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 Sun Dec 22 02:09:39 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 21 observations of 21
# Arc: 10.97y
# First observation: 2013/09/10
# Last observation: 2024/08/30
# Chi-squared of fit: 6.01 DOF: 36 RMS: 0.09
# Min/Max residuals: -0.28 0.16
# Exact a, adot, b, bdot, g, gdot:
1.494628E-05 2.117301E-02 2.057464E-06 2.253050E-03 2.272098E-02 -4.241478E-03
# Covariance matrix:
3.1362E-13 -1.0570E-13 1.4748E-14 -7.4659E-15 4.0317E-13 -2.8035E-13
-1.0570E-13 8.3308E-14 -8.3165E-15 7.6059E-15 -1.5294E-13 3.1477E-13
1.4748E-14 -8.3165E-15 1.4921E-13 -1.8113E-14 3.5010E-14 -2.7278E-14
-7.4659E-15 7.6059E-15 -1.8113E-14 4.4518E-15 -1.1266E-14 3.1066E-14
4.0317E-13 -1.5294E-13 3.5010E-14 -1.1266E-14 1.0985E-12 -3.6759E-13
-2.8035E-13 3.1477E-13 -2.7278E-14 3.1066E-14 -3.6759E-13 1.3147E-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: 292.55278 +/- 0.030
Argument of Peri: 144.59950 +/- 0.044
Long of Asc Node: 286.09341 +/- 0.001
Inclination: 10.32345 +/- 0.000
Eccentricity: 0.19884738 +/- 0.0001
Semi-Major Axis: 46.83804919 +/- 0.0094
Time of Perihelion: 2478482.5370 +/- 30.3
Perihelion: 37.52442592 +/- 0.0079
Aphelion: 56.15167247 +/- 0.0115
Period (y) 320.5578 +/- 0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.87594539 +/- 0.0019
Ecliptic Y -15.10996250 +/- 0.0007
Ecliptic Z 6.56596914 +/- 0.0003
Ecliptic XDOT 0.00035380 +/- 0.0000
Ecliptic YDOT 0.00258295 +/- 0.0000
Ecliptic ZDOT 0.00019234 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.00032613 +/- 0.0018
Geocenter to KBO 44.01234054 +/- 0.0020
# Hcoef: 6.89
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 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 -0.00 0.00 -0.11
2 0.0523 0.00 0.16 0.00 0.09
3 0.0523 0.00 0.10 0.00 -0.03
4 0.0548 0.00 0.02 0.00 -0.11
5 0.0548 0.00 -0.12 0.00 0.06
6 0.0822 0.00 0.04 0.00 0.05
7 0.0849 0.00 -0.28 0.00 -0.05
8 0.0875 0.00 -0.04 0.00 0.06
9 0.2026 0.00 0.12 0.00 0.12
10 2.9573 0.00 0.15 0.00 -0.12
11 2.9600 0.00 -0.08 0.00 -0.03
12 7.0310 0.00 -0.04 0.00 0.05
13 7.0311 0.00 -0.04 0.00 -0.04
14 7.9104 0.00 0.09 0.00 -0.03
15 7.9105 0.00 0.04 0.00 0.02
16 7.9106 0.00 0.10 0.00 0.03
17 8.9615 0.00 -0.07 0.00 0.14
18 8.9616 0.00 -0.15 0.00 -0.05
19 8.9617 0.00 -0.08 0.00 0.04
20 10.9714 0.00 -0.08 0.00 -0.03
21 10.9716 0.00 0.13 0.00 -0.08
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:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.094 47.094 47.094 ecceobj 0.199 0.199 0.199 incobj 10.318 10.318 10.318 qmin 36.730 36.721 36.730 qmax 57.535 57.554 57.536 amean 46.925 46.924 46.925 amin 46.516 46.506 46.512 amax 47.431 47.421 47.414 emean 0.199 0.199 0.199 emin 0.184 0.185 0.185 emax 0.214 0.214 0.214 imean 11.821 11.823 11.821 imin 11.213 11.212 11.211 imax 12.462 12.462 12.462 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 188.3 188.1 188.2 kozaiamp 180.0 180.0 180.0