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: 13SQ112
# Created Tue May 20 01:09:47 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 9.93y
# First observation: 2013/09/30
# Last observation: 2023/09/06
# Chi-squared of fit: 16.63 DOF: 40 RMS: 0.15
# Min/Max residuals: -0.34 0.45
# Exact a, adot, b, bdot, g, gdot:
1.641249E-05 2.638279E-02 -5.067061E-06 -1.068949E-02 2.672970E-02 6.152304E-04
# Covariance matrix:
2.2115E-13 -9.2640E-14 -3.3870E-14 2.7263E-14 2.9905E-15 -2.4961E-13
-9.2640E-14 7.8244E-14 3.2471E-14 -2.6580E-14 -5.8828E-14 2.4395E-13
-3.3870E-14 3.2471E-14 1.5426E-13 -3.4697E-14 -1.8643E-14 1.1247E-13
2.7263E-14 -2.6580E-14 -3.4697E-14 1.6930E-14 1.7243E-14 -9.1730E-14
2.9905E-15 -5.8828E-14 -1.8643E-14 1.7243E-14 2.8351E-13 -1.6086E-13
-2.4961E-13 2.4395E-13 1.1247E-13 -9.1730E-14 -1.6086E-13 8.4144E-13
# lat0 lon0 xBary yBary zBary JD0
4.337295 -9.821151 -0.286000 0.072694 -0.957193 2456565.607658
# Heliocentric elements and errors
Epoch: 2456566.5000 = 2013/10/01
Mean Anomaly: 13.51849 +/- 0.012
Argument of Peri: 152.16331 +/- 0.015
Long of Asc Node: 180.90516 +/- 0.000
Inclination: 22.47791 +/- 0.000
Eccentricity: 0.10451278 +/- 0.0001
Semi-Major Axis: 42.67582401 +/- 0.0045
Time of Perihelion: 2452742.6854 +/- 3.5
Perihelion: 38.21565481 +/- 0.0053
Aphelion: 47.13599322 +/- 0.0060
Period (y) 278.7925 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.75209353 +/- 0.0007
Ecliptic Y -6.24202119 +/- 0.0001
Ecliptic Z 2.82914949 +/- 0.0001
Ecliptic XDOT 0.00059828 +/- 0.0000
Ecliptic YDOT 0.00263654 +/- 0.0000
Ecliptic ZDOT -0.00108685 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.36907826 +/- 0.0007
Geocenter to KBO 37.41159070 +/- 0.0007
# Hcoef: 8.32
The following table shows the complete astrometric record for 13SQ112. 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 (13SQ112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.10688 23 17 05.473 +00 05 57.11 23.2r 13SQ112 W84 C~52RU 2013 09 30.10834 23 17 05.478 +00 05 57.23 23.6i 13SQ112 W84 C~52RU 2013 10 11.10239 23 16 19.385 -00 00 42.54 22.9z 13SQ112 W84 C~52RU 2013 10 12.09486 23 16 15.487 -00 01 17.83 23.1z 13SQ112 W84 C~52RU 2013 10 28.02510 23 15 21.278 -00 10 02.59 24.3r 13SQ112 W84 C~52RU 2013 11 23.07693 23 14 35.260 -00 20 31.19 24.1r 13SQ112 W84 C~52RU 2015 07 22.54282 23 34 48.45 +00 45 17.9 24.4z 13SQ112 T09 C~8iWv 2015 07 22.55739 23 34 48.41 +00 45 17.7 24.2z 13SQ112 T09 C~8iWv 2015 07 22.58648 23 34 48.36 +00 45 17.2 24.4z 13SQ112 T09 C~8iWv 2016 09 07.40539 23 38 19.51 +00 24 45.5 24.6r 13SQ112 T09 C~7bIB 2016 09 07.44937 23 38 19.30 +00 24 44.0 24.4r 13SQ112 T09 C~7bIB 2016 09 07.48031 23 38 19.16 +00 24 42.8 24.4r 13SQ112 T09 C~7bIB 2016 09 30.09304 23 36 33.786 +00 10 47.57 23.9r 13SQ112 W84 C~52RU 2016 09 30.09441 23 36 33.802 +00 10 47.60 23.3i 13SQ112 W84 C~52RU 2017 07 30.48922 23 47 17.01 +00 45 42.0 25.0r 13SQ112 T09 C~8ssu 2017 07 30.51513 23 47 16.96 +00 45 41.1 24.4r 13SQ112 T09 C~8ssu 2017 07 30.56288 23 47 16.83 +00 45 40.1 24.4r 13SQ112 T09 C~8ssu 2017 07 30.60569 23 47 16.71 +00 45 39.4 24.3r 13SQ112 T09 C~8ssu 2017 11 10.03539 23 40 32.223 -00 09 25.79 24.2r 13SQ112 W84 C~52RU 2018 09 17.28139 23 50 32.070 +00 22 15.84 24.4g 13SQ112 W84 C~52RU 2023 09 06.407850 00 23 30.804 +00 37 14.54 24.3G 13SQ112 G37 C~7AxP 2023 09 06.447850 00 23 30.635 +00 37 13.47 13SQ112 G37 C~7AxP 2023 09 06.484380 00 23 30.485 +00 37 12.05 13SQ112 G37 C~7AxP
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 -0.05 0.00 -0.30
2 0.0000 0.00 0.12 0.00 -0.13
3 0.0301 0.00 0.07 0.00 0.05
4 0.0328 0.00 -0.13 0.00 -0.19
5 0.0764 0.00 0.21 0.00 -0.15
6 0.1478 0.00 -0.19 0.00 0.05
7 1.8082 0.00 -0.07 0.00 -0.06
8 1.8082 0.00 -0.15 0.00 -0.01
9 1.8083 0.00 0.15 0.00 -0.02
10 2.9385 0.00 0.05 0.00 0.06
11 2.9387 0.00 0.01 0.00 0.14
12 2.9387 0.00 0.10 0.00 0.05
13 3.0006 0.00 -0.12 0.00 0.03
14 3.0007 0.00 0.22 0.00 0.11
15 3.8313 0.00 -0.26 0.00 0.28
16 3.8314 0.00 0.06 0.00 -0.07
17 3.8315 0.00 0.08 0.00 -0.05
18 3.8316 0.00 0.06 0.00 0.16
19 4.1121 0.00 -0.01 0.00 0.10
20 4.9642 0.00 -0.06 0.00 0.45
21 9.9337 0.00 -0.06 0.00 -0.34
22 9.9339 0.00 -0.02 0.00 -0.01
23 9.9340 0.00 0.08 0.00 -0.15
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.
13SQ112 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.894 42.894 42.894 ecceobj 0.110 0.110 0.110 incobj 22.420 22.420 22.420 qmin 37.344 37.345 37.356 qmax 48.397 48.405 48.358 amean 42.758 42.758 42.756 amin 42.421 42.412 42.418 amax 43.125 43.130 43.123 emean 0.108 0.108 0.108 emin 0.094 0.094 0.094 emax 0.123 0.123 0.123 imean 22.310 22.308 22.309 imin 21.834 21.829 21.829 imax 22.724 22.729 22.725 excite_mean 0.395 0.395 0.395 fracstop 1.000 1.000 1.000 cjmean 2.896 2.896 2.896 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 186.4 185.9 184.6 kozaiamp 180.0 180.0 180.0