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 Sun Oct 22 01:37:47 2017
# Orbit generated from Bernstein formalism
# Fitting    8 observations of    8
# Arc:  58.75d
# First observation: 2009/06/27
#  Last observation: 2009/08/25
Preliminary a, adot, b, bdot, g, gdot:
  -0.000016   0.038334  -0.000001  -0.010585   0.031552   0.000000
# Chi-squared of fit:     3.61 DOF:   10 RMS:  0.12
# Min/Max residuals:    -0.19    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.866886E-05  3.772411E-02 -5.265329E-06 -1.060150E-02  3.150229E-02  5.988182E-03
# Covariance matrix:
  4.9203E-13  1.0632E-11  3.8068E-14 -7.3467E-13  3.7283E-12  3.5331E-10
  1.0632E-11  4.7073E-08  7.7381E-11 -4.2754E-10  7.8567E-09 -1.8882E-08
  3.8068E-14  7.7381E-11  4.8934E-13 -3.6723E-12  1.3110E-11  1.3218E-11
 -7.3467E-13 -4.2754E-10 -3.6723E-12  5.4202E-11 -7.8444E-11 -1.5416E-09
  3.7283E-12  7.8567E-09  1.3110E-11 -7.8444E-11  1.3295E-09  9.5880E-10
  3.5331E-10 -1.8882E-08  1.3218E-11 -1.5416E-09  9.5880E-10  1.0123E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.592249  -58.036932    0.451548   -0.197566   -0.884394  2455009.772146
# Heliocentric elements and errors
Epoch:              2455000.5000  =  2009/06/18
Mean Anomaly:           14.92824 +/-     2.108
Argument of Peri:      187.04909 +/-     4.890
Long of Asc Node:       84.42748 +/-     0.152
Inclination:            19.94361 +/-     0.066
Eccentricity:         0.33895586 +/-    0.0187
Semi-Major Axis:     47.54209774 +/-    0.8371
Time of Perihelion: 2450035.4677 +/-     688.6
Perihelion:          31.42742529 +/-    1.0479
Aphelion:            63.65677019 +/-    1.4312
Period (y)              327.8127 +/-      8.66
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           16.50019415 +/-    0.0190
Ecliptic Y          -27.29462105 +/-    0.0304
Ecliptic Z           -6.92063588 +/-    0.0080
Ecliptic XDOT         0.00294870 +/-    0.0000
Ecliptic YDOT         0.00147954 +/-    0.0001
Ecliptic ZDOT        -0.00101276 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.63660439 +/-    0.0272
Geocenter to KBO     31.74372866 +/-    0.0367
# Hcoef:  6.99

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      

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     -4.65    -0.10      -0.75     0.16
  3   0.0003     -8.58     0.05      -1.90    -0.15
  4   0.0569  -1742.00    -0.19    -264.70     0.25
  5   0.0571  -1746.81     0.15    -265.56    -0.08
  6   0.0572  -1751.10     0.04    -266.05    -0.17
  7   0.1608  -4935.33     0.00    -302.59     0.00
  8   0.1609  -4937.78    -0.00    -302.39    -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.

09MG10    quality flag:1

Type:       CENTAURR   REMOVED  CENTAURS

axisobj        46.995    49.984    44.735
ecceobj         0.332     0.390     0.286
incobj         19.995    19.896    20.158
qmin           29.074    30.234    29.634
qmax           76.206    70.071    64.675
amean          48.901    50.001    46.067
amin           46.689    49.777    43.857
amax           53.345    50.361    47.654
emean           0.378     0.390     0.324
emin            0.328     0.384     0.277
emax            0.429     0.396     0.363
imean          15.875    18.449    16.757
imin           14.273    18.418    14.790
imax           18.553    18.484    18.725
excite_mean     0.467     0.502     0.434
fracstop        0.290     0.000     1.000
cjmean          2.888     2.850     2.894

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       212.3     179.8     176.8
kozaiamp        180.0       0.7     180.0