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: 13VN46 # Created Sun Dec 22 02:09:51 2024 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 4.07y # First observation: 2013/10/03 # Last observation: 2017/10/30 Preliminary a, adot, b, bdot, g, gdot: 0.000092 0.041769 0.000005 0.000017 0.033554 0.000000 # Chi-squared of fit: 9.92 DOF: 52 RMS: 0.10 # Min/Max residuals: -0.18 0.31 # Exact a, adot, b, bdot, g, gdot: 2.061893E-05 4.221961E-02 -3.051460E-07 3.003694E-05 3.374900E-02 4.223665E-03 # Covariance matrix: 2.6348E-13 -1.2539E-13 -8.5061E-16 -3.9129E-16 1.5089E-13 -3.7288E-13 -1.2539E-13 2.8506E-13 -8.2645E-16 2.7536E-16 1.8366E-13 1.6589E-12 -8.5061E-16 -8.2645E-16 1.5305E-13 -5.2334E-14 -3.0388E-15 -6.4780E-15 -3.9129E-16 2.7536E-16 -5.2334E-14 2.6926E-14 -5.1221E-16 1.4324E-15 1.5089E-13 1.8366E-13 -3.0388E-15 -5.1221E-16 5.8910E-13 1.3985E-12 -3.7288E-13 1.6589E-12 -6.4780E-15 1.4324E-15 1.3985E-12 1.0764E-11 # lat0 lon0 xBary yBary zBary JD0 -7.999871 23.044614 0.230085 -0.135434 -0.964412 2456568.639458 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 16.25034 +/- 0.012 Argument of Peri: 242.49968 +/- 0.022 Long of Asc Node: 113.01736 +/- 0.002 Inclination: 7.74594 +/- 0.000 Eccentricity: 0.24203858 +/- 0.0001 Semi-Major Axis: 39.50320259 +/- 0.0044 Time of Perihelion: 2452466.8854 +/- 3.1 Perihelion: 29.94190342 +/- 0.0044 Aphelion: 49.06450177 +/- 0.0062 Period (y) 248.2885 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.98621216 +/- 0.0006 Ecliptic Y 11.65842117 +/- 0.0003 Ecliptic Z -4.12373413 +/- 0.0001 Ecliptic XDOT -0.00103434 +/- 0.0000 Ecliptic YDOT 0.00328330 +/- 0.0000 Ecliptic ZDOT -0.00004513 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.59660174 +/- 0.0006 Geocenter to KBO 29.63050742 +/- 0.0007 # Hcoef: 8.46
The following table shows the complete astrometric record for 13VN46. 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 (13VN46) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.13868 01 37 06.574 +01 31 08.08 24.3g 13VN46 W84 C~4yRU 2013 11 04.06065 01 33 58.64 +01 13 14.5 13VN46 W84 C~3clY 2013 11 04.12406 01 33 58.27 +01 13 12.8 23.2r 13VN46 W84 C~3clY 2013 11 04.20651 01 33 57.79 +01 13 10.4 13VN46 W84 C~3clY 2013 11 08.21815 01 33 35.39 +01 11 24.6 23.5r 13VN46 W84 C~3clY 2013 11 08.22131 01 33 35.358 +01 11 24.75 22.4i 13VN46 W84 C~4yRU 2014 10 02.32718 01 46 10.784 +02 24 40.38 23.8g 13VN46 W84 C~4yRU 2014 10 02.32856 01 46 10.766 +02 24 40.48 23.6r 13VN46 W84 C~4yRU 2014 10 21.27213 01 44 19.938 +02 13 26.44 23.1r 13VN46 W84 C~4yRU 2014 10 21.27352 01 44 19.931 +02 13 26.28 24.2g 13VN46 W84 C~4yRU 2014 10 21.27489 01 44 19.918 +02 13 26.37 22.8i 13VN46 W84 C~4yRU 2014 10 28.22157 01 43 38.346 +02 09 41.05 23.3r 13VN46 W84 C~4yRU 2014 10 28.22734 01 43 38.303 +02 09 41.30 23.3g 13VN46 W84 C~4yRU 2015 11 06.17683 01 51 41.454 +02 57 43.60 22.7r 13VN46 W84 C~4yRU 2015 11 06.17819 01 51 41.459 +02 57 43.36 23.0i 13VN46 W84 C~4yRU 2015 11 06.17955 01 51 41.461 +02 57 43.40 24.3g 13VN46 W84 C~4yRU 2015 12 18.11041 01 48 32.941 +02 47 23.32 23.1z 13VN46 W84 C~4yRU 2015 12 18.11179 01 48 32.939 +02 47 23.26 23.2i 13VN46 W84 C~4yRU 2016 09 09.29496 02 05 37.135 +04 20 45.40 23.3r 13VN46 W84 C~4yRU 2016 09 09.29635 02 05 37.131 +04 20 45.36 23.2i 13VN46 W84 C~4yRU 2016 10 23.20859 02 01 50.448 +03 55 55.29 23.1r 13VN46 W84 C~4yRU 2016 10 28.23573 02 01 20.193 +03 53 15.86 23.1i 13VN46 W84 C~4yRU 2016 10 28.23711 02 01 20.189 +03 53 15.81 23.1g 13VN46 W84 C~4yRU 2016 11 04.21137 02 00 38.545 +03 49 49.14 23.6r 13VN46 W84 C~4yRU 2017 09 18.30162 02 13 44.619 +05 06 11.45 23.4r 13VN46 W84 C~4yRU 2017 09 18.30299 02 13 44.604 +05 06 11.31 23.3i 13VN46 W84 C~4yRU 2017 09 18.30931 02 13 44.595 +05 06 11.10 24.4g 13VN46 W84 C~4yRU 2017 10 22.22735 02 10 44.161 +04 47 15.15 23.2r 13VN46 W84 C~4yRU 2017 10 30.24741 02 09 55.888 +04 43 04.21 22.7z 13VN46 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 -0.17 0.00 0.07
2 0.0874 -3015.79 0.08 33.41 -0.05
3 0.0876 -3021.58 0.04 33.87 0.01
4 0.0878 -3029.16 -0.05 34.27 -0.10
5 0.0988 -3380.57 0.14 58.95 -0.18
6 0.0988 -3380.96 0.03 59.26 0.11
7 0.9971 8773.19 0.07 7.45 -0.14
8 0.9971 8772.97 -0.02 7.65 0.05
9 1.0490 6977.86 0.04 -13.51 0.02
10 1.0490 6977.71 0.02 -13.62 -0.09
11 1.0490 6977.56 0.00 -13.47 0.06
12 1.0680 6314.50 -0.17 4.39 -0.13
13 1.0680 6313.99 -0.13 4.86 0.31
14 2.0918 14126.53 -0.06 49.00 0.27
15 2.0918 14126.51 0.05 48.75 0.01
16 2.0918 14126.55 0.22 48.78 0.03
17 2.2066 11259.57 -0.02 500.41 0.06
18 2.2066 11259.52 -0.02 500.37 -0.01
19 2.9354 27734.29 0.02 163.31 -0.06
20 2.9354 27734.22 0.04 163.30 -0.07
21 3.0556 23975.42 -0.07 -4.15 -0.09
22 3.0694 23489.28 -0.00 10.95 -0.10
23 3.0694 23489.21 0.06 10.92 -0.13
24 3.0885 22825.14 0.01 43.80 0.07
25 3.9594 35699.35 0.05 91.70 0.08
26 3.9594 35699.08 -0.11 91.65 0.04
27 3.9594 35698.87 0.15 91.50 -0.07
28 4.0523 32694.05 -0.16 -4.92 -0.10
29 4.0742 31911.73 -0.00 20.02 0.13
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.
13VN46 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.751 39.765 39.738 ecceobj 0.247 0.248 0.247 incobj 7.747 7.747 7.747 qmin 29.154 29.172 29.157 qmax 50.264 50.376 50.296 amean 39.455 39.455 39.455 amin 38.981 38.976 38.974 amax 40.008 39.999 40.005 emean 0.237 0.238 0.237 emin 0.213 0.212 0.212 emax 0.260 0.261 0.260 imean 6.219 6.211 6.235 imin 4.867 4.859 4.887 imax 7.578 7.574 7.586 excite_mean 0.262 0.262 0.262 fracstop 1.000 1.000 1.000 cjmean 2.974 2.974 2.974 libcent 0 179.8 180.1 180.0 libamp 0 92.0 92.3 93.3 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 270.2 270.2 270.2 kozaiamp 41.3 41.2 41.0