Orbit Fit and Astrometric record for 07FM51

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: 07FM51    
# Created Sun Oct 22 01:37:42 2017
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   29
# Arc:  10.95y
# First observation: 2004/05/12
#  Last observation: 2015/04/24
Preliminary a, adot, b, bdot, g, gdot:
   0.000602   0.022266   0.000154   0.007728   0.023603   0.000000
# Chi-squared of fit:    20.19 DOF:   46 RMS:  0.16
# Min/Max residuals:    -0.36    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.448825E-05  2.246193E-02  6.335644E-06  7.767901E-03  2.384887E-02  2.911992E-03
# Covariance matrix:
  4.3082E-13 -1.6503E-13  8.6495E-14 -4.4741E-14 -1.1566E-14 -5.0355E-13
 -1.6503E-13  9.2154E-14 -4.9798E-14  2.8189E-14 -3.1162E-14  3.1491E-13
  8.6495E-14 -4.9798E-14  2.2739E-13 -5.3241E-14  3.3340E-15 -1.9277E-13
 -4.4741E-14  2.8189E-14 -5.3241E-14  1.8996E-14 -9.1865E-15  1.0755E-13
 -1.1566E-14 -3.1162E-14  3.3340E-15 -9.1865E-15  1.1571E-13 -9.6192E-14
 -5.0355E-13  3.1491E-13 -1.9277E-13  1.0755E-13 -9.6192E-14  1.2029E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   23.091044  154.435790   -0.985803    0.085282   -0.199922  2453137.715985
# Heliocentric elements and errors
Epoch:              2453130.5000  =  2004/05/05
Mean Anomaly:           51.89538 +/-     0.013
Argument of Peri:      344.55175 +/-     0.015
Long of Asc Node:      106.56242 +/-     0.000
Inclination:            29.19364 +/-     0.000
Eccentricity:         0.16382018 +/-    0.0001
Semi-Major Axis:     45.90017935 +/-    0.0040
Time of Perihelion: 2436756.8231 +/-       3.5
Perihelion:          38.38080350 +/-    0.0045
Aphelion:            53.41955521 +/-    0.0056
Period (y)              310.9781 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -35.42082603 +/-    0.0005
Ecliptic Y           15.85025250 +/-    0.0002
Ecliptic Z           16.44522822 +/-    0.0002
Ecliptic XDOT        -0.00107745 +/-    0.0000
Ecliptic YDOT        -0.00235137 +/-    0.0000
Ecliptic ZDOT         0.00095154 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.14630413 +/-    0.0004
Geocenter to KBO     41.93071331 +/-    0.0006
# Hcoef:  6.60

The following table shows the complete astrometric record for 07FM51. 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 (07FM51) followed by the observatory code and reference code for the source of the astrometry.

2004 05  12.215242 11 03 39.89   +31 10 47.9   22.4V 07FM51    645  C~2KuA      
2004 05  12.216071 11 03 39.89   +31 10 47.9   22.7V 07FM51    645  C~2KuA      
2004 05  12.218559 11 03 39.89   +31 10 47.9   23.5V 07FM51    645  C~2KuA      
2007 03  21.40321  11 25 42.58   +30 41 09.1   22.8r 07FM51    568  C~1Q3X      
2007 03  21.44451  11 25 42.38   +30 41 10.0   23.3r 07FM51    568  C~1Q3X      
2007 03  21.48567  11 25 42.17   +30 41 11.0   22.9r 07FM51    568  C~1Q3X      
2007 04  14.41098  11 23 52.20   +30 46 00.5         07FM51    568  C~1Q3X      
2007 04  14.42434  11 23 52.15   +30 46 00.5         07FM51    568  C~1Q3X      
2007 04  14.43749  11 23 52.09   +30 46 00.6         07FM51    568  C~1Q3X      
2007 05  15.24253  11 22 22.21   +30 40 44.6   22.4r 07FM51    695  C~1Q3X      
2007 05  16.17229  11 22 20.79   +30 40 23.0         07FM51    675  C~1Q3X      
2007 05  16.22281  11 22 20.71   +30 40 22.0         07FM51    675  C~1Q3Y      
2007 05  16.23265  11 22 20.64   +30 40 21.9   22.5r 07FM51    695  C~1Q3Y      
2007 05  16.31195  11 22 20.53   +30 40 20.1   22.3r 07FM51    695  C~1Q3Y      
2008 03  04.54328  11 33 15.08   +30 21 02.8   22.9r 07FM51    568  C~1Q3Y      
2008 03  04.55929  11 33 15.00   +30 21 03.5   22.8r 07FM51    568  C~1Q3Y      
2008 03  04.57523  11 33 14.90   +30 21 04.0   22.7r 07FM51    568  C~1Q3Y      
2008 04  04.35277  11 30 43.23   +30 32 49.3   23.1r 07FM51    568  C~1Q3Y      
2008 04  05.29325  11 30 38.94   +30 32 59.1   23.4r 07FM51    568  C~1Q3Y      
2008 05  03.24341  11 28 54.72   +30 32 17.5         07FM51    695  C~1Q3Y      
2008 05  04.21541  11 28 52.09   +30 32 04.6         07FM51    695  C~1Q3Y      
2008 12  06.45444  11 42 24.81   +29 05 13.2   22.8R 07FM51    675  C~1Q3Y      
2008 12  06.45764  11 42 24.80   +29 05 13.2   22.6R 07FM51    675  C~1Q3Y      
2008 12  06.53350  11 42 24.95   +29 05 15.6   22.1R 07FM51    675  C~1Q3Y      
2008 12  21.44292  11 42 43.48   +29 13 54.8         07FM51    695  C~1Q3Y      
2008 12  21.52462  11 42 43.51   +29 13 57.9         07FM51    695  C~1Q3Y      
2008 12  22.48410  11 42 43.92   +29 14 35.5         07FM51    695  C~1Q3Y      
2015 04  24.20655  12 10 36.13   +28 44 14.3   23.1R 07FM51    G37  C~1ReN      
2015 04  24.37157  12 10 35.45   +28 44 14.2         07FM51    G37  C~1ReN      

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     0.08       0.00    -0.24
  2   0.0000      0.00     0.09       0.00    -0.22
  3   0.0000      0.00     0.11       0.00    -0.15
  4   2.8561  16088.42    -0.28    5936.31    -0.10
  5   2.8562  16085.70    -0.16    5935.91    -0.04
  6   2.8563  16082.82    -0.22    5935.53     0.06
  7   2.9218  14682.79    -0.02    5534.34     0.16
  8   2.9219  14682.22     0.05    5534.04     0.17
  9   2.9219  14681.48    -0.05    5533.77     0.20
 10   3.0062  13791.35 (  -0.25)   4718.19 (   0.57)
 11   3.0088  13784.88 (   0.71)   4690.53 (   0.19)
 12   3.0089  13784.41 (   0.67)   4689.16 (   0.34)
 13   3.0089  13783.65    -0.00    4688.66     0.14
 14   3.0092  13783.21     0.17    4686.40     0.28
 15   3.8120  21868.73     0.03    7645.09     0.13
 16   3.8120  21867.47    -0.04    7645.21     0.28
 17   3.8121  21866.07    -0.24    7645.02     0.13
 18   3.8963  19782.59     0.20    7325.80    -0.19
 19   3.8989  19728.59     0.13    7307.99    -0.36
 20   3.9754  18549.32    -0.06    6630.62    -0.07
 21   3.9781  18525.15    -0.06    6603.10    -0.01
 22   4.5701  30480.55     0.27    7172.15     0.22
 23   4.5701  30480.43     0.13    7172.09     0.02
 24   4.5703  30480.97     0.13    7175.18     0.11
 25   4.6112  30435.10    -0.12    7753.26    -0.02
 26   4.6114  30433.89    -0.10    7756.18    -0.12
 27   4.6140  30419.69    -0.08    7791.88    -0.14
 28  10.9486  50963.21    -0.03   18051.17     0.01
 29  10.9491  50955.24     0.08   18045.92    -0.24

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.

07FM51    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.473    45.485    45.461
ecceobj         0.163     0.163     0.162
incobj         29.206    29.206    29.206
qmin           37.121    37.096    37.116
qmax           54.459    54.450    54.439
amean          45.603    45.615    45.590
amin           45.209    45.227    45.228
amax           46.034    46.037    45.998
emean           0.167     0.167     0.167
emin            0.151     0.152     0.152
emax            0.184     0.183     0.184
imean          27.503    27.503    27.502
imin           27.100    27.106    27.103
imax           27.837    27.834    27.845
excite_mean     0.491     0.491     0.491
fracstop        1.000     1.000     1.000
cjmean          2.813     2.814     2.813

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       165.9     166.1     165.9
kozaiamp        180.0     180.0     180.0