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: 13VR46 # Created Sun Dec 22 02:09:51 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 4.12y # First observation: 2013/10/04 # Last observation: 2017/11/16 Preliminary a, adot, b, bdot, g, gdot: 0.000172 0.028398 -0.000017 0.003626 0.027479 0.000000 # Chi-squared of fit: 3.41 DOF: 32 RMS: 0.07 # Min/Max residuals: -0.20 0.14 # Exact a, adot, b, bdot, g, gdot: 1.599267E-05 2.879507E-02 2.245707E-06 3.683604E-03 2.762996E-02 4.288194E-03 # Covariance matrix: 5.0734E-13 -1.8777E-13 -8.2351E-15 -1.2242E-14 2.5028E-13 -9.6898E-13 -1.8777E-13 4.3909E-13 -3.8275E-14 6.3357E-14 2.0008E-13 4.0083E-12 -8.2351E-15 -3.8275E-14 2.6462E-13 -8.7692E-14 -4.4370E-14 -3.8887E-13 -1.2242E-14 6.3357E-14 -8.7692E-14 4.6710E-14 3.7740E-14 6.3292E-13 2.5028E-13 2.0008E-13 -4.4370E-14 3.7740E-14 5.1793E-13 2.1192E-12 -9.6898E-13 4.0083E-12 -3.8887E-13 6.3292E-13 2.1192E-12 3.9961E-11 # lat0 lon0 xBary yBary zBary JD0 -12.155344 29.290930 0.315812 -0.199742 -0.927893 2456569.790198 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 57.92821 +/- 0.021 Argument of Peri: 226.68805 +/- 0.033 Long of Asc Node: 87.52015 +/- 0.001 Inclination: 13.78896 +/- 0.000 Eccentricity: 0.14934482 +/- 0.0002 Semi-Major Axis: 39.54721859 +/- 0.0048 Time of Perihelion: 2441943.4437 +/- 4.4 Perihelion: 33.64104633 +/- 0.0096 Aphelion: 45.45339085 +/- 0.0103 Period (y) 248.7036 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.83917167 +/- 0.0008 Ecliptic Y 17.50192529 +/- 0.0004 Ecliptic Z -7.62077680 +/- 0.0002 Ecliptic XDOT -0.00097282 +/- 0.0000 Ecliptic YDOT 0.00272796 +/- 0.0000 Ecliptic ZDOT 0.00026749 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.12312595 +/- 0.0007 Geocenter to KBO 36.19260114 +/- 0.0009 # Hcoef: 7.22
The following table shows the complete astrometric record for 13VR46. 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 (13VR46) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.28942 02 06 01.132 -00 10 06.54 24.3g 13VR46 W84 C~4yRU 2013 11 13.19469 02 02 38.42 -00 26 45.9 22.5z 13VR46 W84 C~3clY 2013 12 20.12820 02 00 15.937 -00 29 55.60 22.7i 13VR46 W84 C~4yRU 2013 12 20.12959 02 00 15.921 -00 29 55.68 22.3z 13VR46 W84 C~4yRU 2014 10 21.29169 02 10 30.426 +00 27 51.39 22.8r 13VR46 W84 C~4yRU 2014 10 29.27403 02 09 48.883 +00 24 28.18 23.1g 13VR46 W84 C~4yRU 2014 12 16.13070 02 06 16.998 +00 15 12.99 22.8i 13VR46 W84 C~4yRU 2015 01 19.04890 02 05 30.742 +00 23 17.78 22.1z 13VR46 W84 C~4yRU 2015 12 17.13079 02 12 01.531 +01 00 25.24 22.8i 13VR46 W84 C~4yRU 2016 09 09.40296 02 25 01.924 +02 18 12.54 22.2i 13VR46 W84 C~4yRU 2016 10 22.22761 02 22 00.068 +01 58 02.44 22.5z 13VR46 W84 C~4yRU 2016 10 27.25479 02 21 34.044 +01 55 55.32 22.8i 13VR46 W84 C~4yRU 2016 10 27.25618 02 21 34.034 +01 55 55.30 23.1r 13VR46 W84 C~4yRU 2016 12 07.08806 02 18 18.296 +01 45 24.60 22.8i 13VR46 W84 C~4yRU 2016 12 23.05524 02 17 26.373 +01 45 36.46 24.0g 13VR46 W84 C~4yRU 2017 11 01.16993 02 26 54.165 +02 38 49.60 22.4z 13VR46 W84 C~4yRU 2017 11 16.17234 02 25 37.061 +02 33 50.48 23.1r 13VR46 W84 C~4yRU 2017 11 16.17372 02 25 37.047 +02 33 50.49 22.8i 13VR46 W84 C~4yRU 2017 11 16.17509 02 25 37.048 +02 33 50.41 24.0g 13VR46 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 0.10 0.00 -0.03
2 0.1093 -3198.75 -0.00 117.47 -0.20
3 0.2104 -5269.97 0.08 680.92 0.04
4 0.2104 -5270.23 -0.12 680.93 0.02
5 1.0459 4579.54 0.14 735.27 0.03
6 1.0677 3924.33 -0.12 760.81 0.06
7 1.1987 750.38 -0.02 1342.62 0.00
8 1.2916 267.81 -0.07 2038.05 0.10
9 2.2008 6540.42 0.08 2094.70 0.03
10 2.9325 19187.17 -0.07 2427.57 0.00
11 3.0498 16188.74 -0.11 2232.22 0.06
12 3.0636 15776.24 0.01 2247.78 0.01
13 3.0636 15776.09 -0.03 2247.81 0.04
14 3.1754 12790.28 0.04 2671.55 0.05
15 3.2191 12061.48 -0.02 2952.48 -0.06
16 4.0763 21212.69 -0.11 3011.97 -0.08
17 4.1174 20013.18 0.10 3129.74 -0.04
18 4.1174 20012.99 0.01 3129.82 0.03
19 4.1174 20012.97 0.11 3129.74 -0.06
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.
13VR46 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.780 39.795 39.764 ecceobj 0.154 0.155 0.154 incobj 13.797 13.797 13.797 qmin 32.775 32.816 32.803 qmax 46.637 46.570 46.504 amean 39.457 39.457 39.456 amin 39.068 39.046 39.076 amax 39.885 39.906 39.884 emean 0.147 0.146 0.147 emin 0.128 0.126 0.130 emax 0.170 0.169 0.168 imean 12.552 12.580 12.523 imin 11.634 11.628 11.613 imax 13.501 13.543 13.457 excite_mean 0.262 0.262 0.262 fracstop 1.000 1.000 1.000 cjmean 2.974 2.974 2.974 libcent 0 180.0 180.5 181.0 libamp 0 65.1 70.7 60.4 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 181.4 181.3 181.2 kozaiamp 180.0 179.9 180.0