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: 20FB31 # Created Sat Apr 20 01:18:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 9.93y # First observation: 2012/03/27 # Last observation: 2022/03/02 # Chi-squared of fit: 6.89 DOF: 16 RMS: 0.14 # Min/Max residuals: -0.26 0.27 # Exact a, adot, b, bdot, g, gdot: 8.941342E-06 7.417421E-03 -1.198639E-06 -9.756418E-04 1.311607E-02 -1.677885E-03 # Covariance matrix: 4.8926E-13 -1.0334E-13 -1.0504E-15 6.3521E-15 -7.3992E-14 -7.0671E-13 -1.0334E-13 3.4380E-13 1.1232E-14 -4.3574E-14 7.9646E-13 4.9662E-12 -1.0504E-15 1.1232E-14 4.8030E-13 -5.5849E-14 3.7307E-14 1.7095E-13 6.3521E-15 -4.3574E-14 -5.5849E-14 1.4133E-14 -1.0367E-13 -6.4540E-13 -7.3992E-14 7.9646E-13 3.7307E-14 -1.0367E-13 2.6543E-12 1.2126E-11 -7.0671E-13 4.9662E-12 1.7095E-13 -6.4540E-13 1.2126E-11 7.3690E-11 # lat0 lon0 xBary yBary zBary JD0 14.750010 159.688375 -0.459854 0.226380 -0.859884 2456013.905884 # Heliocentric elements and errors Epoch: 2456014.5000 = 2012/03/28 Mean Anomaly: 221.81910 +/- 0.153 Argument of Peri: 276.65148 +/- 0.111 Long of Asc Node: 41.89934 +/- 0.002 Inclination: 16.43687 +/- 0.000 Eccentricity: 0.38887883 +/- 0.0002 Semi-Major Axis: 57.75225700 +/- 0.0266 Time of Perihelion: 2517545.9819 +/- 96.6 Perihelion: 35.29362684 +/- 0.0197 Aphelion: 80.21088716 +/- 0.0386 Period (y) 438.8960 +/- 0.30 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -70.13612892 +/- 0.0086 Ecliptic Y 25.47200239 +/- 0.0032 Ecliptic Z 19.41138488 +/- 0.0024 Ecliptic XDOT -0.00027332 +/- 0.0000 Ecliptic YDOT -0.00154776 +/- 0.0000 Ecliptic ZDOT -0.00028602 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 77.10203652 +/- 0.0079 Geocenter to KBO 76.24252059 +/- 0.0095 # Hcoef: 5.48
The following table shows the complete astrometric record for 20FB31. 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 (20FB31) followed by the observatory code and reference code for the source of the astrometry.
2012 03 27.405118 11 08 38.40 +21 32 17.5 20FB31 568 C~5Xxi 2012 03 27.418854 11 08 38.35 +21 32 17.8 20FB31 568 C~5Xxi 2012 03 27.437150 11 08 38.33 +21 32 17.7 20FB31 568 C~5Xxi 2020 03 24.33174 11 21 27.133 +19 41 56.81 24.2r 20FB31 568 C~4ZhQ 2020 03 24.50453 11 21 26.640 +19 41 59.01 24.3r 20FB31 568 C~4ZhQ 2020 06 11.16719 11 19 31.760 +19 40 07.85 24.5r 20FB31 G37 C~4ZhQ 2020 06 11.22079 11 19 31.780 +19 40 07.01 24.3r 20FB31 G37 C~4ZhQ 2021 02 07.24673 11 25 05.164 +19 14 53.11 24.3r 20FB31 304 C~4ZhQ 2021 02 08.20450 11 25 02.878 +19 15 12.35 24.2r 20FB31 304 C~4ZhQ 2022 03 02.266930 11 25 40.265 +19 07 50.21 23.6G 20FB31 G37 C~5SJL 2022 03 02.323170 11 25 40.098 +19 07 50.88 20FB31 G37 C~5SJL
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 0.00 0.00 0.00
2 0.0000 0.00 -0.19 0.00 0.17
3 0.0001 0.00 0.24 0.00 -0.11
4 7.9916 0.00 0.05 0.00 -0.26
5 7.9921 0.00 -0.12 0.00 -0.15
6 8.2074 0.00 -0.07 0.00 0.01
7 8.2076 0.00 -0.00 0.00 -0.03
8 8.8675 0.00 0.06 0.00 -0.05
9 8.8701 0.00 -0.13 0.00 0.18
10 9.9298 0.00 0.17 0.00 0.27
11 9.9300 0.00 0.07 0.00 -0.07
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.
20FB31 quality flag:3 Type: 8:3EEEEE 8:3EEEEE 8:3EEEEE axisobj 57.663 57.663 57.663 ecceobj 0.391 0.391 0.391 incobj 16.445 16.445 16.445 qmin 34.490 34.514 34.456 qmax 82.711 82.645 82.861 amean 57.901 57.901 57.901 amin 57.054 57.116 57.112 amax 58.919 58.940 58.966 emean 0.392 0.392 0.392 emin 0.379 0.379 0.379 emax 0.405 0.404 0.406 imean 15.482 15.475 15.492 imin 15.027 15.062 15.002 imax 15.875 15.875 15.875 excite_mean 0.474 0.474 0.474 fracstop 1.000 1.000 1.000 cjmean 2.979 2.979 2.979 libcent 0 178.6 180.3 178.8 libamp 0 134.5 136.2 134.4 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 197.8 199.5 196.6 kozaiamp 180.0 180.0 180.0