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: 20BA95 # Created Sat Apr 27 01:18:33 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 1.87y # First observation: 2020/01/25 # Last observation: 2021/12/07 Preliminary a, adot, b, bdot, g, gdot: 0.000037 0.008795 -0.000008 -0.002826 0.014552 0.000000 # Chi-squared of fit: 1.45 DOF: 12 RMS: 0.07 # Min/Max residuals: -0.14 0.16 # Exact a, adot, b, bdot, g, gdot: 9.368842E-06 8.887244E-03 -3.371192E-06 -2.851925E-03 1.465031E-02 2.714164E-03 # Covariance matrix: 7.2361E-13 -9.5975E-13 -3.8592E-14 1.4531E-13 -4.2704E-13 -2.6812E-11 -9.5975E-13 3.3881E-12 1.3741E-13 -5.3421E-13 -9.7957E-13 9.3557E-11 -3.8592E-14 1.3741E-13 5.3598E-13 -4.2374E-13 4.1181E-14 5.5950E-12 1.4531E-13 -5.3421E-13 -4.2374E-13 5.4250E-13 -1.2689E-13 -2.1270E-11 -4.2704E-13 -9.7957E-13 4.1181E-14 -1.2689E-13 4.6485E-12 3.1814E-11 -2.6812E-11 9.3557E-11 5.5950E-12 -2.1270E-11 3.1814E-11 3.8642E-09 # lat0 lon0 xBary yBary zBary JD0 4.683688 119.084908 -0.092473 0.080722 -0.985177 2458873.791211 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 115.05208 +/- 0.850 Argument of Peri: 20.19423 +/- 0.631 Long of Asc Node: 313.17944 +/- 0.003 Inclination: 18.43994 +/- 0.004 Eccentricity: 0.36017872 +/- 0.0026 Semi-Major Axis: 56.06551985 +/- 0.1328 Time of Perihelion: 2409866.2026 +/- 317.5 Perihelion: 35.87191266 +/- 0.1690 Aphelion: 76.25912703 +/- 0.2324 Period (y) 419.8092 +/- 1.49 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -33.62763030 +/- 0.0049 Ecliptic Y 60.26265216 +/- 0.0087 Ecliptic Z 5.57332209 +/- 0.0008 Ecliptic XDOT -0.00171002 +/- 0.0000 Ecliptic YDOT -0.00032530 +/- 0.0000 Ecliptic ZDOT -0.00049000 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 69.23486610 +/- 0.0080 Geocenter to KBO 68.25795630 +/- 0.0100 # Hcoef: 5.69
The following table shows the complete astrometric record for 20BA95. 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 (20BA95) followed by the observatory code and reference code for the source of the astrometry.
2020 01 25.29041 08 09 09.931 +24 55 16.81 23.8G 20BA95 568 C~5Jza 2020 01 25.52351 08 09 09.110 +24 55 18.75 24.0G 20BA95 568 C~5Jza 2020 12 16.26782 08 13 17.359 +24 33 09.71 24.0r 20BA95 304 C~5Jza 2020 12 16.30578 08 13 17.268 +24 33 09.96 24.0r 20BA95 304 C~5Jza 2020 12 17.35245 08 13 14.406 +24 33 19.68 23.8r 20BA95 304 C~5Jza 2021 01 15.21754 08 11 43.142 +24 37 50.88 20BA95 304 C~5Jza 2021 01 16.18680 08 11 39.827 +24 37 59.71 20BA95 304 C~5Jza 2021 12 06.28775 08 15 41.459 +24 15 32.89 24.2r 20BA95 304 C~5Jza 2021 12 07.29898 08 15 39.195 +24 15 41.05 24.1r 20BA95 304 C~5Jza
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 0.06 2 0.0006 -11.33 -0.02 -0.49 0.07 3 0.8925 3578.81 -0.10 -564.42 -0.08 4 0.8926 3577.54 0.11 -564.45 -0.14 5 0.8954 3537.30 -0.03 -563.58 0.01 6 0.9745 2263.09 -0.05 -571.71 -0.05 7 0.9771 2217.04 0.03 -572.93 0.01 8 1.8645 5734.23 0.00 -1156.67 0.16 9 1.8672 5702.20 0.02 -1155.68 -0.03
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.
20BA95 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.641 57.045 56.257 ecceobj 0.357 0.364 0.350 incobj 18.363 18.358 18.367 qmin 34.626 34.653 35.008 qmax 79.405 79.875 78.417 amean 56.518 56.795 56.133 amin 55.827 56.170 55.415 amax 57.370 57.595 57.047 emean 0.365 0.371 0.356 emin 0.345 0.351 0.338 emax 0.386 0.388 0.375 imean 19.262 19.199 19.378 imin 18.301 18.298 18.711 imax 20.005 20.028 19.940 excite_mean 0.492 0.496 0.487 fracstop 1.000 1.000 1.000 cjmean 2.941 2.939 2.943 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 168.0 166.0 169.3 kozaiamp 180.0 180.0 180.0