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: 13VO71 # Created Sun Dec 22 02:09:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 10.90y # First observation: 2013/11/08 # Last observation: 2024/10/01 # Chi-squared of fit: 11.72 DOF: 16 RMS: 0.18 # Min/Max residuals: -0.36 0.37 # Exact a, adot, b, bdot, g, gdot: 1.163593E-05 1.601065E-02 3.040027E-06 4.379793E-03 2.023362E-02 -1.028499E-03 # Covariance matrix: 4.3354E-13 -1.9651E-13 4.4947E-14 -4.1656E-14 4.9780E-14 -7.9928E-13 -1.9651E-13 1.6777E-13 -4.1940E-14 3.9025E-14 -1.1394E-13 7.4960E-13 4.4947E-14 -4.1940E-14 2.6790E-13 -4.0064E-14 3.3969E-15 -2.0343E-13 -4.1656E-14 3.9025E-14 -4.0064E-14 1.6720E-14 -6.2959E-15 1.8833E-13 4.9780E-14 -1.1394E-13 3.3969E-15 -6.2959E-15 1.3746E-12 -1.3727E-13 -7.9928E-13 7.4960E-13 -2.0343E-13 1.8833E-13 -1.3727E-13 3.6126E-12 # lat0 lon0 xBary yBary zBary JD0 -3.871258 12.213233 -0.544760 -0.055635 -0.824243 2456604.686168 # Heliocentric elements and errors Epoch: 2456604.5000 = 2013/11/08 Mean Anomaly: 203.90979 +/- 0.060 Argument of Peri: 147.89023 +/- 0.036 Long of Asc Node: 26.45513 +/- 0.000 Inclination: 15.78506 +/- 0.000 Eccentricity: 0.14990127 +/- 0.0002 Semi-Major Axis: 44.07560497 +/- 0.0087 Time of Perihelion: 2502945.8855 +/- 25.3 Perihelion: 37.46861581 +/- 0.0103 Aphelion: 50.68259412 +/- 0.0123 Period (y) 292.6211 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 48.88530517 +/- 0.0028 Ecliptic Y 11.14168799 +/- 0.0006 Ecliptic Z -3.33666873 +/- 0.0002 Ecliptic XDOT -0.00056108 +/- 0.0000 Ecliptic YDOT 0.00209478 +/- 0.0000 Ecliptic ZDOT 0.00060082 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.24984677 +/- 0.0027 Geocenter to KBO 49.42277448 +/- 0.0029 # Hcoef: 6.52
The following table shows the complete astrometric record for 13VO71. 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 (13VO71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.18539 00 50 58.066 +01 15 41.15 23.7r 13VO71 W84 C~52Rq 2013 11 08.18675 00 50 58.064 +01 15 40.79 24.0i 13VO71 W84 C~52Rq 2013 11 23.15191 00 50 14.660 +01 12 39.30 21.8i 13VO71 W84 C~52Rq 2014 11 13.13537 00 53 42.549 +01 49 49.35 23.8r 13VO71 W84 C~52Rq 2016 09 01.36604 01 04 06.832 +03 24 36.02 23.9r 13VO71 W84 C~52Rq 2016 11 05.16722 01 00 06.809 +03 02 22.10 22.3i 13VO71 W84 C~52Rq 2016 11 06.16827 01 00 03.357 +03 02 04.84 24.1r 13VO71 W84 C~52Rq 2016 11 18.09504 00 59 25.275 +02 59 09.17 22.8z 13VO71 W84 C~52Rq 2024 10 01.385060 01 26 58.299 +07 59 08.76 23.9G 13VO71 G37 C~8H08 2024 10 01.428710 01 26 58.139 +07 59 08.39 13VO71 G37 C~8H08 2024 10 01.472860 01 26 57.974 +07 59 06.95 13VO71 G37 C~8H08
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 0.14 0.00 0.14
2 0.0000 0.00 0.17 0.00 -0.20
3 0.0410 0.00 -0.36 0.00 0.14
4 1.0129 0.00 -0.07 0.00 0.07
5 2.8150 0.00 -0.05 0.00 0.03
6 2.9924 0.00 -0.05 0.00 0.21
7 2.9952 0.00 0.18 0.00 -0.22
8 3.0278 0.00 0.11 0.00 -0.21
9 10.8972 0.00 -0.19 0.00 -0.16
10 10.8973 0.00 -0.00 0.00 0.37
11 10.8974 0.00 0.14 0.00 -0.16
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.
13VO71 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.298 44.298 44.298 ecceobj 0.143 0.143 0.143 incobj 15.736 15.736 15.736 qmin 36.464 36.487 36.429 qmax 52.059 52.102 52.039 amean 44.101 44.100 44.099 amin 43.728 43.718 43.726 amax 44.515 44.514 44.519 emean 0.154 0.154 0.155 emin 0.139 0.139 0.140 emax 0.170 0.171 0.170 imean 15.074 15.075 15.076 imin 14.379 14.381 14.371 imax 15.715 15.715 15.715 excite_mean 0.303 0.303 0.303 fracstop 1.000 1.000 1.000 cjmean 2.992 2.992 2.992 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 180.8 180.6 180.5 kozaiamp 180.0 179.9 180.0