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: 20UD74 # Created Tue Apr 1 01:11:22 2025 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 2.00y # First observation: 2019/09/28 # Last observation: 2021/09/28 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.025279 0.000012 -0.004860 0.026142 0.000000 # Chi-squared of fit: 2.85 DOF: 14 RMS: 0.09 # Min/Max residuals: -0.18 0.24 # Exact a, adot, b, bdot, g, gdot: 1.559204E-05 2.526277E-02 -3.237257E-06 -4.856349E-03 2.587011E-02 -4.821194E-05 # Covariance matrix: 7.3166E-13 -5.2613E-13 -1.1994E-14 3.0159E-14 6.7590E-13 -3.1861E-12 -5.2613E-13 4.6004E-11 2.1665E-12 -8.6337E-12 9.0088E-11 9.0074E-10 -1.1994E-14 2.1665E-12 6.4322E-13 -7.8881E-13 4.2513E-12 4.2767E-11 3.0159E-14 -8.6337E-12 -7.8881E-13 1.9989E-12 -1.7031E-11 -1.7040E-10 6.7590E-13 9.0088E-11 4.2513E-12 -1.7031E-11 1.8272E-10 1.7766E-09 -3.1861E-12 9.0074E-10 4.2767E-11 -1.7040E-10 1.7766E-09 1.7778E-08 # lat0 lon0 xBary yBary zBary JD0 -2.455537 -9.126066 -0.240154 -0.041573 -0.969766 2458754.513078 # Heliocentric elements and errors Epoch: 2458750.5000 = 2019/09/24 Mean Anomaly: 130.05290 +/- 16.560 Argument of Peri: 61.68106 +/- 16.664 Long of Asc Node: 158.91787 +/- 0.002 Inclination: 11.11415 +/- 0.001 Eccentricity: 0.00886644 +/- 0.0046 Semi-Major Axis: 39.40259354 +/- 0.0598 Time of Perihelion: 2426114.0288 +/- 4155.1 Perihelion: 39.05323300 +/- 0.1900 Aphelion: 39.75195407 +/- 0.1904 Period (y) 247.3406 +/- 0.56 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.12984658 +/- 0.0199 Ecliptic Y -6.04909965 +/- 0.0032 Ecliptic Z -1.65626305 +/- 0.0009 Ecliptic XDOT 0.00040577 +/- 0.0000 Ecliptic YDOT 0.00264494 +/- 0.0000 Ecliptic ZDOT -0.00051349 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.62927841 +/- 0.0197 Geocenter to KBO 38.65464370 +/- 0.0202 # Hcoef: 9.00
The following table shows the complete astrometric record for 20UD74. 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 (20UD74) followed by the observatory code and reference code for the source of the astrometry.
2019 09 28.012277 23 30 20.878 -05 52 26.39 24.9r 20UD74 W84 C~7XOQ 2019 09 28.177548 23 30 20.123 -05 52 31.61 24.9r 20UD74 W84 C~7XOQ 2020 10 16.001792 23 34 48.193 -05 42 18.31 24.8r 20UD74 W84 C~7XOQ 2020 10 16.175804 23 34 47.497 -05 42 22.91 24.8r 20UD74 W84 C~7XOQ 2020 10 20.004233 23 34 32.953 -05 43 57.44 24.9r 20UD74 W84 C~7XOQ 2020 10 20.172968 23 34 32.295 -05 44 01.83 24.9r 20UD74 W84 C~7XOQ 2020 10 22.003924 23 34 25.653 -05 44 44.66 24.9r 20UD74 W84 C~7XOQ 2020 10 22.173214 23 34 25.032 -05 44 48.53 24.9r 20UD74 W84 C~7XOQ 2021 09 28.012693 23 41 53.862 -05 14 13.89 25.0r 20UD74 W84 C~7XOQ 2021 09 28.164156 23 41 53.156 -05 14 18.42 25.0r 20UD74 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 0.06
2 0.0005 -12.41 0.03 -0.35 -0.07
3 1.0513 3904.76 0.04 -1020.32 0.00
4 1.0518 3893.39 -0.05 -1020.42 -0.12
5 1.0623 3656.55 0.24 -1021.11 0.11
6 1.0627 3645.79 -0.18 -1021.24 -0.09
7 1.0677 3537.77 -0.02 -1021.25 0.04
8 1.0682 3527.72 -0.03 -1021.13 0.08
9 2.0014 10414.70 -0.04 -2006.10 -0.12
10 2.0018 10403.19 0.03 -2006.04 0.11
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.
20UD74 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 39.423 39.561 39.293 ecceobj 0.005 0.008 0.014 incobj 11.102 11.100 11.104 qmin 36.630 36.580 34.381 qmax 42.808 42.590 45.336 amean 39.470 39.486 39.297 amin 39.041 39.078 38.886 amax 39.926 39.869 40.064 emean 0.038 0.030 0.054 emin 0.001 0.001 0.000 emax 0.073 0.070 0.132 imean 9.525 12.254 7.515 imin 7.810 9.810 4.509 imax 13.294 14.457 10.223 excite_mean 0.171 0.215 0.145 fracstop 1.000 1.000 1.000 cjmean 3.022 2.998 3.028 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 178.4 176.9 179.9 kozaiamp 179.9 180.0 179.9