Orbit Fit and Astrometric record for 09MF10

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: 09MF10    
# Created Tue Oct 24 01:37:47 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   11 observations of   14
# Arc:   1.14y
# First observation: 2009/06/27
#  Last observation: 2010/08/18
# Chi-squared of fit:   195.09 DOF:   16 RMS:  0.74
# Min/Max residuals:    -1.04    1.55
# Exact a, adot, b, bdot, g, gdot:
  1.951794E-05  3.019110E-02  9.656077E-06  1.346828E-02  2.896762E-02  1.418869E-02
# Covariance matrix:
  4.0891E-13  6.6878E-13 -3.5478E-14  7.0521E-13  7.9358E-13  4.4455E-11
  6.6878E-13  3.2186E-11 -1.6745E-12  3.4041E-11  1.4517E-11  2.1380E-09
 -3.5478E-14 -1.6745E-12  3.2694E-13 -2.0360E-12 -7.3487E-13 -1.1392E-10
  7.0521E-13  3.4041E-11 -2.0360E-12  3.7323E-11  1.4897E-11  2.3175E-09
  7.9358E-13  1.4517E-11 -7.3487E-13  1.4897E-11  7.6560E-12  9.3604E-10
  4.4455E-11  2.1380E-09 -1.1392E-10  2.3175E-09  9.3604E-10  1.4554E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.739400  -62.897493    0.373275   -0.191491   -0.921455  2455009.763826
# Heliocentric elements and errors
Epoch:              2455010.5000  =  2009/06/28
Mean Anomaly:           22.10906 +/-    62.525
Argument of Peri:      263.33375 +/-     0.007
Long of Asc Node:      320.84078 +/-     0.001
Inclination:            26.11463 +/-     0.001
Eccentricity:         0.52709240 +/-    0.0141
Semi-Major Axis:     57.97288714 +/-    0.0136
Time of Perihelion: 2445108.9390 +/-   28001.9
Perihelion:          27.41581871 +/-    0.8151
Aphelion:            88.52995557 +/-    0.8153
Period (y)              441.4135 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           15.49853015 +/-    0.0014
Ecliptic Y          -31.09931185 +/-    0.0028
Ecliptic Z           -7.02338334 +/-    0.0006
Ecliptic XDOT         0.00326096 +/-    0.0000
Ecliptic YDOT        -0.00009492 +/-    0.0000
Ecliptic ZDOT         0.00097337 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.44969697 +/-    0.0025
Geocenter to KBO     34.52107781 +/-    0.0032
# Hcoef:  5.98

The following table shows the complete astrometric record for 09MF10. 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 (09MF10) followed by the observatory code and reference code for the source of the astrometry.

2009 06  27.26306  20 07 17.926  -32 13 58.72  21.3R 09MF10    807  C~0KZ8      
2009 06  27.31899  20 07 17.594  -32 13 59.99  21.0R 09MF10    807  C~0KZ8      
2009 06  27.37050  20 07 17.288  -32 14 00.92  21.1R 09MF10    807  C~0KZ8      
2009 07  18.03889  20 05 06.318  -32 18 43.92        09MF10    I11  C~0KZ8      
2009 07  18.09722  20 05 05.934  -32 18 44.89        09MF10    I11  C~0KZ8      
2009 08  24.98542  20 01 10.992  -32 20 28.14  21.5r 09MF10    I11  C~0KZ8      
2009 08  25.01875  20 01 10.825  -32 20 27.98        09MF10    304  C~0KZ8      
2010 08  13.06113  20 09 21.105  -31 14 32.97  20.8R 09MF10    807              
2010 08  13.09605  20 09 20.905  -31 14 33.04        09MF10    807              
2010 08  13.10663  20 09 20.837  -31 14 33.11        09MF10    807              
2010 08  18.23177  20 08 59.345  -31 14 57.87  21.7r 09MF10    304  C~0U0F      
2010 08  18.23879  20 08 59.302  -31 14 58.20        09MF10    304  C~0U0F      
2010 08  18.24949  20 08 59.251  -31 14 58.95        09MF10    304  C~0U0F      
2010 08  19.24210  20 08 53.606  -31 14 57.70        09MF10    304  C~0U0F      

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    -0.24       0.00     0.06
  2   0.0002      0.00    -0.45       0.00    -0.94
  3   0.0003      0.00    -0.39       0.00    -1.04
  4   0.0569      0.00     1.48       0.00     1.42
  5   0.0570      0.00     1.55       0.00     1.11
  6   0.1608      0.00    -0.72       0.00     0.13
  7   0.1609      0.00    -0.56       0.00     0.10
  8   1.1274      0.00 (-127.61)      0.00 (  21.33)
  9   1.1275      0.00 (-127.43)      0.00 (  21.34)
 10   1.1276      0.00 (-127.48)      0.00 (  21.29)
 11   1.1416      0.00     0.05       0.00     0.44
 12   1.1416      0.00     0.01       0.00     0.10
 13   1.1416      0.00     0.18       0.00    -0.66
 14   1.1444      0.00     0.06       0.00    -0.05

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.

09MF10    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        57.053    57.053    57.052
ecceobj         0.521     0.521     0.521
incobj         26.157    26.157    26.157
qmin           26.921    26.876    26.906
qmax           89.470    89.572    89.524
amean          57.291    57.067    57.067
amin           55.443    54.272    55.567
amax           58.493    58.517    58.521
emean           0.513     0.506     0.505
emin            0.483     0.453     0.465
emax            0.532     0.532     0.532
imean          28.310    28.580    28.696
imin           27.393    27.391    27.394
imax           29.552    30.669    30.516
excite_mean     0.698     0.697     0.697
fracstop        0.110     0.115     0.122
cjmean          2.602     2.603     2.603

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       293.8     296.8     299.1
kozaiamp         31.8      37.4      39.0