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: 13VO46 # Created Sun Dec 22 02:09:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 5.06y # First observation: 2013/11/08 # Last observation: 2018/12/01 # Chi-squared of fit: 7.79 DOF: 34 RMS: 0.11 # Min/Max residuals: -0.19 0.35 # Exact a, adot, b, bdot, g, gdot: 1.879280E-05 3.357566E-02 5.011627E-07 4.939245E-04 2.880468E-02 -5.177206E-03 # Covariance matrix: 5.6369E-13 -3.9289E-13 6.8204E-15 -6.6776E-15 -8.3436E-14 -1.7650E-12 -3.9289E-13 4.3103E-13 -1.0301E-14 8.9155E-15 1.3283E-13 2.3473E-12 6.8204E-15 -1.0301E-14 3.3847E-13 -9.4118E-14 -1.6210E-14 -6.1776E-14 -6.6776E-15 8.9155E-15 -9.4118E-14 3.3832E-14 3.4046E-15 5.2691E-14 -8.3436E-14 1.3283E-13 -1.6210E-14 3.4046E-15 2.7097E-13 8.0114E-13 -1.7650E-12 2.3473E-12 -6.1776E-14 5.2691E-14 8.0114E-13 1.3865E-11 # lat0 lon0 xBary yBary zBary JD0 -12.012850 31.475962 -0.242434 -0.199540 -0.938413 2456604.727958 # Heliocentric elements and errors Epoch: 2456604.5000 = 2013/11/08 Mean Anomaly: 339.35112 +/- 0.012 Argument of Peri: 312.97366 +/- 0.024 Long of Asc Node: 117.18787 +/- 0.002 Inclination: 11.72974 +/- 0.000 Eccentricity: 0.29524999 +/- 0.0001 Semi-Major Axis: 48.10309059 +/- 0.0052 Time of Perihelion: 2463594.0923 +/- 19.2 Perihelion: 33.90065345 +/- 0.0057 Aphelion: 62.30552772 +/- 0.0081 Period (y) 333.6320 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.65061073 +/- 0.0005 Ecliptic Y 18.44062493 +/- 0.0003 Ecliptic Z -7.22563899 +/- 0.0001 Ecliptic XDOT -0.00207465 +/- 0.0000 Ecliptic YDOT 0.00247383 +/- 0.0000 Ecliptic ZDOT 0.00014848 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.65714517 +/- 0.0005 Geocenter to KBO 34.71671540 +/- 0.0006 # Hcoef: 7.74
The following table shows the complete astrometric record for 13VO46. 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 (13VO46) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.22718 02 13 51.06 +00 41 54.6 22.9r 13VO46 W84 C~3clY 2013 11 08.24587 02 13 50.962 +00 41 54.15 23.2i 13VO46 W84 C~4yRU 2014 10 21.24508 02 22 42.238 +01 30 41.36 23.1g 13VO46 W84 C~4yRU 2014 10 21.24648 02 22 42.198 +01 30 41.00 22.9r 13VO46 W84 C~4yRU 2015 01 21.04313 02 17 24.024 +01 23 24.30 23.3r 13VO46 W84 C~4yRU 2015 01 22.03702 02 17 24.523 +01 23 49.15 22.7z 13VO46 W84 C~4yRU 2015 12 17.13495 02 25 28.214 +01 56 26.60 23.4r 13VO46 W84 C~4yRU 2015 12 17.13631 02 25 28.207 +01 56 26.38 23.5i 13VO46 W84 C~4yRU 2016 09 09.40706 02 40 14.073 +03 14 09.55 22.6i 13VO46 W84 C~4yRU 2016 09 10.36578 02 40 11.603 +03 13 41.89 23.1r 13VO46 W84 C~4yRU 2016 11 07.17788 02 35 51.066 +02 45 39.00 23.1i 13VO46 W84 C~4yRU 2016 11 07.17925 02 35 51.058 +02 45 38.86 22.1z 13VO46 W84 C~4yRU 2016 11 07.18063 02 35 51.048 +02 45 38.96 23.2r 13VO46 W84 C~4yRU 2017 09 18.32668 02 47 13.489 +03 51 07.49 22.9i 13VO46 W84 C~4yRU 2017 09 18.32804 02 47 13.499 +03 51 07.53 23.4r 13VO46 W84 C~4yRU 2017 10 30.23247 02 44 02.757 +03 30 34.84 22.5i 13VO46 W84 C~4yRU 2018 01 05.06124 02 39 13.135 +03 20 26.12 23.3r 13VO46 W84 C~4yRU 2018 01 05.06261 02 39 13.139 +03 20 26.26 24.5g 13VO46 W84 C~4yRU 2018 12 01.16418 02 48 44.973 +04 01 59.56 23.3r 13VO46 W84 C~4yRU 2018 12 01.16555 02 48 44.967 +04 01 59.63 24.5g 13VO46 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 -0.07
2 0.0001 0.00 -0.05 0.00 -0.11
3 0.9501 0.00 0.35 0.00 0.33
4 0.9501 0.00 -0.14 0.00 0.01
5 1.2014 0.00 -0.03 0.00 -0.10
6 1.2041 0.00 0.16 0.00 0.08
7 2.1052 0.00 -0.10 0.00 0.03
8 2.1052 0.00 -0.14 0.00 -0.19
9 2.8369 0.00 -0.04 0.00 0.10
10 2.8395 0.00 -0.03 0.00 -0.07
11 2.9978 0.00 0.03 0.00 0.03
12 2.9978 0.00 0.02 0.00 -0.08
13 2.9978 0.00 -0.01 0.00 0.05
14 3.8606 0.00 -0.11 0.00 -0.08
15 3.8606 0.00 0.10 0.00 -0.00
16 3.9754 0.00 0.01 0.00 0.08
17 4.1583 0.00 -0.01 0.00 -0.02
18 4.1583 0.00 0.09 0.00 0.10
19 5.0621 0.00 0.02 0.00 -0.07
20 5.0621 0.00 0.04 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.
13VO46 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.398 48.398 48.399 ecceobj 0.297 0.297 0.297 incobj 11.731 11.731 11.731 qmin 32.675 32.674 32.671 qmax 63.888 63.931 63.890 amean 47.797 47.797 47.797 amin 47.221 47.222 47.220 amax 48.479 48.501 48.477 emean 0.295 0.295 0.295 emin 0.273 0.273 0.273 emax 0.318 0.318 0.318 imean 9.224 9.230 9.216 imin 8.123 8.131 8.114 imax 10.652 10.640 10.654 excite_mean 0.336 0.336 0.336 fracstop 1.000 1.000 1.000 cjmean 3.006 3.006 3.006 libcent 0 77.2 77.4 77.8 libamp 0 35.2 35.3 35.2 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 183.1 183.6 182.7 kozaiamp 180.0 180.0 180.0