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: 20FA31 # Created Fri Apr 26 01:18:33 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 0.98y # First observation: 2020/03/24 # Last observation: 2021/03/18 Preliminary a, adot, b, bdot, g, gdot: -0.000022 0.004991 -0.000003 0.000898 0.010327 0.000000 # Chi-squared of fit: 1.57 DOF: 16 RMS: 0.07 # Min/Max residuals: -0.13 0.14 # Exact a, adot, b, bdot, g, gdot: 7.350433E-06 5.001227E-03 1.209747E-06 8.984996E-04 1.039889E-02 1.688294E-03 # Covariance matrix: 7.2338E-13 5.9112E-14 4.1838E-14 4.1183E-14 1.0066E-12 1.5406E-10 5.9112E-14 6.5918E-12 6.1216E-14 6.5217E-14 3.0439E-12 8.5582E-10 4.1838E-14 6.1216E-14 3.2765E-13 -4.0278E-13 1.0977E-13 1.7740E-11 4.1183E-14 6.5217E-14 -4.0278E-13 8.8318E-13 1.0984E-13 1.8111E-11 1.0066E-12 3.0439E-12 1.0977E-13 1.0984E-13 3.2096E-12 6.3235E-10 1.5406E-10 8.5582E-10 1.7740E-11 1.8111E-11 6.3235E-10 1.4779E-07 # lat0 lon0 xBary yBary zBary JD0 16.833849 -166.482290 0.174059 0.285463 -0.943698 2458932.900621 # Heliocentric elements and errors Epoch: 2458930.5000 = 2020/03/22 Mean Anomaly: 124.02703 +/- 6.922 Argument of Peri: 263.77676 +/- 5.102 Long of Asc Node: 135.94212 +/- 0.033 Inclination: 19.54781 +/- 0.007 Eccentricity: 0.45396229 +/- 0.0183 Semi-Major Axis: 71.89990636 +/- 1.5421 Time of Perihelion: 2382211.1800 +/- 3498.5 Perihelion: 39.26006013 +/- 1.5597 Aphelion: 104.53975260 +/- 2.5983 Period (y) 609.6782 +/- 19.62 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -90.48817588 +/- 0.0154 Ecliptic Y -21.58390152 +/- 0.0037 Ecliptic Z 27.84900713 +/- 0.0048 Ecliptic XDOT -0.00003107 +/- 0.0001 Ecliptic YDOT -0.00136091 +/- 0.0000 Ecliptic ZDOT 0.00035492 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 97.10582875 +/- 0.0145 Geocenter to KBO 96.16414273 +/- 0.0166 # Hcoef: 5.31
The following table shows the complete astrometric record for 20FA31. 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 (20FA31) followed by the observatory code and reference code for the source of the astrometry.
2020 03 24.39982 13 16 00.268 +10 10 40.59 24.9r 20FA31 568 C~4ZhP 2020 03 24.56569 13 15 59.915 +10 10 43.09 25.0r 20FA31 568 C~4ZhQ 2020 05 27.18510 13 13 57.035 +10 20 04.38 25.2r 20FA31 G37 C~4ZhQ 2020 05 27.19245 13 13 57.032 +10 20 04.37 20FA31 G37 C~4ZhQ 2020 05 27.25148 13 13 56.945 +10 20 04.34 25.1r 20FA31 G37 C~4ZhQ 2020 05 27.25880 13 13 56.938 +10 20 04.39 25.2r 20FA31 G37 C~4ZhQ 2021 01 17.35313 13 18 28.480 +09 49 24.78 25.3r 20FA31 304 C~4ZhQ 2021 01 18.35542 13 18 28.418 +09 49 36.98 25.2r 20FA31 304 C~4ZhQ 2021 01 19.36274 13 18 28.314 +09 49 49.72 25.1r 20FA31 304 C~4ZhQ 2021 03 17.24407 13 17 23.806 +10 04 50.44 25.1r 20FA31 304 C~5Zef 2021 03 18.29909 13 17 21.790 +10 05 07.50 25.1r 20FA31 304 C~5Zef
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 0.05 0.00 0.03
2 0.0005 -5.77 -0.07 0.25 -0.09
3 0.1746 -1894.39 -0.08 -194.80 -0.00
4 0.1747 -1894.43 0.03 -194.83 0.03
5 0.1748 -1895.60 0.02 -195.36 -0.03
6 0.1748 -1895.71 0.05 -195.35 0.03
7 0.8185 2515.03 -0.05 -310.53 0.06
8 0.8212 2509.37 0.06 -299.68 -0.02
9 0.8240 2502.93 0.06 -288.58 0.14
10 0.9797 1271.83 -0.13 163.41 -0.10
11 0.9826 1237.75 0.06 167.36 -0.05
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.
20FA31 quality flag:1 Type: SCATNEAR SCATNEAR 7:2EEEEE axisobj 71.733 78.485 68.765 ecceobj 0.462 0.528 0.425 incobj 19.512 19.523 19.501 qmin 38.469 36.757 39.282 qmax 107.344 123.188 101.721 amean 72.102 78.835 69.408 amin 71.195 77.747 68.356 amax 73.304 80.404 70.849 emean 0.452 0.518 0.419 emin 0.438 0.503 0.405 emax 0.465 0.533 0.436 imean 18.553 18.838 18.314 imin 17.996 18.034 17.866 imax 19.212 19.802 18.781 excite_mean 0.553 0.610 0.524 fracstop 1.000 1.000 1.000 cjmean 3.035 3.002 3.051 libcent 0 -180.0 -180.0 179.8 libamp 0 -180.0 -180.0 166.1 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 181.3 180.3 186.4 kozaiamp 180.0 179.9 180.0