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: 13RG156
# Created Sun Dec 22 02:09:34 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 6.15y
# First observation: 2013/09/08
# Last observation: 2019/11/02
# Chi-squared of fit: 9.97 DOF: 42 RMS: 0.11
# Min/Max residuals: -0.20 0.29
# Exact a, adot, b, bdot, g, gdot:
1.282391E-05 1.869093E-02 -1.012786E-06 -1.377774E-03 2.221235E-02 6.756068E-04
# Covariance matrix:
4.6504E-13 -2.2459E-13 -1.5694E-14 1.4832E-14 -2.4583E-14 -1.5111E-12
-2.2459E-13 1.9806E-13 1.7857E-14 -1.6888E-14 2.3443E-14 1.7192E-12
-1.5694E-14 1.7857E-14 3.2478E-13 -6.5278E-14 -3.9443E-15 1.7664E-13
1.4832E-14 -1.6888E-14 -6.5278E-14 1.7124E-14 4.9998E-15 -1.6880E-13
-2.4583E-14 2.3443E-14 -3.9443E-15 4.9998E-15 4.3790E-13 -3.7394E-13
-1.5111E-12 1.7192E-12 1.7664E-13 -1.6880E-13 -3.7394E-13 1.6999E-11
# lat0 lon0 xBary yBary zBary JD0
3.413368 -12.728334 0.033638 0.060091 -1.006075 2456543.672288
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 167.36450 +/- 0.067
Argument of Peri: 330.53251 +/- 0.062
Long of Asc Node: 205.62542 +/- 0.002
Inclination: 5.36627 +/- 0.000
Eccentricity: 0.17392837 +/- 0.0001
Semi-Major Axis: 39.30893388 +/- 0.0040
Time of Perihelion: 2414694.4315 +/- 17.9
Perihelion: 32.47199523 +/- 0.0042
Aphelion: 46.14587253 +/- 0.0053
Period (y) 246.4592 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.81130254 +/- 0.0013
Ecliptic Y -10.15343544 +/- 0.0003
Ecliptic Z 2.68040633 +/- 0.0001
Ecliptic XDOT 0.00059236 +/- 0.0000
Ecliptic YDOT 0.00222551 +/- 0.0000
Ecliptic ZDOT -0.00016442 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.02529572 +/- 0.0013
Geocenter to KBO 45.02001977 +/- 0.0013
# Hcoef: 7.60
The following table shows the complete astrometric record for 13RG156. 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 (13RG156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.17151 23 07 50.924 -01 52 59.08 24.2g 13RG156 W84 C~52RL 2013 09 30.11758 23 06 22.489 -02 02 54.57 23.9r 13RG156 W84 C~52RL 2013 09 30.11904 23 06 22.480 -02 02 54.68 23.5i 13RG156 W84 C~52RL 2016 08 01.50863 23 22 18.90 -00 37 10.7 24.4z 13RG156 T09 C~7bI8 2016 08 01.53033 23 22 18.82 -00 37 11.0 25.0z 13RG156 T09 C~7bI8 2016 08 01.55470 23 22 18.75 -00 37 11.5 23.8z 13RG156 T09 C~7bI8 2016 09 26.13079 23 18 46.190 -00 59 41.77 23.6i 13RG156 W84 C~52RL 2016 09 30.12158 23 18 30.507 -01 01 30.87 22.2z 13RG156 W84 C~52RL 2016 10 05.14581 23 18 11.366 -01 03 45.51 23.3r 13RG156 W84 C~52RL 2017 09 27.28331 23 22 45.13 -00 39 36.4 24.5z 13RG156 T09 C~7bI8 2017 09 27.31134 23 22 45.00 -00 39 37.0 24.6z 13RG156 T09 C~7bI8 2017 09 27.36776 23 22 44.78 -00 39 38.7 24.4z 13RG156 T09 C~7bI8 2017 11 08.06551 23 20 33.761 -00 56 00.87 24.1r 13RG156 W84 C~52RL 2017 11 09.04060 23 20 31.896 -00 56 17.61 24.3r 13RG156 W84 C~52RL 2018 09 17.27717 23 27 29.439 -00 14 20.42 23.2i 13RG156 W84 C~52RL 2019 11 01.21232 23 28 52.35 -00 12 54.7 24.8g 13RG156 T09 C~8GyC 2019 11 01.21475 23 28 52.33 -00 12 54.7 25.4g 13RG156 T09 C~8GyC 2019 11 01.29245 23 28 52.13 -00 12 56.2 25.2g 13RG156 T09 C~8GyC 2019 11 01.38109 23 28 51.89 -00 12 58.4 25.0g 13RG156 T09 C~8GyC 2019 11 02.21016 23 28 49.79 -00 13 15.2 24.4i 13RG156 T09 C~8GyC 2019 11 02.23475 23 28 49.73 -00 13 15.6 24.3i 13RG156 T09 C~8GyC 2019 11 02.23823 23 28 49.71 -00 13 15.9 23.9i 13RG156 T09 C~8GyC 2019 11 02.24883 23 28 49.70 -00 13 16.2 24.0i 13RG156 T09 C~8GyC 2019 11 02.25232 23 28 49.69 -00 13 15.9 24.3i 13RG156 T09 C~8GyC
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 0.04
2 0.0601 0.00 -0.01 0.00 0.08
3 0.0601 0.00 -0.06 0.00 0.01
4 2.8976 0.00 0.09 0.00 -0.07
5 2.8976 0.00 -0.12 0.00 -0.00
6 2.8977 0.00 -0.06 0.00 -0.09
7 3.0499 0.00 -0.09 0.00 0.05
8 3.0608 0.00 0.01 0.00 -0.16
9 3.0745 0.00 -0.17 0.00 0.04
10 4.0523 0.00 0.20 0.00 -0.06
11 4.0524 0.00 -0.05 0.00 0.11
12 4.0526 0.00 0.07 0.00 -0.04
13 4.1667 0.00 0.01 0.00 0.06
14 4.1694 0.00 0.18 0.00 -0.13
15 5.0242 0.00 0.29 0.00 0.11
16 6.1466 0.00 0.03 0.00 0.02
17 6.1466 0.00 -0.17 0.00 0.07
18 6.1468 0.00 -0.07 0.00 0.18
19 6.1470 0.00 -0.14 0.00 -0.19
20 6.1493 0.00 -0.05 0.00 0.02
21 6.1494 0.00 0.01 0.00 0.12
22 6.1494 0.00 -0.15 0.00 -0.11
23 6.1494 0.00 0.11 0.00 -0.20
24 6.1494 0.00 0.09 0.00 0.17
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.
13RG156 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.470 39.470 39.470 ecceobj 0.169 0.169 0.169 incobj 5.357 5.357 5.357 qmin 31.684 31.684 31.684 qmax 47.637 47.637 47.638 amean 39.456 39.456 39.456 amin 39.088 39.088 39.088 amax 39.874 39.874 39.874 emean 0.177 0.177 0.177 emin 0.158 0.158 0.158 emax 0.196 0.196 0.196 imean 6.148 6.148 6.148 imin 5.589 5.590 5.589 imax 6.780 6.780 6.780 excite_mean 0.207 0.207 0.207 fracstop 1.000 1.000 1.000 cjmean 3.003 3.003 3.003 libcent 0 179.6 179.6 179.5 libamp 0 44.3 44.2 44.2 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 182.8 182.8 182.8 kozaiamp 180.0 180.0 180.0