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: 13JC64 # Created Fri Nov 22 02:09:26 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 1.14y # First observation: 2013/04/10 # Last observation: 2014/06/02 Preliminary a, adot, b, bdot, g, gdot: -0.001327 0.129317 -0.000017 -0.079043 0.074933 0.000000 # Chi-squared of fit: 5.11 DOF: 24 RMS: 0.10 # Min/Max residuals: -0.25 0.27 # Exact a, adot, b, bdot, g, gdot: 2.549446E-05 1.303585E-01 -1.677564E-05 -7.981962E-02 7.688371E-02 1.537786E-03 # Covariance matrix: 3.3079E-13 9.7277E-13 6.4001E-14 -9.0098E-13 6.2973E-13 1.0456E-11 9.7277E-13 3.0355E-11 1.7011E-12 -2.2129E-11 9.3377E-12 2.5407E-10 6.4001E-14 1.7011E-12 2.4906E-13 -1.4720E-12 5.2967E-13 1.4585E-11 -9.0098E-13 -2.2129E-11 -1.4720E-12 1.7283E-11 -7.0239E-12 -1.8993E-10 6.2973E-13 9.3377E-12 5.2967E-13 -7.0239E-12 3.4507E-12 8.0861E-11 1.0456E-11 2.5407E-10 1.4585E-11 -1.8993E-10 8.0861E-11 2.1810E-09 # lat0 lon0 xBary yBary zBary JD0 8.518197 -118.769601 0.650721 0.113183 -0.755573 2456393.093828 # Heliocentric elements and errors Epoch: 2456390.5000 = 2013/04/08 Mean Anomaly: 357.74926 +/- 0.027 Argument of Peri: 170.04154 +/- 0.064 Long of Asc Node: 71.53022 +/- 0.000 Inclination: 32.05264 +/- 0.000 Eccentricity: 0.37778801 +/- 0.0000 Semi-Major Axis: 22.11353442 +/- 0.0019 Time of Perihelion: 2456627.9694 +/- 2.8 Perihelion: 13.75930615 +/- 0.0015 Aphelion: 30.46776269 +/- 0.0028 Period (y) 103.9909 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -7.12806538 +/- 0.0002 Ecliptic Y -11.62953566 +/- 0.0003 Ecliptic Z 1.92641512 +/- 0.0000 Ecliptic XDOT 0.00383409 +/- 0.0000 Ecliptic YDOT -0.00265038 +/- 0.0000 Ecliptic ZDOT -0.00280279 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 13.77557589 +/- 0.0002 Geocenter to KBO 13.00665597 +/- 0.0003 # Hcoef: 12.10
The following table shows the complete astrometric record for 13JC64. 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 (13JC64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 10.59305 16 03 29.929 -12 03 34.64 23.6r 13JC64 568 C~1WkX 2013 04 19.46408 16 02 01.991 -12 02 25.77 23.4r 13JC64 568 C~1WkX 2013 04 19.51699 16 02 01.402 -12 02 25.32 23.4r 13JC64 568 C~1WkX 2013 05 08.43031 15 58 09.672 -12 00 29.86 23.4r 13JC64 568 C~1WkX 2013 05 08.47938 15 58 09.016 -12 00 29.69 23.4r 13JC64 568 C~1WkX 2013 05 08.52324 15 58 08.412 -12 00 29.58 23.4r 13JC64 568 C~1WkX 2013 05 09.53023 15 57 54.884 -12 00 26.29 23.4r 13JC64 568 C~1WkX 2013 05 10.53581 15 57 41.270 -12 00 23.86 23.2r 13JC64 568 C~1WkX 2013 06 04.38901 15 51 58.742 -12 02 20.91 23.6r 13JC64 568 C~1WkX 2013 06 06.39243 15 51 32.054 -12 02 49.37 23.3r 13JC64 568 C~1WkX 2013 07 02.32839 15 46 35.267 -12 14 30.22 23.7r 13JC64 568 C~1WkX 2013 07 03.36611 15 46 25.900 -12 15 11.98 23.9r 13JC64 568 C~1WkX 2014 03 06.63658 16 31 57.960 -17 40 23.01 23.3r 13JC64 568 C~1WkX 2014 03 07.61121 16 32 00.438 -17 40 52.85 23.4r 13JC64 568 C~1WkX 2014 06 02.46113 16 19 42.047 -18 03 59.08 23.3r 13JC64 568 C~1WkX
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 0.27 0.00 0.07 2 0.0243 -1278.42 -0.13 -185.86 0.01 3 0.0244 -1286.98 -0.18 -187.12 0.04 4 0.0762 -4642.54 -0.07 -749.97 -0.02 5 0.0763 -4652.01 0.14 -751.73 0.03 6 0.0765 -4660.72 0.08 -753.40 -0.03 7 0.0792 -4855.93 0.12 -790.02 0.11 8 0.0820 -5052.21 -0.16 -827.78 -0.25 9 0.1500 -9955.42 -0.06 -1966.46 -0.11 10 0.1555 -10333.60 -0.06 -2075.29 0.00 11 0.2265 -14459.72 -0.02 -3674.00 0.08 12 0.2294 -14585.81 0.07 -3744.08 0.07 13 0.9036 28227.15 -0.05 -15515.05 0.01 14 0.9063 28267.97 0.02 -15539.22 0.03 15 1.1441 17969.30 0.03 -18702.05 -0.04
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.
13JC64 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 22.107 22.174 22.041 ecceobj 0.378 0.379 0.376 incobj 32.007 32.006 32.008 qmin 13.727 13.667 13.531 qmax 31.091 31.167 30.651 amean 22.268 22.250 22.003 amin 22.107 22.157 21.746 amax 22.526 22.417 22.265 emean 0.375 0.383 0.374 emin 0.368 0.379 0.365 emax 0.387 0.390 0.381 imean 30.809 30.707 30.746 imin 30.705 30.681 30.656 imax 30.942 30.744 30.845 excite_mean 0.635 0.638 0.633 fracstop 0.001 0.000 0.002 cjmean 2.715 2.713 2.725 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 173.6 171.2 180.7 kozaiamp 3.3 1.3 10.2