Orbit Fit and Astrometric record for 20MM53

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: 20MM53    
# Created Fri Nov  1 01:10:44 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   0.031804  -0.000001  -0.000403   0.025772   0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit:     0.17 DOF:     19 RMS:  0.02
# Min/Max residuals:    -0.03    0.04
# Exact a, adot, b, bdot, g, gdot:
  1.415664E-05  2.145461E-02 -2.799503E-07 -4.516301E-04  2.409879E-02  5.393374E-03
# Covariance matrix:
  9.5144E-12  1.4469E-08 -1.2106E-12  6.5938E-11  2.4356E-09 -5.2241E-09
  1.4469E-08  2.2959E-05 -1.9189E-09  1.0485E-07  3.8546E-06 -1.1436E-05
 -1.2106E-12 -1.9189E-09  3.3809E-13 -1.0108E-11 -3.2220E-10  9.4504E-10
  6.5938E-11  1.0485E-07 -1.0108E-11  5.1178E-10  1.7600E-08 -5.3549E-08
  2.4356E-09  3.8546E-06 -3.2220E-10  1.7600E-08  6.4734E-07 -1.8636E-06
 -5.2241E-09 -1.1436E-05  9.4504E-10 -5.3549E-08 -1.8636E-06  2.3834E-05
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.725970  -72.400948    0.322028    0.028675   -0.956252  2459020.956631
# Heliocentric elements and errors
Epoch:              2459020.5000  =  2020/06/20
Mean Anomaly:           97.00125 +/-    77.247
Argument of Peri:        1.56656 +/-    45.709
Long of Asc Node:      162.15235 +/-     7.242
Inclination:             2.05932 +/-     0.184
Eccentricity:         0.25001657 +/-    0.2639
Semi-Major Axis:     39.05368980 +/-    8.0608
Time of Perihelion: 2435000.8665 +/-   17623.1
Perihelion:          29.28962011 +/-   11.9484
Aphelion:            48.81775949 +/-   14.4133
Period (y)              244.0626 +/-     75.56
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.52882009 +/-    0.4186
Ecliptic Y          -40.55177720 +/-    1.3200
Ecliptic Z            1.24989153 +/-    0.0417
Ecliptic XDOT         0.00251705 +/-    0.0004
Ecliptic YDOT         0.00015554 +/-    0.0006
Ecliptic ZDOT        -0.00003306 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.46151428 +/-    1.2667
Geocenter to KBO     41.49586298 +/-    1.3854
# Hcoef: 10.44

The following table shows the complete astrometric record for 20MM53. 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 (20MM53) followed by the observatory code and reference code for the source of the astrometry.

2020 06  20.45583  19 15 19.727  -20 34 12.45  26.6r 20MM53    266  C~6c5f      
2020 06  20.52860  19 15 19.373  -20 34 13.04  26.6r 20MM53    266  C~6c5f      
2020 06  20.62233  19 15 18.918  -20 34 13.79  26.6r 20MM53    266  C~6c5f      
2020 06  22.44948  19 15 10.133  -20 34 28.82  26.5r 20MM53    266  C~6c5f      
2020 06  22.52092  19 15 09.781  -20 34 29.41  26.5r 20MM53    266  C~6c5f      
2020 06  22.59118  19 15 09.435  -20 34 29.98  26.5r 20MM53    266  C~6c5f      
2020 06  25.44823  19 14 55.486  -20 34 54.20  26.8r 20MM53    266  C~6c5f      
2020 06  25.53213  19 14 55.066  -20 34 54.91  26.8r 20MM53    266  C~6c5f      
2020 06  25.61487  19 14 54.653  -20 34 55.60  26.8r 20MM53    266  C~6c5f      
2020 08  13.24332  19 11 00.854  -20 42 22.05  26.6r 20MM53    266  C~6c5f      
2020 08  13.33331  19 11 00.485  -20 42 22.84  26.6r 20MM53    266  C~6c5f      
2020 08  13.42301  19 11 00.117  -20 42 23.60  26.6r 20MM53    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    -0.02       0.00    -0.00
     2   0.0002     -5.01    -0.01       0.05    -0.00
     3   0.0005    -11.44    -0.00       0.13    -0.01
     4   0.0055   -135.72     0.01       1.06     0.03
     5   0.0057   -140.70     0.01       1.11     0.03
     6   0.0058   -145.59     0.01       1.16     0.04
     7   0.0137   -342.96    -0.01       2.22    -0.03
     8   0.0139   -348.90    -0.00       2.27    -0.03
     9   0.0141   -354.74     0.01       2.33    -0.03
    10   0.1473  -3666.98     0.00     -30.89     0.01
    11   0.1475  -3672.22     0.00     -31.04    -0.00
    12   0.1478  -3677.44    -0.01     -31.17    -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.

20MM53    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