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: 13JP64 # Created Wed Dec 25 02:09:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 6.15y # First observation: 2013/04/10 # Last observation: 2019/06/06 # Chi-squared of fit: 6.39 DOF: 48 RMS: 0.09 # Min/Max residuals: -0.18 0.29 # Exact a, adot, b, bdot, g, gdot: 1.895654E-05 3.384508E-02 3.739550E-06 6.755389E-03 2.862466E-02 -7.665414E-03 # Covariance matrix: 2.2144E-13 -1.6069E-13 1.5990E-14 -3.3332E-14 1.2804E-13 -7.2043E-13 -1.6069E-13 2.6945E-13 -3.0377E-14 5.7446E-14 3.3574E-15 1.2539E-12 1.5990E-14 -3.0377E-14 8.3832E-14 -3.0694E-14 -1.8695E-15 -1.5280E-13 -3.3332E-14 5.7446E-14 -3.0694E-14 3.4018E-14 -2.5629E-15 2.9036E-13 1.2804E-13 3.3574E-15 -1.8695E-15 -2.5629E-15 2.5613E-13 -4.1880E-14 -7.2043E-13 1.2539E-12 -1.5280E-13 2.9036E-13 -4.1880E-14 6.3346E-12 # lat0 lon0 xBary yBary zBary JD0 7.764371 -119.161228 0.645696 0.103807 -0.761207 2456393.077738 # Heliocentric elements and errors Epoch: 2456392.5000 = 2013/04/10 Mean Anomaly: 342.33250 +/- 0.005 Argument of Peri: 80.19193 +/- 0.013 Long of Asc Node: 206.66393 +/- 0.001 Inclination: 13.71499 +/- 0.000 Eccentricity: 0.43292381 +/- 0.0001 Semi-Major Axis: 57.07444942 +/- 0.0075 Time of Perihelion: 2464121.6831 +/- 29.6 Perihelion: 32.36556147 +/- 0.0057 Aphelion: 81.78333737 +/- 0.0114 Period (y) 431.1921 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -17.80357905 +/- 0.0003 Ecliptic Y -30.58131352 +/- 0.0005 Ecliptic Z 4.71985591 +/- 0.0001 Ecliptic XDOT 0.00321707 +/- 0.0000 Ecliptic YDOT -0.00086643 +/- 0.0000 Ecliptic ZDOT 0.00054130 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.69975559 +/- 0.0005 Geocenter to KBO 34.93508427 +/- 0.0006 # Hcoef: 8.44
The following table shows the complete astrometric record for 13JP64. 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 (13JP64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 10.57696 16 01 20.004 -12 43 19.84 23.8r 13JP64 568 C~1XRd 2013 04 19.50094 16 00 44.313 -12 39 44.44 23.7r 13JP64 568 C~1XRd 2013 05 08.43031 15 59 13.073 -12 32 13.66 24.0r 13JP64 568 C~1XRd 2013 05 08.47938 15 59 12.820 -12 32 12.51 23.9r 13JP64 568 C~1XRd 2013 05 08.52324 15 59 12.572 -12 32 11.53 23.7r 13JP64 568 C~1XRd 2013 05 09.53023 15 59 07.309 -12 31 48.50 23.9r 13JP64 568 C~1XRd 2013 05 10.53581 15 59 02.029 -12 31 25.42 23.9r 13JP64 568 C~1XRd 2013 06 04.40115 15 56 48.442 -12 23 06.99 23.8r 13JP64 568 C~1XRd 2013 06 06.40466 15 56 37.964 -12 22 33.57 23.9r 13JP64 568 C~1XRd 2013 07 02.35699 15 54 38.243 -12 17 30.25 24.0r 13JP64 568 C~1XRd 2013 07 03.39388 15 54 34.310 -12 17 23.48 23.9r 13JP64 568 C~1XRd 2014 03 06.59624 16 10 33.232 -12 55 41.96 24.2r 13JP64 568 C~1XRd 2014 03 07.57089 16 10 33.286 -12 55 24.78 24.1r 13JP64 568 C~1XRd 2014 05 01.40994 16 08 01.650 -12 35 03.02 24.2r 13JP64 568 C~1XRd 2014 05 01.46131 16 08 01.386 -12 35 01.65 23.8r 13JP64 568 C~1XRd 2014 05 01.52001 16 08 01.093 -12 35 00.48 23.9r 13JP64 568 C~1XRd 2014 05 04.40764 16 07 46.732 -12 33 53.21 23.7r 13JP64 568 C~1XRd 2014 05 04.45830 16 07 46.477 -12 33 52.02 23.9r 13JP64 568 C~1XRd 2014 05 04.50896 16 07 46.209 -12 33 50.98 23.8r 13JP64 568 C~1XRd 2014 05 22.52968 16 06 10.559 -12 27 20.59 23.6r 13JP64 568 C~1XRd 2014 05 22.54954 16 06 10.448 -12 27 19.97 24.0r 13JP64 568 C~1XRd 2014 05 25.48891 16 05 54.371 -12 26 22.54 23.6r 13JP64 568 C~1XRd 2014 07 01.39102 16 02 49.986 -12 18 04.37 23.8r 13JP64 568 C~1XRd 2014 07 18.36507 16 01 51.879 -12 17 06.02 24.0r 13JP64 568 C~1XRd 2015 03 22.59103 16 18 35.001 -12 49 29.70 23.9r 13JP64 568 C~1XRd 2019 06 06.357890 16 47 48.074 -12 09 17.94 23.4G 13JP64 G37 C~36nw 2019 06 06.399110 16 47 47.837 -12 09 17.29 13JP64 G37 C~36nw
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 -0.05 0.00 0.01 2 0.0244 0.00 0.02 0.00 -0.06 3 0.0763 0.00 -0.05 0.00 0.05 4 0.0764 0.00 0.07 0.00 0.07 5 0.0765 0.00 -0.15 0.00 0.04 6 0.0793 0.00 -0.01 0.00 0.05 7 0.0820 0.00 0.18 0.00 0.29 8 0.1501 0.00 -0.09 0.00 -0.17 9 0.1556 0.00 0.11 0.00 0.07 10 0.2266 0.00 0.01 0.00 0.03 11 0.2295 0.00 0.02 0.00 0.01 12 0.9035 0.00 -0.03 0.00 -0.00 13 0.9062 0.00 -0.04 0.00 -0.03 14 1.0564 0.00 0.14 0.00 -0.16 15 1.0565 0.00 0.04 0.00 0.02 16 1.0567 0.00 0.05 0.00 -0.18 17 1.0646 0.00 -0.03 0.00 0.03 18 1.0647 0.00 0.05 0.00 0.06 19 1.0648 0.00 -0.06 0.00 -0.07 20 1.1142 0.00 0.01 0.00 -0.16 21 1.1142 0.00 0.00 0.00 0.06 22 1.1223 0.00 0.04 0.00 -0.06 23 1.2233 0.00 -0.08 0.00 -0.08 24 1.2698 0.00 -0.03 0.00 0.05 25 1.9467 0.00 -0.02 0.00 0.08 26 6.1541 0.00 -0.02 0.00 -0.02 27 6.1542 0.00 -0.01 0.00 0.08
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.
13JP64 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.920 56.920 56.921 ecceobj 0.433 0.433 0.433 incobj 13.744 13.744 13.744 qmin 31.826 31.555 31.487 qmax 84.357 87.666 84.152 amean 56.991 57.500 56.797 amin 55.301 55.195 54.454 amax 58.535 60.229 58.439 emean 0.418 0.430 0.422 emin 0.384 0.393 0.394 emax 0.444 0.459 0.443 imean 15.705 14.984 14.971 imin 13.761 13.418 13.186 imax 17.476 16.598 16.638 excite_mean 0.498 0.502 0.495 fracstop 1.000 1.000 1.000 cjmean 2.934 2.933 2.935 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 176.1 181.5 176.8 kozaiamp 179.9 180.0 180.0