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: 13SF112
# Created Wed Dec 25 02:09:35 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 8.91y
# First observation: 2013/09/29
# Last observation: 2022/08/27
# Chi-squared of fit: 15.89 DOF: 52 RMS: 0.13
# Min/Max residuals: -0.42 0.25
# Exact a, adot, b, bdot, g, gdot:
1.527255E-05 2.183564E-02 8.673872E-07 -5.099448E-05 2.316125E-02 6.520397E-05
# Covariance matrix:
2.0335E-13 -8.4262E-14 -1.7977E-16 1.4316E-16 -1.7326E-14 -2.9824E-13
-8.4262E-14 5.4617E-14 6.9202E-17 -1.1242E-16 2.9903E-15 2.3145E-13
-1.7977E-16 6.9202E-17 1.2766E-13 -2.5405E-14 1.5734E-15 7.7027E-16
1.4316E-16 -1.1242E-16 -2.5405E-14 8.3736E-15 -8.6482E-18 -5.6304E-16
-1.7326E-14 2.9903E-15 1.5734E-15 -8.6482E-18 2.3155E-13 7.7476E-14
-2.9824E-13 2.3145E-13 7.7027E-16 -5.6304E-16 7.7476E-14 1.1753E-12
# lat0 lon0 xBary yBary zBary JD0
3.837669 -10.989188 -0.290795 0.064276 -0.956654 2456564.703928
# Heliocentric elements and errors
Epoch: 2456564.5000 = 2013/09/29
Mean Anomaly: 137.74561 +/- 0.316
Argument of Peri: 313.64865 +/- 0.312
Long of Asc Node: 257.14628 +/- 0.004
Inclination: 3.75724 +/- 0.000
Eccentricity: 0.01110556 +/- 0.0001
Semi-Major Axis: 43.77017192 +/- 0.0036
Time of Perihelion: 2416093.7669 +/- 93.1
Perihelion: 43.28407960 +/- 0.0043
Aphelion: 44.25626424 +/- 0.0044
Period (y) 289.5847 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 43.28519354 +/- 0.0009
Ecliptic Y -8.10604664 +/- 0.0002
Ecliptic Z 2.88974929 +/- 0.0001
Ecliptic XDOT 0.00049381 +/- 0.0000
Ecliptic YDOT 0.00253096 +/- 0.0000
Ecliptic ZDOT -0.00000536 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.13237139 +/- 0.0009
Geocenter to KBO 43.17559677 +/- 0.0009
# Hcoef: 7.29
The following table shows the complete astrometric record for 13SF112. 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 (13SF112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.20315 23 13 35.054 -00 48 59.12 23.4r 13SF112 W84 C~52RU 2013 09 30.10989 23 13 31.448 -00 49 23.72 23.5r 13SF112 W84 C~52RU 2013 09 30.11437 23 13 31.437 -00 49 23.84 22.7i 13SF112 W84 C~52RU 2013 10 11.10657 23 12 49.984 -00 54 14.39 23.3z 13SF112 W84 C~52RU 2013 10 12.08494 23 12 46.552 -00 54 39.33 23.3i 13SF112 W84 C~52RU 2013 10 12.08781 23 12 46.558 -00 54 39.43 23.0z 13SF112 W84 C~52RU 2013 10 28.02795 23 11 57.589 -01 00 50.37 23.7r 13SF112 W84 C~52RU 2016 08 01.47069 23 31 10.64 +01 01 28.6 24.3z 13SF112 T09 C~85Dw 2016 08 01.49230 23 31 10.56 +01 01 28.3 23.6z 13SF112 T09 C~85Dw 2016 08 01.49500 23 31 10.59 +01 01 28.1 23.6z 13SF112 T09 C~85Dw 2016 08 01.55200 23 31 10.41 +01 01 27.3 23.4z 13SF112 T09 C~85Dw 2016 08 01.57640 23 31 10.33 +01 01 26.9 23.6z 13SF112 T09 C~85Dw 2016 09 07.37372 23 28 53.87 +00 48 14.5 24.4r 13SF112 T09 C~7bIA 2016 09 07.44502 23 28 53.57 +00 48 12.3 23.9r 13SF112 T09 C~7bIA 2016 09 07.44719 23 28 53.56 +00 48 12.3 24.0r 13SF112 T09 C~7bIA 2016 09 07.47817 23 28 53.41 +00 48 11.6 24.1r 13SF112 T09 C~7bIB 2016 09 07.48918 23 28 53.37 +00 48 11.3 24.7r 13SF112 T09 C~7bIB 2016 09 26.14177 23 27 34.581 +00 39 37.95 23.5i 13SF112 W84 C~52RU 2016 09 26.14314 23 27 34.577 +00 39 37.91 23.8r 13SF112 W84 C~52RU 2016 09 30.12844 23 27 18.237 +00 37 46.77 22.9z 13SF112 W84 C~52RU 2016 10 05.11964 23 26 58.341 +00 35 29.21 23.3i 13SF112 W84 C~52RU 2016 10 05.12101 23 26 58.334 +00 35 29.07 23.6r 13SF112 W84 C~52RU 2017 11 09.04336 23 29 44.911 +00 50 43.09 23.6r 13SF112 W84 C~52RU 2017 11 15.05477 23 29 33.609 +00 48 59.86 23.7g 13SF112 W84 C~52RU 2017 11 15.05615 23 29 33.632 +00 49 00.18 23.9r 13SF112 W84 C~52RU 2017 11 15.05752 23 29 33.621 +00 48 59.94 23.4i 13SF112 W84 C~52RU 2022 08 27.388110 23 57 19.861 +03 46 42.29 23.3G 13SF112 G37 C~5nHc 2022 08 27.421980 23 57 19.725 +03 46 41.61 13SF112 G37 C~5nHc 2022 08 27.457270 23 57 19.600 +03 46 40.67 13SF112 G37 C~5nHc
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 -0.20
2 0.0025 0.00 -0.09 0.00 -0.12
3 0.0025 0.00 0.02 0.00 -0.12
4 0.0326 0.00 -0.19 0.00 0.13
5 0.0353 0.00 0.00 0.00 0.07
6 0.0353 0.00 0.24 0.00 0.04
7 0.0789 0.00 0.09 0.00 -0.12
8 2.8399 0.00 -0.18 0.00 0.11
9 2.8399 0.00 -0.42 0.00 0.13
10 2.8400 0.00 0.15 0.00 -0.03
11 2.8401 0.00 -0.00 0.00 0.02
12 2.8402 0.00 -0.11 0.00 -0.02
13 2.9409 0.00 0.16 0.00 0.20
14 2.9411 0.00 0.25 0.00 -0.11
15 2.9411 0.00 0.24 0.00 -0.05
16 2.9412 0.00 -0.01 0.00 0.07
17 2.9412 0.00 0.10 0.00 0.06
18 2.9923 0.00 -0.02 0.00 0.04
19 2.9923 0.00 0.01 0.00 0.03
20 3.0032 0.00 0.02 0.00 -0.02
21 3.0169 0.00 0.07 0.00 0.12
22 3.0169 0.00 0.04 0.00 0.02
23 4.1118 0.00 0.08 0.00 0.07
24 4.1283 0.00 -0.34 0.00 -0.20
25 4.1283 0.00 0.04 0.00 0.14
26 4.1283 0.00 -0.09 0.00 -0.08
27 8.9095 0.00 0.03 0.00 -0.04
28 8.9096 0.00 -0.07 0.00 0.02
29 8.9097 0.00 0.08 0.00 -0.13
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.
13SF112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.004 44.004 44.004 ecceobj 0.008 0.008 0.008 incobj 3.760 3.760 3.760 qmin 42.619 42.621 42.619 qmax 45.156 45.154 45.157 amean 43.859 43.859 43.860 amin 43.523 43.523 43.523 amax 44.190 44.190 44.189 emean 0.010 0.010 0.010 emin 0.000 0.000 0.000 emax 0.022 0.022 0.022 imean 5.502 5.502 5.502 imin 4.878 4.878 4.878 imax 6.062 6.062 6.062 excite_mean 0.097 0.097 0.097 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 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 181.3 181.3 181.2 kozaiamp 180.0 179.9 179.9