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: 13SS112
# Created Sat Apr 27 01:15:10 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 6.16y
# First observation: 2013/09/30
# Last observation: 2019/11/29
# Chi-squared of fit: 14.21 DOF: 40 RMS: 0.14
# Min/Max residuals: -0.37 0.31
# Exact a, adot, b, bdot, g, gdot:
1.580356E-05 2.461285E-02 -2.055155E-06 -6.098651E-03 2.559247E-02 -2.092765E-03
# Covariance matrix:
3.0349E-13 -1.8531E-13 -3.0372E-14 4.0973E-14 1.0557E-13 -1.0613E-12
-1.8531E-13 2.4019E-13 4.9324E-14 -6.6471E-14 -1.6399E-13 1.7222E-12
-3.0372E-14 4.9324E-14 2.2849E-13 -6.0494E-14 -3.8968E-14 3.7632E-13
4.0973E-14 -6.6471E-14 -6.0494E-14 3.3318E-14 5.6943E-14 -5.0897E-13
1.0557E-13 -1.6399E-13 -3.8968E-14 5.6943E-14 6.1648E-13 -1.4514E-12
-1.0613E-12 1.7222E-12 3.7632E-13 -5.0897E-13 -1.4514E-12 1.3177E-11
# lat0 lon0 xBary yBary zBary JD0
4.904063 -13.607112 -0.348934 0.080361 -0.935458 2456565.618358
# Heliocentric elements and errors
Epoch: 2456566.5000 = 2013/10/01
Mean Anomaly: 274.33652 +/- 0.056
Argument of Peri: 255.16145 +/- 0.079
Long of Asc Node: 185.46290 +/- 0.000
Inclination: 14.74285 +/- 0.000
Eccentricity: 0.07541074 +/- 0.0001
Semi-Major Axis: 40.01076392 +/- 0.0051
Time of Perihelion: 2478563.1679 +/- 19.6
Perihelion: 36.99352266 +/- 0.0074
Aphelion: 43.02800519 +/- 0.0079
Period (y) 253.0891 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 38.83261119 +/- 0.0012
Ecliptic Y -9.03770840 +/- 0.0003
Ecliptic Z 3.34024472 +/- 0.0001
Ecliptic XDOT 0.00045070 +/- 0.0000
Ecliptic YDOT 0.00259717 +/- 0.0000
Ecliptic ZDOT -0.00066904 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.01015859 +/- 0.0011
Geocenter to KBO 39.07408893 +/- 0.0012
# Hcoef: 8.61
The following table shows the complete astrometric record for 13SS112. 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 (13SS112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.11758 23 02 18.298 -00 50 54.12 23.2r 13SS112 W84 C~52RV 2013 09 30.11904 23 02 18.296 -00 50 53.89 23.4i 13SS112 W84 C~52RV 2013 10 11.10096 23 01 35.104 -00 56 47.58 23.6z 13SS112 W84 C~52RV 2013 10 28.02363 23 00 42.139 -01 04 55.08 23.8r 13SS112 W84 C~52RV 2013 11 23.07182 23 00 04.535 -01 13 35.28 24.1r 13SS112 W84 C~52RV 2014 10 23.11405 23 06 39.009 -00 49 19.73 23.7r 13SS112 W84 C~52RV 2016 09 07.35658 23 21 18.48 +00 02 02.4 24.6r 13SS112 T09 C~7bIB 2016 09 07.43184 23 21 18.12 +00 01 59.8 24.6r 13SS112 T09 C~7bIB 2016 09 07.44284 23 21 18.08 +00 01 59.3 24.8r 13SS112 T09 C~7bIB 2016 09 26.13353 23 19 52.597 -00 08 29.51 24.5r 13SS112 W84 C~52RV 2016 09 26.13627 23 19 52.571 -00 08 29.54 23.9g 13SS112 W84 C~52RV 2017 09 27.27630 23 25 37.43 +00 04 33.3 24.5z 13SS112 T09 C~7bIB 2017 09 27.30436 23 25 37.29 +00 04 32.3 24.6z 13SS112 T09 C~7bIB 2017 09 27.31840 23 25 37.23 +00 04 31.8 24.8z 13SS112 T09 C~7bIB 2017 09 27.36074 23 25 37.04 +00 04 30.3 24.6z 13SS112 T09 C~7bIB 2017 11 09.04060 23 23 08.281 -00 16 32.59 24.4r 13SS112 W84 C~52RV 2018 09 17.27443 23 32 14.858 +00 24 00.80 24.0r 13SS112 W84 C~52RV 2018 09 17.27580 23 32 14.854 +00 24 00.78 24.2g 13SS112 W84 C~52RV 2019 11 28.29034 23 34 14.73 +00 04 50.3 26.2g 13SS112 T09 C~7bIB 2019 11 28.36762 23 34 14.68 +00 04 49.6 26.1g 13SS112 T09 C~7bIB 2019 11 29.20085 23 34 14.15 +00 04 39.2 25.7r 13SS112 T09 C~7bIB 2019 11 29.21083 23 34 14.15 +00 04 39.0 26.1r 13SS112 T09 C~7bIB 2019 11 29.22083 23 34 14.13 +00 04 39.0 26.1r 13SS112 T09 C~7bIB
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 0.02 0.00 -0.37
2 0.0000 0.00 0.09 0.00 -0.10
3 0.0301 0.00 0.11 0.00 0.31
4 0.0764 0.00 -0.04 0.00 0.27
5 0.1477 0.00 -0.18 0.00 0.09
6 1.0623 0.00 0.04 0.00 -0.05
7 2.9384 0.00 -0.07 0.00 0.01
8 2.9386 0.00 -0.17 0.00 -0.12
9 2.9386 0.00 0.00 0.00 -0.26
10 2.9898 0.00 0.10 0.00 -0.11
11 2.9898 0.00 -0.10 0.00 -0.04
12 3.9922 0.00 0.13 0.00 0.22
13 3.9923 0.00 -0.05 0.00 0.17
14 3.9923 0.00 0.00 0.00 0.15
15 3.9925 0.00 0.04 0.00 0.09
16 4.1093 0.00 0.11 0.00 -0.19
17 4.9642 0.00 0.11 0.00 -0.09
18 4.9642 0.00 0.15 0.00 -0.06
19 6.1606 0.00 -0.05 0.00 -0.17
20 6.1608 0.00 0.07 0.00 0.11
21 6.1631 0.00 -0.09 0.00 0.06
22 6.1632 0.00 0.02 0.00 -0.01
23 6.1632 0.00 -0.18 0.00 0.11
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.
13SS112 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.198 40.198 40.198 ecceobj 0.075 0.075 0.075 incobj 14.704 14.704 14.704 qmin 35.226 34.961 35.340 qmax 45.373 45.567 45.224 amean 40.116 40.134 40.122 amin 39.774 39.787 39.782 amax 40.490 40.508 40.482 emean 0.090 0.093 0.091 emin 0.063 0.063 0.063 emax 0.121 0.126 0.117 imean 15.677 15.680 15.668 imin 14.410 14.410 14.410 imax 17.177 17.185 17.182 excite_mean 0.285 0.286 0.285 fracstop 1.000 1.000 1.000 cjmean 2.965 2.965 2.965 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 179.6 179.5 180.2 kozaiamp 179.9 180.0 180.0