Orbit Fit and Astrometric record for 09MG10

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: 09MG10    
# Created Tue Dec  7 02:10:48 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:   8.02y
# First observation: 2009/06/27
#  Last observation: 2017/07/03
# Chi-squared of fit:    66.23 DOF:     36 RMS:  0.31
# Min/Max residuals:    -0.75    0.76
# Exact a, adot, b, bdot, g, gdot:
  2.104132E-05  3.774975E-02 -5.712742E-06 -1.059777E-02  3.151534E-02  6.986198E-03
# Covariance matrix:
  2.2613E-13 -7.3147E-14 -6.4503E-15  1.3968E-14  1.7275E-13 -1.6020E-13
 -7.3147E-14  2.5878E-13  3.2746E-14 -7.2751E-14  1.8283E-13  8.5273E-13
 -6.4503E-15  3.2746E-14  1.3986E-13 -2.9213E-14  2.5174E-14  1.1121E-13
  1.3968E-14 -7.2751E-14 -2.9213E-14  2.8474E-14 -5.6900E-14 -2.4718E-13
  1.7275E-13  1.8283E-13  2.5174E-14 -5.6900E-14  6.9844E-13  6.7631E-13
 -1.6020E-13  8.5273E-13  1.1121E-13 -2.4718E-13  6.7631E-13  2.8981E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.592249  -58.036932    0.451549   -0.197566   -0.884394  2455009.772146
# Heliocentric elements and errors
Epoch:              2455010.5000  =  2009/06/28
Mean Anomaly:           16.35860 +/-     0.006
Argument of Peri:      182.68285 +/-     0.010
Long of Asc Node:       84.40533 +/-     0.000
Inclination:            19.93400 +/-     0.000
Eccentricity:         0.35780842 +/-    0.0001
Semi-Major Axis:     48.27415069 +/-    0.0078
Time of Perihelion: 2449443.5920 +/-       2.3
Perihelion:          31.00125294 +/-    0.0064
Aphelion:            65.54704845 +/-    0.0113
Period (y)              335.4132 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           16.49346525 +/-    0.0004
Ecliptic Y          -27.28369536 +/-    0.0007
Ecliptic Z           -6.91778403 +/-    0.0002
Ecliptic XDOT         0.00299420 +/-    0.0000
Ecliptic YDOT         0.00140826 +/-    0.0000
Ecliptic ZDOT        -0.00103093 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.62335912 +/-    0.0006
Geocenter to KBO     31.73051051 +/-    0.0008
# Hcoef:  6.96

The following table shows the complete astrometric record for 09MG10. 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 (09MG10) followed by the observatory code and reference code for the source of the astrometry.

2009 06  27.27138  20 30 03.532  -31 57 47.39  21.7R 09MG10    807  C~0LKv      
2009 06  27.32851  20 30 03.193  -31 57 49.27  21.6R 09MG10    807  C~0LKv      
2009 06  27.38056  20 30 02.916  -31 57 51.36  21.9R 09MG10    807  C~0LKv      
2009 07  18.05903  20 27 55.829  -32 09 12.17        09MG10    I11  C~0LKv      
2009 07  18.11666  20 27 55.478  -32 09 14.17        09MG10    I11  C~0LKv      
2009 07  18.16319  20 27 55.160  -32 09 15.69        09MG10    I11  C~0LKv      
2009 08  24.99028  20 23 52.134  -32 22 31.42  22.2r 09MG10    304  C~0LKw      
2009 08  25.02361  20 23 51.942  -32 22 31.80        09MG10    304  C~0LKw      
2010 06  10.416585 20 41 53.51   -31 48 35.0         09MG10    807  C~4qBx      
2010 06  10.427693 20 41 53.47   -31 48 35.4         09MG10    807  C~4qBx      
2010 06  10.437919 20 41 53.41   -31 48 36.1         09MG10    807  C~4qBx      
2010 06  11.312696 20 41 50.11   -31 49 08.7         09MG10    807  C~4qBx      
2010 06  11.330541 20 41 50.03   -31 49 09.3         09MG10    807  C~4qBx      
2011 08  21.182054 20 45 22.43   -32 24 31.0         09MG10    809  C~4qBx      
2011 08  21.211572 20 45 22.24   -32 24 31.4         09MG10    809  C~4qBx      
2011 08  21.239343 20 45 22.09   -32 24 32.0         09MG10    809  C~4qBx      
2017 07  02.330150 21 49 01.96   -30 52 01.6         09MG10    W84  C~4qBx      
2017 07  02.331528 21 49 01.96   -30 52 01.6         09MG10    W84  C~4qBx      
2017 07  03.308472 21 48 58.12   -30 52 43.1         09MG10    W84  C~4qBx      
2017 07  03.372037 21 48 57.84   -30 52 45.4         09MG10    W84  C~4qBx      
2017 07  03.373414 21 48 57.86   -30 52 45.7         09MG10    W84  C~4qBx      

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    -0.52       0.00    -0.03
     2   0.0002      0.00    -0.75       0.00     0.10
     3   0.0003      0.00    -0.48       0.00    -0.17
     4   0.0569      0.00    -0.29       0.00     0.29
     5   0.0571      0.00     0.19       0.00     0.05
     6   0.0572      0.00     0.09       0.00    -0.06
     7   0.1608      0.00     0.53       0.00     0.01
     8   0.1609      0.00     0.53       0.00     0.00
     9   0.9532      0.00     0.73       0.00     0.23
    10   0.9532      0.00     0.76       0.00     0.24
    11   0.9532      0.00     0.44       0.00    -0.09
    12   0.9556      0.00    -0.21       0.00    -0.19
    13   0.9557      0.00    -0.37       0.00    -0.12
    14   2.1490      0.00    -0.30       0.00    -0.14
    15   2.1490      0.00    -0.39       0.00    -0.05
    16   2.1491      0.00    -0.05       0.00    -0.19
    17   8.0139      0.00     0.04       0.00    -0.08
    18   8.0139      0.00     0.13       0.00    -0.02
    19   8.0165      0.00     0.02       0.00    -0.12
    20   8.0167      0.00    -0.28       0.00     0.27
    21   8.0167      0.00     0.10       0.00     0.03

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.

09MG10    quality flag:2

Type:           2:1E  CENTAURR      2:1E

axisobj        47.702    47.702    47.702
ecceobj         0.351     0.351     0.351
incobj         19.985    19.985    19.985
qmin           28.796    29.999    29.946
qmax           67.901    67.141    66.896
amean          47.796    47.748    47.796
amin           47.040    45.072    47.007
amax           48.806    48.795    48.700
emean           0.353     0.358     0.357
emin            0.312     0.324     0.339
emax            0.398     0.376     0.374
imean          18.776    18.095    18.147
imin           16.158    17.697    17.534
imax           20.661    18.665    18.917
excite_mean     0.478     0.474     0.473
fracstop        1.000     0.212     1.000
cjmean          2.861     2.868     2.868

libcent 0       178.8    -180.0     180.1
libamp  0       161.1    -180.0     161.2
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       178.9     263.9     187.8
kozaiamp        180.0      85.6     179.9