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: 20MP53
# Created Wed Nov 27 02:11:03 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 51.97d
# First observation: 2020/06/22
# Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.018273 -0.000001 -0.003485 0.020804 0.000000
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 14 iterations -- oscilliatory solution
# Chi-squared of fit: 0.87 DOF: 13 RMS: 0.05
# Min/Max residuals: -0.06 0.08
# Exact a, adot, b, bdot, g, gdot:
8.819928E-06 1.055210E-02 -2.945261E-06 -3.555663E-03 1.956743E-02 8.666366E-03
# Covariance matrix:
9.5727E-11 1.2046E-07 -8.9576E-12 9.5681E-10 2.0036E-08 -1.5605E-07
1.2046E-07 1.5229E-04 -1.1329E-08 1.2117E-06 2.5322E-05 -2.0126E-04
-8.9576E-12 -1.1329E-08 1.1002E-12 -9.2072E-11 -1.8835E-09 1.5019E-08
9.5681E-10 1.2117E-06 -9.2072E-11 9.6938E-09 2.0141E-07 -1.6278E-06
2.0036E-08 2.5322E-05 -1.8835E-09 2.0141E-07 4.2105E-06 -3.3332E-05
-1.5605E-07 -2.0126E-04 1.5019E-08 -1.6278E-06 -3.3332E-05 3.1705E-04
# lat0 lon0 xBary yBary zBary JD0
2.461001 -72.872736 0.281895 0.041480 -0.968336 2459022.950281
# Heliocentric elements and errors
Epoch: 2459020.5000 = 2020/06/20
Mean Anomaly: 85.07626 +/- 73.172
Argument of Peri: 22.91616 +/- 21.210
Long of Asc Node: 114.03747 +/- 8.347
Inclination: 18.55582 +/- 19.995
Eccentricity: 0.65581447 +/- 0.8687
Semi-Major Axis: 39.76027338 +/- 18.1578
Time of Perihelion: 2437379.4478 +/- 11254.7
Perihelion: 13.68491061 +/- 35.1018
Aphelion: 65.83563616 +/- 45.7934
Period (y) 250.7161 +/- 171.75
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 15.05807876 +/- 1.5764
Ecliptic Y -49.80998264 +/- 5.1170
Ecliptic Z 2.19435521 +/- 0.2302
Ecliptic XDOT 0.00178206 +/- 0.0008
Ecliptic YDOT -0.00073949 +/- 0.0029
Ecliptic ZDOT -0.00044521 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 52.08258155 +/- 4.9149
Geocenter to KBO 51.10532073 +/- 5.3592
# Hcoef: 9.46
The following table shows the complete astrometric record for 20MP53. 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 (20MP53) followed by the observatory code and reference code for the source of the astrometry.
2020 06 22.44948 19 12 56.312 -19 54 02.34 26.6r 20MP53 266 C~6c5f 2020 06 22.52092 19 12 56.008 -19 54 02.95 26.6r 20MP53 266 C~6c5f 2020 06 22.59118 19 12 55.710 -19 54 03.55 26.6r 20MP53 266 C~6c5f 2020 06 25.44823 19 12 43.674 -19 54 28.55 26.0r 20MP53 266 C~6c5f 2020 06 25.53213 19 12 43.312 -19 54 29.29 26.0r 20MP53 266 C~6c5f 2020 06 25.61487 19 12 42.956 -19 54 30.00 26.0r 20MP53 266 C~6c5f 2020 08 13.24332 19 09 21.796 -20 02 21.37 27.0r 20MP53 266 C~6c5f 2020 08 13.33331 19 09 21.476 -20 02 22.23 27.0r 20MP53 266 C~6c5f 2020 08 13.42301 19 09 21.157 -20 02 23.08 27.0r 20MP53 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 -0.06 0.00 0.01
2 0.0002 -4.33 -0.06 -0.07 0.02
3 0.0004 -8.58 -0.05 -0.14 0.01
4 0.0082 -180.12 0.07 -3.83 -0.02
5 0.0084 -185.28 0.07 -3.93 -0.02
6 0.0087 -190.35 0.08 -4.01 -0.02
7 0.1418 -3062.77 0.01 -126.53 -0.01
8 0.1421 -3067.35 0.01 -126.84 0.00
9 0.1423 -3071.91 -0.01 -127.15 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.
20MP53 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