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: 13VQ46 # Created Sat Apr 20 01:15:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 9.05y # First observation: 2013/11/08 # Last observation: 2022/11/28 # Chi-squared of fit: 2.65 DOF: 20 RMS: 0.08 # Min/Max residuals: -0.11 0.15 # Exact a, adot, b, bdot, g, gdot: 1.557214E-05 2.704993E-02 2.195212E-06 3.129894E-03 2.697369E-02 6.364175E-03 # Covariance matrix: 4.7722E-13 -4.0879E-13 3.4930E-14 -4.5090E-14 8.9531E-14 -1.6374E-12 -4.0879E-13 6.0623E-13 -5.7758E-14 7.2859E-14 -5.8888E-13 2.6245E-12 3.4930E-14 -5.7758E-14 2.1420E-13 -3.8154E-14 7.3471E-14 -2.5593E-13 -4.5090E-14 7.2859E-14 -3.8154E-14 1.9329E-14 -8.2707E-14 3.2191E-13 8.9531E-14 -5.8888E-13 7.3471E-14 -8.2707E-14 3.3383E-12 -2.8506E-12 -1.6374E-12 2.6245E-12 -2.5593E-13 3.2191E-13 -2.8506E-12 1.1584E-11 # lat0 lon0 xBary yBary zBary JD0 -6.935919 24.449409 -0.357736 -0.111275 -0.915894 2456604.713248 # Heliocentric elements and errors Epoch: 2456604.5000 = 2013/11/08 Mean Anomaly: 68.31714 +/- 0.048 Argument of Peri: 218.60751 +/- 0.057 Long of Asc Node: 70.40938 +/- 0.001 Inclination: 9.46007 +/- 0.000 Eccentricity: 0.23722184 +/- 0.0001 Semi-Major Axis: 39.32678363 +/- 0.0137 Time of Perihelion: 2439509.9266 +/- 15.1 Perihelion: 29.99761173 +/- 0.0118 Aphelion: 48.65595552 +/- 0.0178 Period (y) 246.6271 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.19267003 +/- 0.0023 Ecliptic Y 15.94234500 +/- 0.0010 Ecliptic Z -4.47690085 +/- 0.0003 Ecliptic XDOT -0.00052388 +/- 0.0000 Ecliptic YDOT 0.00277896 +/- 0.0000 Ecliptic ZDOT 0.00023750 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.99116848 +/- 0.0021 Geocenter to KBO 37.07306332 +/- 0.0025 # Hcoef: 7.45
The following table shows the complete astrometric record for 13VQ46. 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 (13VQ46) followed by the observatory code and reference code for the source of the astrometry.
2013 11 08.21247 01 40 45.01 +03 01 02.1 22.9r 13VQ46 W84 C~3clY 2013 11 08.21676 01 40 44.98 +03 01 02.0 23.1i 13VQ46 W84 C~3clY 2014 10 21.27073 01 47 45.49 +03 51 48.0 23.0i 13VQ46 W84 C~3clY 2014 10 28.23602 01 47 10.12 +03 48 47.3 23.1r 13VQ46 W84 C~3clY 2014 10 29.23599 01 47 05.08 +03 48 22.4 22.9r 13VQ46 W84 C~3clY 2014 10 29.23735 01 47 05.06 +03 48 22.2 24.4g 13VQ46 W84 C~3clY 2014 10 29.24310 01 47 05.03 +03 48 22.2 22.7i 13VQ46 W84 C~3clY 2014 11 17.12820 01 45 34.38 +03 41 34.5 23.5g 13VQ46 W84 C~3clY 2015 11 18.17282 01 50 55.90 +04 23 57.6 23.4r 13VQ46 W84 C~3clY 2020 10 20.288900 02 19 30.438 +07 57 15.83 23.2G 13VQ46 G37 C~4Kw3 2020 10 20.341670 02 19 30.175 +07 57 14.63 13VQ46 G37 C~4Kw3 2022 11 28.078340 02 26 36.704 +09 00 13.37 23.2G 13VQ46 G37 C~675f 2022 11 28.181250 02 26 36.264 +09 00 11.74 13VQ46 G37 C~675f
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 0.08 0.00 -0.05
2 0.0000 0.00 -0.06 0.00 -0.06
3 0.9502 0.00 0.15 0.00 0.01
4 0.9693 0.00 0.01 0.00 0.03
5 0.9720 0.00 0.10 0.00 0.08
6 0.9720 0.00 -0.10 0.00 -0.09
7 0.9720 0.00 -0.11 0.00 0.05
8 1.0237 0.00 -0.03 0.00 -0.07
9 2.0259 0.00 -0.02 0.00 0.15
10 6.9489 0.00 -0.05 0.00 -0.05
11 6.9490 0.00 -0.02 0.00 0.05
12 9.0537 0.00 -0.11 0.00 -0.01
13 9.0540 0.00 0.15 0.00 -0.03
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.
13VQ46 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.578 39.578 39.578 ecceobj 0.241 0.241 0.241 incobj 9.461 9.461 9.461 qmin 28.885 28.882 28.887 qmax 50.804 50.809 50.793 amean 39.455 39.456 39.455 amin 38.970 38.972 38.969 amax 40.021 40.024 40.016 emean 0.238 0.238 0.238 emin 0.199 0.199 0.199 emax 0.269 0.269 0.269 imean 8.248 8.248 8.248 imin 6.385 6.384 6.386 imax 10.375 10.374 10.376 excite_mean 0.279 0.279 0.279 fracstop 1.000 1.000 1.000 cjmean 2.963 2.963 2.963 libcent 0 179.7 179.8 180.0 libamp 0 93.9 94.5 93.6 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 246.1 246.2 246.1 kozaiamp 64.6 64.4 64.6