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: 13SG106
# Created Wed Dec 25 02:09:34 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 6.87y
# First observation: 2013/09/28
# Last observation: 2020/08/12
# Chi-squared of fit: 6.09 DOF: 42 RMS: 0.09
# Min/Max residuals: -0.28 0.19
# Exact a, adot, b, bdot, g, gdot:
1.782688E-05 3.079566E-02 -6.582918E-06 -1.136105E-02 2.722442E-02 4.335073E-04
# Covariance matrix:
3.1039E-13 -1.2768E-13 -2.9518E-14 2.9809E-14 -1.6765E-14 -3.9329E-13
-1.2768E-13 1.0008E-13 3.2437E-14 -3.2547E-14 5.7773E-14 4.2839E-13
-2.9518E-14 3.2437E-14 2.4636E-13 -6.1202E-14 2.2536E-14 1.6111E-13
2.9809E-14 -3.2547E-14 -6.1202E-14 2.6143E-14 -2.1038E-14 -1.6175E-13
-1.6765E-14 5.7773E-14 2.2536E-14 -2.1038E-14 3.3542E-13 2.6913E-13
-3.9329E-13 4.2839E-13 1.6111E-13 -1.6175E-13 2.6913E-13 2.1295E-12
# lat0 lon0 xBary yBary zBary JD0
3.348114 -2.052695 -0.119235 0.058212 -0.993462 2456563.581598
# Heliocentric elements and errors
Epoch: 2456564.5000 = 2013/09/29
Mean Anomaly: 1.24537 +/- 0.004
Argument of Peri: 167.59983 +/- 0.009
Long of Asc Node: 186.88957 +/- 0.000
Inclination: 20.51111 +/- 0.000
Eccentricity: 0.38826583 +/- 0.0001
Semi-Major Axis: 61.64423732 +/- 0.0096
Time of Perihelion: 2455952.9471 +/- 1.8
Perihelion: 37.70988659 +/- 0.0078
Aphelion: 85.57858804 +/- 0.0143
Period (y) 484.0017 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.64392968 +/- 0.0008
Ecliptic Y -1.22681949 +/- 0.0000
Ecliptic Z 2.14496600 +/- 0.0000
Ecliptic XDOT 0.00021494 +/- 0.0000
Ecliptic YDOT 0.00308975 +/- 0.0000
Ecliptic ZDOT -0.00113790 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.72493368 +/- 0.0008
Geocenter to KBO 36.73174737 +/- 0.0008
# Hcoef: 7.28
The following table shows the complete astrometric record for 13SG106. 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 (13SG106) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.08082 23 47 08.42 +02 15 20.6 23.9g 13SG106 W84 C~3clG 2013 09 30.13112 23 46 59.03 +02 14 03.5 22.9r 13SG106 W84 C~3clG 2013 09 30.13557 23 46 59.02 +02 14 03.2 22.9i 13SG106 W84 C~3clG 2013 11 22.05198 23 44 06.276 +01 46 11.55 23.6g 13SG106 W84 C~4yR3 2014 10 28.12587 23 52 34.35 +02 03 41.4 23.6g 13SG106 W84 C~3clG 2016 09 11.23463 00 10 53.168 +02 43 26.14 22.8i 13SG106 W84 C~4yR3 2016 09 11.23599 00 10 53.154 +02 43 25.90 22.4z 13SG106 W84 C~4yR3 2016 09 22.12447 00 10 03.342 +02 36 50.29 22.8r 13SG106 W84 C~4yR3 2016 09 22.12586 00 10 03.332 +02 36 50.24 23.2g 13SG106 W84 C~4yR3 2016 10 02.17199 00 09 16.629 +02 30 35.68 22.8i 13SG106 W84 C~4yR3 2016 10 02.17338 00 09 16.630 +02 30 35.61 22.9r 13SG106 W84 C~4yR3 2016 10 02.17474 00 09 16.624 +02 30 35.66 23.8g 13SG106 W84 C~4yR3 2017 09 27.17180 00 17 08.259 +02 39 28.04 22.6z 13SG106 W84 C~4yR3 2017 09 27.17317 00 17 08.257 +02 39 27.97 23.2r 13SG106 W84 C~4yR3 2017 09 27.19103 00 17 08.172 +02 39 27.27 22.5i 13SG106 W84 C~4yR3 2017 09 27.19240 00 17 08.166 +02 39 27.21 23.8g 13SG106 W84 C~4yR3 2017 10 12.17973 00 15 59.318 +02 30 13.67 23.5g 13SG106 W84 C~4yR3 2018 11 07.12913 00 21 41.595 +02 21 34.79 23.1r 13SG106 W84 C~4yR3 2018 11 08.13599 00 21 38.243 +02 21 06.10 23.6g 13SG106 W84 C~4yR3 2019 12 02.24174 00 28 00.17 +02 17 38.4 22.6i 13SG106 T09 C~7bIA 2019 12 02.25552 00 28 00.17 +02 17 38.2 22.9i 13SG106 T09 C~7bIA 2019 12 02.32699 00 28 00.04 +02 17 37.2 22.0i 13SG106 T09 C~7bIA 2020 08 12.363700 00 42 13.597 +03 19 28.99 23.0G 13SG106 G37 C~441X 2020 08 12.435080 00 42 13.424 +03 19 27.34 13SG106 G37 C~441X
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 0.01 0.00 0.00
2 0.0056 0.00 -0.11 0.00 0.12
3 0.0056 0.00 0.05 0.00 -0.01
4 0.1505 0.00 -0.05 0.00 0.07
5 1.0816 0.00 0.19 0.00 -0.28
6 2.9546 0.00 0.02 0.00 0.10
7 2.9546 0.00 -0.10 0.00 -0.09
8 2.9844 0.00 -0.02 0.00 0.02
9 2.9844 0.00 -0.07 0.00 0.02
10 3.0119 0.00 -0.05 0.00 -0.00
11 3.0119 0.00 0.06 0.00 -0.02
12 3.0119 0.00 0.07 0.00 0.08
13 3.9975 0.00 -0.04 0.00 0.06
14 3.9975 0.00 0.02 0.00 0.04
15 3.9976 0.00 0.02 0.00 0.00
16 3.9976 0.00 0.03 0.00 -0.01
17 4.0386 0.00 0.06 0.00 -0.03
18 5.1090 0.00 0.13 0.00 -0.02
19 5.1117 0.00 0.01 0.00 -0.10
20 6.1770 0.00 -0.22 0.00 0.04
21 6.1771 0.00 0.11 0.00 0.06
22 6.1773 0.00 -0.11 0.00 0.17
23 6.8728 0.00 0.01 0.00 -0.10
24 6.8730 0.00 0.08 0.00 -0.06
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.
13SG106 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 62.200 62.200 62.201 ecceobj 0.394 0.394 0.394 incobj 20.466 20.466 20.466 qmin 36.414 36.424 36.423 qmax 88.135 88.230 88.161 amean 61.625 61.630 61.623 amin 60.918 60.956 60.949 amax 62.622 62.605 62.573 emean 0.393 0.393 0.393 emin 0.378 0.378 0.378 emax 0.409 0.409 0.409 imean 20.001 20.005 20.002 imin 19.420 19.415 19.413 imax 20.703 20.693 20.689 excite_mean 0.521 0.521 0.521 fracstop 1.000 1.000 1.000 cjmean 2.962 2.962 2.962 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 208.1 207.8 208.5 kozaiamp 180.0 179.9 180.0