amin 47.277 47.279 47.276 amax 48.477 48.477 48.477 emean 0.291 0.291 0.291 emin 0.270 0.270 0.270 emax 0.310 0.310 0.310 imean 6.719 6.719 6.718 imin 5.679 5.680 5.679 imax 7.617 7.617 7.617 excite_mean 0.314 0.314 0.314 fracstop 1.000 1.000 1.000 cjmean 3.024 3.024 3.024 libcent 0 285.2 285.3 285.2 libamp 0 24.8 24.9 24.8 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 188.9 188.9 189.0 kozaiamp 180.0 180.0 180.0