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: 13SL106
# Created Sat Mar 15 01:09:49 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 10.97y
# First observation: 2013/09/10
# Last observation: 2024/08/30
# Chi-squared of fit: 9.11 DOF: 52 RMS: 0.10
# Min/Max residuals: -0.24 0.20
# Exact a, adot, b, bdot, g, gdot:
1.476362E-05 2.117303E-02 2.223733E-06 2.253036E-03 2.272083E-02 -4.241532E-03
# Covariance matrix:
1.5338E-13 -7.4675E-14 7.5132E-15 -6.3216E-15 6.3065E-14 -2.5944E-13
-7.4675E-14 7.4902E-14 -8.9239E-15 7.3379E-15 -8.1768E-14 3.0026E-13
7.5132E-15 -8.9239E-15 1.0147E-13 -1.4010E-14 1.6254E-14 -3.6475E-14
-6.3216E-15 7.3379E-15 -1.4010E-14 4.0769E-15 -8.0320E-15 3.0837E-14
6.3065E-14 -8.1768E-14 1.6254E-14 -8.0320E-15 3.6345E-13 -3.0024E-13
-2.5944E-13 3.0026E-13 -3.6475E-14 3.0837E-14 -3.0024E-13 1.2663E-12
# lat0 lon0 xBary yBary zBary JD0
8.579600 -20.007353 -0.126530 0.149244 -0.988682 2456545.573368
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 292.55962 +/- 0.017
Argument of Peri: 144.59328 +/- 0.027
Long of Asc Node: 286.09318 +/- 0.001
Inclination: 10.32344 +/- 0.000
Eccentricity: 0.19885432 +/- 0.0000
Semi-Major Axis: 46.83954864 +/- 0.0054
Time of Perihelion: 2478481.3651 +/- 17.4
Perihelion: 37.52530215 +/- 0.0048
Aphelion: 56.15379513 +/- 0.0068
Period (y) 320.5732 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.87622615 +/- 0.0011
Ecliptic Y -15.11007328 +/- 0.0004
Ecliptic Z 6.56602207 +/- 0.0002
Ecliptic XDOT 0.00035380 +/- 0.0000
Ecliptic YDOT 0.00258298 +/- 0.0000
Ecliptic ZDOT 0.00019234 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.00063232 +/- 0.0010
Geocenter to KBO 44.01264678 +/- 0.0012
# Hcoef: 6.93
The following table shows the complete astrometric record for 13SL106. 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 (13SL106) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.07259 22 33 12.131 +00 07 54.45 23.9g 13SL106 W84 C~55Nk 2013 09 29.16983 22 31 57.55 -00 00 23.9 23.4r 13SL106 W84 C~3clG 2013 09 29.17685 22 31 57.52 -00 00 24.2 23.3i 13SL106 W84 C~3clG 2013 09 30.07173 22 31 54.34 -00 00 47.6 23.3r 13SL106 W84 C~3clG 2013 09 30.07475 22 31 54.32 -00 00 47.5 22.8i 13SL106 W84 C~3clG 2013 10 10.10198 22 31 21.343 -00 05 03.04 23.3r 13SL106 W84 C~55Nk 2013 10 11.08899 22 31 18.37 -00 05 27.5 22.8z 13SL106 W84 C~3clG 2013 10 12.036030 22 31 15.61 -00 05 50.6 22.8i 13SL106 W84 C~55Nk 2013 11 23.05509 22 30 17.07 -00 18 24.9 23.4r 13SL106 W84 C~3clG 2015 07 21.46550 22 45 11.20 +01 32 50.6 23.3i 13SL106 T09 C~8eOK 2015 07 21.47906 22 45 11.15 +01 32 50.5 23.3i 13SL106 T09 C~8eOK 2015 07 21.58484 22 45 10.83 +01 32 49.8 23.4i 13SL106 T09 C~8eOK 2015 07 21.61447 22 45 10.74 +01 32 49.5 23.8i 13SL106 T09 C~8eOK 2015 08 20.47769 22 43 21.59 +01 25 29.1 23.1z 13SL106 T09 C~8eOK 2015 08 20.48576 22 43 21.56 +01 25 28.8 23.2z 13SL106 T09 C~8eOK 2015 08 20.50462 22 43 21.48 +01 25 28.6 23.1z 13SL106 T09 C~8eOK 2015 08 20.53574 22 43 21.35 +01 25 28.0 23.0z 13SL106 T09 C~8eOK 2016 08 25.22778 22 47 22.33 +01 58 31.4 23.3r 13SL106 W84 C~3clG 2016 08 26.21574 22 47 18.14 +01 58 09.3 24.0r 13SL106 W84 C~3clG 2020 09 21.144810 23 03 29.238 +04 09 44.43 23.1G 13SL106 G37 C~49wW 2020 09 21.187990 23 03 29.055 +04 09 43.13 13SL106 G37 C~49wW 2021 08 08.328910 23 11 09.503 +05 02 25.52 23.8G 13SL106 G37 C~4xRB 2021 08 08.375630 23 11 09.329 +05 02 24.93 13SL106 G37 C~4xRB 2021 08 08.423920 23 11 09.156 +05 02 24.28 13SL106 G37 C~4xRB 2022 08 27.242630 23 14 36.974 +05 33 22.85 23.4G 13SL106 G37 C~5nHc 2022 08 27.289460 23 14 36.769 +05 33 21.66 13SL106 G37 C~5nHc 2022 08 27.336160 23 14 36.574 +05 33 20.74 13SL106 G37 C~5nHc 2024 08 30.383490 23 23 52.040 +06 45 37.49 22.2G 13SL106 G37 C~8Dcy 2024 08 30.435980 23 23 51.827 +06 45 36.27 13SL106 G37 C~8Dcy
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 -0.13
2 0.0523 0.00 0.20 0.00 0.07
3 0.0523 0.00 0.14 0.00 -0.05
4 0.0548 0.00 0.06 0.00 -0.14
5 0.0548 0.00 -0.08 0.00 0.04
6 0.0822 0.00 0.07 0.00 0.02
7 0.0849 0.00 -0.24 0.00 -0.07
8 0.0875 0.00 -0.01 0.00 0.04
9 0.2026 0.00 0.15 0.00 0.09
10 1.8601 0.00 0.14 0.00 0.00
11 1.8601 0.00 0.01 0.00 0.01
12 1.8604 0.00 0.06 0.00 0.14
13 1.8605 0.00 0.07 0.00 0.08
14 1.9422 0.00 -0.18 0.00 0.04
15 1.9423 0.00 -0.12 0.00 -0.10
16 1.9423 0.00 -0.12 0.00 0.09
17 1.9424 0.00 -0.10 0.00 0.14
18 2.9573 0.00 0.19 0.00 -0.13
19 2.9600 0.00 -0.05 0.00 -0.04
20 7.0310 0.00 -0.04 0.00 0.03
21 7.0311 0.00 -0.04 0.00 -0.05
22 7.9104 0.00 0.11 0.00 -0.04
23 7.9105 0.00 0.06 0.00 0.01
24 7.9106 0.00 0.12 0.00 0.02
25 8.9615 0.00 -0.07 0.00 0.13
26 8.9616 0.00 -0.15 0.00 -0.05
27 8.9617 0.00 -0.08 0.00 0.03
28 10.9714 0.00 -0.09 0.00 -0.03
29 10.9716 0.00 0.12 0.00 -0.09
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.
13SL106 quality flag:2 Type: SCATNEAR SCATEXTD SCATEXTD axisobj 47.096 47.095 47.096 ecceobj 0.199 0.199 0.199 incobj 10.318 10.318 10.318 qmin 36.725 36.714 36.725 qmax 57.624 57.653 57.540 amean 46.927 46.926 46.927 amin 46.510 46.522 46.508 amax 47.450 47.456 47.440 emean 0.199 0.199 0.199 emin 0.184 0.184 0.185 emax 0.215 0.216 0.215 imean 11.823 11.823 11.823 imin 11.211 11.211 11.216 imax 12.470 12.465 12.473 excite_mean 0.286 0.286 0.286 fracstop 1.000 1.000 1.000 cjmean 3.036 3.036 3.036 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 188.1 188.2 187.9 kozaiamp 180.0 180.0 180.0