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: 20MC53
# Created Fri Nov 1 01:10:44 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 5.15d
# First observation: 2020/06/20
# Last observation: 2020/06/25
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.019937 -0.000000 -0.001789 0.021885 0.000000
# WARNING Fitting with energy constraint
# WARNING -- MRQMIN stopped after 19 iterations
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 0.10 DOF: 13 RMS: 0.02
# Min/Max residuals: -0.04 0.02
# Exact a, adot, b, bdot, g, gdot:
1.438657E-05 1.996520E-02 -1.406742E-06 -1.788509E-03 2.188034E-02 3.985028E-03
# Covariance matrix:
7.7429E-11 1.1019E-07 -1.3047E-12 -1.3124E-09 1.8514E-08 -3.1583E-07
1.1019E-07 1.5760E-04 -1.8654E-09 -1.8765E-06 2.6472E-05 -4.5371E-04
-1.3047E-12 -1.8654E-09 3.6284E-13 -8.0722E-12 -3.1334E-10 5.3499E-09
-1.3124E-09 -1.8765E-06 -8.0722E-12 2.7507E-08 -3.1520E-07 5.3915E-06
1.8514E-08 2.6472E-05 -3.1334E-10 -3.1520E-07 4.4466E-06 -7.6056E-05
-3.1583E-07 -4.5371E-04 5.3499E-09 5.3915E-06 -7.6056E-05 1.8924E-03
# lat0 lon0 xBary yBary zBary JD0
2.314805 -71.883749 0.330650 0.038382 -0.952964 2459020.956631
# Heliocentric elements and errors
Epoch: 2459020.5000 = 2020/06/20
Mean Anomaly: 67.75834 +/- 117.077
Argument of Peri: 66.41841 +/- 274.311
Long of Asc Node: 131.73201 +/- 10.933
Inclination: 5.55532 +/- 2.383
Eccentricity: 0.19082603 +/- 2.1104
Semi-Major Axis: 48.51556110 +/- 25.0230
Time of Perihelion: 2435788.8379 +/- 35892.4
Perihelion: 39.25752904 +/- 104.3711
Aphelion: 57.77359315 +/- 106.6362
Period (y) 337.9324 +/- 261.44
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 14.18774458 +/- 1.3682
Ecliptic Y -44.41809544 +/- 4.1830
Ecliptic Z 1.84596094 +/- 0.1779
Ecliptic XDOT 0.00254015 +/- 0.0010
Ecliptic YDOT 0.00029852 +/- 0.0056
Ecliptic ZDOT -0.00020370 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 46.66547836 +/- 4.0032
Geocenter to KBO 45.70313554 +/- 4.4046
# Hcoef: 8.58
The following table shows the complete astrometric record for 20MC53. 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 (20MC53) followed by the observatory code and reference code for the source of the astrometry.
2020 06 20.45583 19 17 11.241 -19 55 08.72 25.2r 20MC53 266 C~6c5f 2020 06 20.52860 19 17 10.924 -19 55 09.31 25.2r 20MC53 266 C~6c5f 2020 06 20.62233 19 17 10.516 -19 55 10.04 25.2r 20MC53 266 C~6c5f 2020 06 22.44948 19 17 02.645 -19 55 24.95 25.2r 20MC53 266 C~6c5f 2020 06 22.52092 19 17 02.330 -19 55 25.54 25.2r 20MC53 266 C~6c5f 2020 06 22.59118 19 17 02.020 -19 55 26.10 25.2r 20MC53 266 C~6c5f 2020 06 25.44823 19 16 49.521 -19 55 49.93 25.1r 20MC53 266 C~6c5f 2020 06 25.52653 19 16 49.169 -19 55 50.59 25.1r 20MC53 266 C~6c5f 2020 06 25.60648 19 16 48.812 -19 55 51.25 25.1r 20MC53 266 C~6c5f
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 0.01 0.00 0.02
2 0.0002 -4.51 0.01 0.00 0.02
3 0.0005 -10.31 0.02 0.04 0.02
4 0.0055 -122.31 -0.02 -0.15 -0.03
5 0.0057 -126.79 -0.01 -0.16 -0.04
6 0.0058 -131.19 -0.01 -0.14 -0.03
7 0.0137 -309.06 0.01 -0.64 0.01
8 0.0139 -314.06 0.00 -0.64 0.01
9 0.0141 -319.14 0.02 -0.64 0.01
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.
20MC53 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