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: 13RE157 # Created Fri Nov 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 10 observations of 10 # Arc: 5.19y # First observation: 2013/09/10 # Last observation: 2018/11/17 # Chi-squared of fit: 6.44 DOF: 14 RMS: 0.14 # Min/Max residuals: -0.26 0.25 # Exact a, adot, b, bdot, g, gdot: 1.272605E-05 1.882442E-02 -7.164212E-06 -1.161175E-02 2.311741E-02 3.211391E-03 # Covariance matrix: 5.3978E-13 -2.7268E-13 -7.0524E-14 1.4285E-13 8.1669E-14 -2.5657E-12 -2.7268E-13 5.2548E-13 1.9113E-13 -3.4451E-13 4.1467E-13 6.1530E-12 -7.0524E-14 1.9113E-13 5.2987E-13 -2.6221E-13 1.1530E-13 2.5845E-12 1.4285E-13 -3.4451E-13 -2.6221E-13 3.1918E-13 -1.1860E-13 -4.8978E-12 8.1669E-14 4.1467E-13 1.1530E-13 -1.1860E-13 1.5815E-12 2.0363E-12 -2.5657E-12 6.1530E-12 2.5845E-12 -4.8978E-12 2.0363E-12 8.7695E-11 # lat0 lon0 xBary yBary zBary JD0 -17.131198 25.029478 0.614548 -0.235175 -0.763311 2456545.827198 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 63.82177 +/- 0.052 Argument of Peri: 131.24213 +/- 0.061 Long of Asc Node: 179.26272 +/- 0.001 Inclination: 35.64794 +/- 0.001 Eccentricity: 0.13402505 +/- 0.0004 Semi-Major Axis: 46.02610641 +/- 0.0124 Time of Perihelion: 2436326.9663 +/- 18.5 Perihelion: 39.85745497 +/- 0.0230 Aphelion: 52.19475785 +/- 0.0247 Period (y) 312.2587 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.43926671 +/- 0.0020 Ecliptic Y 17.27357978 +/- 0.0009 Ecliptic Z -12.74225970 +/- 0.0007 Ecliptic XDOT -0.00098713 +/- 0.0000 Ecliptic YDOT 0.00200129 +/- 0.0000 Ecliptic ZDOT -0.00142609 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.02626029 +/- 0.0018 Geocenter to KBO 43.25737193 +/- 0.0024 # Hcoef: 7.17
The following table shows the complete astrometric record for 13RE157. 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 (13RE157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.32642 01 57 38.605 -06 16 56.34 23.7r 13RE157 W84 C~52RO 2013 10 11.22586 01 55 44.669 -06 36 23.16 23.5i 13RE157 W84 C~52RO 2014 09 25.26736 02 01 50.880 -06 40 10.89 23.5i 13RE157 W84 C~52RO 2014 09 25.26874 02 01 50.882 -06 40 10.98 24.1g 13RE157 W84 C~52RO 2016 09 11.26392 02 12 30.433 -06 57 55.53 23.8i 13RE157 W84 C~52RO 2016 10 22.29602 02 09 56.546 -07 22 57.02 22.8i 13RE157 W84 C~52RO 2017 10 22.21469 02 14 54.855 -07 35 43.40 23.3r 13RE157 W84 C~52RO 2017 10 22.21606 02 14 54.858 -07 35 43.67 23.2i 13RE157 W84 C~52RO 2017 12 14.06627 02 11 29.101 -07 49 04.86 24.1r 13RE157 W84 C~52RO 2018 11 17.15165 02 17 59.196 -07 58 31.06 23.1i 13RE157 W84 C~52RO
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 -0.14
2 0.0846 0.00 -0.17 0.00 0.25
3 1.0402 0.00 0.06 0.00 0.01
4 1.0402 0.00 0.16 0.00 -0.03
5 3.0033 0.00 -0.25 0.00 0.06
6 3.1156 0.00 -0.05 0.00 -0.26
7 4.1147 0.00 0.06 0.00 0.11
8 4.1147 0.00 0.20 0.00 -0.12
9 4.2594 0.00 -0.07 0.00 -0.00
10 5.1850 0.00 0.02 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.
13RE157 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.251 46.251 46.251 ecceobj 0.138 0.138 0.138 incobj 35.548 35.548 35.548 qmin 39.033 39.037 39.029 qmax 53.216 53.226 53.196 amean 45.968 45.968 45.968 amin 45.593 45.603 45.600 amax 46.367 46.386 46.377 emean 0.134 0.134 0.134 emin 0.121 0.121 0.121 emax 0.148 0.147 0.147 imean 35.270 35.270 35.270 imin 35.015 35.012 35.022 imax 35.532 35.528 35.538 excite_mean 0.593 0.593 0.593 fracstop 1.000 1.000 1.000 cjmean 2.655 2.655 2.655 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 195.7 195.7 195.7 kozaiamp 180.0 179.9 180.0