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: 20BC95 # Created Tue Apr 1 01:11:18 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.27y # First observation: 2020/01/23 # Last observation: 2022/04/30 Preliminary a, adot, b, bdot, g, gdot: -0.000013 0.011332 -0.000038 -0.004484 0.015538 0.000000 # Chi-squared of fit: 9.98 DOF: 10 RMS: 0.20 # Min/Max residuals: -0.45 0.32 # Exact a, adot, b, bdot, g, gdot: 1.112594E-05 1.169008E-02 -4.742933E-06 -4.587633E-03 1.605191E-02 7.143796E-03 # Covariance matrix: 7.1292E-13 1.3455E-12 -9.6051E-15 -8.8088E-14 2.6236E-12 2.0463E-11 1.3455E-12 2.9140E-11 1.2586E-12 -5.7687E-12 4.2825E-11 6.8334E-10 -9.6051E-15 1.2586E-12 7.2478E-13 -9.2132E-13 1.6788E-12 5.6318E-11 -8.8088E-14 -5.7687E-12 -9.2132E-13 2.4642E-12 -7.9977E-12 -2.1578E-10 2.6236E-12 4.2825E-11 1.6788E-12 -7.9977E-12 6.3894E-11 9.7041E-10 2.0463E-11 6.8334E-10 5.6318E-11 -2.1578E-10 9.7041E-10 2.2345E-08 # lat0 lon0 xBary yBary zBary JD0 14.860380 146.776233 0.406658 0.232240 -0.875233 2458871.968721 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 31.61514 +/- 0.866 Argument of Peri: 51.87643 +/- 0.057 Long of Asc Node: 359.53796 +/- 0.011 Inclination: 25.55821 +/- 0.007 Eccentricity: 0.55026615 +/- 0.0112 Semi-Major Axis: 88.65964282 +/- 1.5106 Time of Perihelion: 2432092.3834 +/- 262.8 Perihelion: 39.87324275 +/- 1.2056 Aphelion: 137.44604290 +/- 2.5449 Period (y) 834.8283 +/- 21.34 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -50.90258153 +/- 0.0251 Ecliptic Y 33.82039203 +/- 0.0164 Ecliptic Z 15.97686946 +/- 0.0079 Ecliptic XDOT -0.00223725 +/- 0.0000 Ecliptic YDOT -0.00091051 +/- 0.0000 Ecliptic ZDOT -0.00044404 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 63.16765059 +/- 0.0221 Geocenter to KBO 62.29786292 +/- 0.0310 # Hcoef: 6.78
The following table shows the complete astrometric record for 20BC95. 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 (20BC95) followed by the observatory code and reference code for the source of the astrometry.
2020 01 23.46792 10 18 24.872 +26 29 04.79 24.6r 20BC95 568 C~5Jza 2020 01 24.44100 10 18 21.859 +26 29 24.61 24.5r 20BC95 568 C~5Jza 2021 03 09.13754 10 18 06.631 +26 12 08.86 24.6G 20BC95 304 C~5Jza 2021 03 09.21293 10 18 06.361 +26 12 09.46 25.1G 20BC95 304 C~5Jza 2021 03 17.16238 10 17 39.840 +26 13 18.83 24.8r 20BC95 304 C~5Jza 2021 03 18.16449 10 17 36.586 +26 13 26.11 24.9r 20BC95 304 C~5Jza 2022 04 29.02900 10 18 16.956 +25 43 39.62 24.6r 20BC95 304 C~6DKU 2022 04 30.02965 10 18 15.736 +25 43 29.72 24.7r 20BC95 304 C~6DKU
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 0.08 0.00 0.05
2 0.0027 -44.92 0.20 3.36 0.05
3 1.1244 149.77 -0.43 -1034.32 0.03
4 1.1246 146.17 -0.45 -1035.12 -0.17
5 1.1463 -211.02 0.32 -1103.04 -0.08
6 1.1491 -254.39 -0.01 -1112.50 0.02
7 2.2630 913.88 0.16 -2569.75 0.08
8 2.2657 902.25 0.12 -2585.07 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.
20BC95 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 90.421 95.128 86.372 ecceobj 0.558 0.589 0.528 incobj 25.571 25.557 25.584 qmin 38.931 37.871 39.694 qmax 143.708 154.165 134.486 amean 89.708 94.258 85.760 amin 88.338 92.574 84.469 amax 91.780 96.600 87.580 emean 0.552 0.581 0.521 emin 0.541 0.566 0.507 emax 0.566 0.598 0.537 imean 26.152 26.287 26.231 imin 25.703 25.481 25.615 imax 26.720 27.233 26.986 excite_mean 0.707 0.731 0.683 fracstop 1.000 1.000 1.000 cjmean 2.918 2.900 2.935 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 128.3 141.4 144.0 kozaiamp 76.4 90.6 94.3