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: 13GP137
# Created Sun Nov 24 02:09:22 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 11.18y
# First observation: 2013/02/08
# Last observation: 2024/04/14
# Chi-squared of fit: 19.60 DOF: 50 RMS: 0.15
# Min/Max residuals: -0.46 0.27
# Exact a, adot, b, bdot, g, gdot:
1.459821E-05 2.123932E-02 -4.608673E-07 1.889241E-04 2.267521E-02 3.913392E-05
# Covariance matrix:
2.3451E-13 -4.3093E-14 -2.4733E-15 -4.6366E-16 1.6538E-13 -1.3612E-13
-4.3093E-14 6.9221E-14 -9.0192E-16 7.3741E-16 2.5208E-14 2.8667E-13
-2.4733E-15 -9.0192E-16 7.1387E-14 -1.1180E-14 -3.9085E-15 -4.2713E-15
-4.6366E-16 7.3741E-16 -1.1180E-14 6.0972E-15 1.8443E-16 3.3430E-15
1.6538E-13 2.5208E-14 -3.9085E-15 1.8443E-16 2.2583E-13 1.2516E-13
-1.3612E-13 2.8667E-13 -4.2713E-15 3.3430E-15 1.2516E-13 1.3023E-12
# lat0 lon0 xBary yBary zBary JD0
1.670778 -145.396575 0.950749 0.007649 -0.260435 2456332.068818
# Heliocentric elements and errors
Epoch: 2456332.5000 = 2013/02/09
Mean Anomaly: 227.14870 +/- 0.127
Argument of Peri: 206.68190 +/- 0.122
Long of Asc Node: 141.58562 +/- 0.007
Inclination: 1.74815 +/- 0.000
Eccentricity: 0.02471195 +/- 0.0001
Semi-Major Axis: 43.62226576 +/- 0.0035
Time of Perihelion: 2495167.5669 +/- 38.1
Perihelion: 42.54427458 +/- 0.0044
Aphelion: 44.70025693 +/- 0.0045
Period (y) 288.1181 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.03719679 +/- 0.0008
Ecliptic Y -24.39744347 +/- 0.0005
Ecliptic Z 1.28580319 +/- 0.0000
Ecliptic XDOT 0.00144680 +/- 0.0000
Ecliptic YDOT -0.00211218 +/- 0.0000
Ecliptic ZDOT 0.00002307 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.36939837 +/- 0.0007
Geocenter to KBO 44.10104164 +/- 0.0009
# Hcoef: 7.33
The following table shows the complete astrometric record for 13GP137. 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 (13GP137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.56804 14 11 37.713 -11 28 52.72 23.3r 13GP137 568 C~1XRY 2013 02 08.62754 14 11 37.653 -11 28 52.57 23.2r 13GP137 568 C~1XRY 2013 04 04.42583 14 09 16.998 -11 14 50.37 23.2r 13GP137 568 C~1XRY 2013 04 04.46629 14 09 16.822 -11 14 49.59 23.5r 13GP137 568 C~1XRY 2013 04 04.50656 14 09 16.637 -11 14 48.66 23.7r 13GP137 568 C~1XRY 2013 04 05.56132 14 09 12.292 -11 14 24.88 23.7r 13GP137 568 C~1XRY 2013 04 05.56537 14 09 12.287 -11 14 24.74 23.1r 13GP137 568 C~1XRY 2013 04 06.59893 14 09 07.984 -11 14 01.43 23.9r 13GP137 568 C~1XRY 2013 04 08.39969 14 09 00.435 -11 13 19.80 21.8r 13GP137 568 C~1XRY 2013 05 11.43388 14 06 36.781 -11 00 37.85 23.8r 13GP137 568 C~1XRY 2013 05 12.43165 14 06 32.616 -11 00 16.28 23.8r 13GP137 568 C~1XRY 2013 06 13.26956 14 04 41.558 -10 51 05.43 24.1r 13GP137 568 C~1XRY 2013 06 13.30999 14 04 41.442 -10 51 04.95 23.8r 13GP137 568 C~1XRY 2014 02 24.57010 14 16 02.712 -11 50 24.30 24.1r 13GP137 568 C~1XRY 2014 02 25.53970 14 16 00.999 -11 50 13.11 24.1r 13GP137 568 C~1XRY 2014 04 23.21750 14 12 43.31 -11 31 53.6 13GP137 W84 C~1j9S 2014 04 24.23938 14 12 38.80 -11 31 30.0 24.5V 13GP137 W84 C~1j9S 2014 04 25.23936 14 12 34.36 -11 31 06.9 13GP137 W84 C~1j9S 2014 04 26.17361 14 12 30.20 -11 30 45.2 13GP137 W84 C~1j9S 2014 05 22.46154 14 10 38.583 -11 21 15.78 24.2r 13GP137 568 C~1XRY 2014 05 25.45403 14 10 27.193 -11 20 19.17 24.1r 13GP137 568 C~1XRY 2016 03 13.36439 14 24 55.21 -12 33 22.9 24.3R 13GP137 G37 C~1pQU 2016 03 13.44326 14 24 54.98 -12 33 21.5 13GP137 G37 C~1pQU 2016 05 07.36834 14 21 14.951 -12 14 13.36 23.8r 13GP137 568 C~2KOG 2016 05 07.43430 14 21 14.652 -12 14 11.83 23.9r 13GP137 568 C~2KOG 2016 05 29.34785 14 19 44.899 -12 06 55.91 24.2w 13GP137 568 C~2KOG 2024 04 14.427790 15 02 07.127 -15 20 19.42 23.7G 13GP137 G37 C~7zmB 2024 04 14.468090 15 02 06.984 -15 20 18.53 13GP137 G37 C~7zmB
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 0.08 0.00 0.10
2 0.0002 0.00 -0.30 0.00 -0.05
3 0.1502 0.00 0.19 0.00 0.16
4 0.1503 0.00 0.09 0.00 0.03
5 0.1504 0.00 -0.15 0.00 0.05
6 0.1533 0.00 -0.03 0.00 -0.06
7 0.1533 0.00 0.15 0.00 -0.01
8 0.1561 0.00 0.05 0.00 -0.25
9 0.1611 0.00 -0.10 0.00 0.09
10 0.2515 0.00 -0.01 0.00 -0.12
11 0.2542 0.00 0.06 0.00 -0.02
12 0.3414 0.00 0.18 0.00 -0.12
13 0.3415 0.00 0.06 0.00 -0.13
14 1.0431 0.00 0.02 0.00 0.01
15 1.0458 0.00 0.11 0.00 0.11
16 1.2010 0.00 -0.15 0.00 0.27
17 1.2038 0.00 0.14 0.00 0.13
18 1.2065 0.00 0.04 0.00 0.03
19 1.2091 0.00 -0.28 0.00 0.08
20 1.2810 0.00 -0.46 0.00 0.09
21 1.2892 0.00 0.27 0.00 0.06
22 3.0905 0.00 0.09 0.00 -0.31
23 3.0907 0.00 0.10 0.00 -0.18
24 3.2411 0.00 -0.02 0.00 -0.07
25 3.2412 0.00 -0.08 0.00 0.02
26 3.3012 0.00 -0.04 0.00 0.03
27 11.1783 0.00 -0.19 0.00 -0.04
28 11.1784 0.00 0.21 0.00 0.10
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.
13GP137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.468 43.468 43.468 ecceobj 0.029 0.029 0.029 incobj 1.750 1.750 1.750 qmin 41.703 41.696 41.713 qmax 45.995 45.994 45.996 amean 43.773 43.773 43.773 amin 43.438 43.438 43.438 amax 44.116 44.114 44.117 emean 0.028 0.028 0.028 emin 0.011 0.011 0.011 emax 0.043 0.043 0.043 imean 1.720 1.720 1.720 imin 0.981 0.981 0.981 imax 2.370 2.369 2.370 excite_mean 0.041 0.041 0.041 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.097 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 184.3 184.3 184.3 kozaiamp 180.0 180.0 179.9