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: 13VS46 # Created Tue Jan 21 02:10:02 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 5.08y # First observation: 2013/10/29 # Last observation: 2018/11/29 # Chi-squared of fit: 4.96 DOF: 40 RMS: 0.08 # Min/Max residuals: -0.16 0.22 # Exact a, adot, b, bdot, g, gdot: 1.747652E-05 2.596116E-02 4.308063E-06 6.960582E-03 2.370276E-02 9.235431E-03 # Covariance matrix: 5.0721E-13 -3.7106E-13 6.3469E-14 -8.3262E-14 -4.7181E-14 -2.5193E-12 -3.7106E-13 4.5251E-13 -1.0247E-13 1.2471E-13 1.7126E-13 3.7608E-12 6.3469E-14 -1.0247E-13 3.2693E-13 -1.2206E-13 -6.1021E-14 -9.2638E-13 -8.3262E-14 1.2471E-13 -1.2206E-13 7.3129E-14 5.2911E-14 1.1256E-12 -4.7181E-14 1.7126E-13 -6.1021E-14 5.2911E-14 3.1095E-13 1.5659E-12 -2.5193E-12 3.7608E-12 -9.2638E-13 1.1256E-12 1.5659E-12 3.3943E-11 # lat0 lon0 xBary yBary zBary JD0 -14.061927 27.516898 -0.138721 -0.238646 -0.953282 2456594.649838 # Heliocentric elements and errors Epoch: 2456594.5000 = 2013/10/29 Mean Anomaly: 9.84215 +/- 0.009 Argument of Peri: 266.08045 +/- 0.017 Long of Asc Node: 69.40293 +/- 0.001 Inclination: 20.19055 +/- 0.000 Eccentricity: 0.63057614 +/- 0.0003 Semi-Major Axis: 100.40112496 +/- 0.0574 Time of Perihelion: 2446548.4905 +/- 12.3 Perihelion: 37.09057107 +/- 0.0333 Aphelion: 163.71167885 +/- 0.0970 Period (y) 1006.0419 +/- 0.86 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.10181662 +/- 0.0009 Ecliptic Y 19.48785349 +/- 0.0004 Ecliptic Z -10.25058834 +/- 0.0002 Ecliptic XDOT -0.00030062 +/- 0.0000 Ecliptic YDOT 0.00322622 +/- 0.0000 Ecliptic ZDOT 0.00052086 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.14363524 +/- 0.0008 Geocenter to KBO 42.18895518 +/- 0.0010 # Hcoef: 6.63
The following table shows the complete astrometric record for 13VS46. 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 (13VS46) followed by the observatory code and reference code for the source of the astrometry.
2013 10 29.14906 02 02 12.779 -02 33 33.01 23.6g 13VS46 W84 C~4yRU 2013 11 13.18324 02 01 07.08 -02 37 07.8 22.2z 13VS46 W84 C~3clY 2014 10 23.29471 02 07 37.540 -01 38 13.99 23.3g 13VS46 W84 C~4yRU 2014 11 28.18350 02 05 06.430 -01 45 37.74 23.6g 13VS46 W84 C~4yRU 2014 12 26.06893 02 03 49.585 -01 43 21.18 23.4i 13VS46 W84 C~4yRU 2015 01 14.06383 02 03 31.806 -01 37 28.23 22.9r 13VS46 W84 C~4yRU 2015 01 19.05630 02 03 32.413 -01 35 23.30 22.9z 13VS46 W84 C~4yRU 2015 12 15.15674 02 09 04.014 -00 53 17.04 23.5r 13VS46 W84 C~4yRU 2015 12 17.12662 02 08 58.875 -00 53 05.14 22.7i 13VS46 W84 C~4yRU 2016 09 10.30493 02 19 50.950 +00 21 46.09 22.2i 13VS46 W84 C~4yRU 2016 09 10.30630 02 19 50.945 +00 21 45.90 23.2r 13VS46 W84 C~4yRU 2016 09 10.30766 02 19 50.943 +00 21 45.86 24.0g 13VS46 W84 C~4yRU 2016 10 27.17613 02 16 55.010 +00 04 13.05 23.3r 13VS46 W84 C~4yRU 2016 10 27.17750 02 16 55.005 +00 04 12.93 23.1i 13VS46 W84 C~4yRU 2016 10 27.17887 02 16 54.991 +00 04 12.97 23.4g 13VS46 W84 C~4yRU 2016 12 07.08667 02 14 10.319 -00 02 34.75 22.5i 13VS46 W84 C~4yRU 2016 12 23.05251 02 13 27.381 -00 01 19.79 23.1r 13VS46 W84 C~4yRU 2017 10 21.22556 02 22 01.910 +00 56 39.87 23.9g 13VS46 W84 C~4yRU 2017 10 30.21948 02 21 22.708 +00 53 49.82 22.3z 13VS46 W84 C~4yRU 2017 12 07.03810 02 18 50.792 +00 47 35.81 22.4i 13VS46 W84 C~4yRU 2017 12 24.06658 02 18 04.122 +00 48 40.20 23.0z 13VS46 W84 C~4yRU 2018 01 05.06676 02 17 44.011 +00 51 01.26 24.0g 13VS46 W84 C~4yRU 2018 11 29.17757 02 23 53.950 +01 37 19.83 23.7g 13VS46 W84 C~4yRU
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 -0.05 0.00 0.05
2 0.0412 0.00 -0.02 0.00 -0.02
3 0.9833 0.00 0.04 0.00 0.02
4 1.0815 0.00 -0.08 0.00 -0.01
5 1.1579 0.00 0.22 0.00 -0.08
6 1.2099 0.00 -0.08 0.00 -0.03
7 1.2236 0.00 -0.00 0.00 0.12
8 2.1273 0.00 0.07 0.00 -0.08
9 2.1327 0.00 -0.09 0.00 0.05
10 2.8670 0.00 0.01 0.00 0.09
11 2.8670 0.00 -0.01 0.00 -0.07
12 2.8670 0.00 0.01 0.00 -0.07
13 2.9953 0.00 0.06 0.00 0.06
14 2.9953 0.00 0.08 0.00 -0.03
15 2.9953 0.00 -0.04 0.00 0.03
16 3.1073 0.00 0.12 0.00 -0.05
17 3.1510 0.00 0.07 0.00 -0.05
18 3.9783 0.00 0.00 0.00 0.15
19 4.0029 0.00 -0.05 0.00 0.02
20 4.1065 0.00 -0.16 0.00 0.18
21 4.1531 0.00 0.01 0.00 -0.13
22 4.1859 0.00 -0.09 0.00 -0.03
23 5.0843 0.00 0.13 0.00 -0.05
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.
13VS46 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 102.383 102.384 102.382 ecceobj 0.638 0.638 0.638 incobj 20.193 20.193 20.193 qmin 36.178 36.406 36.172 qmax 168.688 168.723 168.938 amean 100.179 100.163 100.252 amin 98.369 98.388 98.349 amax 102.867 102.883 102.998 emean 0.626 0.625 0.626 emin 0.613 0.612 0.611 emax 0.640 0.640 0.640 imean 19.695 19.690 19.696 imin 18.880 18.859 18.864 imax 20.828 20.859 20.887 excite_mean 0.711 0.711 0.711 fracstop 1.000 1.000 1.000 cjmean 2.980 2.980 2.980 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 172.9 173.1 173.1 kozaiamp 180.0 180.0 180.0