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: 13GS136
# Created Fri Apr 26 01:14:30 2024
# Orbit generated from Bernstein formalism
# Fitting 17 observations of 17
# Arc: 4.15y
# First observation: 2013/04/04
# Last observation: 2017/05/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000403 0.035454 0.000057 -0.004262 0.028115 0.000000
# Chi-squared of fit: 2.43 DOF: 28 RMS: 0.07
# Min/Max residuals: -0.18 0.14
# Exact a, adot, b, bdot, g, gdot:
1.914500E-05 3.499930E-02 -2.427317E-06 -4.172839E-03 2.891628E-02 -4.853552E-03
# Covariance matrix:
2.8503E-13 -3.4361E-13 -1.8083E-14 3.8290E-14 -6.3794E-14 -2.1340E-12
-3.4361E-13 6.8209E-13 4.0291E-14 -8.5171E-14 1.6912E-13 4.7476E-12
-1.8083E-14 4.0291E-14 1.6316E-13 -7.0431E-14 5.8826E-15 3.1382E-13
3.8290E-14 -8.5171E-14 -7.0431E-14 6.8263E-14 -1.0055E-14 -6.6726E-13
-6.3794E-14 1.6912E-13 5.8826E-15 -1.0055E-14 4.8124E-13 5.7368E-13
-2.1340E-12 4.7476E-12 3.1382E-13 -6.6726E-13 5.7368E-13 3.7173E-11
# lat0 lon0 xBary yBary zBary JD0
1.614777 -147.902780 0.298857 0.026972 -0.955588 2456386.914608
# Heliocentric elements and errors
Epoch: 2456380.5000 = 2013/03/29
Mean Anomaly: 347.23953 +/- 0.013
Argument of Peri: 197.14729 +/- 0.034
Long of Asc Node: 44.55013 +/- 0.001
Inclination: 6.98547 +/- 0.000
Eccentricity: 0.38347181 +/- 0.0001
Semi-Major Axis: 55.47601156 +/- 0.0090
Time of Perihelion: 2461730.0887 +/- 5.4
Perihelion: 34.20252475 +/- 0.0081
Aphelion: 76.74949838 +/- 0.0138
Period (y) 413.2055 +/- 0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -30.25252186 +/- 0.0007
Ecliptic Y -18.62123170 +/- 0.0004
Ecliptic Z 0.97445522 +/- 0.0000
Ecliptic XDOT 0.00213423 +/- 0.0000
Ecliptic YDOT -0.00256870 +/- 0.0000
Ecliptic ZDOT -0.00040774 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.53751415 +/- 0.0006
Geocenter to KBO 34.58259120 +/- 0.0008
# Hcoef: 8.48
The following table shows the complete astrometric record for 13GS136. 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 (13GS136) followed by the observatory code and reference code for the source of the astrometry.
2013 04 04.41383 14 01 56.582 -10 41 09.03 24.1r 13GS136 568 C~1XRV 2013 04 04.45396 14 01 56.382 -10 41 08.07 23.8r 13GS136 568 C~1XRV 2013 04 04.49439 14 01 56.174 -10 41 06.95 13GS136 568 C~1XRV 2013 04 06.58684 14 01 45.663 -10 40 13.90 24.3r 13GS136 568 C~1XRV 2013 04 08.38751 14 01 36.533 -10 39 27.64 24.0r 13GS136 568 C~1XRV 2014 02 24.55457 14 11 44.517 -11 47 49.11 23.6r 13GS136 568 C~1XRV 2014 02 25.52393 14 11 42.471 -11 47 38.71 24.0r 13GS136 568 C~1XRV 2014 02 27.63490 14 11 37.704 -11 47 14.61 24.0r 13GS136 568 C~1XRV 2014 04 05.38215 14 09 16.285 -11 35 29.85 23.5r 13GS136 568 C~1XRV 2014 04 29.33023 14 07 10.603 -11 25 21.15 23.9r 13GS136 568 C~1XRV 2014 04 29.37062 14 07 10.387 -11 25 20.03 23.8r 13GS136 568 C~1XRV 2014 04 29.41097 14 07 10.163 -11 25 19.03 23.9r 13GS136 568 C~1XRV 2014 05 22.40174 14 05 14.290 -11 16 19.15 24.1r 13GS136 568 C~1XRV 2014 05 28.37385 14 04 47.886 -11 14 21.32 23.7r 13GS136 568 C~1XRV 2015 01 26.63271 14 19 18.710 -12 41 49.92 24.0r 13GS136 568 C~1XRV 2017 05 25.46246 14 27 45.992 -13 58 43.38 23.7r 13GS136 568 C~2KOF 2017 05 30.28159 14 27 23.286 -13 57 07.53 13GS136 568 C~2KOF
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 0.03
2 0.0001 -3.10 0.07 -0.11 0.00
3 0.0002 -6.36 -0.00 -0.11 0.08
4 0.0059 -170.09 -0.03 -3.42 -0.06
5 0.0109 -312.38 -0.05 -6.15 -0.00
6 0.8929 9500.33 0.04 -830.86 0.00
7 0.8956 9468.47 -0.10 -831.12 -0.01
8 0.9014 9394.29 0.07 -831.87 -0.04
9 1.0020 7197.39 0.05 -866.24 0.09
10 1.0675 5251.24 0.04 -917.58 -0.18
11 1.0676 5247.87 0.05 -917.60 -0.07
12 1.0678 5244.43 -0.01 -917.78 -0.12
13 1.1307 3457.41 -0.03 -988.60 0.05
14 1.1471 3051.96 -0.06 -1010.07 0.14
15 1.8131 16887.41 -0.05 -1682.25 0.10
16 4.1398 25480.29 -0.06 -3661.14 0.01
17 4.1530 25131.27 0.07 -3675.97 -0.02
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.
13GS136 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 55.166 55.190 55.142 ecceobj 0.381 0.381 0.381 incobj 6.993 6.993 6.993 qmin 33.566 33.601 33.541 qmax 78.832 78.954 78.764 amean 55.463 55.463 55.463 amin 54.605 54.603 54.671 amax 56.517 56.548 56.477 emean 0.383 0.383 0.382 emin 0.370 0.370 0.371 emax 0.396 0.396 0.396 imean 6.519 6.485 6.648 imin 6.147 6.132 6.084 imax 6.881 6.782 7.118 excite_mean 0.399 0.399 0.400 fracstop 1.000 1.000 1.000 cjmean 3.034 3.035 3.034 libcent 0 180.0 180.3 180.0 libamp 0 135.1 136.5 121.9 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 166.2 171.2 178.8 kozaiamp 179.9 179.9 180.0