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 Sat Mar 30 01:16:16 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 3.03y # First observation: 2013/11/08 # Last observation: 2016/11/18 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.016062 -0.000004 0.004397 0.020362 0.000000 # Chi-squared of fit: 6.83 DOF: 10 RMS: 0.16 # Min/Max residuals: -0.30 0.28 # Exact a, adot, b, bdot, g, gdot: 1.154227E-05 1.601121E-02 3.273715E-06 4.379757E-03 2.023415E-02 -1.017749E-03 # Covariance matrix: 4.5714E-13 -4.1206E-13 9.8919E-15 -6.8971E-14 -1.6937E-13 -5.1183E-12 -4.1206E-13 3.6404E-12 -1.4564E-13 9.8445E-13 3.6274E-12 7.2956E-11 9.8919E-15 -1.4564E-13 4.3940E-13 -1.9561E-13 -1.6136E-13 -3.0206E-12 -6.8971E-14 9.8445E-13 -1.9561E-13 3.7036E-13 1.0524E-12 2.0346E-11 -1.6937E-13 3.6274E-12 -1.6136E-13 1.0524E-12 5.4223E-12 7.7866E-11 -5.1183E-12 7.2956E-11 -3.0206E-12 2.0346E-11 7.7866E-11 1.5076E-09 # lat0 lon0 xBary yBary zBary JD0 -3.871258 12.213233 -0.544760 -0.055635 -0.824243 2456604.686168 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 203.61916 +/- 0.755 Argument of Peri: 148.09564 +/- 0.746 Long of Asc Node: 26.45560 +/- 0.001 Inclination: 15.78452 +/- 0.001 Eccentricity: 0.14975264 +/- 0.0005 Semi-Major Axis: 44.07124636 +/- 0.0185 Time of Perihelion: 2503021.2823 +/- 222.1 Perihelion: 37.47146097 +/- 0.0288 Aphelion: 50.67103175 +/- 0.0322 Period (y) 292.5777 +/- 0.18 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 48.88405311 +/- 0.0055 Ecliptic Y 11.14141223 +/- 0.0012 Ecliptic Z -3.33657040 +/- 0.0004 Ecliptic XDOT -0.00055966 +/- 0.0000 Ecliptic YDOT 0.00209511 +/- 0.0000 Ecliptic ZDOT 0.00060071 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.24852652 +/- 0.0054 Geocenter to KBO 49.42140841 +/- 0.0057 # Hcoef: 6.43
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
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 0.20 0.00 0.03 2 0.0000 -0.17 0.10 -0.32 -0.30 3 0.0410 -670.42 -0.24 85.62 0.22 4 1.0129 3068.81 -0.09 928.45 0.06 5 2.8150 13917.68 -0.05 2547.02 0.09 6 2.9924 10073.61 0.02 2707.50 0.28 7 2.9952 10019.12 0.07 2711.62 -0.22 8 3.0278 9423.83 -0.00 2770.64 -0.17
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 44.293 44.345 44.242 ecceobj 0.143 0.144 0.142 incobj 15.735 15.735 15.736 qmin 36.431 36.459 36.432 qmax 52.080 52.162 51.935 amean 44.096 44.136 44.050 amin 43.723 43.769 43.657 amax 44.530 44.546 44.489 emean 0.154 0.155 0.154 emin 0.140 0.140 0.139 emax 0.171 0.171 0.169 imean 15.074 15.081 15.077 imin 14.382 14.389 14.386 imax 15.718 15.720 15.708 excite_mean 0.303 0.303 0.302 fracstop 1.000 1.000 1.000 cjmean 2.992 2.992 2.991 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 180.6 180.7 180.0 kozaiamp 180.0 180.0 180.0