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: 13WH123 # Created Wed Dec 4 02:09:48 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 5.08y # First observation: 2013/09/10 # Last observation: 2018/10/10 # Chi-squared of fit: 7.75 DOF: 58 RMS: 0.09 # Min/Max residuals: -0.24 0.21 # Exact a, adot, b, bdot, g, gdot: 1.515921E-05 2.360239E-02 -2.089533E-06 -1.996966E-03 2.389487E-02 2.474422E-03 # Covariance matrix: 3.7926E-13 -1.8468E-13 -1.1809E-14 1.1569E-14 1.6651E-13 -1.0804E-12 -1.8468E-13 2.3792E-13 1.3905E-14 -1.9997E-14 4.7179E-14 2.0421E-12 -1.1809E-14 1.3905E-14 1.5196E-13 -4.3897E-14 -1.1336E-15 1.2387E-13 1.1569E-14 -1.9997E-14 -4.3897E-14 1.9227E-14 -6.1622E-15 -1.8743E-13 1.6651E-13 4.7179E-14 -1.1336E-15 -6.1622E-15 2.9352E-13 7.7475E-13 -1.0804E-12 2.0421E-12 1.2387E-13 -1.8743E-13 7.7475E-13 1.9314E-11 # lat0 lon0 xBary yBary zBary JD0 -8.113208 8.737863 0.365531 -0.132440 -0.929758 2456545.844418 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 45.37885 +/- 0.035 Argument of Peri: 182.09789 +/- 0.052 Long of Asc Node: 130.26557 +/- 0.002 Inclination: 9.33603 +/- 0.000 Eccentricity: 0.11982630 +/- 0.0002 Semi-Major Axis: 46.29607898 +/- 0.0054 Time of Perihelion: 2442043.2353 +/- 11.4 Perihelion: 40.74859135 +/- 0.0097 Aphelion: 51.84356661 +/- 0.0104 Period (y) 315.0101 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.93363349 +/- 0.0009 Ecliptic Y 6.07844473 +/- 0.0001 Ecliptic Z -5.90637716 +/- 0.0001 Ecliptic XDOT -0.00017150 +/- 0.0000 Ecliptic YDOT 0.00270952 +/- 0.0000 Ecliptic ZDOT -0.00026639 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.78150500 +/- 0.0009 Geocenter to KBO 41.84995587 +/- 0.0009 # Hcoef: 7.00
The following table shows the complete astrometric record for 13WH123. 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 (13WH123) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.34364 00 44 53.044 -03 59 40.18 24.4g 13WH123 W84 C~4yRi 2013 10 04.15874 00 43 12.891 -04 11 37.60 23.8g 13WH123 W84 C~4yRi 2013 10 13.22535 00 42 33.390 -04 15 46.21 22.7i 13WH123 W84 C~4yRi 2013 11 23.13775 00 40 06.158 -04 27 37.63 23.0i 13WH123 W84 C~4yRi 2013 11 23.13775 00 40 06.16 -04 27 37.6 23.3i 13WH123 W84 C~3clj 2014 10 02.30370 00 48 31.609 -03 44 58.24 23.0i 13WH123 W84 C~4yRi 2014 10 02.30370 00 48 31.61 -03 44 58.3 22.8i 13WH123 W84 C~3clj 2014 11 14.05768 00 45 40.293 -04 00 43.42 23.3r 13WH123 W84 C~4yRi 2014 11 14.05768 00 45 40.29 -04 00 43.4 23.3r 13WH123 W84 C~3clj 2014 11 14.05905 00 45 40.297 -04 00 43.33 22.9i 13WH123 W84 C~4yRi 2014 11 14.05905 00 45 40.30 -04 00 43.3 23.2i 13WH123 W84 C~3clj 2014 11 15.05991 00 45 37.125 -04 00 55.69 23.4r 13WH123 W84 C~4yRi 2014 11 15.05991 00 45 37.13 -04 00 55.7 23.5r 13WH123 W84 C~3clj 2014 11 17.06151 00 45 30.98 -04 01 19.0 22.8r 13WH123 W84 C~3clj 2015 09 04.29349 00 55 32.420 -03 05 11.56 23.0i 13WH123 W84 C~4yRi 2016 08 26.36701 01 01 02.810 -02 35 47.03 23.3r 13WH123 W84 C~4yRi 2016 08 26.36701 01 01 02.81 -02 35 47.0 23.1r 13WH123 W84 C~3clj 2016 09 01.38668 01 00 44.018 -02 38 38.68 24.1g 13WH123 W84 C~4yRi 2016 10 29.23021 00 56 47.546 -03 05 28.11 23.4r 13WH123 W84 C~4yRi 2016 10 29.23157 00 56 47.538 -03 05 28.14 23.4i 13WH123 W84 C~4yRi 2016 11 06.12521 00 56 16.951 -03 07 59.28 23.2z 13WH123 W84 C~4yRi 2017 08 28.36267 01 05 59.629 -02 11 11.53 23.2r 13WH123 W84 C~4yRi 2017 08 28.36404 01 05 59.623 -02 11 11.60 22.8i 13WH123 W84 C~4yRi 2017 08 28.36542 01 05 59.612 -02 11 11.55 23.8g 13WH123 W84 C~4yRi 2017 09 14.31264 01 05 01.566 -02 19 25.84 23.3z 13WH123 W84 C~4yRi 2017 09 24.24772 01 04 21.812 -02 24 24.12 22.7i 13WH123 W84 C~4yRi 2017 09 24.24909 01 04 21.795 -02 24 24.16 23.2r 13WH123 W84 C~4yRi 2017 09 24.25052 01 04 21.786 -02 24 24.21 23.8g 13WH123 W84 C~4yRi 2017 09 26.32642 01 04 13.094 -02 25 26.01 23.1z 13WH123 W84 C~4yRi 2018 10 10.27473 01 08 16.607 -02 06 29.26 22.9i 13WH123 W84 C~4yRi 2018 10 10.27611 01 08 16.602 -02 06 29.20 23.3r 13WH123 W84 C~4yRi 2018 10 10.27748 01 08 16.614 -02 06 29.07 23.9g 13WH123 W84 C~4yRi
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 0.02 0.00 0.18
2 0.0652 0.00 0.09 0.00 0.06
3 0.0900 0.00 -0.00 0.00 -0.23
4 0.2020 0.00 -0.04 0.00 0.01
5 0.2020 0.00 -0.07 0.00 -0.02
6 1.0594 0.00 0.01 0.00 -0.00
7 1.0594 0.00 -0.01 0.00 0.06
8 1.1765 0.00 -0.04 0.00 -0.04
9 1.1765 0.00 0.01 0.00 -0.06
10 1.1765 0.00 0.18 0.00 0.08
11 1.1765 0.00 0.13 0.00 0.05
12 1.1792 0.00 0.03 0.00 0.02
13 1.1792 0.00 -0.04 0.00 0.03
14 1.1847 0.00 -0.14 0.00 -0.24
15 1.9821 0.00 -0.07 0.00 0.05
16 2.9597 0.00 -0.03 0.00 0.08
17 2.9597 0.00 -0.03 0.00 0.05
18 2.9762 0.00 -0.01 0.00 -0.07
19 3.1345 0.00 0.02 0.00 0.08
20 3.1345 0.00 -0.02 0.00 0.08
21 3.1561 0.00 0.07 0.00 0.01
22 3.9645 0.00 0.08 0.00 -0.01
23 3.9645 0.00 0.05 0.00 -0.04
24 3.9645 0.00 -0.05 0.00 0.05
25 4.0109 0.00 -0.12 0.00 -0.05
26 4.0381 0.00 0.20 0.00 -0.03
27 4.0381 0.00 0.03 0.00 -0.03
28 4.0381 0.00 -0.01 0.00 -0.03
29 4.0438 0.00 -0.13 0.00 0.01
30 5.0813 0.00 -0.08 0.00 -0.12
31 5.0813 0.00 -0.06 0.00 -0.02
32 5.0813 0.00 0.21 0.00 0.15
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.
13WH123 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.590 46.590 46.590 ecceobj 0.125 0.125 0.125 incobj 9.324 9.324 9.324 qmin 40.035 40.037 40.033 qmax 52.922 52.923 52.946 amean 46.319 46.319 46.319 amin 45.933 45.937 45.927 amax 46.743 46.744 46.748 emean 0.120 0.120 0.120 emin 0.108 0.108 0.108 emax 0.133 0.133 0.133 imean 7.955 7.955 7.955 imin 7.531 7.531 7.531 imax 8.352 8.352 8.352 excite_mean 0.183 0.183 0.183 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 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 184.9 185.0 184.8 kozaiamp 179.9 179.9 180.0