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: 13VR71 # Created Sun Dec 22 02:09:51 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 3.15y # First observation: 2013/11/08 # Last observation: 2017/01/01 Preliminary a, adot, b, bdot, g, gdot: 0.000278 0.035441 0.000032 0.007298 0.031435 0.000000 # Chi-squared of fit: 5.78 DOF: 18 RMS: 0.12 # Min/Max residuals: -0.37 0.21 # Exact a, adot, b, bdot, g, gdot: 1.842818E-05 3.626503E-02 3.744375E-06 7.520527E-03 3.140530E-02 4.132853E-03 # Covariance matrix: 4.3797E-13 -4.5269E-13 2.7634E-14 -7.3647E-14 -1.6770E-13 -2.9291E-12 -4.5269E-13 1.4207E-12 -1.2081E-13 2.9709E-13 1.0218E-12 1.2146E-11 2.7634E-14 -1.2081E-13 3.6402E-13 -1.6602E-13 -9.6994E-14 -1.0941E-12 -7.3647E-14 2.9709E-13 -1.6602E-13 1.5306E-13 2.0253E-13 2.7299E-12 -1.6770E-13 1.0218E-12 -9.6994E-14 2.0253E-13 1.2377E-12 8.7979E-12 -2.9291E-12 1.2146E-11 -1.0941E-12 2.7299E-12 8.7979E-12 1.1104E-10 # lat0 lon0 xBary yBary zBary JD0 -11.546570 31.686759 -0.238903 -0.192074 -0.940873 2456604.727958 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 27.58516 +/- 0.041 Argument of Peri: 274.22545 +/- 0.073 Long of Asc Node: 75.18867 +/- 0.001 Inclination: 16.18331 +/- 0.000 Eccentricity: 0.20561607 +/- 0.0002 Semi-Major Axis: 39.49984747 +/- 0.0049 Time of Perihelion: 2449652.4238 +/- 10.3 Perihelion: 31.37804415 +/- 0.0090 Aphelion: 47.62165079 +/- 0.0101 Period (y) 248.2569 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.23753944 +/- 0.0009 Ecliptic Y 17.09778850 +/- 0.0006 Ecliptic Z -6.37352455 +/- 0.0002 Ecliptic XDOT -0.00125478 +/- 0.0000 Ecliptic YDOT 0.00294288 +/- 0.0000 Ecliptic ZDOT 0.00057038 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.78474862 +/- 0.0008 Geocenter to KBO 31.84175484 +/- 0.0011 # Hcoef: 8.93
The following table shows the complete astrometric record for 13VR71. 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 (13VR71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.22718 02 13 59.729 +01 12 25.64 24.1r 13VR71 W84 C~52Rr 2013 11 08.24587 02 13 59.628 +01 12 25.15 23.4i 13VR71 W84 C~52Rr 2013 11 23.19826 02 12 37.345 +01 08 23.92 23.2i 13VR71 W84 C~52Rr 2014 10 21.24648 02 22 59.159 +02 26 03.91 23.5r 13VR71 W84 C~52Rr 2014 12 16.12503 02 18 06.754 +02 12 29.49 23.9r 13VR71 W84 C~52Rr 2015 01 19.04437 02 17 05.424 +02 20 59.78 23.5i 13VR71 W84 C~52Rr 2015 12 17.13910 02 25 09.068 +03 17 18.32 23.7i 13VR71 W84 C~52Rr 2015 12 17.14046 02 25 09.065 +03 17 18.26 23.3r 13VR71 W84 C~52Rr 2016 09 10.40032 02 40 17.031 +04 54 21.94 23.4i 13VR71 W84 C~52Rr 2017 01 01.24477 02 31 21.93 +04 22 51.5 25.5r 13VR71 T09 C~8CN9 2017 01 01.38357 02 31 21.60 +04 22 53.2 25.7r 13VR71 T09 C~8CN9 2017 01 01.40919 02 31 21.53 +04 22 52.9 25.1r 13VR71 T09 C~8CN9
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 -0.03 0.00 0.01
2 0.0001 -1.59 0.05 0.05 -0.14
3 0.0410 -1244.38 -0.01 190.92 0.06
4 0.9501 9110.74 -0.09 1425.36 0.02
5 1.1031 4705.54 0.10 2138.71 0.15
6 1.1959 4012.73 -0.00 2929.95 -0.14
7 2.1052 11987.86 -0.02 3668.05 0.07
8 2.1052 11987.79 -0.01 3668.01 -0.00
9 2.8396 26878.93 0.06 4624.64 0.21
10 3.1486 18605.12 0.07 5509.39 -0.01
11 3.1490 18601.01 0.11 5512.66 0.13
12 3.1490 18599.91 -0.23 5512.73 -0.37
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.
13VR71 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.756 39.773 39.740 ecceobj 0.212 0.212 0.211 incobj 16.189 16.189 16.189 qmin 27.851 27.878 27.851 qmax 51.711 51.604 51.678 amean 39.455 39.455 39.455 amin 39.028 39.034 39.027 amax 39.980 39.976 39.990 emean 0.250 0.250 0.250 emin 0.193 0.193 0.192 emax 0.294 0.292 0.293 imean 11.855 11.878 11.850 imin 9.193 9.219 9.201 imax 14.963 14.963 14.962 excite_mean 0.326 0.326 0.325 fracstop 1.000 1.000 1.000 cjmean 2.931 2.931 2.931 libcent 0 180.2 180.0 180.8 libamp 0 71.6 71.0 73.2 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 266.4 266.8 265.6 kozaiamp 59.6 58.9 60.8