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: 13GC137
# Created Sat Apr 27 01:14:33 2024
# Orbit generated from Bernstein formalism
# Fitting 25 observations of 25
# Arc: 1.96y
# First observation: 2013/02/08
# Last observation: 2015/01/26
Preliminary a, adot, b, bdot, g, gdot:
-0.000072 0.021757 0.000000 -0.000876 0.023048 0.000000
# Chi-squared of fit: 40.50 DOF: 44 RMS: 0.23
# Min/Max residuals: -0.66 0.51
# Exact a, adot, b, bdot, g, gdot:
1.464980E-05 2.161108E-02 1.510547E-06 -8.705039E-04 2.294684E-02 1.007856E-03
# Covariance matrix:
2.5502E-13 -9.6482E-14 2.8336E-16 -2.8272E-15 1.7292E-13 2.1955E-12
-9.6482E-14 5.2154E-13 3.3369E-15 -1.9461E-14 2.5331E-13 1.4942E-11
2.8336E-16 3.3369E-15 1.5372E-13 -1.3583E-13 2.3935E-15 1.5047E-13
-2.8272E-15 -1.9461E-14 -1.3583E-13 1.9242E-13 -1.5696E-14 -8.8274E-13
1.7292E-13 2.5331E-13 2.3935E-15 -1.5696E-14 4.0547E-13 1.2087E-11
2.1955E-12 1.4942E-11 1.5047E-13 -8.8274E-13 1.2087E-11 6.7786E-10
# lat0 lon0 xBary yBary zBary JD0
0.191350 -142.769907 0.961631 0.000776 -0.216968 2456332.084338
# Heliocentric elements and errors
Epoch: 2456330.5000 = 2013/02/07
Mean Anomaly: 118.69673 +/- 1.253
Argument of Peri: 53.55536 +/- 1.245
Long of Asc Node: 40.69826 +/- 0.002
Inclination: 2.30977 +/- 0.001
Eccentricity: 0.03052566 +/- 0.0010
Semi-Major Axis: 43.14147106 +/- 0.0052
Time of Perihelion: 2422205.1493 +/- 360.2
Perihelion: 41.82454901 +/- 0.0428
Aphelion: 44.45839312 +/- 0.0428
Period (y) 283.3679 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.45105304 +/- 0.0010
Ecliptic Y -25.72951300 +/- 0.0007
Ecliptic Z 0.14560170 +/- 0.0000
Ecliptic XDOT 0.00145779 +/- 0.0000
Ecliptic YDOT -0.00212502 +/- 0.0000
Ecliptic ZDOT -0.00010333 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.80418017 +/- 0.0009
Geocenter to KBO 43.57898529 +/- 0.0012
# Hcoef: 8.00
The following table shows the complete astrometric record for 13GC137. 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 (13GC137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.58356 14 19 47.328 -13 44 41.05 24.5r 13GC137 568 C~1XRW 2013 02 08.65196 14 19 47.275 -13 44 40.53 24.0r 13GC137 568 C~1XRW 2013 02 08.65608 14 19 47.267 -13 44 40.10 13GC137 568 C~1XRW 2013 04 04.44170 14 17 30.574 -13 33 27.46 23.7r 13GC137 568 C~1XRW 2013 04 04.48219 14 17 30.405 -13 33 26.70 24.3r 13GC137 568 C~1XRW 2013 04 04.52263 14 17 30.244 -13 33 25.95 23.7r 13GC137 568 C~1XRW 2013 04 06.61498 14 17 21.483 -13 32 41.91 13GC137 568 C~1XRW 2013 04 08.41579 14 17 13.850 -13 32 04.43 23.6r 13GC137 568 C~1XRW 2013 05 11.45033 14 14 46.450 -13 19 50.47 24.8r 13GC137 568 C~1XRW 2013 05 12.44830 14 14 42.137 -13 19 29.05 24.6r 13GC137 568 C~1XRW 2013 07 04.30754 14 12 01.466 -13 06 18.82 24.3r 13GC137 568 C~1XRW 2013 07 06.31531 14 11 59.123 -13 06 08.42 24.6r 13GC137 568 C~1XRW 2014 02 03.58522 14 24 32.371 -14 11 27.56 24.6r 13GC137 568 C~1XRW 2014 02 25.57248 14 24 16.324 -14 10 15.87 24.9r 13GC137 568 C~1XRW 2014 02 28.52057 14 24 10.970 -14 09 50.29 24.5r 13GC137 568 C~1XRW 2014 04 04.42334 14 22 21.243 -14 00 59.65 25.0r 13GC137 568 C~1XRW 2014 04 04.44293 14 22 21.158 -14 00 59.42 23.9r 13GC137 568 C~1XRW 2014 04 04.46261 14 22 21.084 -14 00 59.04 24.5r 13GC137 568 C~1XRW 2014 04 04.48274 14 22 20.993 -14 00 58.60 24.3r 13GC137 568 C~1XRW 2014 04 05.48108 14 22 16.924 -14 00 38.52 24.2r 13GC137 568 C~1XRW 2014 04 05.53642 14 22 16.666 -14 00 37.15 24.1r 13GC137 568 C~1XRW 2014 04 05.56944 14 22 16.502 -14 00 36.88 24.5r 13GC137 568 C~1XRW 2014 05 22.45377 14 18 50.313 -13 43 48.64 24.6r 13GC137 568 C~1XRW 2014 05 25.44602 14 18 38.284 -13 42 49.92 24.4r 13GC137 568 C~1XRW 2015 01 26.64290 14 29 11.690 -14 37 18.77 24.8r 13GC137 568 C~1XRW
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 0.05 0.00 -0.44
2 0.0002 -0.90 -0.43 0.24 -0.15
3 0.0002 -1.15 -0.66 0.61 0.22
4 0.1502 -2104.11 0.24 -15.64 0.05
5 0.1503 -2106.69 0.30 -15.73 -0.01
6 0.1504 -2109.15 0.46 -15.79 -0.04
7 0.1561 -2244.30 0.15 -16.14 0.46
8 0.1611 -2361.76 0.24 -17.30 -0.03
9 0.2515 -4634.69 -0.17 -33.45 -0.07
10 0.2542 -4701.22 0.20 -34.07 -0.12
11 0.3990 -7178.81 -0.28 -68.22 0.11
12 0.4045 -7214.60 -0.19 -69.84 -0.06
13 0.9856 4446.53 -0.12 -176.95 0.28
14 1.0458 4202.39 0.04 -184.08 -0.22
15 1.0539 4120.40 0.03 -184.90 -0.12
16 1.1495 2437.74 -0.06 -197.61 0.09
17 1.1495 2436.50 -0.06 -197.79 -0.07
18 1.1496 2435.36 0.06 -197.78 -0.05
19 1.1496 2433.96 -0.05 -197.80 -0.04
20 1.1524 2371.42 0.51 -197.95 0.22
21 1.1525 2367.43 0.09 -197.87 0.35
22 1.1526 2365.08 -0.12 -198.39 -0.14
23 1.2810 -802.34 0.08 -221.72 -0.00
24 1.2892 -987.20 -0.25 -223.56 -0.11
25 1.9632 8792.00 -0.11 -353.08 -0.12
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.
13GC137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.988 43.005 42.972 ecceobj 0.031 0.032 0.029 incobj 2.314 2.314 2.314 qmin 40.688 40.652 40.735 qmax 46.065 46.135 45.987 amean 43.287 43.305 43.272 amin 42.951 42.974 42.942 amax 43.630 43.649 43.619 emean 0.039 0.041 0.037 emin 0.019 0.021 0.018 emax 0.056 0.058 0.054 imean 1.590 1.596 1.584 imin 0.664 0.671 0.658 imax 2.332 2.331 2.333 excite_mean 0.049 0.051 0.048 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 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 160.6 160.3 161.0 kozaiamp 180.0 180.0 180.0