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: 13JQ64 # Created Sun Dec 22 02:09:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 8.16y # First observation: 2013/04/10 # Last observation: 2021/06/09 # Chi-squared of fit: 5.97 DOF: 50 RMS: 0.08 # Min/Max residuals: -0.21 0.23 # Exact a, adot, b, bdot, g, gdot: 8.869702E-06 9.312068E-03 -5.679367E-06 -6.449126E-03 1.767845E-02 7.138821E-03 # Covariance matrix: 1.7978E-13 -7.3370E-14 -3.5270E-14 4.4949E-14 8.4100E-14 -9.4754E-13 -7.3370E-14 9.4655E-14 5.1537E-14 -6.7841E-14 3.8513E-14 1.4467E-12 -3.5270E-14 5.1537E-14 1.2332E-13 -6.4619E-14 1.8882E-14 9.1264E-13 4.4949E-14 -6.7841E-14 -6.4619E-14 6.9108E-14 -2.7689E-14 -1.2004E-12 8.4100E-14 3.8513E-14 1.8882E-14 -2.7689E-14 2.2575E-13 6.1157E-13 -9.4754E-13 1.4467E-12 9.1264E-13 -1.2004E-12 6.1157E-13 2.5592E-11 # lat0 lon0 xBary yBary zBary JD0 6.567012 -117.134645 0.672200 0.085238 -0.740284 2456393.098038 # Heliocentric elements and errors Epoch: 2456392.5000 = 2013/04/10 Mean Anomaly: 78.24422 +/- 0.061 Argument of Peri: 31.54904 +/- 0.024 Long of Asc Node: 71.53115 +/- 0.000 Inclination: 34.98586 +/- 0.001 Eccentricity: 0.54688546 +/- 0.0002 Semi-Major Axis: 49.00788977 +/- 0.0152 Time of Perihelion: 2429156.2581 +/- 24.7 Perihelion: 22.20618720 +/- 0.0106 Aphelion: 75.80959235 +/- 0.0248 Period (y) 343.0893 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.56652405 +/- 0.0007 Ecliptic Y -50.36422656 +/- 0.0013 Ecliptic Z 6.46890562 +/- 0.0002 Ecliptic XDOT 0.00072410 +/- 0.0000 Ecliptic YDOT -0.00173650 +/- 0.0000 Ecliptic ZDOT -0.00086564 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 57.30742917 +/- 0.0012 Geocenter to KBO 56.56569754 +/- 0.0015 # Hcoef: 6.21
The following table shows the complete astrometric record for 13JQ64. 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 (13JQ64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 10.59726 16 08 29.954 -14 17 06.15 23.6r 13JQ64 568 C~1XRd 2013 04 19.46815 16 08 03.957 -14 15 46.57 24.0r 13JQ64 568 C~1XRd 2013 04 19.52102 16 08 03.791 -14 15 45.97 24.0r 13JQ64 568 C~1XRd 2013 05 08.45533 16 06 58.227 -14 12 55.72 23.7r 13JQ64 568 C~1XRd 2013 05 08.49936 16 06 58.055 -14 12 55.36 23.8r 13JQ64 568 C~1XRd 2013 05 08.54316 16 06 57.893 -14 12 54.95 23.7r 13JQ64 568 C~1XRd 2013 05 10.55580 16 06 50.350 -14 12 37.70 23.5r 13JQ64 568 C~1XRd 2014 05 01.44147 16 09 17.021 -14 41 40.23 24.0r 13JQ64 568 C~1XRd 2014 05 01.49260 16 09 16.849 -14 41 39.67 24.2r 13JQ64 568 C~1XRd 2014 05 01.55310 16 09 16.620 -14 41 39.27 23.8r 13JQ64 568 C~1XRd 2014 05 04.43890 16 09 06.340 -14 41 14.36 23.9r 13JQ64 568 C~1XRd 2014 05 04.48938 16 09 06.154 -14 41 13.91 13JQ64 568 C~1XRd 2014 05 04.54185 16 09 05.961 -14 41 13.43 24.0r 13JQ64 568 C~1XRd 2014 05 22.51802 16 07 58.236 -14 38 48.66 23.7r 13JQ64 568 C~1XRd 2014 05 25.47676 16 07 46.784 -14 38 27.42 23.6r 13JQ64 568 C~1XRd 2014 06 21.43608 16 06 06.554 -14 36 08.91 23.6r 13JQ64 568 C~1XRd 2014 06 22.40874 16 06 03.234 -14 36 05.98 23.5r 13JQ64 568 C~1XRd 2014 06 30.43105 16 05 37.189 -14 35 50.16 23.8r 13JQ64 568 C~1XRd 2014 07 01.39887 16 05 34.212 -14 35 49.08 24.0r 13JQ64 568 C~1XRe 2014 07 18.38112 16 04 49.249 -14 36 02.80 23.7r 13JQ64 568 C~1XRe 2014 07 26.29286 16 04 33.596 -14 36 30.79 23.8r 13JQ64 568 C~1XRe 2015 03 22.57427 16 12 53.467 -15 14 03.76 23.8r 13JQ64 568 C~1XRe 2016 06 03.43279 16 10 54.027 -15 31 44.88 24.0w 13JQ64 568 C~2LSW 2017 01 31.66055 16 16 16.838 -16 07 39.36 22.8w 13JQ64 568 C~2LSW 2017 01 31.66166 16 16 16.844 -16 07 39.56 24.4w 13JQ64 568 C~2LSW 2017 03 30.60077 16 16 17.307 -16 05 57.78 24.2w 13JQ64 568 C~2LSW 2021 06 09.070476 16 19 38.98 -17 40 03.5 13JQ64 W84 C~83BV 2021 06 09.192004 16 19 38.52 -17 40 02.9 13JQ64 W84 C~83BV
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 -0.12 0.00 0.00 2 0.0243 0.00 -0.03 0.00 -0.04 3 0.0244 0.00 0.02 0.00 0.08 4 0.0763 0.00 -0.00 0.00 -0.11 5 0.0764 0.00 -0.08 0.00 -0.13 6 0.0765 0.00 -0.02 0.00 -0.10 7 0.0820 0.00 -0.02 0.00 -0.17 8 1.0564 0.00 0.06 0.00 0.04 9 1.0565 0.00 0.23 0.00 0.16 10 1.0567 0.00 0.05 0.00 0.03 11 1.0646 0.00 0.03 0.00 0.04 12 1.0647 0.00 0.02 0.00 0.06 13 1.0649 0.00 0.01 0.00 0.08 14 1.1141 0.00 -0.01 0.00 0.10 15 1.1222 0.00 -0.07 0.00 0.10 16 1.1960 0.00 0.05 0.00 -0.09 17 1.1987 0.00 -0.06 0.00 0.07 18 1.2206 0.00 0.10 0.00 0.00 19 1.2233 0.00 0.00 0.00 0.03 20 1.2698 0.00 0.05 0.00 0.05 21 1.2914 0.00 0.00 0.00 -0.03 22 1.9465 0.00 -0.18 0.00 0.02 23 3.1481 0.00 -0.05 0.00 -0.01 24 3.8113 0.00 0.07 0.00 -0.01 25 3.8113 0.00 0.12 0.00 -0.21 26 3.9699 0.00 -0.02 0.00 0.03 27 8.1628 0.00 -0.01 0.00 -0.00 28 8.1632 0.00 -0.08 0.00 0.01
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.
13JQ64 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 48.799 48.800 48.799 ecceobj 0.546 0.546 0.546 incobj 34.996 34.996 34.996 qmin 22.158 22.158 22.158 qmax 77.392 77.389 77.396 amean 49.059 49.090 49.061 amin 47.086 48.252 48.016 amax 50.038 49.940 49.871 emean 0.507 0.517 0.520 emin 0.441 0.468 0.476 emax 0.552 0.552 0.552 imean 35.629 35.100 34.997 imin 33.503 33.503 33.504 imax 38.493 37.455 36.898 excite_mean 0.773 0.774 0.774 fracstop 0.094 0.084 0.082 cjmean 2.404 2.403 2.402 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 42.0 43.8 44.1 kozaiamp 8.0 10.4 11.9