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: 13GE137 # Created Fri Nov 22 02:09:24 2024 # Orbit generated from Bernstein formalism # Fitting 31 observations of 31 # Arc: 4.14y # First observation: 2013/04/04 # Last observation: 2017/05/27 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.039550 -0.000007 -0.002670 0.032476 0.000000 # Chi-squared of fit: 11.04 DOF: 56 RMS: 0.11 # Min/Max residuals: -0.28 0.28 # Exact a, adot, b, bdot, g, gdot: 1.971244E-05 4.039582E-02 -1.564642E-06 -2.730711E-03 3.312963E-02 6.718441E-03 # Covariance matrix: 1.2307E-13 -1.4692E-13 -3.4891E-15 9.5837E-15 1.9659E-14 -8.8245E-13 -1.4692E-13 3.7924E-13 9.9302E-15 -2.7525E-14 3.8778E-14 2.5322E-12 -3.4891E-15 9.9302E-15 7.6821E-14 -3.2788E-14 4.7259E-16 7.4026E-14 9.5837E-15 -2.7525E-14 -3.2788E-14 3.8711E-14 -1.6683E-15 -2.0482E-13 1.9659E-14 3.8778E-14 4.7259E-16 -1.6683E-15 1.3778E-13 1.5021E-13 -8.8245E-13 2.5322E-12 7.4026E-14 -2.0482E-13 1.5021E-13 1.8846E-11 # lat0 lon0 xBary yBary zBary JD0 -0.153170 -145.800329 0.333661 -0.002491 -0.944383 2456386.918628 # Heliocentric elements and errors Epoch: 2456380.5000 = 2013/03/29 Mean Anomaly: 27.34289 +/- 0.008 Argument of Peri: 136.32606 +/- 0.015 Long of Asc Node: 31.38528 +/- 0.000 Inclination: 3.86757 +/- 0.000 Eccentricity: 0.25721806 +/- 0.0001 Semi-Major Axis: 39.30334978 +/- 0.0043 Time of Perihelion: 2449544.7731 +/- 1.7 Perihelion: 29.19381837 +/- 0.0057 Aphelion: 49.41288120 +/- 0.0071 Period (y) 246.4067 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -25.93258147 +/- 0.0003 Ecliptic Y -17.21878849 +/- 0.0002 Ecliptic Z -0.08071840 +/- 0.0000 Ecliptic XDOT 0.00141140 +/- 0.0000 Ecliptic YDOT -0.00307241 +/- 0.0000 Ecliptic ZDOT -0.00022701 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.12863592 +/- 0.0003 Geocenter to KBO 30.18446075 +/- 0.0003 # Hcoef: 8.83
The following table shows the complete astrometric record for 13GE137. 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 (13GE137) followed by the observatory code and reference code for the source of the astrometry.
2013 04 04.41785 14 07 33.835 -13 03 49.27 23.7r 13GE137 568 C~1XRX 2013 04 04.45816 14 07 33.608 -13 03 48.23 23.6r 13GE137 568 C~1XRX 2013 04 04.49859 14 07 33.370 -13 03 47.08 23.9r 13GE137 568 C~1XRX 2013 04 05.54022 14 07 27.446 -13 03 17.78 24.1r 13GE137 568 C~1XRX 2013 04 05.54410 14 07 27.425 -13 03 17.51 23.3r 13GE137 568 C~1XRX 2013 04 05.54905 14 07 27.389 -13 03 17.54 23.6r 13GE137 568 C~1XRX 2013 04 06.59098 14 07 21.428 -13 02 47.95 23.4r 13GE137 568 C~1XRX 2013 04 08.39181 14 07 11.015 -13 01 56.52 24.4r 13GE137 568 C~1XRX 2013 05 11.42210 14 03 53.199 -12 45 26.62 23.5r 13GE137 568 C~1XRX 2013 05 12.42371 14 03 47.484 -12 44 57.85 23.6r 13GE137 568 C~1XRX 2013 06 13.26162 14 01 18.668 -12 32 29.83 13GE137 568 C~1XRX 2013 06 13.30208 14 01 18.505 -12 32 29.16 23.7r 13GE137 568 C~1XRX 2013 07 04.28289 14 00 31.130 -12 28 42.15 23.6r 13GE137 568 C~1XRX 2013 07 06.29052 14 00 29.172 -12 28 34.16 23.9r 13GE137 568 C~1XRX 2014 02 01.63775 14 19 10.864 -14 11 12.43 23.6r 13GE137 568 C~1XRX 2014 02 02.63560 14 19 11.539 -14 11 18.01 23.8r 13GE137 568 C~1XRX 2014 02 03.58019 14 19 12.074 -14 11 22.78 23.5r 13GE137 568 C~1XRX 2014 02 24.59733 14 18 54.499 -14 10 39.51 24.4r 13GE137 568 C~1XRX 2014 02 25.58039 14 18 52.347 -14 10 30.83 24.1r 13GE137 568 C~1XRX 2014 02 28.52833 14 18 45.238 -14 10 01.25 23.9r 13GE137 568 C~1XRX 2014 04 04.43113 14 16 17.022 -13 58 42.04 23.6r 13GE137 568 C~1XRX 2014 04 04.47037 14 16 16.801 -13 58 41.04 23.6r 13GE137 568 C~1XRX 2014 04 05.54517 14 16 10.800 -13 58 12.43 23.5r 13GE137 568 C~1XRX 2014 04 05.55400 14 16 10.739 -13 58 12.35 23.8r 13GE137 568 C~1XRX 2014 05 22.38550 14 11 35.483 -13 35 56.39 24.1r 13GE137 568 C~1XRX 2014 05 28.36219 14 11 04.822 -13 33 25.52 23.8r 13GE137 568 C~1XRX 2014 06 26.32099 14 09 17.604 -13 24 40.66 24.3r 13GE137 568 C~1XRX 2014 07 18.28768 14 08 55.110 -13 23 03.47 23.5r 13GE137 568 C~1XRX 2017 05 26.22994 14 37 03.10 -16 09 45.1 23.4R 13GE137 G37 C~2Gia 2017 05 26.29754 14 37 02.70 -16 09 43.3 13GE137 G37 C~2Gia 2017 05 27.33451 14 36 57.086 -16 09 18.38 23.2r 13GE137 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 -0.09 0.00 0.05
2 0.0001 -3.47 0.02 -0.14 0.01
3 0.0002 -7.13 -0.05 -0.23 0.00
4 0.0031 -98.51 -0.01 -1.90 0.08
5 0.0031 -98.89 -0.05 -1.74 0.24
6 0.0031 -99.37 -0.09 -1.95 0.05
7 0.0059 -191.35 0.10 -3.53 0.20
8 0.0109 -351.95 0.03 -6.56 0.02
9 0.1013 -3408.94 -0.00 -57.77 -0.01
10 0.1041 -3497.37 0.09 -59.25 -0.03
11 0.1912 -5801.13 0.28 -102.03 0.04
12 0.1913 -5803.60 -0.02 -102.22 -0.07
13 0.2488 -6533.76 -0.06 -127.56 -0.11
14 0.2543 -6563.47 -0.14 -129.93 -0.14
15 0.8302 10937.27 -0.03 -438.59 -0.02
16 0.8329 10948.40 -0.12 -440.66 -0.06
17 0.8355 10957.34 -0.04 -442.64 -0.13
18 0.8930 10700.93 0.16 -485.26 -0.01
19 0.8957 10668.43 0.09 -487.28 -0.06
20 0.9038 10560.77 0.08 -493.12 -0.03
21 0.9994 8296.03 -0.01 -559.05 -0.03
22 0.9995 8292.66 0.01 -559.17 -0.05
23 1.0024 8200.62 -0.02 -560.93 0.11
24 1.0024 8199.75 -0.11 -561.14 -0.09
25 1.1306 3969.88 -0.05 -630.75 -0.07
26 1.1470 3497.95 0.09 -637.93 -0.08
27 1.2263 1848.27 0.00 -667.74 0.04
28 1.2864 1506.45 -0.07 -686.59 0.04
29 4.1419 28075.21 0.09 -2279.39 0.17
30 4.1420 28069.06 -0.28 -2279.45 0.19
31 4.1449 27982.87 0.19 -2280.51 -0.24
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.
13GE137 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.134 39.148 39.120 ecceobj 0.253 0.254 0.253 incobj 3.873 3.873 3.873 qmin 28.514 28.469 28.507 qmax 51.014 50.997 50.983 amean 39.455 39.455 39.455 amin 39.011 39.008 38.983 amax 39.983 39.992 40.017 emean 0.260 0.260 0.260 emin 0.244 0.246 0.245 emax 0.277 0.277 0.276 imean 3.345 3.381 3.314 imin 2.484 2.565 2.597 imax 4.044 4.146 4.027 excite_mean 0.267 0.267 0.267 fracstop 1.000 1.000 1.000 cjmean 2.969 2.969 2.970 libcent 0 180.2 179.8 180.1 libamp 0 80.6 77.8 83.1 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 222.7 220.7 224.8 kozaiamp 180.0 179.9 179.9