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: 20UG74 # Created Tue Apr 1 01:11:22 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 0.96y # First observation: 2020/10/20 # Last observation: 2021/10/06 Preliminary a, adot, b, bdot, g, gdot: 0.000003 0.024660 -0.000001 -0.000408 0.024710 0.000000 # Chi-squared of fit: 0.80 DOF: 10 RMS: 0.06 # Min/Max residuals: -0.08 0.10 # Exact a, adot, b, bdot, g, gdot: 1.559907E-05 2.462014E-02 -7.477668E-07 -4.069585E-04 2.452857E-02 -1.112014E-05 # Covariance matrix: 8.6980E-13 5.9297E-11 -1.8556E-14 -9.7514E-13 4.2056E-11 2.4014E-09 5.9297E-11 7.1219E-09 -2.2088E-12 -1.1632E-10 5.0068E-09 2.8631E-07 -1.8556E-14 -2.2088E-12 3.6939E-13 -3.6347E-13 -1.5580E-12 -8.8880E-11 -9.7514E-13 -1.1632E-10 -3.6347E-13 2.7598E-12 -8.1786E-11 -4.6768E-09 4.2056E-11 5.0068E-09 -1.5580E-12 -8.1786E-11 3.5310E-09 2.0146E-07 2.4014E-09 2.8631E-07 -8.8880E-11 -4.6768E-09 2.0146E-07 1.1514E-05 # lat0 lon0 xBary yBary zBary JD0 -2.756728 -6.494019 -0.551988 -0.039769 -0.824769 2459142.505034 # Heliocentric elements and errors Epoch: 2459140.5000 = 2020/10/18 Mean Anomaly: 11.86074 +/- 104.329 Argument of Peri: 237.82134 +/- 120.548 Long of Asc Node: 102.83713 +/- 0.182 Inclination: 2.84969 +/- 0.003 Eccentricity: 0.06830937 +/- 0.0304 Semi-Major Axis: 44.57397101 +/- 0.0999 Time of Perihelion: 2455559.2901 +/- 31500.8 Perihelion: 41.52915130 +/- 1.3592 Aphelion: 47.61879072 +/- 1.3602 Period (y) 297.5981 +/- 1.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.34939415 +/- 0.0980 Ecliptic Y -4.15630487 +/- 0.0112 Ecliptic Z -1.96085665 +/- 0.0047 Ecliptic XDOT 0.00031466 +/- 0.0004 Ecliptic YDOT 0.00273595 +/- 0.0000 Ecliptic ZDOT -0.00004553 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.60399290 +/- 0.0974 Geocenter to KBO 40.76879089 +/- 0.0988 # Hcoef: 8.49
The following table shows the complete astrometric record for 20UG74. 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 (20UG74) followed by the observatory code and reference code for the source of the astrometry.
2020 10 20.004233 23 40 31.788 -05 06 34.94 24.6r 20UG74 W84 C~7XOQ 2020 10 20.172968 23 40 31.158 -05 06 38.69 24.6r 20UG74 W84 C~7XOQ 2020 10 22.003924 23 40 24.611 -05 07 16.61 24.6r 20UG74 W84 C~7XOQ 2020 10 22.173214 23 40 23.996 -05 07 20.16 24.6r 20UG74 W84 C~7XOQ 2021 09 09.073508 23 48 42.565 -04 15 36.21 24.6r 20UG74 W84 C~7XOQ 2021 09 09.192572 23 48 42.043 -04 15 39.83 24.6r 20UG74 W84 C~7XOQ 2021 10 06.002765 23 46 43.666 -04 28 22.37 24.6r 20UG74 W84 C~7XOQ 2021 10 06.167954 23 46 42.947 -04 28 26.82 24.6r 20UG74 W84 C~7XOQ
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 0.06 0.00 0.10
2 0.0005 -10.13 -0.06 0.29 -0.04
3 0.0055 -114.96 0.05 4.30 0.01
4 0.0059 -124.80 -0.05 4.68 -0.06
5 0.8873 7952.14 -0.03 -115.70 0.08
6 0.8876 7943.52 0.03 -115.90 -0.08
7 0.9610 6013.58 0.05 -108.29 0.03
8 0.9614 6001.94 -0.05 -108.09 -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.
20UG74 quality flag:1 Type: CLASSICAL REMOVED CLASSICAL axisobj 44.477 52.318 44.334 ecceobj 0.067 0.378 0.063 incobj 2.853 2.863 2.851 qmin 40.760 30.180 40.507 qmax 48.213 73.470 48.102 amean 44.344 46.838 44.197 amin 43.991 40.695 43.854 amax 44.720 52.967 44.570 emean 0.063 0.328 0.064 emin 0.047 0.245 0.048 emax 0.078 0.390 0.079 imean 1.304 1.640 1.378 imin 0.642 0.578 0.627 imax 1.919 2.756 2.027 excite_mean 0.067 0.329 0.069 fracstop 1.000 0.157 1.000 cjmean 3.100 2.997 3.098 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 157.9 190.6 169.2 kozaiamp 179.8 179.5 180.0