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: 13GJ137
# Created Fri Apr 26 01:14:31 2024
# Orbit generated from Bernstein formalism
# Fitting 36 observations of 36
# Arc: 3.18y
# First observation: 2013/03/07
# Last observation: 2016/05/10
Preliminary a, adot, b, bdot, g, gdot:
-0.000580 0.037019 0.000149 -0.011205 0.031601 0.000000
# Chi-squared of fit: 10.64 DOF: 66 RMS: 0.10
# Min/Max residuals: -0.35 0.26
# Exact a, adot, b, bdot, g, gdot:
1.730694E-05 3.615293E-02 -4.866845E-06 -1.085862E-02 3.173994E-02 -6.613960E-03
# Covariance matrix:
1.6046E-13 -1.2325E-13 -1.1722E-14 2.8594E-14 6.2064E-14 -9.1458E-13
-1.2325E-13 2.8127E-13 3.3803E-14 -8.5443E-14 6.1755E-14 2.7519E-12
-1.1722E-14 3.3803E-14 9.7553E-14 -7.5265E-14 7.2409E-15 4.4835E-13
2.8594E-14 -8.5443E-14 -7.5265E-14 1.0734E-13 -1.9962E-14 -1.1312E-12
6.2064E-14 6.1755E-14 7.2409E-15 -1.9962E-14 1.4715E-13 6.5316E-13
-9.1458E-13 2.7519E-12 4.4835E-13 -1.1312E-12 6.5316E-13 3.6421E-11
# lat0 lon0 xBary yBary zBary JD0
2.120068 -143.022695 0.759298 0.023702 -0.639214 2456359.042338
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 324.89644 +/- 0.011
Argument of Peri: 230.99725 +/- 0.026
Long of Asc Node: 42.47986 +/- 0.000
Inclination: 16.89510 +/- 0.000
Eccentricity: 0.26455257 +/- 0.0001
Semi-Major Axis: 39.39637538 +/- 0.0034
Time of Perihelion: 2465157.5720 +/- 2.6
Perihelion: 28.97396286 +/- 0.0062
Aphelion: 49.81878790 +/- 0.0071
Period (y) 247.2821 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -26.11864651 +/- 0.0003
Ecliptic Y -18.71395783 +/- 0.0002
Ecliptic Z 1.16538473 +/- 0.0000
Ecliptic XDOT 0.00229730 +/- 0.0000
Ecliptic YDOT -0.00216853 +/- 0.0000
Ecliptic ZDOT -0.00095698 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.15204558 +/- 0.0003
Geocenter to KBO 31.50604911 +/- 0.0004
# Hcoef: 8.52
The following table shows the complete astrometric record for 13GJ137. 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 (13GJ137) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.54156 14 21 22.947 -11 50 19.40 23.0r 13GJ137 568 C~1XRX 2013 04 04.54263 14 19 15.132 -11 41 21.93 23.4r 13GJ137 568 C~1XRX 2013 04 07.40318 14 18 59.128 -11 40 14.49 23.2r 13GJ137 568 C~1XRX 2013 04 07.44689 14 18 58.874 -11 40 13.56 23.7r 13GJ137 568 C~1XRX 2013 04 08.43552 14 18 53.246 -11 39 50.08 23.2r 13GJ137 568 C~1XRX 2013 04 08.48075 14 18 52.986 -11 39 48.90 23.2r 13GJ137 568 C~1XRX 2013 04 09.38210 14 18 47.827 -11 39 27.43 23.1r 13GJ137 568 C~1XRX 2013 04 09.42533 14 18 47.579 -11 39 26.38 23.7r 13GJ137 568 C~1XRX 2013 04 09.46848 14 18 47.322 -11 39 25.32 23.4r 13GJ137 568 C~1XRX 2013 05 12.47149 14 15 29.533 -11 26 06.87 23.8r 13GJ137 568 C~1XRX 2013 06 12.35550 14 12 55.911 -11 17 19.00 13GJ137 568 C~1XRX 2013 06 12.39986 14 12 55.719 -11 17 18.48 23.6r 13GJ137 568 C~1XRX 2013 07 04.31530 14 11 55.253 -11 15 38.35 23.9r 13GJ137 568 C~1XRX 2013 07 06.32311 14 11 52.249 -11 15 43.17 23.0r 13GJ137 568 C~1XRX 2014 02 02.65078 14 29 20.924 -13 07 33.70 24.0r 13GJ137 568 C~1XRX 2014 02 02.65647 14 29 20.929 -13 07 33.44 23.9r 13GJ137 568 C~1XRX 2014 02 03.59530 14 29 21.597 -13 07 39.86 23.7r 13GJ137 568 C~1XRX 2014 02 24.60122 14 29 07.491 -13 07 44.01 23.6r 13GJ137 568 C~1XRX 2014 02 25.58427 14 29 05.523 -13 07 38.12 23.8r 13GJ137 568 C~1XRX 2014 02 28.53222 14 28 58.924 -13 07 16.97 23.7r 13GJ137 568 C~1XRX 2014 03 28.44948 14 27 12.149 -13 00 36.09 22.9r 13GJ137 568 C~2KOF 2014 03 28.48858 14 27 11.941 -13 00 35.33 23.5r 13GJ137 568 C~1XRX 2014 04 05.42266 14 26 29.897 -12 57 49.57 23.0r 13GJ137 568 C~1XRX 2014 04 23.21994 14 24 45.06 -12 50 55.6 13GJ137 W84 C~1j9S 2014 04 24.24178 14 24 38.78 -12 50 31.0 24.7V 13GJ137 W84 C~1j9S 2014 04 25.24174 14 24 32.64 -12 50 07.1 13GJ137 W84 C~1j9S 2014 04 30.10956 14 24 02.60 -12 48 09.8 23.7V 13GJ137 W84 C~2fc7 2014 04 30.17846 14 24 02.16 -12 48 08.2 13GJ137 W84 C~2fc7 2014 05 01.09622 14 23 56.52 -12 47 46.3 13GJ137 W84 C~2fc7 2014 05 01.16603 14 23 56.07 -12 47 44.5 13GJ137 W84 C~2fc7 2014 05 22.44204 14 21 49.659 -12 39 48.53 23.8r 13GJ137 568 C~1XRX 2014 05 25.40542 14 21 33.436 -12 38 50.38 23.4r 13GJ137 568 C~1XRX 2014 05 25.43431 14 21 33.273 -12 38 49.95 23.5r 13GJ137 568 C~1XRX 2014 07 18.29220 14 18 46.874 -12 32 36.69 23.8r 13GJ137 568 C~1XRX 2016 05 10.32654 14 38 05.586 -15 19 27.77 23.3r 13GJ137 568 C~2KOF 2016 05 10.40239 14 38 05.108 -15 19 26.16 23.5r 13GJ137 568 C~2KOF
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 0.15 0.00 -0.11
2 0.0767 -1949.73 0.12 -102.91 -0.03
3 0.0845 -2193.98 0.02 -115.95 0.19
4 0.0846 -2197.81 0.03 -116.29 0.08
5 0.0873 -2283.63 0.01 -121.11 -0.00
6 0.0874 -2287.63 0.02 -121.24 0.11
7 0.0899 -2366.28 0.03 -125.72 -0.04
8 0.0900 -2370.07 0.09 -125.92 0.00
9 0.0901 -2373.98 0.03 -126.15 0.01
10 0.1805 -5382.93 0.06 -326.09 0.03
11 0.2651 -7691.94 -0.09 -575.04 0.08
12 0.2652 -7694.78 -0.35 -575.49 0.04
13 0.3252 -8568.41 -0.02 -776.64 -0.05
14 0.3307 -8608.56 0.01 -795.90 -0.30
15 0.9093 8122.07 -0.04 -2141.61 -0.23
16 0.9093 8122.06 -0.12 -2141.34 0.06
17 0.9119 8133.37 -0.06 -2144.34 -0.03
18 0.9694 7939.01 -0.15 -2213.75 0.05
19 0.9721 7909.84 -0.02 -2217.30 -0.01
20 0.9801 7811.57 -0.04 -2227.87 0.06
21 1.0566 6203.06 0.04 -2344.90 0.02
22 1.0567 6199.94 -0.05 -2345.15 -0.02
23 1.0784 5564.12 -0.13 -2384.56 0.08
24 1.1271 3978.56 0.07 -2484.23 0.09
25 1.1299 3883.65 0.03 -2490.48 0.07
26 1.1326 3790.90 0.26 -2496.75 -0.06
27 1.1460 3337.00 -0.02 -2527.19 -0.00
28 1.1462 3330.39 -0.12 -2527.75 -0.08
29 1.1487 3245.21 0.13 -2533.61 -0.09
30 1.1489 3238.39 -0.08 -2534.02 -0.02
31 1.2071 1333.90 0.01 -2681.61 0.05
32 1.2152 1090.42 0.04 -2703.62 0.07
33 1.2153 1088.02 0.02 -2703.99 -0.07
34 1.3628 -1336.90 0.08 -3144.67 0.06
35 3.1753 17891.76 -0.03 -7290.30 0.03
36 3.1755 17884.63 0.07 -7290.89 -0.02
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.
13GJ137 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.270 39.277 39.262 ecceobj 0.264 0.265 0.264 incobj 16.915 16.915 16.915 qmin 27.720 27.777 27.684 qmax 51.716 51.638 51.726 amean 39.454 39.454 39.454 amin 39.026 39.020 39.035 amax 39.977 39.975 39.949 emean 0.252 0.252 0.252 emin 0.197 0.197 0.197 emax 0.296 0.294 0.297 imean 17.169 17.184 17.157 imin 15.153 15.193 15.119 imax 19.067 19.078 19.061 excite_mean 0.389 0.389 0.389 fracstop 1.000 1.000 1.000 cjmean 2.879 2.879 2.879 libcent 0 180.4 180.7 180.3 libamp 0 73.8 77.8 70.7 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 272.6 272.6 272.6 kozaiamp 41.5 41.8 41.3