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: 20MD53
# Created Tue May 7 01:17:48 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 53.97d
# First observation: 2020/06/20
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
-0.000003 0.027714 -0.000000 -0.001881 0.025680 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.19 DOF: 19 RMS: 0.02
# Min/Max residuals: -0.04 0.05
# Exact a, adot, b, bdot, g, gdot:
1.620702E-05 2.619773E-02 -1.001932E-06 -1.896678E-03 2.549313E-02 2.415610E-03
# Covariance matrix:
4.6215E-12 7.0382E-09 -8.4627E-13 4.3237E-11 1.1923E-09 2.7777E-10
7.0382E-09 1.1713E-05 -1.4084E-09 7.2876E-08 1.9737E-06 -2.6908E-06
-8.4627E-13 -1.4084E-09 3.4712E-13 -1.0110E-11 -2.3732E-10 3.2530E-10
4.3237E-11 7.2876E-08 -1.0110E-11 4.8774E-10 1.2264E-08 -2.1756E-08
1.1923E-09 1.9737E-06 -2.3732E-10 1.2264E-08 3.3275E-07 -3.9928E-07
2.7777E-10 -2.6908E-06 3.2530E-10 -2.1756E-08 -3.9928E-07 1.7495E-05
# lat0 lon0 xBary yBary zBary JD0
2.480239 -71.968103 0.329246 0.041155 -0.953334 2459020.956631
# Heliocentric elements and errors
Epoch: 2459020.5000 = 2020/06/20
Mean Anomaly: 35.78783 +/- 71.795
Argument of Peri: 103.92324 +/- 89.930
Long of Asc Node: 138.05360 +/- 3.524
Inclination: 4.76348 +/- 0.499
Eccentricity: 0.12701698 +/- 0.1751
Semi-Major Axis: 44.48453789 +/- 9.0784
Time of Perihelion: 2448247.2949 +/- 21359.3
Perihelion: 38.83424608 +/- 11.1109
Aphelion: 50.13482970 +/- 12.8579
Period (y) 296.7029 +/- 90.83
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.11908260 +/- 0.2744
Ecliptic Y -38.28071258 +/- 0.8432
Ecliptic Z 1.69754656 +/- 0.0384
Ecliptic XDOT 0.00276633 +/- 0.0003
Ecliptic YDOT 0.00061992 +/- 0.0005
Ecliptic ZDOT -0.00019251 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.18913762 +/- 0.8074
Geocenter to KBO 39.22625065 +/- 0.8876
# Hcoef: 9.98
The following table shows the complete astrometric record for 20MD53. 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 (20MD53) followed by the observatory code and reference code for the source of the astrometry.
2020 06 20.45583 19 16 44.385 -19 45 58.11 25.6r 20MD53 266 C~6c5f 2020 06 20.52860 19 16 44.023 -19 45 58.75 25.6r 20MD53 266 C~6c5f 2020 06 20.62233 19 16 43.559 -19 45 59.57 25.6r 20MD53 266 C~6c5f 2020 06 22.44948 19 16 34.601 -19 46 15.99 26.1r 20MD53 266 C~6c5f 2020 06 22.52092 19 16 34.241 -19 46 16.65 26.1r 20MD53 266 C~6c5f 2020 06 22.59118 19 16 33.888 -19 46 17.27 26.1r 20MD53 266 C~6c5f 2020 06 25.44823 19 16 19.658 -19 46 43.90 26.2r 20MD53 266 C~6c5f 2020 06 25.52653 19 16 19.257 -19 46 44.64 26.2r 20MD53 266 C~6c5f 2020 06 25.60648 19 16 18.849 -19 46 45.38 26.2r 20MD53 266 C~6c5f 2020 08 13.24332 19 12 19.486 -19 55 21.74 25.8r 20MD53 266 C~6c5f 2020 08 13.33331 19 12 19.108 -19 55 22.69 25.8r 20MD53 266 C~6c5f 2020 08 13.42301 19 12 18.733 -19 55 23.61 25.8r 20MD53 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 -0.04
2 0.0002 -5.15 0.00 0.03 -0.03
3 0.0005 -11.75 0.01 0.08 -0.04
4 0.0055 -139.26 -0.01 0.33 0.05
5 0.0057 -144.39 -0.01 0.34 0.04
6 0.0058 -149.41 -0.01 0.37 0.05
7 0.0137 -352.03 0.01 0.16 -0.01
8 0.0139 -357.74 0.00 0.17 -0.01
9 0.0141 -363.54 0.00 0.18 -0.01
10 0.1473 -3779.31 0.01 -82.12 -0.00
11 0.1475 -3784.72 -0.01 -82.40 -0.00
12 0.1478 -3790.09 0.00 -82.65 0.00
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.
20MD53 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