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: 13VQ71 # Created Wed Apr 17 01:15:34 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 2.97y # First observation: 2013/11/08 # Last observation: 2016/10/29 Preliminary a, adot, b, bdot, g, gdot: -0.000010 0.025236 -0.000015 -0.000054 0.025901 0.000000 # Chi-squared of fit: 4.66 DOF: 18 RMS: 0.11 # Min/Max residuals: -0.22 0.23 # Exact a, adot, b, bdot, g, gdot: 1.564745E-05 2.534329E-02 -1.551602E-07 -4.352825E-05 2.566243E-02 1.645560E-03 # Covariance matrix: 4.5652E-13 -5.4510E-13 1.5755E-15 1.9192E-16 -2.1907E-13 -5.1625E-12 -5.4510E-13 1.1725E-12 -7.6635E-15 -1.3448E-15 7.1442E-13 1.3644E-11 1.5755E-15 -7.6635E-15 3.0359E-13 -1.4995E-13 -2.0669E-14 -9.5675E-14 1.9192E-16 -1.3448E-15 -1.4995E-13 1.2572E-13 -4.6188E-15 -1.6519E-14 -2.1907E-13 7.1442E-13 -2.0669E-14 -4.6188E-15 1.0802E-12 9.1499E-12 -5.1625E-12 1.3644E-11 -9.5675E-14 -1.6519E-14 9.1499E-12 1.7787E-10 # lat0 lon0 xBary yBary zBary JD0 -9.545081 30.639773 -0.256284 -0.158352 -0.942580 2456604.720548 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 93.36371 +/- 0.124 Argument of Peri: 168.30092 +/- 0.109 Long of Asc Node: 121.45135 +/- 0.005 Inclination: 9.31755 +/- 0.000 Eccentricity: 0.06954644 +/- 0.0005 Semi-Major Axis: 39.56069639 +/- 0.0050 Time of Perihelion: 2433029.9382 +/- 30.9 Perihelion: 36.80939060 +/- 0.0206 Aphelion: 42.31200218 +/- 0.0208 Period (y) 248.8308 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.75376616 +/- 0.0013 Ecliptic Y 20.29491534 +/- 0.0008 Ecliptic Z -6.46178928 +/- 0.0003 Ecliptic XDOT -0.00123584 +/- 0.0000 Ecliptic YDOT 0.00241245 +/- 0.0000 Ecliptic ZDOT -0.00003355 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.91184085 +/- 0.0012 Geocenter to KBO 38.96747549 +/- 0.0016 # Hcoef: 7.33
The following table shows the complete astrometric record for 13VQ71. 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 (13VQ71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.21977 02 07 23.629 +02 44 18.24 23.2r 13VQ71 W84 C~52Rq 2013 11 08.23874 02 07 23.537 +02 44 17.88 22.9i 13VQ71 W84 C~52Rq 2013 11 13.19608 02 07 00.358 +02 42 36.34 22.7z 13VQ71 W84 C~52Rr 2014 10 03.33458 02 15 41.777 +03 29 40.28 22.8i 13VQ71 W84 C~52Rr 2014 10 03.33595 02 15 41.749 +03 29 40.05 24.1g 13VQ71 W84 C~52Rr 2014 11 17.12976 02 12 10.846 +03 11 01.25 23.9r 13VQ71 W84 C~52Rr 2014 12 16.12224 02 10 20.378 +03 05 49.22 23.6r 13VQ71 W84 C~52Rr 2014 12 25.09067 02 09 57.914 +03 05 47.66 23.4i 13VQ71 W84 C~52Rr 2015 01 15.04937 02 09 33.560 +03 08 49.03 22.4z 13VQ71 W84 C~52Rr 2016 01 10.05913 02 14 56.172 +03 36 31.31 23.9r 13VQ71 W84 C~52Rr 2016 10 29.20473 02 24 30.756 +04 16 04.04 23.0i 13VQ71 W84 C~52Rr 2016 10 29.20610 02 24 30.762 +04 16 04.09 23.1r 13VQ71 W84 C~52Rr
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 -0.01 0.00 0.03
2 0.0001 -1.42 -0.00 0.13 0.07
3 0.0136 -362.48 -0.03 23.75 -0.04
4 0.9011 7946.07 0.16 8.35 -0.04
5 0.9011 7945.60 -0.22 8.28 -0.10
6 1.0237 4592.04 0.13 34.22 0.08
7 1.1031 2929.95 0.03 306.57 -0.10
8 1.1276 2613.19 -0.08 420.20 -0.21
9 1.1850 2332.46 0.07 715.45 0.23
10 2.1707 7443.61 -0.06 627.90 0.17
11 2.9733 16367.69 -0.10 -61.94 -0.05
12 2.9733 16367.79 0.11 -61.92 -0.03
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.
13VQ71 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.777 39.793 39.761 ecceobj 0.072 0.073 0.072 incobj 9.317 9.317 9.317 qmin 35.733 35.743 35.768 qmax 43.466 43.513 43.508 amean 39.464 39.464 39.464 amin 39.120 39.109 39.135 amax 39.839 39.855 39.827 emean 0.070 0.070 0.070 emin 0.048 0.049 0.050 emax 0.091 0.093 0.093 imean 7.892 7.858 7.902 imin 6.960 6.914 6.992 imax 9.196 9.208 9.161 excite_mean 0.154 0.154 0.155 fracstop 1.000 1.000 1.000 cjmean 3.026 3.026 3.025 libcent 0 180.2 180.8 180.2 libamp 0 58.9 67.2 52.4 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 179.8 180.0 179.7 kozaiamp 180.0 180.0 180.0