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: 13GY137
# Created Sun Nov 24 02:09:22 2024
# Orbit generated from Bernstein formalism
# Fitting 37 observations of 37
# Arc: 4.30y
# First observation: 2013/02/08
# Last observation: 2017/05/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000197 0.025141 0.000010 -0.002331 0.024534 0.000000
# Chi-squared of fit: 13.65 DOF: 68 RMS: 0.11
# Min/Max residuals: -0.35 0.39
# Exact a, adot, b, bdot, g, gdot:
1.555765E-05 2.470601E-02 -7.214007E-07 -2.282990E-03 2.440038E-02 -9.433396E-04
# Covariance matrix:
1.4093E-13 -5.2119E-14 -2.6183E-15 5.9917E-15 9.2394E-14 -6.5654E-13
-5.2119E-14 2.0617E-13 7.7672E-15 -2.3347E-14 6.7520E-14 2.6193E-12
-2.6183E-15 7.7672E-15 6.2960E-14 -2.5855E-14 9.0810E-16 1.1773E-13
5.9917E-15 -2.3347E-14 -2.5855E-14 2.8688E-14 -5.3273E-15 -3.4728E-13
9.2394E-14 6.7520E-14 9.0810E-16 -5.3273E-15 1.6715E-13 6.1937E-13
-6.5654E-13 2.6193E-12 1.1773E-13 -3.4728E-13 6.1937E-13 3.8907E-11
# lat0 lon0 xBary yBary zBary JD0
0.648230 -145.700571 0.949372 0.003057 -0.265505 2456332.064938
# Heliocentric elements and errors
Epoch: 2456330.5000 = 2013/02/07
Mean Anomaly: 326.46800 +/- 0.105
Argument of Peri: 213.48163 +/- 0.134
Long of Asc Node: 39.91645 +/- 0.000
Inclination: 5.31610 +/- 0.000
Eccentricity: 0.09843244 +/- 0.0002
Semi-Major Axis: 44.78145085 +/- 0.0031
Time of Perihelion: 2466525.8628 +/- 31.8
Perihelion: 40.37350344 +/- 0.0074
Aphelion: 49.18939826 +/- 0.0076
Period (y) 299.6784 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.60695030 +/- 0.0006
Ecliptic Y -22.45652627 +/- 0.0004
Ecliptic Z 0.46362546 +/- 0.0000
Ecliptic XDOT 0.00164098 +/- 0.0000
Ecliptic YDOT -0.00223111 +/- 0.0000
Ecliptic ZDOT -0.00025721 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.25713914 +/- 0.0005
Geocenter to KBO 40.98296285 +/- 0.0007
# Hcoef: 7.58
The following table shows the complete astrometric record for 13GY137. 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 (13GY137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.56416 14 09 03.396 -12 20 34.09 23.2r 13GY137 568 C~1XRZ 2013 02 08.62358 14 09 03.350 -12 20 33.57 13GY137 568 C~1XRZ 2013 03 07.54942 14 08 15.425 -12 16 34.92 23.4r 13GY137 568 C~1XRZ 2013 03 07.60676 14 08 15.248 -12 16 34.06 23.4r 13GY137 568 C~1XRZ 2013 04 04.42184 14 06 30.779 -12 07 46.70 13GY137 568 C~1XRZ 2013 04 04.46233 14 06 30.597 -12 07 45.83 13GY137 568 C~1XRZ 2013 04 04.50260 14 06 30.408 -12 07 45.00 24.2r 13GY137 568 C~1XRZ 2013 04 05.55312 14 06 25.731 -12 07 21.09 23.8r 13GY137 568 C~1XRZ 2013 04 05.55702 14 06 25.733 -12 07 21.24 23.7r 13GY137 568 C~1XRZ 2013 04 06.59497 14 06 21.089 -12 06 57.80 23.7r 13GY137 568 C~1XRZ 2013 04 07.41104 14 06 17.420 -12 06 39.32 23.5r 13GY137 568 C~1XRZ 2013 04 07.45481 14 06 17.220 -12 06 38.37 23.8r 13GY137 568 C~1XRZ 2013 04 08.39569 14 06 12.969 -12 06 16.78 23.7r 13GY137 568 C~1XRZ 2013 04 08.44342 14 06 12.751 -12 06 15.68 23.2r 13GY137 568 C~1XRZ 2013 04 08.48862 14 06 12.551 -12 06 14.76 23.8r 13GY137 568 C~1XRZ 2013 04 09.39005 14 06 08.442 -12 05 54.02 23.9r 13GY137 568 C~1XRZ 2013 04 09.43325 14 06 08.240 -12 05 53.04 23.5r 13GY137 568 C~1XRZ 2013 04 09.47643 14 06 08.035 -12 05 52.03 23.1r 13GY137 568 C~1XRZ 2013 05 12.42771 14 03 34.537 -11 53 03.95 23.4r 13GY137 568 C~1XRZ 2013 06 13.26550 14 01 37.005 -11 43 36.88 24.0r 13GY137 568 C~1XRZ 2013 06 13.30597 14 01 36.901 -11 43 36.43 23.9r 13GY137 568 C~1XRZ 2013 07 06.29463 14 00 55.250 -11 40 43.54 13GY137 568 C~1XRZ 2014 02 25.52781 14 14 00.562 -12 54 46.09 23.7r 13GY137 568 C~1XRZ 2014 02 27.63879 14 13 56.204 -12 54 25.22 23.7r 13GY137 568 C~1XRZ 2014 03 28.43390 14 12 23.784 -12 46 52.32 23.3r 13GY137 568 C~1XRZ 2014 03 28.47295 14 12 23.621 -12 46 51.54 24.0r 13GY137 568 C~1XRZ 2014 04 05.40246 14 11 49.807 -12 44 04.95 23.8r 13GY137 568 C~1XRZ 2014 06 26.31316 14 06 25.474 -12 18 03.12 24.1r 13GY137 568 C~1XRZ 2014 06 26.31711 14 06 25.475 -12 18 03.06 24.0r 13GY137 568 C~1XRZ 2015 01 26.63271 14 19 36.115 -13 31 14.88 23.8r 13GY137 568 C~1XRZ 2015 04 25.16643 14 15 44.29 -13 13 06.5 13GY137 W84 C~2fc7 2015 04 25.23530 14 15 43.95 -13 13 04.9 23.8V 13GY137 W84 C~2fc7 2015 04 26.19656 14 15 39.35 -13 12 42.7 13GY137 W84 C~2fc7 2015 04 26.23104 14 15 39.20 -13 12 42.1 13GY137 W84 C~3vQq 2017 05 25.46246 14 24 19.746 -14 14 06.51 23.7r 13GY137 568 C~2KOG 2017 05 30.28159 14 23 59.835 -14 12 35.27 23.5r 13GY137 568 C~2KOG 2017 05 30.34663 14 23 59.567 -14 12 34.02 23.5r 13GY137 568 C~2KOG
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 0.09 0.00 -0.16
2 0.0002 -0.81 -0.13 0.26 0.15
3 0.0739 -742.51 0.19 -11.53 0.01
4 0.0740 -745.24 0.10 -11.59 0.00
5 0.1502 -2365.07 -0.06 -32.69 -0.09
6 0.1503 -2367.88 -0.05 -32.77 -0.11
7 0.1504 -2370.77 -0.12 -32.93 -0.22
8 0.1533 -2443.41 -0.35 -33.66 0.10
9 0.1533 -2443.34 0.00 -33.79 -0.03
10 0.1561 -2515.37 0.04 -34.80 -0.00
11 0.1584 -2572.26 -0.08 -35.64 -0.08
12 0.1585 -2575.35 -0.04 -35.74 -0.12
13 0.1611 -2641.33 -0.01 -36.56 0.01
14 0.1612 -2644.71 0.02 -36.60 0.03
15 0.1613 -2647.78 0.19 -36.73 -0.03
16 0.1638 -2711.52 0.03 -37.64 -0.04
17 0.1639 -2714.64 0.02 -37.72 -0.06
18 0.1640 -2717.81 -0.04 -37.79 -0.06
19 0.2542 -5097.89 0.11 -81.28 0.04
20 0.3414 -6915.02 -0.06 -138.49 0.07
21 0.3415 -6916.61 0.09 -138.59 0.07
22 0.4045 -7551.35 0.02 -186.09 0.03
23 1.0458 4786.18 -0.16 -480.59 0.11
24 1.0515 4719.11 -0.13 -482.05 0.04
25 1.1304 3293.27 0.03 -504.60 0.14
26 1.1305 3290.76 0.04 -504.66 0.14
27 1.1522 2768.72 0.39 -512.66 0.07
28 1.3765 -2229.50 -0.15 -639.06 0.07
29 1.3765 -2229.50 -0.04 -639.00 0.14
30 1.9632 10140.97 -0.06 -934.31 0.01
31 2.2056 6582.10 0.05 -1017.38 0.00
32 2.2058 6576.88 -0.02 -1017.51 -0.01
33 2.2084 6506.07 -0.10 -1018.74 0.02
34 2.2085 6503.80 0.21 -1018.90 -0.08
35 4.2899 14900.02 -0.04 -2030.63 -0.00
36 4.3031 14594.98 0.02 -2037.40 -0.10
37 4.3033 14590.87 -0.01 -2037.48 -0.05
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.
13GY137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.613 44.622 44.604 ecceobj 0.097 0.097 0.097 incobj 5.324 5.324 5.324 qmin 39.882 39.866 39.887 qmax 50.280 50.312 50.289 amean 44.949 44.958 44.940 amin 44.588 44.595 44.578 amax 45.343 45.347 45.327 emean 0.096 0.096 0.096 emin 0.081 0.082 0.081 emax 0.110 0.109 0.110 imean 4.439 4.440 4.439 imin 3.876 3.878 3.875 imax 4.975 4.975 4.979 excite_mean 0.123 0.123 0.123 fracstop 1.000 1.000 1.000 cjmean 3.094 3.095 3.094 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 181.0 181.2 180.7 kozaiamp 179.9 180.0 180.0