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: 13GA137
# Created Sat Apr 27 01:14:32 2024
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 16
# Arc: 2.92y
# First observation: 2013/04/04
# Last observation: 2016/03/05
Preliminary a, adot, b, bdot, g, gdot:
0.000028 0.020701 -0.000000 -0.000545 0.022628 0.000000
# Chi-squared of fit: 9.67 DOF: 24 RMS: 0.14
# Min/Max residuals: -0.30 0.24
# Exact a, adot, b, bdot, g, gdot:
1.456316E-05 2.085947E-02 7.496120E-07 -5.498076E-04 2.271469E-02 9.070825E-04
# Covariance matrix:
2.1325E-13 -2.1852E-13 -7.9580E-16 3.6201E-15 1.6041E-13 -1.7285E-12
-2.1852E-13 8.6058E-13 4.2851E-15 -2.0322E-14 2.1951E-13 1.2132E-11
-7.9580E-16 4.2851E-15 1.5593E-13 -7.8438E-14 1.2516E-15 6.8935E-14
3.6201E-15 -2.0322E-14 -7.8438E-14 1.0688E-13 -6.9262E-15 -3.2952E-13
1.6041E-13 2.1951E-13 1.2516E-15 -6.9262E-15 1.3579E-12 6.9161E-12
-1.7285E-12 1.2132E-11 6.8935E-14 -3.2952E-13 6.9161E-12 2.0398E-10
# lat0 lon0 xBary yBary zBary JD0
2.288969 -146.201599 0.326909 0.037845 -0.945991 2456386.926608
# Heliocentric elements and errors
Epoch: 2456380.5000 = 2013/03/29
Mean Anomaly: 133.84148 +/- 0.546
Argument of Peri: 345.48465 +/- 0.539
Long of Asc Node: 89.66742 +/- 0.016
Inclination: 2.69333 +/- 0.001
Eccentricity: 0.05502905 +/- 0.0004
Semi-Major Axis: 43.25582604 +/- 0.0086
Time of Perihelion: 2417747.9339 +/- 157.2
Perihelion: 40.87549889 +/- 0.0204
Aphelion: 45.63615319 +/- 0.0208
Period (y) 284.4953 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.52260205 +/- 0.0019
Ecliptic Y -24.72299046 +/- 0.0013
Ecliptic Z 1.75836284 +/- 0.0001
Ecliptic XDOT 0.00129932 +/- 0.0000
Ecliptic YDOT -0.00215117 +/- 0.0000
Ecliptic ZDOT -0.00006171 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.96958708 +/- 0.0017
Geocenter to KBO 44.02437616 +/- 0.0023
# Hcoef: 7.91
The following table shows the complete astrometric record for 13GA137. 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 (13GA137) followed by the observatory code and reference code for the source of the astrometry.
2013 04 04.42583 14 09 23.028 -10 37 45.11 24.4r 13GA137 568 C~1XRW 2013 04 04.46629 14 09 22.865 -10 37 43.81 24.6r 13GA137 568 C~1XRW 2013 04 04.50656 14 09 22.708 -10 37 42.96 13GA137 568 C~1XRW 2013 04 05.56132 14 09 18.401 -10 37 19.82 24.5r 13GA137 568 C~1XRW 2013 04 05.56537 14 09 18.367 -10 37 19.70 24.1r 13GA137 568 C~1XRW 2013 04 06.59893 14 09 14.141 -10 36 55.83 24.7r 13GA137 568 C~1XRW 2013 04 08.39969 14 09 06.634 -10 36 15.68 24.3r 13GA137 568 C~1XRW 2013 05 11.43388 14 06 44.452 -10 23 54.78 23.9r 13GA137 568 C~1XRW 2013 05 12.43165 14 06 40.335 -10 23 34.19 24.5r 13GA137 568 C~1XRW 2014 03 27.449302 14 14 27.15 -11 06 23.2 13GA137 T14 C~7X47 2014 03 28.425827 14 14 23.49 -11 06 03.1 13GA137 T14 C~7X47 2014 03 28.465134 14 14 23.35 -11 06 02.2 13GA137 T14 C~7X47 2014 04 05.392349 14 13 52.30 -11 03 13.3 13GA137 T14 C~7X47 2014 05 22.409508 14 10 33.30 -10 46 19.3 13GA137 T14 C~7X47 2016 03 05.365479 14 24 37.57 -12 02 56.2 13GA137 W84 C~7X47 2016 03 05.367555 14 24 37.55 -12 02 55.8 24.3V 13GA137 W84 C~7X47
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 -0.01 0.00 -0.23
2 0.0001 -2.70 -0.08 0.42 0.17
3 0.0002 -5.17 0.07 0.44 0.17
4 0.0031 -72.75 0.24 0.87 -0.18
5 0.0031 -73.26 -0.00 0.82 -0.24
6 0.0059 -139.96 ( 0.15) 2.34 ( 0.56)
7 0.0109 -257.70 -0.30 2.90 -0.08
8 0.1013 -2481.84 -0.05 -7.22 0.12
9 0.1041 -2545.97 0.12 -8.40 0.17
10 0.9775 4797.48 0.13 -121.22 0.11
11 0.9802 4739.96 -0.07 -120.17 0.02
12 0.9803 4737.71 0.05 -120.01 0.15
13 1.0020 4250.25 -0.07 -112.77 -0.08
14 1.1307 1148.30 -0.02 -136.43 -0.04
15 2.9184 14406.58 0.16 -382.49 -0.17
16 2.9184 14406.18 -0.17 -382.21 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.
13GA137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.089 43.115 43.063 ecceobj 0.056 0.056 0.057 incobj 2.693 2.692 2.693 qmin 39.572 39.613 39.547 qmax 47.441 47.447 47.401 amean 43.379 43.406 43.353 amin 43.028 43.067 43.017 amax 43.744 43.757 43.708 emean 0.066 0.066 0.066 emin 0.044 0.045 0.045 emax 0.085 0.084 0.085 imean 1.219 1.216 1.222 imin 0.066 0.077 0.056 imax 2.143 2.118 2.165 excite_mean 0.070 0.069 0.070 fracstop 1.000 1.000 1.000 cjmean 3.088 3.089 3.088 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 164.8 164.7 164.9 kozaiamp 180.0 180.0 179.9