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: 13VL46 # Created Tue Apr 1 01:09:53 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 5.12y # First observation: 2013/10/13 # Last observation: 2018/11/27 # Chi-squared of fit: 3.88 DOF: 42 RMS: 0.07 # Min/Max residuals: -0.15 0.14 # Exact a, adot, b, bdot, g, gdot: 1.399510E-05 1.832355E-02 1.594830E-07 2.722107E-05 2.103678E-02 -1.496357E-03 # Covariance matrix: 3.2131E-13 -1.8755E-13 -1.0211E-15 -4.9640E-16 2.4220E-14 -1.3929E-12 -1.8755E-13 2.2979E-13 -1.4701E-15 1.0575E-15 8.0042E-14 2.2852E-12 -1.0211E-15 -1.4701E-15 2.2306E-13 -5.7084E-14 -8.8595E-15 -1.9299E-14 -4.9640E-16 1.0575E-15 -5.7084E-14 2.0111E-14 1.0967E-15 1.1798E-14 2.4220E-14 8.0042E-14 -8.8595E-15 1.0967E-15 3.4790E-13 9.9769E-13 -1.3929E-12 2.2852E-12 -1.9299E-14 1.1798E-14 9.9769E-13 2.4954E-11 # lat0 lon0 xBary yBary zBary JD0 -6.814988 7.259572 -0.215085 -0.115447 -0.967057 2456578.726128 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 236.67587 +/- 0.103 Argument of Peri: 43.25005 +/- 0.096 Long of Asc Node: 96.55468 +/- 0.004 Inclination: 6.67940 +/- 0.000 Eccentricity: 0.10055850 +/- 0.0002 Semi-Major Axis: 45.68315864 +/- 0.0047 Time of Perihelion: 2495213.2546 +/- 34.2 Perihelion: 41.08932856 +/- 0.0103 Aphelion: 50.27698873 +/- 0.0107 Period (y) 308.7752 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 47.75991973 +/- 0.0013 Ecliptic Y 6.30392244 +/- 0.0002 Ecliptic Z -5.64080707 +/- 0.0002 Ecliptic XDOT -0.00049892 +/- 0.0000 Ecliptic YDOT 0.00233979 +/- 0.0000 Ecliptic ZDOT 0.00002677 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.50333111 +/- 0.0013 Geocenter to KBO 47.53588090 +/- 0.0013 # Hcoef: 6.50
The following table shows the complete astrometric record for 13VL46. 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 (13VL46) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.22535 00 37 25.921 -03 22 48.84 22.2i 13VL46 W84 C~4yRU 2013 10 13.22672 00 37 25.913 -03 22 48.78 23.0z 13VL46 W84 C~4yRU 2013 11 08.15030 00 35 53.97 -03 30 50.2 23.1r 13VL46 W84 C~3clY 2013 11 23.13775 00 35 14.139 -03 33 21.44 23.2i 13VL46 W84 C~4yRU 2014 11 13.12689 00 39 30.528 -03 06 58.90 23.4r 13VL46 W84 C~4yRU 2014 11 14.08439 00 39 27.799 -03 07 10.14 23.3i 13VL46 W84 C~4yRU 2014 11 15.12598 00 39 24.872 -03 07 21.69 23.3i 13VL46 W84 C~4yRU 2015 12 05.11010 00 42 31.271 -02 44 34.97 23.5r 13VL46 W84 C~4yRU 2016 08 26.31312 00 51 55.597 -01 47 25.66 23.7r 13VL46 W84 C~4yRU 2016 08 26.31450 00 51 55.584 -01 47 25.70 23.0i 13VL46 W84 C~4yRU 2016 09 01.38530 00 51 37.409 -01 49 53.07 24.7g 13VL46 W84 C~4yRU 2016 11 05.20077 00 47 36.025 -02 15 11.84 23.2i 13VL46 W84 C~4yRU 2016 11 05.20218 00 47 36.009 -02 15 11.97 23.6r 13VL46 W84 C~4yRU 2016 11 08.15510 00 47 26.326 -02 15 57.02 22.7i 13VL46 W84 C~4yRU 2016 11 18.07584 00 46 56.867 -02 18 00.67 24.2g 13VL46 W84 C~4yRU 2016 11 18.15569 00 46 56.659 -02 18 01.59 22.5z 13VL46 W84 C~4yRU 2017 09 14.31403 00 54 47.174 -01 29 55.80 22.5z 13VL46 W84 C~4yRU 2017 09 24.28696 00 54 09.879 -01 34 15.29 23.5r 13VL46 W84 C~4yRU 2018 10 10.27061 00 57 01.538 -01 15 23.95 23.2r 13VL46 W84 C~4yRU 2018 10 10.27199 00 57 01.534 -01 15 23.80 22.6i 13VL46 W84 C~4yRU 2018 10 19.15204 00 56 26.330 -01 18 51.06 22.9z 13VL46 W84 C~4yRU 2018 11 06.20373 00 55 19.414 -01 24 43.98 23.3r 13VL46 W84 C~4yRU 2018 11 06.20510 00 55 19.413 -01 24 44.11 22.9i 13VL46 W84 C~4yRU 2018 11 27.09025 00 54 18.483 -01 28 51.53 24.6g 13VL46 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 -0.03 0.00 -0.04
2 0.0000 0.00 -0.07 0.00 0.05
3 0.0710 0.00 0.04 0.00 -0.02
4 0.1120 0.00 0.03 0.00 0.04
5 1.0839 0.00 -0.01 0.00 -0.02
6 1.0865 0.00 0.06 0.00 -0.08
7 1.0894 0.00 0.00 0.00 0.04
8 2.1434 0.00 0.06 0.00 0.11
9 2.8695 0.00 0.09 0.00 -0.03
10 2.8695 0.00 -0.05 0.00 -0.04
11 2.8861 0.00 0.01 0.00 -0.15
12 3.0636 0.00 0.05 0.00 0.05
13 3.0636 0.00 -0.11 0.00 -0.06
14 3.0717 0.00 -0.12 0.00 0.02
15 3.0988 0.00 -0.07 0.00 0.14
16 3.0991 0.00 0.12 0.00 0.03
17 3.9208 0.00 0.10 0.00 0.13
18 3.9481 0.00 0.07 0.00 -0.06
19 4.9912 0.00 0.02 0.00 -0.06
20 4.9912 0.00 0.04 0.00 0.13
21 5.0155 0.00 -0.08 0.00 -0.00
22 5.0650 0.00 -0.01 0.00 -0.01
23 5.0650 0.00 0.04 0.00 -0.12
24 5.1221 0.00 -0.03 0.00 0.02
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.
13VL46 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.936 45.936 45.936 ecceobj 0.095 0.095 0.095 incobj 6.681 6.681 6.681 qmin 40.306 40.290 40.320 qmax 51.389 51.401 51.369 amean 45.701 45.701 45.701 amin 45.325 45.325 45.332 amax 46.101 46.108 46.099 emean 0.102 0.102 0.102 emin 0.089 0.089 0.089 emax 0.115 0.116 0.115 imean 5.031 5.031 5.031 imin 4.583 4.583 4.583 imax 5.533 5.532 5.534 excite_mean 0.134 0.134 0.134 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 174.5 174.6 174.7 kozaiamp 180.0 180.0 180.0