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: 13GE138 # Created Wed Dec 25 02:09:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 6.25y # First observation: 2013/03/07 # Last observation: 2019/06/06 # Chi-squared of fit: 25.90 DOF: 50 RMS: 0.17 # Min/Max residuals: -0.54 0.48 # Exact a, adot, b, bdot, g, gdot: 1.651841E-05 2.028549E-02 -2.526672E-06 -1.077675E-03 2.222447E-02 1.177989E-03 # Covariance matrix: 1.7184E-13 -1.2774E-13 -2.7007E-15 8.5684E-15 1.0544E-13 -1.2629E-12 -1.2774E-13 3.6731E-13 8.0172E-15 -2.4005E-14 2.9880E-14 3.5489E-12 -2.7007E-15 8.0172E-15 6.7202E-14 -1.8433E-14 4.3800E-16 8.2537E-14 8.5684E-15 -2.4005E-14 -1.8433E-14 2.3005E-14 -5.1950E-16 -2.4807E-13 1.0544E-13 2.9880E-14 4.3800E-16 -5.1950E-16 1.9143E-13 8.3013E-14 -1.2629E-12 3.5489E-12 8.2537E-14 -2.4807E-13 8.3013E-14 3.6667E-11 # lat0 lon0 xBary yBary zBary JD0 -0.374511 -140.549580 0.786021 -0.003927 -0.606507 2456359.058558 # Heliocentric elements and errors Epoch: 2456358.5000 = 2013/03/07 Mean Anomaly: 126.89190 +/- 0.261 Argument of Peri: 55.19559 +/- 0.253 Long of Asc Node: 31.55127 +/- 0.001 Inclination: 3.06898 +/- 0.000 Eccentricity: 0.05495954 +/- 0.0002 Semi-Major Axis: 44.07135684 +/- 0.0049 Time of Perihelion: 2418691.2033 +/- 77.7 Perihelion: 41.64921537 +/- 0.0090 Aphelion: 46.49349831 +/- 0.0093 Period (y) 292.5788 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.71003952 +/- 0.0007 Ecliptic Y -28.36645548 +/- 0.0006 Ecliptic Z -0.29420882 +/- 0.0000 Ecliptic XDOT 0.00147024 +/- 0.0000 Ecliptic YDOT -0.00202062 +/- 0.0000 Ecliptic ZDOT -0.00013357 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.60643334 +/- 0.0006 Geocenter to KBO 44.99543517 +/- 0.0009 # Hcoef: 7.64
The following table shows the complete astrometric record for 13GE138. 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 (13GE138) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55778 14 27 42.970 -14 59 43.83 13GE138 568 C~1XRa 2013 03 07.61473 14 27 42.854 -14 59 43.71 24.4r 13GE138 568 C~1XRa 2013 04 04.55875 14 26 11.998 -14 52 48.71 23.9r 13GE138 568 C~1XRa 2013 04 07.41899 14 26 00.550 -14 51 55.01 23.4r 13GE138 568 C~1XRa 2013 04 07.46275 14 26 00.373 -14 51 54.04 13GE138 568 C~1XRa 2013 04 07.46759 14 26 00.343 -14 51 53.88 13GE138 568 C~1XRa 2013 04 07.47260 14 26 00.317 -14 51 54.01 13GE138 568 C~1XRa 2013 04 08.45133 14 25 56.352 -14 51 35.26 23.9r 13GE138 568 C~1XRa 2013 04 08.49654 14 25 56.157 -14 51 34.38 24.0r 13GE138 568 C~1XRa 2013 04 09.39790 14 25 52.445 -14 51 17.28 23.6r 13GE138 568 C~1XRa 2013 04 09.44107 14 25 52.256 -14 51 16.46 13GE138 568 C~1XRa 2013 04 09.48468 14 25 52.075 -14 51 15.46 24.0r 13GE138 568 C~1XRa 2013 05 11.48618 14 23 33.175 -14 40 14.53 24.4r 13GE138 568 C~1XRa 2013 05 12.48847 14 23 28.874 -14 39 53.80 24.0r 13GE138 568 C~1XRa 2013 06 12.38358 14 21 34.077 -14 30 36.53 24.3r 13GE138 568 C~1XRa 2013 06 12.42921 14 21 33.930 -14 30 35.82 24.2r 13GE138 568 C~1XRa 2013 07 06.26578 14 20 42.833 -14 26 25.42 24.3r 13GE138 568 C~1XRa 2013 07 07.29286 14 20 41.568 -14 26 19.27 24.7r 13GE138 568 C~1XRa 2014 02 24.61287 14 32 32.726 -15 26 38.49 24.1r 13GE138 568 C~1XRa 2014 02 25.59592 14 32 31.321 -15 26 32.86 24.5r 13GE138 568 C~1XRa 2014 02 28.54389 14 32 26.545 -15 26 13.81 24.5r 13GE138 568 C~1XRa 2014 04 04.45477 14 30 43.887 -15 18 40.35 23.9r 13GE138 568 C~1XRa 2014 04 04.49467 14 30 43.715 -15 18 39.71 24.1r 13GE138 568 C~1XRa 2014 04 05.58481 14 30 39.401 -15 18 20.76 24.6r 13GE138 568 C~1XRa 2014 05 22.43036 14 27 18.874 -15 02 42.27 24.2r 13GE138 568 C~1XRa 2014 05 25.36167 14 27 07.181 -15 01 46.81 24.5r 13GE138 568 C~1XRa 2019 06 06.225750 14 49 05.810 -17 03 14.27 24.1G 13GE138 G37 C~36nq 2019 06 06.295800 14 49 05.536 -17 03 13.45 13GE138 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 -0.30 0.00 0.48
2 0.0002 0.00 0.06 0.00 0.00
3 0.0767 0.00 0.01 0.00 -0.08
4 0.0845 0.00 0.14 0.00 0.04
5 0.0846 0.00 0.20 0.00 0.18
6 0.0846 0.00 0.05 0.00 0.25
7 0.0846 0.00 -0.03 0.00 0.02
8 0.0873 0.00 0.33 0.00 0.08
9 0.0874 0.00 0.24 0.00 0.10
10 0.0899 0.00 0.01 0.00 -0.17
11 0.0900 0.00 -0.11 0.00 -0.18
12 0.0901 0.00 -0.08 0.00 -0.02
13 0.1778 0.00 0.19 0.00 -0.07
14 0.1805 0.00 0.02 0.00 0.00
15 0.2651 0.00 -0.11 0.00 -0.06
16 0.2652 0.00 -0.24 0.00 -0.02
17 0.3305 0.00 0.01 0.00 -0.03
18 0.3333 0.00 -0.08 0.00 -0.03
19 0.9694 0.00 -0.24 0.00 -0.03
20 0.9720 0.00 0.14 0.00 -0.03
21 0.9801 0.00 0.02 0.00 -0.17
22 1.0757 0.00 0.14 0.00 0.14
23 1.0758 0.00 -0.05 0.00 0.07
24 1.0788 0.00 -0.36 0.00 -0.54
25 1.2070 0.00 0.00 0.00 0.12
26 1.2151 0.00 0.08 0.00 -0.21
27 6.2469 0.00 0.07 0.00 0.23
28 6.2471 0.00 -0.04 0.00 -0.11
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.
13GE138 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.910 43.910 43.910 ecceobj 0.056 0.056 0.056 incobj 3.076 3.076 3.076 qmin 40.761 40.762 40.761 qmax 47.851 47.848 47.853 amean 44.218 44.218 44.218 amin 43.870 43.869 43.871 amax 44.580 44.580 44.578 emean 0.059 0.059 0.059 emin 0.044 0.044 0.044 emax 0.074 0.074 0.074 imean 2.638 2.638 2.638 imin 1.923 1.923 1.923 imax 3.181 3.181 3.181 excite_mean 0.075 0.075 0.075 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 172.8 172.9 172.8 kozaiamp 180.0 180.0 180.0