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: 20BY101 # Created Tue Apr 1 01:11:18 2025 # Orbit generated from Bernstein formalism # Fitting 9 observations of 10 # Arc: 2.21y # First observation: 2020/01/24 # Last observation: 2022/04/09 Preliminary a, adot, b, bdot, g, gdot: 0.000010 0.012204 -0.000001 -0.000564 0.016868 0.000000 # Chi-squared of fit: 7.93 DOF: 12 RMS: 0.17 # Min/Max residuals: -0.37 0.36 # Exact a, adot, b, bdot, g, gdot: 1.162908E-05 1.222469E-02 -2.449635E-07 -5.667974E-04 1.688692E-02 -3.150913E-03 # Covariance matrix: 7.1436E-13 -9.5197E-13 -2.8134E-14 5.5353E-14 -7.4634E-13 -2.8677E-11 -9.5197E-13 3.2882E-11 2.4992E-12 -6.1903E-12 2.4062E-11 2.3145E-09 -2.8134E-14 2.4992E-12 6.5836E-13 -7.8111E-13 1.8212E-12 1.7916E-10 5.5353E-14 -6.1903E-12 -7.8111E-13 1.4946E-12 -4.4948E-12 -4.4483E-10 -7.4634E-13 2.4062E-11 1.8212E-12 -4.4948E-12 1.8066E-11 1.6895E-09 -2.8677E-11 2.3145E-09 1.7916E-10 -4.4483E-10 1.6895E-09 1.6572E-07 # lat0 lon0 xBary yBary zBary JD0 10.372862 130.904702 0.128085 0.177258 -0.968332 2458872.861221 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 253.19554 +/- 4.843 Argument of Peri: 239.28690 +/- 3.606 Long of Asc Node: 26.00853 +/- 0.017 Inclination: 10.54670 +/- 0.001 Eccentricity: 0.29325829 +/- 0.0190 Semi-Major Axis: 52.24683335 +/- 0.6337 Time of Perihelion: 2499794.2352 +/- 1699.8 Perihelion: 36.92501643 +/- 1.0912 Aphelion: 67.56865028 +/- 1.2891 Period (y) 377.6575 +/- 6.87 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.68635856 +/- 0.0096 Ecliptic Y 44.84512475 +/- 0.0111 Ecliptic Z 10.66224151 +/- 0.0027 Ecliptic XDOT -0.00117147 +/- 0.0000 Ecliptic YDOT -0.00166286 +/- 0.0000 Ecliptic ZDOT -0.00018260 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 60.17809358 +/- 0.0103 Geocenter to KBO 59.21744605 +/- 0.0149 # Hcoef: 7.35
The following table shows the complete astrometric record for 20BY101. 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 (20BY101) followed by the observatory code and reference code for the source of the astrometry.
2020 01 24.36042 09 06 08.436 +27 26 47.85 25.1r 20BY101 568 C~5Zef 2020 01 24.59270 09 06 07.540 +27 26 51.77 25.0r 20BY101 568 C~5Zef 2020 12 16.32099 09 11 08.256 +27 00 54.19 25.1r 20BY101 304 C~5Zef 2020 12 16.35062 09 11 08.214 +27 00 54.63 25.2r 20BY101 304 C~5Zef 2020 12 17.30952 09 11 05.928 +27 01 12.10 25.0r 20BY101 304 C~5Zef 2020 12 17.34520 09 11 05.866 +27 01 12.72 25.1r 20BY101 304 C~5Zef 2021 01 15.25956 09 09 37.432 +27 10 02.39 20BY101 304 C~5Zef 2021 01 16.22931 09 09 33.907 +27 10 20.13 20BY101 304 C~5Zef 2022 04 08.03781 09 08 09.149 +27 07 37.93 25.0r 20BY101 304 C~5Zef 2022 04 09.05089 09 08 07.653 +27 07 33.16 25.1r 20BY101 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 -0.04 0.00 -0.06 2 0.0006 -12.55 0.01 0.25 -0.01 3 0.8952 4280.84 0.36 -290.19 -0.13 4 0.8953 4280.17 ( 0.73) -289.94 ( -0.10) 5 0.8979 4245.75 -0.37 -282.55 0.17 6 0.8980 4244.78 -0.06 -282.21 0.25 7 0.9771 2958.69 0.11 -133.28 -0.22 8 0.9798 2908.48 0.02 -130.47 0.05 9 2.2031 1877.15 0.00 -623.21 0.15 10 2.2059 1859.50 -0.03 -633.70 -0.19
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.
20BY101 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 52.483 54.609 51.120 ecceobj 0.285 0.344 0.236 incobj 10.547 10.549 10.545 qmin 36.611 35.008 38.382 qmax 69.104 75.296 64.535 amean 52.482 54.653 51.128 amin 51.915 53.991 50.638 amax 53.179 55.546 51.702 emean 0.286 0.344 0.235 emin 0.272 0.330 0.224 emax 0.300 0.359 0.248 imean 10.342 10.381 10.413 imin 9.772 9.663 10.023 imax 10.880 11.259 10.861 excite_mean 0.337 0.388 0.296 fracstop 1.000 1.000 1.000 cjmean 3.063 3.039 3.080 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 186.0 178.3 189.8 kozaiamp 180.0 180.0 180.0