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: 13SO112
# Created Thu Apr 25 01:15:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 12 observations of 12
# Arc: 8.91y
# First observation: 2013/09/30
# Last observation: 2022/08/27
# Chi-squared of fit: 3.11 DOF: 18 RMS: 0.09
# Min/Max residuals: -0.17 0.20
# Exact a, adot, b, bdot, g, gdot:
1.261517E-05 1.665115E-02 -6.594932E-06 -7.333381E-03 2.087118E-02 5.821133E-03
# Covariance matrix:
3.9680E-13 -6.1127E-14 1.5200E-14 -7.6001E-15 5.1091E-13 1.0611E-13
-6.1127E-14 1.1292E-13 3.6496E-14 -4.9114E-14 2.0263E-13 7.9172E-13
1.5200E-14 3.6496E-14 2.6567E-13 -5.6348E-14 1.6845E-13 3.3394E-13
-7.6001E-15 -4.9114E-14 -5.6348E-14 3.6671E-14 -1.7579E-13 -4.2181E-13
5.1091E-13 2.0263E-13 1.6845E-13 -1.7579E-13 2.6238E-12 2.7688E-12
1.0611E-13 7.9172E-13 3.3394E-13 -4.2181E-13 2.7688E-12 6.7645E-12
# lat0 lon0 xBary yBary zBary JD0
5.902182 -16.143809 -0.389613 0.094982 -0.917871 2456565.584788
# Heliocentric elements and errors
Epoch: 2456566.5000 = 2013/10/01
Mean Anomaly: 66.23307 +/- 0.029
Argument of Peri: 63.48924 +/- 0.037
Long of Asc Node: 177.17023 +/- 0.000
Inclination: 24.50949 +/- 0.000
Eccentricity: 0.31235137 +/- 0.0001
Semi-Major Axis: 50.47111021 +/- 0.0135
Time of Perihelion: 2432471.0477 +/- 14.3
Perihelion: 34.70638997 +/- 0.0110
Aphelion: 66.23583046 +/- 0.0187
Period (y) 358.5688 +/- 0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 46.77412037 +/- 0.0035
Ecliptic Y -13.13084531 +/- 0.0010
Ecliptic Z 4.92658155 +/- 0.0004
Ecliptic XDOT 0.00142579 +/- 0.0000
Ecliptic YDOT 0.00185811 +/- 0.0000
Ecliptic ZDOT -0.00087822 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.83121633 +/- 0.0034
Geocenter to KBO 47.91278684 +/- 0.0037
# Hcoef: 6.92
The following table shows the complete astrometric record for 13SO112. 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 (13SO112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.08401 22 51 26.615 -00 53 52.35 23.3i 13SO112 W84 C~52RU 2013 10 10.10644 22 50 54.486 -00 58 36.39 24.0r 13SO112 W84 C~52RU 2013 10 11.09940 22 50 51.538 -00 59 03.73 23.5z 13SO112 W84 C~52RU 2013 10 12.07240 22 50 48.706 -00 59 30.36 23.5i 13SO112 W84 C~52RU 2013 11 23.06502 22 49 41.846 -01 14 08.96 24.0r 13SO112 W84 C~52RU 2016 09 26.12252 23 03 55.539 -00 56 22.81 23.6i 13SO112 W84 C~52RU 2017 09 27.13996 23 07 52.555 -00 58 07.70 23.7r 13SO112 W84 C~52RU 2017 11 15.04649 23 05 51.466 -01 17 25.64 24.1r 13SO112 W84 C~52RU 2017 11 15.04786 23 05 51.463 -01 17 25.68 23.6i 13SO112 W84 C~52RU 2022 08 27.255490 23 29 08.618 -00 49 57.63 23.8G 13SO112 G37 C~5nHc 2022 08 27.302240 23 29 08.459 -00 49 58.86 13SO112 G37 C~5nHc 2022 08 27.349320 23 29 08.287 -00 49 59.93 13SO112 G37 C~5nHc
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 0.20
2 0.0274 0.00 0.04 0.00 0.02
3 0.0302 0.00 -0.02 0.00 -0.03
4 0.0328 0.00 0.06 0.00 -0.09
5 0.1478 0.00 -0.00 0.00 0.13
6 2.9898 0.00 0.14 0.00 -0.17
7 3.9919 0.00 -0.15 0.00 -0.11
8 4.1258 0.00 0.04 0.00 -0.04
9 4.1258 0.00 0.01 0.00 -0.06
10 8.9067 0.00 -0.03 0.00 0.03
11 8.9068 0.00 0.05 0.00 -0.01
12 8.9070 0.00 -0.04 0.00 0.12
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.
13SO112 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.712 50.713 50.712 ecceobj 0.312 0.312 0.312 incobj 24.437 24.437 24.437 qmin 33.910 33.943 33.993 qmax 68.191 68.055 68.111 amean 50.660 50.654 50.667 amin 50.146 50.142 50.159 amax 51.306 51.313 51.306 emean 0.309 0.308 0.310 emin 0.288 0.285 0.288 emax 0.330 0.329 0.329 imean 24.371 24.423 24.284 imin 23.591 23.615 23.633 imax 25.047 25.071 25.024 excite_mean 0.515 0.515 0.515 fracstop 1.000 1.000 1.000 cjmean 2.841 2.841 2.842 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 171.6 171.8 173.6 kozaiamp 180.0 180.0 180.0