Orbit Fit and Astrometric record for 07FO51

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: 07FO51    
# Created Thu May 24 01:37:33 2018
# Orbit generated from Bernstein formalism
# Fitting   28 observations of   30
# Arc:  14.07y
# First observation: 2004/03/16
#  Last observation: 2018/04/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.011994   0.034044   0.001479  -0.005463   0.024040   0.000000
# Chi-squared of fit:    58.06 DOF:   50 RMS:  0.25
# Min/Max residuals:    -0.52    0.52
# Exact a, adot, b, bdot, g, gdot:
  1.780922E-05  2.969745E-02 -2.555322E-06 -4.807840E-03  2.684440E-02 -5.127212E-03
# Covariance matrix:
  4.5317E-13 -1.4854E-13 -4.6043E-14  2.1807E-14  3.4292E-14 -2.5599E-13
 -1.4854E-13  5.8426E-14  1.8398E-14 -9.0705E-15 -1.9597E-14  1.0676E-13
 -4.6043E-14  1.8398E-14  1.3925E-13 -1.7844E-14  9.1394E-15  3.5158E-14
  2.1807E-14 -9.0705E-15 -1.7844E-14  4.1325E-15  2.7526E-15 -1.7362E-14
  3.4292E-14 -1.9597E-14  9.1394E-15  2.7526E-15  1.1028E-13 -3.7923E-14
 -2.5599E-13  1.0676E-13  3.5158E-14 -1.7362E-14 -3.7923E-14  2.0437E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   27.005067  153.364820   -0.384469    0.414811   -0.813842  2453080.884278
# Heliocentric elements and errors
Epoch:              2453080.5000  =  2004/03/16
Mean Anomaly:          337.76574 +/-     0.005
Argument of Peri:      149.50533 +/-     0.008
Long of Asc Node:       43.27335 +/-     0.000
Inclination:            27.93444 +/-     0.000
Eccentricity:         0.29408869 +/-    0.0000
Semi-Major Axis:     50.92759193 +/-    0.0041
Time of Perihelion: 2461279.2633 +/-       1.4
Perihelion:          35.95036331 +/-    0.0035
Aphelion:            65.90482054 +/-    0.0057
Period (y)              363.4443 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -30.66081074 +/-    0.0004
Ecliptic Y           14.94697149 +/-    0.0002
Ecliptic Z           16.91480850 +/-    0.0002
Ecliptic XDOT        -0.00114389 +/-    0.0000
Ecliptic YDOT        -0.00282325 +/-    0.0000
Ecliptic ZDOT        -0.00067419 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.07371821 +/-    0.0003
Geocenter to KBO     37.25172311 +/-    0.0005
# Hcoef:  7.06

The following table shows the complete astrometric record for 07FO51. 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 (07FO51) followed by the observatory code and reference code for the source of the astrometry.

2004 03  16.383535 11 07 27.53   +35 08 00.6   21.7V 07FO51    645  C~1RHm      
2004 03  16.384364 11 07 27.53   +35 08 00.6   21.6V 07FO51    645  C~1RHm      
2004 03  16.386852 11 07 27.51   +35 08 00.6   22.3V 07FO51    645  C~1RHm      
2007 03  21.40836  11 27 22.41   +32 02 27.0   23.0r 07FO51    568  C~1QdJ      
2007 03  21.44962  11 27 22.15   +32 02 28.1   22.5r 07FO51    568  C~1QdJ      
2007 03  21.49084  11 27 21.90   +32 02 28.7   23.1r 07FO51    568  C~1QdJ      
2007 05  15.26819  11 23 25.52   +31 53 15.4   22.5r 07FO51    695  C~1QdJ      
2007 05  16.17751  11 23 23.69   +31 52 43.0         07FO51    675  C~1QdJ      
2007 05  16.22810  11 23 23.59   +31 52 41.2         07FO51    675  C~1QdJ      
2007 05  16.24618  11 23 23.63   +31 52 41.2   22.6r 07FO51    695  C~1QdJ      
2007 05  16.32638  11 23 23.50   +31 52 37.1   22.9r 07FO51    695  C~1QdJ      
2007 05  17.26820  11 23 21.76   +31 52 03.7   22.5r 07FO51    695  C~1QdJ      
2008 03  04.54328  11 35 31.48   +30 50 03.2   23.0r 07FO51    568  C~1QdJ      
2008 03  04.55929  11 35 31.39   +30 50 03.7         07FO51    568  C~1QdK      
2008 03  04.57523  11 35 31.29   +30 50 04.2   22.8r 07FO51    568  C~1QdK      
2008 04  04.35277  11 32 33.86   +30 59 15.3   23.2r 07FO51    568  C~1QdK      
2008 04  05.29325  11 32 28.83   +30 59 18.6   23.0r 07FO51    568  C~1QdK      
2008 05  03.24626  11 30 25.64   +30 54 29.1         07FO51    695  C~1QdK      
2008 05  04.22328  11 30 22.43   +30 54 05.6         07FO51    695  C~1QdK      
2008 12  06.46452  11 45 31.06   +28 43 17.4   22.9R 07FO51    675  C~1QdK      
2008 12  06.54019  11 45 31.22   +28 43 19.0   22.9R 07FO51    675  C~1QdK      
2008 12  06.54339  11 45 31.22   +28 43 19.1   23.1R 07FO51    675  C~1QdK      
2008 12  21.45214  11 45 52.57   +28 50 59.4         07FO51    695  C~1QdK      
2008 12  21.52885  11 45 52.60   +28 51 02.1         07FO51    695  C~1QdK      
2008 12  22.48955  11 45 53.08   +28 51 36.6         07FO51    695  C~1QdK      
2016 02  04.44246  12 26 48.21   +20 42 14.3   22.6R 07FO51    G37  C~1lvQ      
2016 02  04.49637  12 26 48.05   +20 42 16.6         07FO51    G37  C~1lvQ      
2018 04  10.26936  12 33 05.251  +18 38 14.58  22.7R 07FO51    G37  C~2bGZ      
2018 04  10.34647  12 33 04.800  +18 38 15.85        07FO51    G37  C~2bGZ      
2018 04  10.43269  12 33 04.326  +18 38 17.39        07FO51    G37  C~2bGZ      

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    -0.07       0.00    -0.06
  2   0.0000      0.00    -0.00       0.00    -0.04
  3   0.0000     -0.22    -0.04      -0.11    -0.10
  4   3.0117  18412.83     0.48   -3094.90     0.21
  5   3.0118  18409.37     0.11   -3095.51     0.52
  6   3.0119  18406.27     0.08   -3096.50     0.45
  7   3.1619  16002.85     0.16   -5013.17     0.41
  8   3.1644  15997.47    -0.52   -5052.85    -0.23
  9   3.1645  15997.19    -0.52   -5055.05    -0.21
 10   3.1646  15997.64 (   0.04)  -5054.81 (   0.83)
 11   3.1648  15998.11 (   0.89)  -5059.22 (  -0.06)
 12   3.1674  15994.21     0.34   -5099.26     0.45
 13   3.9676  26084.55     0.04   -3862.47    -0.29
 14   3.9676  26083.28     0.09   -3862.61    -0.24
 15   3.9677  26081.89     0.01   -3862.81    -0.27
 16   4.0519  23789.25     0.35   -4505.71    -0.31
 17   4.0545  23730.43     0.32   -4534.51    -0.36
 18   4.1310  22470.94     0.00   -5562.32    -0.03
 19   4.1337  22445.89    -0.50   -5603.09    -0.39
 20   4.7258  36914.40     0.04   -6559.99     0.33
 21   4.7260  36915.42     0.14   -6557.50    -0.04
 22   4.7260  36915.36     0.05   -6557.41    -0.08
 23   4.7668  36918.99    -0.18   -6009.26     0.11
 24   4.7670  36917.90    -0.22   -6006.69     0.03
 25   4.7696  36905.13    -0.18   -5973.27    -0.02
 26  11.8879  84980.76    -0.02  -12879.12     0.19
 27  11.8881  84977.05     0.03  -12878.44     0.33
 28  14.0668  95355.44     0.29  -16280.49    -0.05
 29  14.0670  95348.25    -0.08  -16283.37    -0.24
 30  14.0672  95340.55    -0.21  -16286.21    -0.06

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.

07FO51    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        50.282    50.294    50.271
ecceobj         0.285     0.285     0.285
incobj         27.962    27.962    27.962
qmin           34.293    34.282    34.324
qmax           67.394    67.426    67.288
amean          50.451    50.516    50.498
amin           49.874    50.035    50.007
amax           51.099    51.112    51.090
emean           0.295     0.298     0.295
emin            0.267     0.276     0.272
emax            0.319     0.320     0.318
imean          26.830    26.746    26.865
imin           26.030    25.988    26.104
imax           27.618    27.511    27.631
excite_mean     0.539     0.540     0.540
fracstop        1.000     1.000     1.000
cjmean          2.804     2.804     2.804

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       180.2     180.3     179.4
kozaiamp        179.9     180.0     179.9