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: 13RF156
# Created Fri Nov 22 02:09:32 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 12 observations of 12
# Arc: 11.06y
# First observation: 2013/09/08
# Last observation: 2024/10/01
# Chi-squared of fit: 4.09 DOF: 18 RMS: 0.10
# Min/Max residuals: -0.22 0.19
# Exact a, adot, b, bdot, g, gdot:
1.204621E-05 1.785014E-02 -7.479606E-07 -1.094976E-04 2.187225E-02 3.283281E-03
# Covariance matrix:
6.0024E-13 -1.2448E-13 1.1949E-14 2.8500E-16 4.9280E-13 -4.7209E-13
-1.2448E-13 1.1578E-13 4.0955E-15 -8.9563E-16 1.4818E-13 5.5282E-13
1.1949E-14 4.0955E-15 2.7921E-13 -3.3700E-14 4.4180E-14 2.0346E-14
2.8500E-16 -8.9563E-16 -3.3700E-14 7.4131E-15 -2.3927E-15 -4.5521E-15
4.9280E-13 1.4818E-13 4.4180E-14 -2.3927E-15 1.7502E-12 7.3400E-13
-4.7209E-13 5.5282E-13 2.0346E-14 -4.5521E-15 7.3400E-13 2.8202E-12
# lat0 lon0 xBary yBary zBary JD0
6.732343 -17.807898 -0.055481 0.118122 -0.999953 2456543.657848
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 126.60910 +/- 0.045
Argument of Peri: 306.59169 +/- 0.023
Long of Asc Node: 249.53104 +/- 0.002
Inclination: 6.59511 +/- 0.000
Eccentricity: 0.25801457 +/- 0.0001
Semi-Major Axis: 39.32950630 +/- 0.0068
Time of Perihelion: 2424860.6043 +/- 14.0
Perihelion: 29.18192066 +/- 0.0067
Aphelion: 49.47709195 +/- 0.0096
Period (y) 246.6527 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.20483481 +/- 0.0026
Ecliptic Y -14.13810790 +/- 0.0009
Ecliptic Z 5.35978309 +/- 0.0003
Ecliptic XDOT 0.00106728 +/- 0.0000
Ecliptic YDOT 0.00200087 +/- 0.0000
Ecliptic ZDOT 0.00003471 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.71906190 +/- 0.0025
Geocenter to KBO 45.71996893 +/- 0.0028
# Hcoef: 7.08
The following table shows the complete astrometric record for 13RF156. 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 (13RF156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.15707 22 44 03.665 -00 45 33.98 23.4g 13RF156 W84 C~52RL 2013 09 13.17758 22 43 43.200 -00 47 45.70 23.7i 13RF156 W84 C~52RL 2013 10 10.11083 22 42 04.792 -00 59 30.10 23.8r 13RF156 W84 C~52RL 2015 11 03.04692 22 48 36.282 -00 22 58.34 24.4g 13RF156 W84 C~52RL 2015 11 08.02913 22 48 28.480 -00 24 28.75 24.5r 13RF156 W84 C~52RL 2016 09 26.11839 22 54 06.489 +00 14 17.11 23.7r 13RF156 W84 C~52RL 2017 11 08.03806 22 55 49.486 +00 19 49.77 23.4r 13RF156 W84 C~52RL 2018 09 17.24249 23 02 06.559 +01 03 02.82 23.4r 13RF156 W84 C~52RL 2018 09 17.24524 23 02 06.551 +01 03 02.62 24.6g 13RF156 W84 C~52RL 2024 10 01.233740 23 22 59.932 +03 07 36.72 23.6G 13RF156 G37 C~8GyC 2024 10 01.272850 23 22 59.766 +03 07 35.77 13RF156 G37 C~8GyC 2024 10 01.312350 23 22 59.620 +03 07 34.66 13RF156 G37 C~8GyC
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 0.11 0.00 0.19
2 0.0137 0.00 -0.02 0.00 -0.05
3 0.0875 0.00 -0.09 0.00 -0.12
4 2.1516 0.00 0.03 0.00 0.11
5 2.1653 0.00 0.02 0.00 -0.12
6 3.0499 0.00 -0.06 0.00 0.07
7 4.1667 0.00 0.02 0.00 0.18
8 5.0242 0.00 0.00 0.00 -0.10
9 5.0242 0.00 0.05 0.00 -0.22
10 11.0639 0.00 0.13 0.00 -0.04
11 11.0640 0.00 -0.12 0.00 0.07
12 11.0641 0.00 -0.04 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.
13RF156 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.475 39.475 39.475 ecceobj 0.254 0.254 0.254 incobj 6.600 6.600 6.600 qmin 28.767 28.767 28.767 qmax 50.681 50.681 50.681 amean 39.456 39.456 39.456 amin 39.006 39.006 39.006 amax 39.978 39.977 39.978 emean 0.223 0.223 0.223 emin 0.182 0.182 0.182 emax 0.269 0.269 0.269 imean 10.864 10.865 10.863 imin 7.888 7.888 7.888 imax 12.484 12.484 12.483 excite_mean 0.293 0.293 0.293 fracstop 1.000 1.000 1.000 cjmean 2.954 2.954 2.954 libcent 0 179.9 179.7 180.0 libamp 0 85.4 85.3 85.5 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 211.6 211.5 211.6 kozaiamp 179.9 179.9 179.9