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: 20MG53
# Created Fri Nov 1 01:10:44 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 50.98d
# First observation: 2020/06/24
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.029021 -0.000000 -0.001527 0.023999 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.01 DOF: 13 RMS: 0.00
# Min/Max residuals: -0.01 0.01
# Exact a, adot, b, bdot, g, gdot:
1.463888E-05 2.099047E-02 -1.130619E-06 -1.598061E-03 2.269285E-02 -4.170602E-03
# Covariance matrix:
2.5552E-12 3.0324E-09 -6.7136E-16 3.0121E-11 4.5702E-10 -2.3564E-08
3.0324E-09 4.4629E-06 -8.7748E-13 4.4523E-08 6.6916E-07 -3.5657E-05
-6.7136E-16 -8.7748E-13 4.8607E-13 -3.5740E-12 -1.6666E-13 -6.4475E-12
3.0121E-11 4.4523E-08 -3.5740E-12 4.9096E-10 6.5972E-09 -3.8585E-07
4.5702E-10 6.6916E-07 -1.6666E-13 6.5972E-09 1.0119E-07 -5.0200E-06
-2.3564E-08 -3.5657E-05 -6.4475E-12 -3.8585E-07 -5.0200E-06 4.1006E-04
# lat0 lon0 xBary yBary zBary JD0
2.243710 -74.476164 0.221984 0.038410 -0.983866 2459024.937281
# Heliocentric elements and errors
Epoch: 2459020.5000 = 2020/06/20
Mean Anomaly: 289.34567 +/- 119.123
Argument of Peri: 246.84870 +/- 59.892
Long of Asc Node: 131.98643 +/- 2.318
Inclination: 4.86745 +/- 0.391
Eccentricity: 0.20082132 +/- 0.9470
Semi-Major Axis: 46.34888808 +/- 23.9121
Time of Perihelion: 2481640.5552 +/- 33882.6
Perihelion: 37.04104318 +/- 47.8735
Aphelion: 55.65673298 +/- 52.4517
Period (y) 315.5493 +/- 244.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.84044288 +/- 0.1651
Ecliptic Y -43.44147330 +/- 0.5947
Ecliptic Z 1.72524291 +/- 0.0242
Ecliptic XDOT 0.00231555 +/- 0.0005
Ecliptic YDOT 0.00115885 +/- 0.0024
Ecliptic ZDOT -0.00021259 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 45.05922939 +/- 0.5750
Geocenter to KBO 44.06674309 +/- 0.6177
# Hcoef: 9.44
The following table shows the complete astrometric record for 20MG53. 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 (20MG53) followed by the observatory code and reference code for the source of the astrometry.
2020 06 24.43648 19 06 16.388 -20 18 25.71 25.8r 20MG53 266 C~6c5f 2020 06 24.52739 19 06 15.961 -20 18 26.41 25.8r 20MG53 266 C~6c5f 2020 06 24.61708 19 06 15.540 -20 18 27.07 25.8r 20MG53 266 C~6c5f 2020 08 12.26680 19 02 37.858 -20 25 20.83 26.0r 20MG53 266 C~6c5f 2020 08 12.34843 19 02 37.550 -20 25 21.51 26.0r 20MG53 266 C~6c5f 2020 08 12.42950 19 02 37.244 -20 25 22.18 26.0r 20MG53 266 C~6c5f 2020 08 14.24286 19 02 30.664 -20 25 37.14 25.9r 20MG53 266 C~6c5f 2020 08 14.33285 19 02 30.334 -20 25 37.89 25.9r 20MG53 266 C~6c5f 2020 08 14.42134 19 02 30.011 -20 25 38.60 25.9r 20MG53 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 -0.00 0.00 0.00
2 0.0002 -6.05 0.00 -0.01 -0.00
3 0.0005 -12.01 -0.00 0.00 0.00
4 0.1337 -3100.37 -0.00 -72.16 -0.01
5 0.1339 -3104.74 0.00 -72.37 -0.00
6 0.1341 -3109.09 -0.00 -72.57 -0.01
7 0.1391 -3202.68 0.00 -77.46 0.01
8 0.1393 -3207.38 -0.00 -77.71 0.00
9 0.1396 -3211.97 0.00 -77.93 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.
20MG53 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