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: 13VF72 # Created Fri Nov 22 02:09:50 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 4.19y # First observation: 2013/10/27 # Last observation: 2018/01/05 Preliminary a, adot, b, bdot, g, gdot: 0.000057 0.020337 -0.000026 -0.009383 0.024335 0.000000 # Chi-squared of fit: 3.48 DOF: 26 RMS: 0.08 # Min/Max residuals: -0.21 0.20 # Exact a, adot, b, bdot, g, gdot: 1.406538E-05 2.052507E-02 -6.789562E-06 -9.464626E-03 2.427841E-02 1.558445E-03 # Covariance matrix: 2.5393E-13 -1.9384E-13 -1.9716E-14 5.7396E-14 -3.0102E-14 -1.6196E-12 -1.9384E-13 5.0964E-13 7.5100E-14 -2.2146E-13 2.1560E-13 6.2142E-12 -1.9716E-14 7.5100E-14 2.3189E-13 -1.0573E-13 3.4050E-14 9.9136E-13 5.7396E-14 -2.2146E-13 -1.0573E-13 1.4344E-13 -1.1236E-13 -2.9280E-12 -3.0102E-14 2.1560E-13 3.4050E-14 -1.1236E-13 5.2214E-13 3.0068E-12 -1.6196E-12 6.2142E-12 9.9136E-13 -2.9280E-12 3.0068E-12 8.2103E-11 # lat0 lon0 xBary yBary zBary JD0 -10.339910 29.261360 -0.074061 -0.177622 -0.974211 2456592.634708 # Heliocentric elements and errors Epoch: 2456590.5000 = 2013/10/25 Mean Anomaly: 132.36735 +/- 0.187 Argument of Peri: 63.20683 +/- 0.182 Long of Asc Node: 188.55089 +/- 0.000 Inclination: 26.61817 +/- 0.000 Eccentricity: 0.09544706 +/- 0.0002 Semi-Major Axis: 39.44823768 +/- 0.0044 Time of Perihelion: 2423315.4879 +/- 46.8 Perihelion: 35.68301922 +/- 0.0098 Aphelion: 43.21345614 +/- 0.0102 Period (y) 247.7705 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.17638504 +/- 0.0011 Ecliptic Y 20.35746260 +/- 0.0006 Ecliptic Z -7.39319964 +/- 0.0002 Ecliptic XDOT -0.00115382 +/- 0.0000 Ecliptic YDOT 0.00200853 +/- 0.0000 Ecliptic ZDOT -0.00108139 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.16416155 +/- 0.0009 Geocenter to KBO 41.18886387 +/- 0.0012 # Hcoef: 7.10
The following table shows the complete astrometric record for 13VF72. 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 (13VF72) followed by the observatory code and reference code for the source of the astrometry.
2013 10 27.13393 02 03 23.395 +01 31 26.69 24.6g 13VF72 W84 C~55OI 2013 11 04.08506 02 02 47.16 +01 27 41.2 13VF72 W84 C~55OI 2013 11 04.14806 02 02 46.87 +01 27 39.4 23.6r 13VF72 W84 C~55OI 2013 11 04.23028 02 02 46.49 +01 27 37.3 13VF72 W84 C~55OI 2013 11 23.19533 02 01 25.618 +01 20 22.00 23.1i 13VF72 W84 C~55OI 2014 10 03.28311 02 10 19.292 +01 38 16.59 23.2r 13VF72 W84 C~55OI 2014 10 21.29169 02 09 00.810 +01 28 27.47 22.9r 13VF72 W84 C~55OI 2014 11 27.13249 02 06 19.784 +01 13 16.39 23.0r 13VF72 W84 C~55OI 2015 12 05.07522 02 10 58.539 +01 05 21.21 23.5r 13VF72 W84 C~55OI 2016 09 09.40296 02 21 51.495 +01 38 55.85 23.1i 13VF72 W84 C~55OI 2016 09 10.35756 02 21 48.993 +01 38 25.05 23.0r 13VF72 W84 C~55OI 2016 09 10.35894 02 21 48.986 +01 38 24.94 23.8g 13VF72 W84 C~55OI 2016 10 27.25618 02 18 46.437 +01 12 53.21 23.3r 13VF72 W84 C~55OI 2017 10 13.24804 02 24 56.311 +01 14 02.96 23.6r 13VF72 W84 C~55OI 2017 11 16.18502 02 22 22.778 +00 58 16.98 22.8r 13VF72 W84 C~55OI 2018 01 05.06676 02 19 48.410 +00 51 36.48 23.8g 13VF72 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 -0.14 0.00 0.13
2 0.0218 -587.83 0.04 -22.83 -0.07
3 0.0219 -592.53 -0.00 -23.01 -0.16
4 0.0222 -598.61 0.00 -23.00 -0.04
5 0.0741 -1887.07 -0.00 -10.06 0.06
6 0.9340 5993.13 -0.04 -1778.48 0.07
7 0.9833 4684.20 0.02 -1923.32 -0.03
8 1.0842 2102.53 0.20 -1940.51 0.06
9 2.1052 5861.25 -0.07 -3836.65 -0.03
10 2.8700 15777.83 -0.02 -5340.83 0.03
11 2.8726 15731.73 0.07 -5356.80 0.02
12 2.8726 15731.59 -0.00 -5356.87 -0.02
13 3.0010 12618.27 -0.00 -5847.62 0.05
14 3.9620 17881.94 -0.05 -7711.17 -0.00
15 4.0549 15376.55 0.07 -7800.71 -0.21
16 4.1915 13052.47 -0.07 -7371.87 0.14
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.
13VF72 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.625 39.639 39.611 ecceobj 0.094 0.095 0.094 incobj 26.534 26.534 26.534 qmin 33.076 33.085 33.271 qmax 46.141 46.140 46.094 amean 39.456 39.456 39.456 amin 39.091 39.092 39.090 amax 39.853 39.834 39.856 emean 0.118 0.119 0.117 emin 0.080 0.080 0.082 emax 0.159 0.161 0.158 imean 26.371 26.352 26.397 imin 25.793 25.746 25.840 imax 26.901 26.898 26.906 excite_mean 0.460 0.460 0.460 fracstop 1.000 1.000 1.000 cjmean 2.800 2.800 2.800 libcent 0 180.3 180.2 179.9 libamp 0 72.1 68.7 76.2 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 179.9 180.5 179.1 kozaiamp 180.0 180.0 180.0