Orbit Fit and Astrometric record for 13FR28

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: 13FR28    
# Created Tue Oct 24 01:38:13 2017
# Orbit generated from Bernstein formalism
# Fitting   19 observations of   19
# Arc:   2.96y
# First observation: 2011/03/14
#  Last observation: 2014/02/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.000529   0.036963   0.000003  -0.001668   0.028320   0.000000
# Chi-squared of fit:    25.87 DOF:   32 RMS:  0.21
# Min/Max residuals:    -0.69    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.898384E-05  3.702924E-02 -2.723689E-06 -1.679087E-03  3.076635E-02  2.484486E-03
# Covariance matrix:
  4.4754E-13 -3.8766E-13 -3.9668E-15  1.0403E-14 -3.0676E-14 -2.0953E-12
 -3.8766E-13  6.8627E-13  1.0877E-14 -2.7230E-14  2.3023E-13  5.5056E-12
 -3.9668E-15  1.0877E-14  3.5405E-13 -1.5701E-13  7.5374E-15  1.0229E-13
  1.0403E-14 -2.7230E-14 -1.5701E-13  9.0221E-14 -1.2362E-14 -2.5213E-13
 -3.0676E-14  2.3023E-13  7.5374E-15 -1.2362E-14  8.9369E-13  2.6102E-12
 -2.0953E-12  5.5056E-12  1.0229E-13 -2.5213E-13  2.6102E-12  5.1044E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.565192 -168.060344    0.316205    0.025824   -0.946504  2455635.057606
# Heliocentric elements and errors
Epoch:              2455630.5000  =  2011/03/10
Mean Anomaly:           10.44490 +/-     0.031
Argument of Peri:      132.11266 +/-     0.054
Long of Asc Node:       41.87957 +/-     0.004
Inclination:             2.99646 +/-     0.000
Eccentricity:         0.23749336 +/-    0.0001
Semi-Major Axis:     43.48056305 +/-    0.0076
Time of Perihelion: 2452592.1128 +/-       9.1
Perihelion:          33.15421784 +/-    0.0082
Aphelion:            53.80690826 +/-    0.0110
Period (y)              286.7153 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -32.77557786 +/-    0.0010
Ecliptic Y           -6.60916085 +/-    0.0002
Ecliptic Z            0.88773473 +/-    0.0000
Ecliptic XDOT         0.00046003 +/-    0.0000
Ecliptic YDOT        -0.00326444 +/-    0.0000
Ecliptic ZDOT        -0.00014330 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.44708633 +/-    0.0010
Geocenter to KBO     32.50303974 +/-    0.0010
# Hcoef:  7.25

The following table shows the complete astrometric record for 13FR28. 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 (13FR28) followed by the observatory code and reference code for the source of the astrometry.

2011 03  14.55684  12 46 21.968  -03 16 45.11  22.6r 13FR28    F51  C~1w3t      
2011 04  01.34020  12 44 47.211  -03 06 51.96  22.8w 13FR28    F51  C~1w3t      
2011 04  01.41448  12 44 46.784  -03 06 50.31  22.9w 13FR28    F51  C~1w3t      
2012 02  28.54955  12 55 07.043  -04 18 20.36  23.0w 13FR28    F51  C~1w3t      
2012 02  28.56398  12 55 06.967  -04 18 19.80  23.0w 13FR28    F51  C~1w3t      
2012 12  22.62192  13 03 29.565  -05 18 29.95  22.6w 13FR28    F51  C~1w3t      
2012 12  22.62652  13 03 29.575  -05 18 30.16  22.6w 13FR28    F51  C~1w3t      
2012 12  22.62718  13 03 29.575  -05 18 30.09  22.3w 13FR28    F51  C~1w3t      
2013 03  19.49171  13 01 12.062  -05 02 35.88  22.7w 13FR28    F51  C~1w3t      
2013 03  19.50712  13 01 11.944  -05 02 35.49  22.4w 13FR28    F51  C~1w3t      
2013 03  19.52253  13 01 11.854  -05 02 35.02  22.7w 13FR28    F51  C~1w3t      
2013 03  19.53796  13 01 11.786  -05 02 34.69  22.3w 13FR28    F51  C~1w3t      
2013 04  11.37957  12 59 09.057  -04 50 07.61  22.1w 13FR28    F51  C~1w3t      
2013 04  11.39321  12 59 08.990  -04 50 07.19  22.3w 13FR28    F51  C~1w3t      
2013 04  11.42067  12 59 08.845  -04 50 06.29  22.4w 13FR28    F51  C~1w3t      
2014 02  28.49990  13 10 17.158  -06 05 07.66  22.4w 13FR28    F51  C~1w3t      
2014 02  28.51117  13 10 17.116  -06 05 07.50  22.8w 13FR28    F51  C~1w3t      
2014 02  28.52240  13 10 17.076  -06 05 07.42  22.5w 13FR28    F51  C~1w3t      
2014 02  28.53368  13 10 17.029  -06 05 07.01  22.5w 13FR28    F51  C~1w3t      

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     0.01       0.00     0.38
  2   0.0487  -1538.12    -0.08      -7.27     0.18
  3   0.0489  -1544.66     0.06      -8.24    -0.69
  4   0.9610   8682.26     0.13    -350.18    -0.02
  5   0.9610   8681.00    -0.13    -350.11     0.05
  6   1.7770  17038.25     0.10    -781.26     0.16
  7   1.7771  17038.47     0.11    -781.40     0.02
  8   1.7771  17038.44     0.05    -781.33     0.09
  9   2.0149  14761.64     0.18    -691.16     0.12
 10   2.0149  14759.85    -0.29    -691.48    -0.19
 11   2.0150  14758.42    -0.41    -691.57    -0.26
 12   2.0150  14757.35    -0.17    -691.65    -0.33
 13   2.0775  12768.18     0.03    -709.88     0.19
 14   2.0776  12767.09     0.15    -709.88     0.22
 15   2.0777  12764.73     0.25    -709.89     0.26
 16   2.9622  23795.88    -0.12   -1035.96     0.07
 17   2.9622  23795.23    -0.03   -1036.05    -0.02
 18   2.9623  23794.64     0.12   -1036.21    -0.17
 19   2.9623  23793.83     0.05   -1036.10    -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.

13FR28    quality flag:3

Type:         7:4EEE    7:4EEE    7:4EEE
Type:                   7:4EII    7:4EII

axisobj        43.469    43.493    43.446
ecceobj         0.237     0.237     0.237
incobj          2.996     2.996     2.996
qmin           32.436    32.475    32.459
qmax           55.466    55.466    55.507
amean          43.726    43.726    43.726
amin           43.340    43.315    43.319
amax           44.191    44.209    44.223
emean           0.243     0.243     0.243
emin            0.231     0.231     0.231
emax            0.256     0.255     0.255
imean           1.773     2.052     1.978
imin            0.881     1.666     1.494
imax            2.758     2.758     2.758
excite_mean     0.245     0.245     0.245
fracstop        1.000     1.000     1.000
cjmean          3.025     3.025     3.025

libcent 0       179.2     180.7     181.1
libamp  0        25.0      33.0      31.7
libcent 1      -180.0     165.5     160.7
libamp  1      -180.0     142.4     149.7
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       169.8     177.6     175.8
kozaiamp        179.8      62.0      66.6