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: 13VA72 # Created Sat Apr 20 01:15:41 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 4.18y # First observation: 2013/10/03 # Last observation: 2017/12/08 Preliminary a, adot, b, bdot, g, gdot: 0.000367 0.029117 -0.000000 -0.005366 0.028239 0.000000 # Chi-squared of fit: 5.01 DOF: 30 RMS: 0.09 # Min/Max residuals: -0.17 0.25 # Exact a, adot, b, bdot, g, gdot: 1.671736E-05 2.918369E-02 -3.019264E-06 -5.378205E-03 2.749667E-02 1.521652E-03 # Covariance matrix: 6.4889E-13 1.7585E-13 4.4257E-15 -4.2712E-14 9.9610E-13 1.7706E-12 1.7585E-13 6.4469E-13 2.7683E-14 -1.2496E-13 8.6030E-13 5.6011E-12 4.4257E-15 2.7683E-14 2.2446E-13 -6.6533E-14 2.6235E-14 2.5758E-13 -4.2712E-14 -1.2496E-13 -6.6533E-14 5.1561E-14 -1.6365E-13 -1.1374E-12 9.9610E-13 8.6030E-13 2.6235E-14 -1.6365E-13 2.5233E-12 7.0492E-12 1.7706E-12 5.6011E-12 2.5758E-13 -1.1374E-12 7.0492E-12 5.1141E-11 # lat0 lon0 xBary yBary zBary JD0 -11.088839 24.717114 0.255809 -0.185944 -0.949341 2456568.793368 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 19.11854 +/- 0.105 Argument of Peri: 202.17939 +/- 0.136 Long of Asc Node: 159.11624 +/- 0.001 Inclination: 15.05016 +/- 0.000 Eccentricity: 0.11272323 +/- 0.0001 Semi-Major Axis: 41.69134262 +/- 0.0090 Time of Perihelion: 2451338.7096 +/- 28.6 Perihelion: 36.99175983 +/- 0.0101 Aphelion: 46.39092541 +/- 0.0118 Period (y) 269.2012 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.40435308 +/- 0.0019 Ecliptic Y 15.09807795 +/- 0.0008 Ecliptic Z -6.99483800 +/- 0.0004 Ecliptic XDOT -0.00117970 +/- 0.0000 Ecliptic YDOT 0.00265735 +/- 0.0000 Ecliptic ZDOT -0.00055451 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.31930494 +/- 0.0017 Geocenter to KBO 36.36804579 +/- 0.0021 # Hcoef: 7.78
The following table shows the complete astrometric record for 13VA72. 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 (13VA72) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.29259 01 47 44.974 -00 45 30.91 23.8g 13VA72 W84 C~55OI 2013 11 04.06585 01 45 08.54 -01 02 01.5 23.6r 13VA72 W84 C~55OI 2013 11 04.12882 01 45 08.22 -01 02 03.1 13VA72 W84 C~55OI 2013 11 04.21126 01 45 07.82 -01 02 05.2 13VA72 W84 C~55OI 2013 11 08.23320 01 44 48.591 -01 03 42.18 23.8r 13VA72 W84 C~55OI 2013 11 08.23457 01 44 48.573 -01 03 41.91 23.0i 13VA72 W84 C~55OI 2014 10 23.27793 01 52 48.869 -00 37 27.16 23.1i 13VA72 W84 C~55OI 2015 11 20.13336 01 57 14.500 -00 29 45.80 22.9i 13VA72 W84 C~55OI 2016 11 28.12027 02 03 13.687 -00 13 08.54 23.5i 13VA72 W84 C~55OI 2016 11 28.12449 02 03 13.654 -00 13 08.68 23.3r 13VA72 W84 C~55OI 2016 11 28.12586 02 03 13.665 -00 13 08.59 24.1g 13VA72 W84 C~55OI 2017 10 29.26346 02 12 10.842 +00 16 01.92 24.2g 13VA72 W84 C~55OI 2017 10 29.26484 02 12 10.835 +00 16 01.90 23.6r 13VA72 W84 C~55OI 2017 10 29.26622 02 12 10.825 +00 16 01.75 22.8i 13VA72 W84 C~55OI 2017 10 30.21811 02 12 06.027 +00 15 35.08 22.8z 13VA72 W84 C~55OI 2017 11 16.16821 02 10 42.444 +00 08 49.69 23.3i 13VA72 W84 C~55OI 2017 11 16.16958 02 10 42.426 +00 08 49.61 24.5g 13VA72 W84 C~55OI 2017 12 08.15224 02 09 10.680 +00 04 01.32 23.5r 13VA72 W84 C~55OI
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 -0.02
2 0.0870 -2545.76 0.10 -76.02 -0.08
3 0.0872 -2550.82 -0.05 -75.78 -0.04
4 0.0874 -2557.17 0.03 -75.57 -0.10
5 0.0984 -2861.17 -0.01 -61.85 -0.09
6 0.0984 -2861.32 -0.06 -61.50 0.25
7 1.0540 4425.45 -0.07 -1196.88 -0.02
8 2.1296 8310.92 -0.03 -2208.97 0.03
9 3.1535 13710.86 0.14 -3232.45 0.11
10 3.1535 13710.34 -0.11 -3232.40 0.12
11 3.1535 13710.53 0.16 -3232.37 0.12
12 4.0711 21919.85 -0.01 -4528.37 0.01
13 4.0711 21919.74 0.00 -4528.35 0.03
14 4.0711 21919.55 -0.08 -4528.44 -0.06
15 4.0737 21841.92 0.02 -4527.17 -0.17
16 4.1201 20512.18 0.15 -4449.54 -0.01
17 4.1201 20511.90 -0.03 -4449.52 0.00
18 4.1803 19111.32 -0.16 -4217.70 -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.
13VA72 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.929 41.956 41.902 ecceobj 0.118 0.119 0.118 incobj 15.016 15.016 15.016 qmin 36.510 35.577 36.408 qmax 46.936 47.885 47.125 amean 41.617 41.618 41.618 amin 41.263 41.249 41.279 amax 42.004 42.026 41.989 emean 0.104 0.121 0.111 emin 0.089 0.097 0.099 emax 0.119 0.142 0.122 imean 14.883 14.728 14.772 imin 13.883 13.523 13.797 imax 15.809 15.825 15.722 excite_mean 0.277 0.282 0.278 fracstop 1.000 1.000 1.000 cjmean 2.983 2.981 2.983 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 182.5 180.1 183.7 kozaiamp 180.0 180.0 180.0