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: 13VD24 # Created Fri Apr 26 01:15:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 10.41y # First observation: 2005/09/10 # Last observation: 2016/02/09 # Chi-squared of fit: 26.81 DOF: 40 RMS: 0.19 # Min/Max residuals: -0.45 0.34 # Exact a, adot, b, bdot, g, gdot: 1.449799E-05 1.821230E-02 4.333975E-07 1.063065E-03 2.031025E-02 3.467585E-03 # Covariance matrix: 3.5058E-13 -1.0822E-13 1.5177E-14 -1.1800E-14 9.0215E-14 -6.1305E-13 -1.0822E-13 1.1330E-13 -9.7879E-15 8.5972E-15 6.7479E-14 6.5291E-13 1.5177E-14 -9.7879E-15 2.3440E-13 -2.7702E-14 1.3458E-14 -7.5488E-14 -1.1800E-14 8.5972E-15 -2.7702E-14 5.3158E-15 -8.0046E-15 6.2989E-14 9.0215E-14 6.7479E-14 1.3458E-14 -8.0046E-15 3.9318E-13 9.8217E-14 -6.1305E-13 6.5291E-13 -7.5488E-14 6.2989E-14 9.8217E-14 4.1702E-12 # lat0 lon0 xBary yBary zBary JD0 -19.017347 25.669248 0.617784 -0.260511 -0.756162 2453624.050466 # Heliocentric elements and errors Epoch: 2453624.5000 = 2005/09/11 Mean Anomaly: 63.17655 +/- 0.023 Argument of Peri: 195.35839 +/- 0.027 Long of Asc Node: 105.53340 +/- 0.001 Inclination: 18.95493 +/- 0.000 Eccentricity: 0.18253067 +/- 0.0001 Semi-Major Axis: 52.77934780 +/- 0.0076 Time of Perihelion: 2429046.4249 +/- 10.4 Perihelion: 43.14549795 +/- 0.0089 Aphelion: 62.41319765 +/- 0.0110 Period (y) 383.4460 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.93900167 +/- 0.0013 Ecliptic Y 19.95264048 +/- 0.0006 Ecliptic Z -16.04381149 +/- 0.0005 Ecliptic XDOT -0.00062120 +/- 0.0000 Ecliptic YDOT 0.00241774 +/- 0.0000 Ecliptic ZDOT -0.00001681 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.99257173 +/- 0.0012 Geocenter to KBO 49.23612220 +/- 0.0015 # Hcoef: 7.70
The following table shows the complete astrometric record for 13VD24. 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 (13VD24) followed by the observatory code and reference code for the source of the astrometry.
2005 09 10.549723 02 02 40.92 -07 49 12.3 13VD24 568 C~5Rzf 2005 09 10.556086 02 02 40.91 -07 49 12.5 13VD24 568 C~5Rzf 2005 09 10.604954 02 02 40.78 -07 49 14.1 13VD24 568 C~5Rzf 2006 11 20.423121 02 02 15.92 -07 47 56.3 13VD24 568 C~5Rzf 2006 11 20.446292 02 02 15.83 -07 47 56.5 13VD24 568 C~5Rzf 2006 11 20.469429 02 02 15.75 -07 47 56.8 13VD24 568 C~5Rzf 2008 09 01.544389 02 14 20.57 -06 27 12.5 13VD24 568 C~5Rzf 2008 09 01.550784 02 14 20.55 -06 27 12.7 13VD24 568 C~5Rzf 2013 11 06.225937 02 29 13.70 -04 44 43.6 24.9z 13VD24 W84 C~1Yeo 2013 11 07.058623 02 29 10.45 -04 44 56.0 25.1r 13VD24 W84 C~1Yeo 2013 12 01.094363 02 27 42.32 -04 48 25.1 24.2z 13VD24 W84 C~1Yeo 2013 12 01.168310 02 27 42.05 -04 48 25.2 25.2r 13VD24 W84 C~1Yeo 2013 12 20.096412 02 26 47.98 -04 47 32.2 24.5i 13VD24 W84 C~1Yeo 2014 01 04.113519 02 26 20.10 -04 44 31.2 24.8i 13VD24 W84 C~1Yeo 2014 01 05.050868 02 26 18.88 -04 44 16.1 24.9r 13VD24 W84 C~1Yeo 2014 02 04.069352 02 26 14.61 -04 32 43.5 24.1i 13VD24 W84 C~1Yeo 2016 01 07.217767 02 33 23.96 -03 53 49.6 24.5r 13VD24 568 C~5Rzf 2016 01 07.221582 02 33 23.96 -03 53 49.4 13VD24 568 C~5Rzf 2016 01 07.225397 02 33 23.96 -03 53 49.3 13VD24 568 C~5Rzf 2016 01 07.229212 02 33 23.95 -03 53 49.5 13VD24 568 C~5Rzf 2016 02 09.272602 02 33 22.50 -03 41 03.0 13VD24 568 C~5Rzf 2016 02 09.289518 02 33 22.51 -03 41 02.6 13VD24 568 C~5Rzf 2016 02 09.297620 02 33 22.51 -03 41 02.4 13VD24 568 C~5Rzf
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 -0.09 0.00 0.05
2 0.0000 0.00 0.02 0.00 0.04
3 0.0002 0.00 0.04 0.00 -0.12
4 1.1934 0.00 0.10 0.00 -0.06
5 1.1934 0.00 -0.01 0.00 -0.13
6 1.1935 0.00 0.03 0.00 -0.29
7 2.9760 0.00 0.27 0.00 0.12
8 2.9760 0.00 0.16 0.00 0.10
9 8.1552 0.00 -0.15 0.00 0.30
10 8.1575 0.00 -0.40 0.00 0.16
11 8.2233 0.00 -0.14 0.00 0.18
12 8.2235 0.00 -0.45 0.00 0.26
13 8.2753 0.00 -0.18 0.00 0.16
14 8.3164 0.00 -0.15 0.00 0.29
15 8.3190 0.00 -0.13 0.00 0.20
16 8.4011 0.00 -0.01 0.00 -0.01
17 10.3235 0.00 0.07 0.00 -0.26
18 10.3235 0.00 0.15 0.00 -0.13
19 10.3235 0.00 0.23 0.00 -0.09
20 10.3236 0.00 0.16 0.00 -0.35
21 10.4140 0.00 0.34 0.00 -0.06
22 10.4141 0.00 0.19 0.00 -0.15
23 10.4141 0.00 0.05 0.00 -0.18
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.
13VD24 quality flag:2 Type: SCATEXTD SCATNEAR SCATEXTD axisobj 53.537 53.537 53.536 ecceobj 0.186 0.186 0.186 incobj 18.950 18.950 18.950 qmin 42.318 42.305 42.312 qmax 64.445 64.496 64.430 amean 53.116 53.116 53.115 amin 52.637 52.613 52.625 amax 53.690 53.689 53.682 emean 0.188 0.188 0.188 emin 0.176 0.176 0.176 emax 0.201 0.202 0.201 imean 17.178 17.178 17.178 imin 16.856 16.853 16.854 imax 17.496 17.499 17.489 excite_mean 0.350 0.350 0.350 fracstop 1.000 1.000 1.000 cjmean 3.059 3.059 3.059 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 182.8 182.9 182.9 kozaiamp 180.0 180.0 179.9