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: 20UJ74 # 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: 0.000006 0.024476 0.000000 0.004996 0.024742 0.000000 # Chi-squared of fit: 1.22 DOF: 10 RMS: 0.07 # Min/Max residuals: -0.11 0.10 # Exact a, adot, b, bdot, g, gdot: 1.594131E-05 2.427769E-02 3.741541E-06 4.942508E-03 2.432519E-02 -7.369917E-03 # Covariance matrix: 8.2845E-13 5.0266E-11 -4.9679E-14 9.7931E-12 3.8269E-11 2.0724E-09 5.0266E-11 5.9662E-09 -5.6603E-12 1.1403E-09 4.2720E-09 2.4165E-07 -4.9679E-14 -5.6603E-12 3.7466E-13 -1.4772E-12 -4.1640E-12 -2.3042E-10 9.7931E-12 1.1403E-09 -1.4772E-12 2.1918E-10 8.2415E-10 4.6268E-08 3.8269E-11 4.2720E-09 -4.1640E-12 8.2415E-10 3.1957E-09 1.7445E-07 2.0724E-09 2.4165E-07 -2.3042E-10 4.6268E-08 1.7445E-07 9.8032E-06 # lat0 lon0 xBary yBary zBary JD0 -3.561815 -7.201663 -0.562144 -0.050927 -0.817261 2459142.505034 # Heliocentric elements and errors Epoch: 2459140.5000 = 2020/10/18 Mean Anomaly: 322.63092 +/- 6.004 Argument of Peri: 52.75854 +/- 7.746 Long of Asc Node: 10.21069 +/- 0.011 Inclination: 12.02066 +/- 0.008 Eccentricity: 0.33295646 +/- 0.1346 Semi-Major Axis: 52.59933440 +/- 5.6215 Time of Perihelion: 2473604.1782 +/- 153.2 Perihelion: 35.08604621 +/- 8.0096 Aphelion: 70.11262258 +/- 10.3074 Period (y) 381.4860 +/- 61.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.59564075 +/- 0.0946 Ecliptic Y -4.69432814 +/- 0.0120 Ecliptic Z -2.55383235 +/- 0.0059 Ecliptic XDOT -0.00043727 +/- 0.0004 Ecliptic YDOT 0.00281553 +/- 0.0000 Ecliptic ZDOT 0.00060653 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.93752622 +/- 0.0938 Geocenter to KBO 41.10964730 +/- 0.0955 # Hcoef: 8.87
The following table shows the complete astrometric record for 20UJ74. 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 (20UJ74) followed by the observatory code and reference code for the source of the astrometry.
2020 10 20.004233 23 39 12.435 -06 07 44.69 25.0r 20UJ74 W84 C~7XOQ 2020 10 20.172968 23 39 11.802 -06 07 47.48 25.0r 20UJ74 W84 C~7XOQ 2020 10 22.003924 23 39 05.163 -06 08 18.46 25.1r 20UJ74 W84 C~7XOQ 2020 10 22.173214 23 39 04.553 -06 08 21.18 25.1r 20UJ74 W84 C~7XOQ 2021 09 29.009779 23 45 24.727 -05 10 46.47 24.9r 20UJ74 W84 C~7XOQ 2021 09 29.166262 23 45 24.004 -05 10 50.19 24.9r 20UJ74 W84 C~7XOQ 2021 10 06.002765 23 44 53.926 -05 13 33.53 25.0r 20UJ74 W84 C~7XOQ 2021 10 06.167954 23 44 53.214 -05 13 37.33 25.0r 20UJ74 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 -0.03 0.00 -0.11
2 0.0005 -9.77 0.03 1.19 0.01
3 0.0055 -112.95 -0.07 12.05 0.04
4 0.0059 -122.38 0.07 13.16 0.06
5 0.9418 6460.81 0.06 923.22 -0.11
6 0.9423 6449.42 -0.06 924.12 0.10
7 0.9610 5971.82 -0.09 953.74 0.04
8 0.9614 5960.54 0.09 954.50 -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.
20UJ74 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0