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: 20BF102 # Created Tue Apr 1 01:11:18 2025 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 2.21y # First observation: 2020/01/23 # Last observation: 2022/04/09 Preliminary a, adot, b, bdot, g, gdot: 0.000019 0.012776 -0.000034 -0.004874 0.017609 0.000000 # Chi-squared of fit: 2.78 DOF: 12 RMS: 0.10 # Min/Max residuals: -0.23 0.28 # Exact a, adot, b, bdot, g, gdot: 1.145651E-05 1.286493E-02 -4.221745E-06 -4.957930E-03 1.767402E-02 4.570119E-03 # Covariance matrix: 6.1604E-13 -8.7049E-13 -8.3191E-14 2.6228E-13 -6.7600E-13 -2.3570E-11 -8.7049E-13 3.7276E-12 6.7027E-13 -2.0972E-12 3.7512E-12 1.8591E-10 -8.3191E-14 6.7027E-13 6.6857E-13 -8.2149E-13 6.4290E-13 4.3761E-11 2.6228E-13 -2.0972E-12 -8.2149E-13 1.8557E-12 -2.0192E-12 -1.3631E-10 -6.7600E-13 3.7512E-12 6.4290E-13 -2.0192E-12 4.4042E-12 1.8022E-10 -2.3570E-11 1.8591E-10 4.3761E-11 -1.3631E-10 1.8022E-10 1.1985E-08 # lat0 lon0 xBary yBary zBary JD0 7.060039 143.125725 0.348762 0.114235 -0.922307 2458871.933541 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 76.59614 +/- 1.130 Argument of Peri: 49.17606 +/- 0.502 Long of Asc Node: 340.25687 +/- 0.002 Inclination: 22.08233 +/- 0.003 Eccentricity: 0.30951413 +/- 0.0065 Semi-Major Axis: 56.19683359 +/- 0.2488 Time of Perihelion: 2426131.1099 +/- 431.2 Perihelion: 38.80311964 +/- 0.4014 Aphelion: 73.59054753 +/- 0.4877 Period (y) 421.2850 +/- 2.80 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -45.44898411 +/- 0.0053 Ecliptic Y 34.52292783 +/- 0.0040 Ecliptic Z 6.95396247 +/- 0.0008 Ecliptic XDOT -0.00182510 +/- 0.0000 Ecliptic YDOT -0.00111377 +/- 0.0000 Ecliptic ZDOT -0.00067542 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 57.49608940 +/- 0.0049 Geocenter to KBO 56.58020832 +/- 0.0067 # Hcoef: 7.23
The following table shows the complete astrometric record for 20BF102. 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 (20BF102) followed by the observatory code and reference code for the source of the astrometry.
2020 01 23.43274 09 51 42.528 +20 27 56.82 24.6r 20BF102 568 C~5fur 2020 01 23.64044 09 51 41.791 +20 28 00.60 24.7r 20BF102 568 C~5fur 2021 01 18.29771 09 54 28.374 +19 55 44.82 24.9r 20BF102 304 C~5fur 2021 01 18.34622 09 54 28.231 +19 55 45.42 24.8r 20BF102 304 C~5fur 2021 01 19.29143 09 54 25.058 +19 56 02.31 24.7r 20BF102 304 C~5fur 2021 03 09.12886 09 51 25.547 +20 08 55.99 24.9G 20BF102 304 C~5fur 2021 03 09.18560 09 51 25.349 +20 08 56.73 24.9G 20BF102 304 C~5fur 2022 04 08.08505 09 52 29.527 +19 41 54.23 24.6r 20BF102 304 C~5fur 2022 04 09.09571 09 52 27.364 +19 41 56.32 24.6r 20BF102 304 C~5fur
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 0.01 0.00 -0.04 2 0.0006 -11.03 0.02 0.04 0.07 3 0.9880 2854.45 -0.07 -1018.29 0.01 4 0.9881 2852.35 0.28 -1018.42 -0.12 5 0.9907 2804.51 -0.23 -1017.93 0.02 6 1.1244 162.54 -0.03 -1154.20 -0.03 7 1.1246 159.67 -0.02 -1154.44 0.07 8 2.2058 1562.55 -0.03 -2372.71 0.02 9 2.2085 1533.11 0.06 -2381.16 -0.01
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.
20BF102 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.771 57.522 56.082 ecceobj 0.314 0.332 0.297 incobj 22.064 22.064 22.062 qmin 38.127 37.511 38.568 qmax 75.847 77.921 73.999 amean 56.593 57.294 55.901 amin 56.003 56.678 55.329 amax 57.313 58.066 56.612 emean 0.309 0.327 0.292 emin 0.294 0.313 0.277 emax 0.324 0.343 0.308 imean 23.044 22.993 23.009 imin 22.626 22.529 22.607 imax 23.558 23.502 23.547 excite_mean 0.499 0.509 0.488 fracstop 1.000 1.000 1.000 cjmean 2.931 2.925 2.937 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 169.1 166.5 176.4 kozaiamp 179.9 179.9 180.0