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: 13GD138
# Created Sun Nov 24 02:09:22 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 32 observations of 32
# Arc: 10.28y
# First observation: 2013/03/07
# Last observation: 2023/06/18
# Chi-squared of fit: 13.64 DOF: 58 RMS: 0.12
# Min/Max residuals: -0.41 0.22
# Exact a, adot, b, bdot, g, gdot:
1.828763E-05 2.746334E-02 -1.206188E-07 -2.469857E-03 2.602603E-02 1.197513E-03
# Covariance matrix:
1.2088E-13 -4.8650E-14 -2.6446E-15 4.7610E-15 5.8599E-14 -1.9155E-13
-4.8650E-14 8.9252E-14 4.7787E-15 -8.6920E-15 1.6007E-14 3.5037E-13
-2.6446E-15 4.7787E-15 6.2697E-14 -9.3418E-15 2.4584E-16 2.0061E-14
4.7610E-15 -8.6920E-15 -9.3418E-15 5.5780E-15 -5.2906E-16 -3.6457E-14
5.8599E-14 1.6007E-14 2.4584E-16 -5.2906E-16 1.1314E-13 2.1934E-14
-1.9155E-13 3.5037E-13 2.0061E-14 -3.6457E-14 2.1934E-14 1.4693E-12
# lat0 lon0 xBary yBary zBary JD0
1.873788 -141.682654 0.773917 0.020372 -0.621555 2456359.054538
# Heliocentric elements and errors
Epoch: 2456358.5000 = 2013/03/07
Mean Anomaly: 11.51916 +/- 0.017
Argument of Peri: 145.62267 +/- 0.022
Long of Asc Node: 56.98437 +/- 0.000
Inclination: 5.42732 +/- 0.000
Eccentricity: 0.11210909 +/- 0.0001
Semi-Major Axis: 43.83965783 +/- 0.0028
Time of Perihelion: 2452966.0192 +/- 5.0
Perihelion: 38.92483347 +/- 0.0034
Aphelion: 48.75448218 +/- 0.0039
Period (y) 290.2745 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -31.09664059 +/- 0.0004
Ecliptic Y -23.58660681 +/- 0.0003
Ecliptic Z 1.25636317 +/- 0.0000
Ecliptic XDOT 0.00167955 +/- 0.0000
Ecliptic YDOT -0.00234936 +/- 0.0000
Ecliptic ZDOT -0.00025543 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.05004812 +/- 0.0004
Geocenter to KBO 38.42306595 +/- 0.0005
# Hcoef: 8.06
The following table shows the complete astrometric record for 13GD138. 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 (13GD138) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55376 14 26 14.739 -12 30 12.08 23.7r 13GD138 568 C~1XRa 2013 03 07.61085 14 26 14.605 -12 30 10.98 23.5r 13GD138 568 C~1XRa 2013 04 04.55473 14 24 32.009 -12 21 28.83 23.8r 13GD138 568 C~1XRa 2013 04 07.41499 14 24 19.022 -12 20 24.93 23.8r 13GD138 568 C~1XRa 2013 04 07.45875 14 24 18.827 -12 20 23.87 23.7r 13GD138 568 C~1XRa 2013 04 08.44736 14 24 14.240 -12 20 01.65 23.7r 13GD138 568 C~1XRa 2013 04 08.49256 14 24 14.034 -12 20 00.46 23.3r 13GD138 568 C~1XRa 2013 04 09.39399 14 24 09.861 -12 19 39.85 24.5r 13GD138 568 C~1XRa 2013 04 09.43719 14 24 09.651 -12 19 39.00 13GD138 568 C~1XRa 2013 04 09.48059 14 24 09.431 -12 19 37.88 23.9r 13GD138 568 C~1XRa 2013 06 12.37957 14 19 18.960 -11 57 33.97 24.1r 13GD138 568 C~1XRa 2013 06 12.42509 14 19 18.781 -11 57 33.53 23.7r 13GD138 568 C~1XRa 2013 07 04.33899 14 18 26.315 -11 54 33.46 23.8r 13GD138 568 C~1XRa 2013 07 06.34710 14 18 23.561 -11 54 28.06 23.7r 13GD138 568 C~1XRa 2013 08 02.27448 14 18 23.541 -11 56 25.33 24.1r 13GD138 568 C~1XRa 2014 02 01.65290 14 32 41.701 -13 11 20.80 24.1r 13GD138 568 C~1XRa 2014 02 02.65647 14 32 42.443 -13 11 23.07 24.9r 13GD138 568 C~1XRa 2014 02 03.59530 14 32 43.090 -13 11 24.52 23.8r 13GD138 568 C~1XRa 2014 02 24.60122 14 32 33.206 -13 10 08.52 24.3r 13GD138 568 C~1XRa 2014 02 25.58427 14 32 31.675 -13 09 59.94 24.6r 13GD138 568 C~1XRa 2014 02 28.53222 14 32 26.503 -13 09 31.86 24.0r 13GD138 568 C~1XRa 2014 04 04.42723 14 30 31.727 -12 59 58.64 24.0r 13GD138 568 C~1XRa 2014 04 05.54119 14 30 26.769 -12 59 34.82 23.8r 13GD138 568 C~1XRa 2014 05 22.43816 14 26 39.549 -12 42 09.63 23.7r 13GD138 568 C~1XRa 2014 06 26.34216 14 24 34.862 -12 33 45.94 24.1r 13GD138 568 C~1XRa 2014 07 18.30511 14 24 05.295 -12 32 47.12 13GD138 568 C~1XRa 2015 01 26.64799 14 38 25.625 -13 47 36.25 24.3r 13GD138 568 C~1XRa 2019 06 06.238080 14 55 44.437 -15 42 51.95 24.3G 13GD138 G37 C~36nq 2019 06 06.306350 14 55 44.138 -15 42 50.88 13GD138 G37 C~36nq 2023 06 15.186040 15 19 32.352 -17 56 10.95 23.3G 13GD138 G37 C~6r6l 2023 06 18.167070 15 19 19.928 -17 55 29.47 23.8G 13GD138 G37 C~6r6l 2023 06 18.199680 15 19 19.786 -17 55 28.88 13GD138 G37 C~6r6l
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 -0.41 0.00 -0.16
2 0.0002 0.00 -0.06 0.00 0.12
3 0.0767 0.00 0.04 0.00 0.06
4 0.0845 0.00 -0.03 0.00 -0.01
5 0.0846 0.00 0.13 0.00 0.07
6 0.0873 0.00 -0.16 0.00 -0.11
7 0.0874 0.00 -0.04 0.00 0.05
8 0.0899 0.00 0.21 0.00 0.11
9 0.0900 0.00 0.15 0.00 -0.02
10 0.0901 0.00 -0.05 0.00 0.11
11 0.2651 0.00 0.19 0.00 0.07
12 0.2652 0.00 -0.22 0.00 -0.09
13 0.3252 0.00 0.12 0.00 0.09
14 0.3307 0.00 0.14 0.00 -0.01
15 0.4044 0.00 0.00 0.00 0.14
16 0.9065 0.00 0.08 0.00 -0.11
17 0.9092 0.00 -0.18 0.00 -0.18
18 0.9118 0.00 0.22 0.00 -0.03
19 0.9693 0.00 0.03 0.00 0.04
20 0.9720 0.00 0.14 0.00 0.04
21 0.9801 0.00 0.04 0.00 -0.14
22 1.0756 0.00 0.03 0.00 -0.06
23 1.0787 0.00 0.01 0.00 -0.00
24 1.2071 0.00 0.03 0.00 -0.16
25 1.3026 0.00 0.02 0.00 0.08
26 1.3628 0.00 -0.21 0.00 -0.04
27 1.8894 0.00 -0.12 0.00 0.10
28 6.2469 0.00 -0.04 0.00 0.04
29 6.2471 0.00 -0.01 0.00 -0.01
30 10.2714 0.00 -0.03 0.00 0.03
31 10.2796 0.00 0.08 0.00 -0.09
32 10.2797 0.00 -0.01 0.00 0.06
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.
13GD138 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.660 43.660 43.660 ecceobj 0.108 0.108 0.108 incobj 5.431 5.431 5.431 qmin 38.169 38.259 38.170 qmax 50.179 50.082 50.137 amean 44.007 44.007 44.007 amin 43.637 43.639 43.631 amax 44.430 44.398 44.429 emean 0.111 0.110 0.110 emin 0.093 0.093 0.093 emax 0.130 0.128 0.129 imean 3.911 3.912 3.906 imin 3.040 3.041 3.040 imax 4.848 4.858 4.810 excite_mean 0.130 0.129 0.130 fracstop 1.000 1.000 1.000 cjmean 3.081 3.081 3.081 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 182.8 182.6 182.8 kozaiamp 180.0 180.0 180.0