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: 20FP40 # Created Sat May 4 01:18:33 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 2.04y # First observation: 2020/03/24 # Last observation: 2022/04/08 Preliminary a, adot, b, bdot, g, gdot: 0.000028 0.011611 -0.000011 -0.003960 0.016570 0.000000 # Chi-squared of fit: 4.51 DOF: 16 RMS: 0.11 # Min/Max residuals: -0.20 0.28 # Exact a, adot, b, bdot, g, gdot: 1.125079E-05 1.172331E-02 -4.133616E-06 -3.999614E-03 1.668644E-02 4.403453E-03 # Covariance matrix: 6.9122E-13 -9.9393E-13 -6.9868E-14 2.3461E-13 -6.5507E-13 -2.7422E-11 -9.9393E-13 2.9866E-12 2.8482E-13 -9.4254E-13 3.3847E-12 1.1048E-10 -6.9868E-14 2.8482E-13 5.3801E-13 -4.1345E-13 3.7141E-13 1.1579E-11 2.3461E-13 -9.4254E-13 -4.1345E-13 5.9204E-13 -1.1816E-12 -3.8277E-11 -6.5507E-13 3.3847E-12 3.7141E-13 -1.1816E-12 6.8586E-12 1.3959E-10 -2.7422E-11 1.1048E-10 1.1579E-11 -3.8277E-11 1.3959E-10 4.4877E-09 # lat0 lon0 xBary yBary zBary JD0 16.224395 177.609899 -0.102301 0.278206 -0.956280 2458932.869641 # Heliocentric elements and errors Epoch: 2458930.5000 = 2020/03/22 Mean Anomaly: 78.98330 +/- 0.729 Argument of Peri: 21.07045 +/- 0.336 Long of Asc Node: 36.70596 +/- 0.004 Inclination: 24.44952 +/- 0.002 Eccentricity: 0.33830025 +/- 0.0041 Semi-Major Axis: 58.08707349 +/- 0.1669 Time of Perihelion: 2423453.2077 +/- 289.5 Perihelion: 38.43620191 +/- 0.2601 Aphelion: 77.73794508 +/- 0.3246 Period (y) 442.7183 +/- 1.91 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -58.48709591 +/- 0.0090 Ecliptic Y 2.33109484 +/- 0.0004 Ecliptic Z 16.74390977 +/- 0.0026 Ecliptic XDOT -0.00094833 +/- 0.0000 Ecliptic YDOT -0.00188249 +/- 0.0000 Ecliptic ZDOT -0.00042847 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 60.88130177 +/- 0.0087 Geocenter to KBO 59.92889848 +/- 0.0094 # Hcoef: 7.40
The following table shows the complete astrometric record for 20FP40. 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 (20FP40) followed by the observatory code and reference code for the source of the astrometry.
2020 03 24.36884 12 17 44.318 +15 47 58.30 25.2r 20FP40 568 C~5fv2 2020 03 24.53353 12 17 43.746 +15 48 01.12 25.1r 20FP40 568 C~5fv2 2021 03 17.29465 12 20 16.912 +15 16 36.18 25.3r 20FP40 304 C~5fv2 2021 03 17.33414 12 20 16.775 +15 16 37.27 25.3r 20FP40 304 C~5fv2 2021 04 12.14363 12 18 50.044 +15 23 39.57 25.1r 20FP40 304 C~5fv2 2021 04 12.20849 12 18 49.842 +15 23 40.23 25.0r 20FP40 304 C~5fv2 2021 04 13.14375 12 18 46.811 +15 23 51.12 25.2r 20FP40 304 C~5fv2 2022 03 07.30623 12 22 55.952 +14 44 07.13 25.1G 20FP40 304 C~5fv2 2022 03 07.37233 12 22 55.726 +14 44 08.54 25.2G 20FP40 304 C~5fv2 2022 04 08.14103 12 21 10.058 +14 53 59.65 25.0r 20FP40 304 C~5fv2 2022 04 08.20379 12 21 09.842 +14 54 00.45 25.1r 20FP40 304 C~5fv2
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 -0.03 0.00 0.07
2 0.0005 -8.68 0.06 -0.84 -0.08
3 0.9799 2787.11 0.10 -799.12 0.03
4 0.9801 2784.86 -0.05 -798.95 0.28
5 1.0507 1467.95 -0.07 -935.35 -0.08
6 1.0509 1465.01 0.12 -935.96 -0.10
7 1.0535 1420.60 -0.17 -944.20 -0.10
8 1.9519 5695.68 0.04 -1609.78 -0.06
9 1.9521 5692.11 -0.12 -1609.88 -0.20
10 2.0391 4051.99 0.08 -1712.46 0.17
11 2.0392 4048.81 0.03 -1713.04 0.08
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.
20FP40 quality flag:2 Type: SCATNEAR SCATNEAR 8:3EEEEE axisobj 58.285 58.768 57.828 ecceobj 0.343 0.354 0.333 incobj 24.518 24.515 24.521 qmin 37.156 36.769 37.741 qmax 80.627 81.927 79.032 amean 58.381 58.856 57.901 amin 57.763 58.208 57.283 amax 59.197 59.673 58.678 emean 0.345 0.357 0.297 emin 0.329 0.340 0.244 emax 0.362 0.374 0.347 imean 23.661 23.619 25.209 imin 23.129 23.066 23.239 imax 24.283 24.236 27.010 excite_mean 0.530 0.537 0.520 fracstop 1.000 1.000 1.000 cjmean 2.909 2.905 2.914 libcent 0 -180.0 -180.0 176.0 libamp 0 -180.0 -180.0 126.2 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 154.7 154.8 103.1 kozaiamp 179.9 180.0 77.7