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: 13GB137
# Created Fri May 3 01:14:29 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 13 observations of 13
# Arc: 10.91y
# First observation: 2005/05/04
# Last observation: 2016/04/01
# Chi-squared of fit: 6.29 DOF: 20 RMS: 0.12
# Min/Max residuals: -0.17 0.27
# Exact a, adot, b, bdot, g, gdot:
1.537229E-05 2.301263E-02 7.567484E-07 1.312411E-03 2.378016E-02 3.862477E-04
# Covariance matrix:
1.4656E-12 -3.0459E-13 1.1609E-14 -9.2985E-15 -1.3622E-13 -6.6362E-13
-3.0459E-13 1.4690E-13 -9.2036E-15 7.4462E-15 1.5203E-13 5.3159E-13
1.1609E-14 -9.2036E-15 1.2536E-12 -1.4080E-13 -1.1459E-14 -3.7843E-14
-9.2985E-15 7.4462E-15 -1.4080E-13 1.7645E-14 1.0472E-14 3.0828E-14
-1.3622E-13 1.5203E-13 -1.1459E-14 1.0472E-14 9.0169E-13 7.5024E-13
-6.6362E-13 5.3159E-13 -3.7843E-14 3.0828E-14 7.5024E-13 2.2013E-12
# lat0 lon0 xBary yBary zBary JD0
1.273355 -156.904695 -0.359538 0.020938 -0.938213 2453494.860480
# Heliocentric elements and errors
Epoch: 2453494.5000 = 2005/05/04
Mean Anomaly: 40.42251 +/- 0.136
Argument of Peri: 337.59434 +/- 0.149
Long of Asc Node: 182.60758 +/- 0.003
Inclination: 3.47702 +/- 0.000
Eccentricity: 0.03869383 +/- 0.0001
Semi-Major Axis: 44.27068186 +/- 0.0068
Time of Perihelion: 2441413.7603 +/- 40.7
Perihelion: 42.55767943 +/- 0.0074
Aphelion: 45.98368429 +/- 0.0079
Period (y) 294.5659 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -39.39824981 +/- 0.0015
Ecliptic Y -17.19128076 +/- 0.0007
Ecliptic Z 0.93455321 +/- 0.0001
Ecliptic XDOT 0.00100209 +/- 0.0000
Ecliptic YDOT -0.00246033 +/- 0.0000
Ecliptic ZDOT 0.00015211 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.99574607 +/- 0.0014
Geocenter to KBO 42.05189548 +/- 0.0017
# Hcoef: 7.89
The following table shows the complete astrometric record for 13GB137. 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 (13GB137) followed by the observatory code and reference code for the source of the astrometry.
2005 05 04.359737 13 27 22.56 -07 47 37.1 13GB137 T14 C~7X47 2013 04 04.43770 14 10 15.018 -11 10 50.01 24.3r 13GB137 568 C~1XRW 2013 04 04.47824 14 10 14.820 -11 10 48.86 24.0r 13GB137 568 C~1XRW 2013 04 04.51865 14 10 14.660 -11 10 48.03 13GB137 568 C~1XRW 2013 05 11.445829 14 07 31.70 -10 56 00.6 13GB137 T14 C~7X47 2013 05 12.443555 14 07 27.44 -10 55 38.1 13GB137 T14 C~7X47 2013 07 04.302855 14 04 54.56 -10 43 07.2 13GB137 T14 C~7X47 2014 02 27.650597 14 17 16.53 -11 44 27.3 13GB137 T14 C~7X47 2014 04 29.340308 14 13 32.80 -11 23 14.7 13GB137 T14 C~7X47 2014 04 29.385742 14 13 32.58 -11 23 13.9 13GB137 T14 C~7X47 2014 04 29.432574 14 13 32.38 -11 23 12.4 13GB137 T14 C~7X47 2016 04 01.459404 14 25 47.31 -12 17 33.3 13GB137 T09 C~7X47 2016 04 01.605936 14 25 46.74 -12 17 30.2 13GB137 T09 C~7X48
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 7.9181 0.00 0.24 0.00 -0.08
3 7.9182 0.00 -0.14 0.00 0.11
4 7.9183 0.00 0.04 0.00 -0.01
5 8.0194 0.00 0.08 0.00 -0.15
6 8.0221 0.00 0.01 0.00 -0.03
7 8.1669 0.00 -0.09 0.00 -0.09
8 8.8194 0.00 -0.17 0.00 -0.10
9 8.9856 0.00 0.04 0.00 0.17
10 8.9857 0.00 -0.14 0.00 -0.11
11 8.9858 0.00 0.09 0.00 0.27
12 10.9106 0.00 -0.12 0.00 0.04
13 10.9110 0.00 0.18 0.00 -0.04
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.
13GB137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.714 43.714 43.714 ecceobj 0.031 0.031 0.031 incobj 3.496 3.496 3.496 qmin 41.685 41.684 41.687 qmax 46.565 46.574 46.554 amean 44.023 44.023 44.023 amin 43.680 43.685 43.678 amax 44.378 44.376 44.375 emean 0.034 0.034 0.034 emin 0.017 0.017 0.018 emax 0.050 0.050 0.049 imean 3.959 3.959 3.959 imin 3.342 3.342 3.343 imax 4.608 4.608 4.608 excite_mean 0.077 0.077 0.077 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 183.2 183.1 183.1 kozaiamp 180.0 179.9 179.9