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: 13VT71 # Created Fri Nov 22 02:09:50 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 3.13y # First observation: 2013/11/08 # Last observation: 2016/12/25 Preliminary a, adot, b, bdot, g, gdot: -0.000145 0.038346 -0.000008 -0.000437 0.032119 0.000000 # Chi-squared of fit: 4.99 DOF: 30 RMS: 0.09 # Min/Max residuals: -0.20 0.20 # Exact a, adot, b, bdot, g, gdot: 1.899769E-05 3.776912E-02 2.285677E-07 -4.362463E-04 3.210395E-02 -8.757313E-03 # Covariance matrix: 1.7110E-13 -1.6997E-13 6.4613E-16 -5.9021E-16 -2.4031E-14 -9.7001E-13 -1.6997E-13 5.6030E-13 -3.1291E-15 3.0321E-15 1.1591E-13 4.8636E-12 6.4613E-16 -3.1291E-15 1.5199E-13 -7.3295E-14 -6.8226E-15 -2.9885E-14 -5.9021E-16 3.0321E-15 -7.3295E-14 7.6168E-14 -3.3408E-15 3.1489E-14 -2.4031E-14 1.1591E-13 -6.8226E-15 -3.3408E-15 2.7944E-13 1.1003E-12 -9.7001E-13 4.8636E-12 -2.9885E-14 3.1489E-14 1.1003E-12 4.8868E-11 # lat0 lon0 xBary yBary zBary JD0 -11.524740 35.691336 -0.171483 -0.194571 -0.954953 2456604.741068 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 323.35629 +/- 0.010 Argument of Peri: 330.47864 +/- 0.025 Long of Asc Node: 128.77541 +/- 0.002 Inclination: 11.18958 +/- 0.000 Eccentricity: 0.28853643 +/- 0.0002 Semi-Major Axis: 39.57848990 +/- 0.0050 Time of Perihelion: 2465857.7978 +/- 1.9 Perihelion: 28.15865376 +/- 0.0079 Aphelion: 50.99832604 +/- 0.0096 Period (y) 248.9987 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.47861600 +/- 0.0004 Ecliptic Y 18.51713024 +/- 0.0003 Ecliptic Z -6.22330613 +/- 0.0001 Ecliptic XDOT -0.00248571 +/- 0.0000 Ecliptic YDOT 0.00218301 +/- 0.0000 Ecliptic ZDOT 0.00011290 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.10566188 +/- 0.0004 Geocenter to KBO 31.14881904 +/- 0.0005 # Hcoef: 8.44
The following table shows the complete astrometric record for 13VT71. 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 (13VT71) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.24029 02 28 47.050 +02 31 36.53 24.2g 13VT71 W84 C~52Rr 2013 11 08.24166 02 28 47.047 +02 31 36.56 23.3r 13VT71 W84 C~52Rr 2013 11 08.25815 02 28 46.940 +02 31 36.19 23.2i 13VT71 W84 C~52Rr 2013 11 23.21306 02 27 22.146 +02 26 11.51 23.2i 13VT71 W84 C~52Rr 2013 11 23.21444 02 27 22.145 +02 26 11.92 22.7z 13VT71 W84 C~52Rr 2013 12 01.18848 02 26 40.899 +02 24 13.84 23.9r 13VT71 W84 C~52Rr 2013 12 20.13557 02 25 21.526 +02 22 32.71 22.8z 13VT71 W84 C~52Rr 2013 12 20.13695 02 25 21.517 +02 22 32.92 23.0i 13VT71 W84 C~52Rr 2014 08 19.40085 02 42 32.520 +03 54 40.92 23.2i 13VT71 W84 C~52Rr 2014 09 30.30761 02 40 43.501 +03 33 17.26 24.2g 13VT71 W84 C~52Rr 2014 09 30.30898 02 40 43.496 +03 33 17.47 23.7r 13VT71 W84 C~52Rr 2014 09 30.31034 02 40 43.495 +03 33 17.24 23.4i 13VT71 W84 C~52Rr 2014 10 21.30581 02 38 53.420 +03 21 20.66 24.1i 13VT71 W84 C~52Rr 2015 12 15.16239 02 42 15.269 +03 43 50.33 23.4r 13VT71 W84 C~52Rr 2015 12 15.16376 02 42 15.266 +03 43 50.21 23.3i 13VT71 W84 C~52Rr 2015 12 17.14878 02 42 06.868 +03 43 43.32 23.5g 13VT71 W84 C~52Rr 2016 09 13.35311 02 58 44.972 +05 04 20.88 23.5r 13VT71 W84 C~52Rr 2016 12 25.13567 02 50 02.468 +04 24 51.84 23.2r 13VT71 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 -0.08 0.00 -0.09
2 0.0000 -0.03 0.01 0.04 -0.05
3 0.0000 -1.67 -0.09 0.21 0.04
4 0.0410 -1309.11 -0.08 104.08 -0.20
5 0.0410 -1308.99 0.16 104.47 0.18
6 0.0628 -1932.11 -0.03 192.84 -0.16
7 0.1147 -3090.49 0.03 482.45 -0.05
8 0.1147 -3090.55 0.04 482.69 0.17
9 0.7780 13327.24 -0.00 740.77 0.08
10 0.8927 11363.04 -0.06 46.42 -0.04
11 0.8927 11363.04 0.05 46.64 0.20
12 0.8927 11362.95 0.07 46.43 0.00
13 0.9502 9567.40 0.08 -103.37 -0.02
14 2.0997 12872.42 -0.07 206.03 0.13
15 2.0997 12872.34 -0.06 205.93 0.00
16 2.1052 12750.59 -0.02 239.73 -0.14
17 2.8477 28606.26 -0.04 80.79 -0.04
18 3.1291 20331.51 0.10 307.96 -0.01
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.
13VT71 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.743 39.754 39.732 ecceobj 0.288 0.288 0.287 incobj 11.186 11.186 11.186 qmin 27.413 27.435 27.326 qmax 52.082 51.965 52.058 amean 39.454 39.454 39.455 amin 39.058 39.053 39.045 amax 39.960 39.962 39.946 emean 0.279 0.279 0.279 emin 0.256 0.256 0.254 emax 0.305 0.303 0.305 imean 10.012 10.030 10.008 imin 8.311 8.291 8.324 imax 11.315 11.406 11.269 excite_mean 0.329 0.329 0.329 fracstop 1.000 1.000 1.000 cjmean 2.928 2.928 2.928 libcent 0 178.8 180.2 179.7 libamp 0 51.7 47.4 51.6 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 211.4 203.3 215.0 kozaiamp 180.0 180.0 179.9