Orbit Fit and Astrometric record for 07FP51

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: 07FP51    
# Created Mon Dec 18 02:37:29 2017
# Orbit generated from Bernstein formalism
# Fitting   28 observations of   28
# Arc:   9.95y
# First observation: 2004/04/16
#  Last observation: 2014/03/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.001611   0.032047  -0.000210   0.002138   0.026343   0.000000
# Chi-squared of fit:    33.25 DOF:   50 RMS:  0.19
# Min/Max residuals:    -0.38    0.49
# Exact a, adot, b, bdot, g, gdot:
  1.756503E-05  3.153418E-02  2.544589E-06  2.073945E-03  2.788565E-02  1.777146E-03
# Covariance matrix:
  4.5415E-13 -1.6899E-13  1.8939E-14 -8.9054E-15 -8.4431E-15 -3.6810E-13
 -1.6899E-13  8.0767E-14 -1.0406E-14  4.6547E-15 -1.0915E-14  1.9092E-13
  1.8939E-14 -1.0406E-14  1.8550E-13 -2.9572E-14  4.3787E-15 -2.5838E-14
 -8.9054E-15  4.6547E-15 -2.9572E-14  6.6504E-15 -4.4873E-17  1.2136E-14
 -8.4431E-15 -1.0915E-14  4.3787E-15 -4.4873E-17  1.2951E-13  1.0622E-14
 -3.6810E-13  1.9092E-13 -2.5838E-14  1.2136E-14  1.0622E-14  5.0153E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   25.835269  153.212998   -0.805284    0.259345   -0.535537  2453111.763568
# Heliocentric elements and errors
Epoch:              2453110.5000  =  2004/04/15
Mean Anomaly:           17.03060 +/-     0.005
Argument of Peri:       57.06238 +/-     0.007
Long of Asc Node:       72.00228 +/-     0.000
Inclination:            25.60316 +/-     0.000
Eccentricity:         0.20843595 +/-    0.0001
Semi-Major Axis:     45.17820822 +/-    0.0035
Time of Perihelion: 2447863.3990 +/-       1.3
Perihelion:          35.76144527 +/-    0.0037
Aphelion:            54.59497117 +/-    0.0049
Period (y)              303.6699 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.71099818 +/-    0.0004
Ecliptic Y           14.09705736 +/-    0.0002
Ecliptic Z           15.62769635 +/-    0.0002
Ecliptic XDOT        -0.00145941 +/-    0.0000
Ecliptic YDOT        -0.00273995 +/-    0.0000
Ecliptic ZDOT         0.00025944 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.41009932 +/-    0.0003
Geocenter to KBO     35.86074450 +/-    0.0005
# Hcoef:  8.14

The following table shows the complete astrometric record for 07FP51. 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 (07FP51) followed by the observatory code and reference code for the source of the astrometry.

2004 04  16.262825 11 04 24.39   +34 08 13.7         07FP51    645  C~1RHm      
2004 04  16.263654 11 04 24.39   +34 08 13.7         07FP51    645  C~1RHm      
2004 04  16.266142 11 04 24.37   +34 08 13.7         07FP51    645  C~1RHm      
2007 03  21.40836  11 30 29.44   +31 56 58.6   23.6r 07FP51    568  C~1QdK      
2007 03  21.44962  11 30 29.18   +31 56 59.5   24.2r 07FP51    568  C~1QdK      
2007 03  21.49084  11 30 28.95   +31 57 00.5   23.6r 07FP51    568  C~1QdK      
2007 05  15.20811  11 26 32.18   +31 51 13.6         07FP51    675  C~1QdK      
2007 05  15.21229  11 26 32.15   +31 51 13.5         07FP51    675  C~1QdK      
2007 05  15.26420  11 26 32.07   +31 51 11.6         07FP51    675  C~1QdK      
2007 05  15.26881  11 26 32.04   +31 51 11.5         07FP51    675  C~1QdK      
2007 05  16.20585  11 26 30.26   +31 50 41.1         07FP51    675  C~1QdK      
2008 03  04.54857  11 39 38.62   +31 02 44.8   23.5r 07FP51    568  C~1QdK      
2008 03  04.56458  11 39 38.52   +31 02 45.6   23.3r 07FP51    568  C~1QdK      
2008 03  04.58052  11 39 38.44   +31 02 45.8   23.4r 07FP51    568  C~1QdK      
2008 04  04.34748  11 36 41.51   +31 14 13.5   23.9r 07FP51    568  C~1QdK      
2008 04  05.28734  11 36 36.48   +31 14 20.8   23.7r 07FP51    568  C~1QdK      
2008 05  03.25450  11 34 32.60   +31 11 11.3         07FP51    695  C~1QdK      
2008 05  04.27847  11 34 29.26   +31 10 50.2         07FP51    695  C~1QdK      
2008 12  21.46279  11 50 41.16   +29 17 36.6         07FP51    695  C~1QdK      
2008 12  21.53500  11 50 41.22   +29 17 39.5         07FP51    695  C~1QdK      
2008 12  22.49580  11 50 41.97   +29 18 18.4         07FP51    695  C~1QdK      
2009 11  16.61813  11 55 54.06   +28 13 49.3         07FP51    568  C~1QdK      
2009 11  18.62287  11 56 03.59   +28 14 11.9         07FP51    568  C~1QdK      
2013 12  12.57236  12 23 43.98   +24 59 37.4         07FP51    568  C~1QdK      
2013 12  14.65079  12 23 49.51   +25 00 31.3         07FP51    568  C~1QdK      
2014 03  11.63890  12 20 59.08   +26 02 02.5         07FP51    568  C~1QdK      
2014 03  26.53060  12 19 37.69   +26 09 49.2         07FP51    568  C~1QdK      
2014 03  28.39599  12 19 27.36   +26 10 35.7         07FP51    568  C~1QdK      

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    -0.28
  2   0.0000      0.00     0.10       0.00    -0.25
  3   0.0000     -0.22    -0.02      -0.11    -0.28
  4   2.9272  21171.15    -0.19    1999.93     0.07
  5   2.9273  21167.78    -0.37    1999.11     0.04
  6   2.9274  21164.70    -0.28    1998.57     0.29
  7   3.0772  18662.71     0.03     237.87     0.33
  8   3.0772  18662.42    -0.23     237.60     0.24
  9   3.0773  18662.42     0.19     235.44     0.21
 10   3.0774  18662.13    -0.07     235.16     0.13
 11   3.0799  18656.61     0.20     197.48     0.32
 12   3.8831  29001.70     0.35    2645.50     0.03
 13   3.8831  29000.16     0.16    2645.55     0.20
 14   3.8831  28999.15     0.49    2645.20    -0.03
 15   3.9674  26645.14     0.05    2099.70    -0.38
 16   3.9700  26584.51     0.02    2073.76    -0.18
 17   4.0465  25275.72    -0.09    1115.44    -0.22
 18   4.0493  25248.37    -0.21    1075.68     0.03
 19   4.6823  39909.83    -0.18    1628.66    -0.08
 20   4.6825  39908.95    -0.10    1631.60    -0.06
 21   4.6851  39896.57    -0.18    1670.59    -0.14
 22   5.5862  45660.52     0.13     524.39     0.24
 23   5.5917  45759.86     0.19     612.59     0.18
 24   9.6572  72849.78     0.03    3418.00    -0.12
 25   9.6629  72884.03     0.04    3510.84    -0.17
 26   9.9011  68405.70     0.06    5279.02    -0.02
 27   9.9419  67112.79    -0.04    5014.12     0.03
 28   9.9470  66957.09    -0.13    4969.90    -0.08

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.

07FP51    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.702    44.713    44.692
ecceobj         0.201     0.202     0.201
incobj         25.596    25.596    25.596
qmin           35.143    34.853    34.979
qmax           54.992    55.388    55.190
amean          44.857    44.848    44.844
amin           44.471    44.456    44.446
amax           45.309    45.319    45.327
emean           0.196     0.202     0.199
emin            0.178     0.183     0.180
emax            0.214     0.222     0.218
imean          24.353    24.196    24.284
imin           23.850    23.690    23.789
imax           24.799    24.790    24.816
excite_mean     0.457     0.457     0.457
fracstop        1.000     1.000     1.000
cjmean          2.852     2.852     2.852

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       181.3     175.8     176.7
kozaiamp        180.0     180.0     180.0