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: 13SG113
# Created Sun Apr 27 01:09:45 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 21 observations of 21
# Arc: 11.16y
# First observation: 2013/09/02
# Last observation: 2024/11/01
# Chi-squared of fit: 8.58 DOF: 36 RMS: 0.11
# Min/Max residuals: -0.21 0.34
# Exact a, adot, b, bdot, g, gdot:
1.429448E-05 2.247504E-02 2.878809E-06 2.964847E-03 2.344390E-02 4.019125E-03
# Covariance matrix:
3.1185E-13 -4.8682E-14 5.7904E-15 -6.1205E-15 3.0663E-13 -2.1408E-13
-4.8682E-14 5.9994E-14 -5.5024E-15 7.8710E-15 9.7765E-15 2.5775E-13
5.7904E-15 -5.5024E-15 1.0988E-13 -1.4554E-14 3.0080E-15 -2.6415E-14
-6.1205E-15 7.8710E-15 -1.4554E-14 6.0949E-15 -5.5213E-16 3.7180E-14
3.0663E-13 9.7765E-15 3.0080E-15 -5.5213E-16 5.4433E-13 -4.1756E-14
-2.1408E-13 2.5775E-13 -2.6415E-14 3.7180E-14 -4.1756E-14 1.2213E-12
# lat0 lon0 xBary yBary zBary JD0
2.872140 -3.231335 0.297915 0.048444 -0.963943 2456537.742388
# Heliocentric elements and errors
Epoch: 2456538.5000 = 2013/09/03
Mean Anomaly: 59.44923 +/- 0.023
Argument of Peri: 301.71077 +/- 0.030
Long of Asc Node: 336.09045 +/- 0.001
Inclination: 8.05252 +/- 0.000
Eccentricity: 0.17722701 +/- 0.0001
Semi-Major Axis: 46.58911068 +/- 0.0067
Time of Perihelion: 2437357.6077 +/- 8.4
Perihelion: 38.33226190 +/- 0.0063
Aphelion: 54.84595946 +/- 0.0085
Period (y) 318.0056 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 43.48032080 +/- 0.0013
Ecliptic Y -2.75009416 +/- 0.0001
Ecliptic Z 2.13744464 +/- 0.0001
Ecliptic XDOT 0.00059247 +/- 0.0000
Ecliptic YDOT 0.00259399 +/- 0.0000
Ecliptic ZDOT 0.00036947 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.61949618 +/- 0.0013
Geocenter to KBO 42.65493624 +/- 0.0013
# Hcoef: 7.00
The following table shows the complete astrometric record for 13SG113. 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 (13SG113) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.24161 23 43 34.549 +01 21 03.97 24.0g 13SG113 W84 C~55Nk 2013 09 11.25591 23 42 56.349 +01 17 21.16 24.5g 13SG113 W84 C~55Nk 2013 09 28.07656 23 41 43.773 +01 09 59.30 24.3g 13SG113 W84 C~55Nk 2013 09 29.192338 23 41 39.02 +01 09 29.7 23.1r 13SG113 W84 C~55Nk 2013 09 29.193738 23 41 39.02 +01 09 29.6 23.0i 13SG113 W84 C~55Nk 2013 09 30.126042 23 41 35.07 +01 09 05.0 23.4r 13SG113 W84 C~55Nk 2013 09 30.136563 23 41 35.03 +01 09 04.6 23.0i 13SG113 W84 C~55Nk 2013 10 12.100104 23 40 46.26 +01 03 53.8 22.6i 13SG113 W84 C~55Nk 2013 10 12.101505 23 40 46.26 +01 03 53.9 21.2z 13SG113 W84 C~55Nk 2013 11 08.121493 23 39 19.22 +00 54 05.3 23.4r 13SG113 W84 C~55Nk 2013 11 22.051458 23 38 53.00 +00 50 46.8 23.6g 13SG113 W84 C~55Nk 2015 11 05.07809 23 48 16.415 +02 14 11.70 23.1i 13SG113 W84 C~55Nk 2015 11 07.05623 23 48 11.010 +02 13 32.82 23.8r 13SG113 W84 C~55Nk 2015 11 07.05760 23 48 10.997 +02 13 32.58 24.1g 13SG113 W84 C~55Nk 2017 08 28.25795 00 01 26.811 +03 59 54.79 23.7i 13SG113 W84 C~55Nk 2017 09 27.18279 23 59 22.616 +03 47 49.82 23.3i 13SG113 W84 C~55Nk 2018 09 09.25663 00 04 59.289 +04 33 54.12 23.9g 13SG113 W84 C~55Nk 2018 11 08.13322 00 01 06.439 +04 09 00.72 23.5r 13SG113 W84 C~55Nk 2024 11 01.124250 00 26 54.579 +07 54 03.69 23.7G 13SG113 G37 C~8SPE 2024 11 01.170650 00 26 54.412 +07 54 02.54 13SG113 G37 C~8SPE 2024 11 01.216960 00 26 54.250 +07 54 01.45 13SG113 G37 C~8SPE
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 0.24 0.00 -0.10
2 0.0247 0.00 -0.21 0.00 0.04
3 0.0707 0.00 0.00 0.00 -0.00
4 0.0738 0.00 -0.01 0.00 0.02
5 0.0738 0.00 0.08 0.00 -0.05
6 0.0763 0.00 -0.04 0.00 0.07
7 0.0764 0.00 0.04 0.00 -0.05
8 0.1091 0.00 -0.18 0.00 -0.06
9 0.1091 0.00 -0.09 0.00 0.07
10 0.1831 0.00 0.14 0.00 0.34
11 0.2212 0.00 -0.03 0.00 -0.14
12 2.1734 0.00 0.14 0.00 0.13
13 2.1788 0.00 0.05 0.00 0.01
14 2.1788 0.00 -0.09 0.00 -0.21
15 3.9864 0.00 -0.10 0.00 0.03
16 4.0683 0.00 -0.01 0.00 -0.17
17 5.0185 0.00 0.22 0.00 -0.02
18 5.1825 0.00 -0.04 0.00 0.06
19 11.1646 0.00 -0.02 0.00 0.01
20 11.1648 0.00 -0.05 0.00 -0.00
21 11.1649 0.00 -0.00 0.00 0.04
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.
13SG113 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.866 46.866 46.866 ecceobj 0.180 0.180 0.180 incobj 8.029 8.029 8.029 qmin 37.703 37.659 37.695 qmax 56.077 56.149 56.046 amean 46.687 46.688 46.687 amin 46.271 46.281 46.282 amax 47.156 47.166 47.157 emean 0.177 0.177 0.177 emin 0.164 0.163 0.164 emax 0.191 0.191 0.190 imean 9.068 9.068 9.068 imin 8.536 8.539 8.540 imax 9.615 9.614 9.616 excite_mean 0.237 0.237 0.237 fracstop 1.000 1.000 1.000 cjmean 3.065 3.065 3.065 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 178.8 178.7 178.9 kozaiamp 180.0 180.0 180.0