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: 13GG137
# Created Sun Dec 22 02:09:26 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 27 observations of 27
# Arc: 6.32y
# First observation: 2013/02/08
# Last observation: 2019/06/06
# Chi-squared of fit: 22.86 DOF: 48 RMS: 0.16
# Min/Max residuals: -0.59 0.43
# Exact a, adot, b, bdot, g, gdot:
1.832173E-05 3.178219E-02 2.952567E-06 -6.423582E-04 2.867237E-02 3.555591E-03
# Covariance matrix:
3.2387E-13 -1.9038E-13 -5.6684E-15 4.0477E-15 1.4637E-13 -1.1090E-12
-1.9038E-13 3.0546E-13 3.7981E-15 -6.3132E-15 2.0974E-14 1.7478E-12
-5.6684E-15 3.7981E-15 8.2009E-14 -2.5573E-14 -3.4740E-15 2.5601E-14
4.0477E-15 -6.3132E-15 -2.5573E-14 2.2624E-14 -6.7176E-17 -3.9222E-14
1.4637E-13 2.0974E-14 -3.4740E-15 -6.7176E-17 1.7394E-13 3.1246E-14
-1.1090E-12 1.7478E-12 2.5601E-14 -3.9222E-14 3.1246E-14 1.0851E-11
# lat0 lon0 xBary yBary zBary JD0
2.142433 -145.113617 0.951972 0.009624 -0.255866 2456332.080458
# Heliocentric elements and errors
Epoch: 2456332.5000 = 2013/02/09
Mean Anomaly: 34.16545 +/- 0.017
Argument of Peri: 73.05434 +/- 0.026
Long of Asc Node: 96.02060 +/- 0.006
Inclination: 2.39281 +/- 0.000
Eccentricity: 0.13545429 +/- 0.0001
Semi-Major Axis: 39.27448518 +/- 0.0037
Time of Perihelion: 2447800.5391 +/- 4.5
Perihelion: 33.95458762 +/- 0.0056
Aphelion: 44.59438274 +/- 0.0062
Period (y) 246.1353 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -29.34209615 +/- 0.0004
Ecliptic Y -19.29743983 +/- 0.0003
Ecliptic Z 1.30392499 +/- 0.0000
Ecliptic XDOT 0.00144936 +/- 0.0000
Ecliptic YDOT -0.00268382 +/- 0.0000
Ecliptic ZDOT -0.00004847 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.14322579 +/- 0.0004
Geocenter to KBO 34.87672949 +/- 0.0005
# Hcoef: 8.78
The following table shows the complete astrometric record for 13GG137. 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 (13GG137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.57968 14 13 21.448 -11 07 51.21 23.6r 13GG137 568 C~1XRX 2013 04 04.43770 14 10 34.382 -10 50 57.71 24.3r 13GG137 568 C~1XRX 2013 04 04.47824 14 10 34.157 -10 50 56.71 24.0r 13GG137 568 C~1XRX 2013 04 04.51865 14 10 33.945 -10 50 55.49 23.9r 13GG137 568 C~1XRX 2013 04 06.61093 14 10 23.332 -10 49 57.76 23.8r 13GG137 568 C~1XRX 2013 04 08.41181 14 10 14.107 -10 49 07.54 23.5r 13GG137 568 C~1XRX 2013 05 11.44582 14 07 17.682 -10 33 50.43 24.2r 13GG137 568 C~1XRX 2013 05 12.44355 14 07 12.568 -10 33 24.77 24.8r 13GG137 568 C~1XRX 2013 06 13.28196 14 04 57.272 -10 22 47.64 24.3r 13GG137 568 C~1XRX 2013 06 13.32253 14 04 57.149 -10 22 46.69 24.0r 13GG137 568 C~1XRX 2013 07 04.30285 14 04 11.686 -10 20 03.71 24.2r 13GG137 568 C~1XRX 2013 07 06.31139 14 04 09.577 -10 20 00.61 24.3r 13GG137 568 C~1XRX 2014 02 24.58563 14 20 00.672 -11 43 29.08 24.5r 13GG137 568 C~1XRX 2014 02 25.55523 14 19 58.763 -11 43 16.27 24.4r 13GG137 568 C~1XRX 2014 02 28.51669 14 19 52.319 -11 42 34.64 24.7r 13GG137 568 C~1XRX 2014 04 04.41916 14 17 40.007 -11 30 05.51 23.9r 13GG137 568 C~1XRX 2014 04 04.45865 14 17 39.815 -11 30 04.35 24.2r 13GG137 568 C~1XRX 2014 04 05.47600 14 17 34.736 -11 29 36.94 13GG137 568 C~1XRX 2014 04 05.53127 14 17 34.473 -11 29 35.86 24.1r 13GG137 568 C~1XRX 2014 04 29.34030 14 15 28.151 -11 18 41.21 23.8r 13GG137 568 C~1XRX 2014 04 29.34534 14 15 28.123 -11 18 41.15 24.1r 13GG137 568 C~1XRX 2014 04 29.42745 14 15 27.667 -11 18 38.76 24.3r 13GG137 568 C~1XRX 2014 04 29.43257 14 15 27.634 -11 18 38.63 24.4r 13GG137 568 C~1XRX 2014 05 25.45015 14 13 14.060 -11 07 46.40 24.1r 13GG137 568 C~1XRX 2014 06 26.30928 14 11 22.814 -10 59 46.25 24.8r 13GG137 568 C~1XRX 2019 06 06.220010 14 47 33.938 -14 08 14.20 24.3G 13GG137 G37 C~36nq 2019 06 06.288820 14 47 33.598 -14 08 13.04 13GG137 G37 C~36nq
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 -0.39 0.00 -0.59
2 0.1502 0.00 0.37 0.00 -0.01
3 0.1503 0.00 0.11 0.00 -0.12
4 0.1504 0.00 0.04 0.00 -0.00
5 0.1561 0.00 -0.11 0.00 0.07
6 0.1611 0.00 -0.00 0.00 0.23
7 0.2515 0.00 -0.13 0.00 -0.09
8 0.2542 0.00 -0.09 0.00 0.05
9 0.3414 0.00 0.07 0.00 -0.07
10 0.3415 0.00 0.19 0.00 0.34
11 0.3990 0.00 0.02 0.00 -0.07
12 0.4045 0.00 -0.10 0.00 0.03
13 1.0431 0.00 0.03 0.00 -0.02
14 1.0458 0.00 0.08 0.00 0.05
15 1.0539 0.00 0.06 0.00 -0.05
16 1.1495 0.00 0.02 0.00 -0.15
17 1.1496 0.00 0.13 0.00 -0.03
18 1.1524 0.00 -0.28 0.00 0.43
19 1.1525 0.00 -0.01 0.00 0.04
20 1.2177 0.00 0.06 0.00 0.04
21 1.2177 0.00 0.05 0.00 -0.03
22 1.2179 0.00 0.03 0.00 0.11
23 1.2179 0.00 -0.04 0.00 0.10
24 1.2892 0.00 -0.08 0.00 -0.15
25 1.3764 0.00 0.03 0.00 -0.10
26 6.3207 0.00 0.15 0.00 0.02
27 6.3209 0.00 -0.19 0.00 -0.07
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.
13GG137 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.127 39.127 39.127 ecceobj 0.132 0.132 0.132 incobj 2.392 2.392 2.392 qmin 33.190 33.190 33.191 qmax 46.097 46.104 46.088 amean 39.458 39.458 39.458 amin 39.056 39.056 39.055 amax 39.905 39.907 39.903 emean 0.140 0.140 0.140 emin 0.124 0.124 0.124 emax 0.157 0.157 0.157 imean 0.849 0.850 0.849 imin 0.143 0.141 0.141 imax 1.386 1.387 1.386 excite_mean 0.141 0.141 0.141 fracstop 1.000 1.000 1.000 cjmean 3.029 3.029 3.029 libcent 0 180.7 180.7 180.6 libamp 0 66.7 66.7 66.6 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 179.0 179.0 179.0 kozaiamp 180.0 180.0 180.0