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: 20UZ73 # Created Tue Apr 1 01:11:22 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 2.10y # First observation: 2019/08/28 # Last observation: 2021/10/04 Preliminary a, adot, b, bdot, g, gdot: 0.000012 0.023682 0.000000 -0.000169 0.023858 0.000000 # Chi-squared of fit: 1.94 DOF: 18 RMS: 0.07 # Min/Max residuals: -0.17 0.10 # Exact a, adot, b, bdot, g, gdot: 1.548007E-05 2.366626E-02 -2.210496E-07 -1.689069E-04 2.379989E-02 2.354353E-04 # Covariance matrix: 6.5880E-13 5.0925E-13 7.5651E-16 -5.3479E-15 1.2577E-12 1.5203E-11 5.0925E-13 3.7561E-12 4.8950E-15 -2.8900E-14 4.2505E-12 8.1918E-11 7.5651E-16 4.8950E-15 3.3298E-13 -1.9410E-13 5.3533E-15 1.1309E-13 -5.3479E-15 -2.8900E-14 -1.9410E-13 1.7925E-13 -3.3589E-14 -6.6346E-13 1.2577E-12 4.2505E-12 5.3533E-15 -3.3589E-14 6.0000E-12 9.5309E-11 1.5203E-11 8.1918E-11 1.1309E-13 -6.6346E-13 9.5309E-11 1.8804E-09 # lat0 lon0 xBary yBary zBary JD0 -0.467270 -7.716515 0.303785 -0.007806 -0.957555 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 3.87261 +/- 1.229 Argument of Peri: 223.16525 +/- 1.447 Long of Asc Node: 124.15051 +/- 0.072 Inclination: 0.61743 +/- 0.001 Eccentricity: 0.07832003 +/- 0.0002 Semi-Major Axis: 46.62089665 +/- 0.0122 Time of Perihelion: 2457469.7482 +/- 397.0 Perihelion: 42.96954661 +/- 0.0133 Aphelion: 50.27224669 +/- 0.0150 Period (y) 318.3311 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.54608263 +/- 0.0043 Ecliptic Y -6.07807935 +/- 0.0006 Ecliptic Z -0.34266853 +/- 0.0000 Ecliptic XDOT 0.00040069 +/- 0.0000 Ecliptic YDOT 0.00269477 +/- 0.0000 Ecliptic ZDOT -0.00001988 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.97940922 +/- 0.0042 Geocenter to KBO 42.01700179 +/- 0.0043 # Hcoef: 8.18
The following table shows the complete astrometric record for 20UZ73. 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 (20UZ73) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 32 23.584 -03 29 27.41 24.4r 20UZ73 W84 C~7XOQ 2019 08 28.388381 23 32 22.841 -03 29 32.18 24.4r 20UZ73 W84 C~7XOQ 2019 09 29.013696 23 30 08.008 -03 44 02.92 24.4r 20UZ73 W84 C~7XOQ 2019 09 29.177510 23 30 07.310 -03 44 07.42 24.4r 20UZ73 W84 C~7XOQ 2020 10 18.012125 23 33 51.541 -03 20 39.12 24.4r 20UZ73 W84 C~7XOQ 2020 10 18.176134 23 33 50.945 -03 20 42.99 24.4r 20UZ73 W84 C~7XOQ 2020 10 21.004397 23 33 41.190 -03 21 44.79 24.5r 20UZ73 W84 C~7XOQ 2020 10 21.174149 23 33 40.597 -03 21 48.43 24.5r 20UZ73 W84 C~7XOQ 2021 09 06.108763 23 41 46.206 -02 30 12.80 24.4r 20UZ73 W84 C~7XOQ 2021 09 06.196686 23 41 45.813 -02 30 15.04 24.4r 20UZ73 W84 C~7XOQ 2021 10 04.002582 23 39 47.051 -02 43 04.86 24.4r 20UZ73 W84 C~7XOQ 2021 10 04.175328 23 39 46.325 -02 43 09.42 24.4r 20UZ73 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 0.05 0.00 0.02
2 0.0005 -12.10 -0.08 0.01 0.01
3 0.0871 -2210.46 0.03 -3.52 0.07
4 0.0875 -2221.84 -0.02 -3.54 -0.02
5 1.1411 1418.60 0.07 -35.02 -0.02
6 1.1416 1408.88 -0.08 -35.05 -0.17
7 1.1493 1250.26 0.07 -34.08 -0.00
8 1.1498 1240.67 -0.04 -33.91 0.04
9 2.0257 9152.35 0.09 -72.83 -0.16
10 2.0260 9146.04 -0.05 -72.55 0.10
11 2.1021 7204.03 -0.01 -73.25 0.05
12 2.1026 7192.22 -0.05 -73.12 0.09
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.
20UZ73 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.691 46.719 46.664 ecceobj 0.080 0.081 0.080 incobj 0.614 0.613 0.614 qmin 42.279 42.280 42.216 qmax 51.058 51.172 51.028 amean 46.535 46.563 46.507 amin 46.152 46.187 46.128 amax 46.941 46.979 46.916 emean 0.076 0.076 0.076 emin 0.063 0.063 0.063 emax 0.088 0.089 0.088 imean 1.176 1.173 1.178 imin 0.799 0.800 0.800 imax 1.493 1.490 1.498 excite_mean 0.079 0.079 0.078 fracstop 1.000 1.000 1.000 cjmean 3.125 3.126 3.125 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 195.9 196.8 195.1 kozaiamp 180.0 180.0 180.0