Orbit Fit and Astrometric record for 12FK84

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: 12FK84    
# Created Tue Oct 24 01:38:09 2017
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   27
# Arc:   3.90y
# First observation: 2010/05/11
#  Last observation: 2014/04/05
Preliminary a, adot, b, bdot, g, gdot:
  -0.000372   0.028731  -0.000038   0.002396   0.026620   0.000000
# Chi-squared of fit:     9.63 DOF:   46 RMS:  0.11
# Min/Max residuals:    -0.34    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.721129E-05  2.845707E-02  1.283537E-06  2.360813E-03  2.629366E-02 -8.357258E-04
# Covariance matrix:
  1.0362E-12 -7.7278E-13  5.2539E-14 -5.3654E-14 -4.5117E-13 -4.5887E-12
 -7.7278E-13  6.9048E-13 -5.0001E-14  5.1516E-14  3.1078E-13  4.3877E-12
  5.2539E-14 -5.0001E-14  3.4027E-13 -1.1506E-13 -3.2063E-14 -3.4523E-13
 -5.3654E-14  5.1516E-14 -1.1506E-13  4.8096E-14  3.0221E-14  3.5362E-13
 -4.5117E-13  3.1078E-13 -3.2063E-14  3.0221E-14  9.3468E-13  2.6856E-12
 -4.5887E-12  4.3877E-12 -3.4523E-13  3.5362E-13  2.6856E-12  3.0200E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   16.227826 -152.409635   -0.387696    0.260866   -0.896452  2455327.841826
# Heliocentric elements and errors
Epoch:              2455320.5000  =  2010/05/04
Mean Anomaly:          353.75343 +/-     0.056
Argument of Peri:       82.97335 +/-     0.079
Long of Asc Node:      134.59353 +/-     0.001
Inclination:            16.48061 +/-     0.000
Eccentricity:         0.16203879 +/-    0.0001
Semi-Major Axis:     46.38138596 +/-    0.0081
Time of Perihelion: 2457322.4496 +/-      17.8
Perihelion:          38.86580240 +/-    0.0089
Aphelion:            53.89696952 +/-    0.0110
Period (y)              315.8812 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -33.00762236 +/-    0.0012
Ecliptic Y          -17.69137092 +/-    0.0006
Ecliptic Z           10.62840286 +/-    0.0004
Ecliptic XDOT         0.00150903 +/-    0.0000
Ecliptic YDOT        -0.00254967 +/-    0.0000
Ecliptic ZDOT         0.00021167 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.92878995 +/-    0.0010
Geocenter to KBO     38.03198093 +/-    0.0014
# Hcoef:  6.40

The following table shows the complete astrometric record for 12FK84. 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 (12FK84) followed by the observatory code and reference code for the source of the astrometry.

2010 05  11.34106  14 05 32.778  +04 33 37.02  21.9r 12FK84    F51  C~1w3q      
2011 04  21.39272  14 13 27.118  +03 58 56.19  22.0i 12FK84    F51  C~1w3q      
2011 04  21.42765  14 13 26.947  +03 58 56.86  22.0r 12FK84    F51  C~1w3q      
2011 04  30.43667  14 12 43.583  +04 02 47.96  22.5w 12FK84    F51  C~1w3q      
2012 03  29.46541  14 21 25.830  +03 19 54.70  22.7w 12FK84    F51  C~1w3q      
2012 03  29.47972  14 21 25.774  +03 19 55.34  22.6w 12FK84    F51  C~1w3q      
2012 03  29.49417  14 21 25.703  +03 19 55.71  21.9w 12FK84    F51  C~1w3q      
2012 03  29.50869  14 21 25.670  +03 19 56.49  22.3w 12FK84    F51  C~1w3q      
2012 04  20.41287  14 19 46.820  +03 31 29.21  21.9g 12FK84    F51  C~1w3q      
2012 04  27.48992  14 19 12.658  +03 34 35.73  22.4r 12FK84    F51  C~1w3q      
2012 04  27.52421  14 19 12.491  +03 34 36.82  21.5i 12FK84    F51  C~1w3q      
2012 05  18.35825  14 17 34.769  +03 41 14.98  22.6w 12FK84    F51  C~1w3q      
2012 05  18.37180  14 17 34.698  +03 41 15.30  22.5w 12FK84    F51  C~1w3q      
2012 05  18.38540  14 17 34.634  +03 41 15.43  22.4w 12FK84    F51  C~1w3q      
2012 05  18.39903  14 17 34.580  +03 41 15.61  22.5w 12FK84    F51  C~1w3q      
2013 04  04.51453  14 27 19.266  +02 55 38.79  21.9r 12FK84    F51  C~1w3q      
2013 05  10.39996  14 24 30.450  +03 11 38.53  22.3w 12FK84    F51  C~1w3q      
2013 05  10.41483  14 24 30.375  +03 11 38.86  22.1w 12FK84    F51  C~1w3q      
2013 05  10.42967  14 24 30.303  +03 11 39.00  22.2w 12FK84    F51  C~1w3q      
2014 04  05.43016  14 33 34.447  +02 28 17.92  22.2w 12FK84    F51  C~1w3q      
2014 04  05.43082  14 33 34.437  +02 28 18.17  22.2w 12FK84    F51  C~1w3q      
2014 04  05.44241  14 33 34.383  +02 28 18.62  22.3w 12FK84    F51  C~1w3q      
2014 04  05.44306  14 33 34.397  +02 28 18.59  22.4w 12FK84    F51  C~1w3q      
2014 04  05.45466  14 33 34.338  +02 28 18.91  22.4w 12FK84    F51  C~1w3q      
2014 04  05.45532  14 33 34.340  +02 28 18.99  22.2w 12FK84    F51  C~1w3q      
2014 04  05.46693  14 33 34.294  +02 28 19.17  22.2w 12FK84    F51  C~1w3q      
2014 04  05.46758  14 33 34.280  +02 28 19.28  22.2w 12FK84    F51  C~1w3q      

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    -0.02       0.00     0.03
  2   0.9447   7375.08    -0.01     572.92    -0.06
  3   0.9448   7372.45     0.09     572.63    -0.34
  4   0.9695   6683.02     0.04     557.59     0.09
  5   1.8840  14927.68    -0.04     946.33    -0.01
  6   1.8840  14926.67    -0.03     946.63     0.14
  7   1.8841  14925.54    -0.13     946.59    -0.03
  8   1.8841  14924.79     0.16     947.15     0.38
  9   1.9441  13287.18 (   0.68)   1064.19 (   0.15)
 10   1.9634  12740.67     0.04    1055.33    -0.11
 11   1.9635  12737.94    -0.03    1055.45     0.12
 12   2.0206  11224.24     0.08     904.00    -0.03
 13   2.0206  11223.13    -0.11     903.92     0.05
 14   2.0207  11222.19    -0.12     903.70    -0.01
 15   2.0207  11221.36    -0.02     903.58     0.04
 16   2.8999  20431.89     0.00    1490.17    -0.03
 17   2.9981  17704.06     0.08    1476.67    -0.06
 18   2.9981  17702.89     0.01    1476.58    -0.03
 19   2.9982  17701.82     0.05    1476.32    -0.15
 20   3.9017  26342.95     0.07    1989.61    -0.15
 21   3.9017  26342.72    -0.11    1989.80     0.02
 22   3.9017  26341.79    -0.19    1989.92     0.07
 23   3.9017  26342.00     0.07    1989.97     0.11
 24   3.9017  26341.04    -0.03    1989.95     0.01
 25   3.9018  26341.04     0.02    1990.04     0.09
 26   3.9018  26340.32     0.16    1989.96    -0.07
 27   3.9018  26340.08    -0.03    1989.98    -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.

12FK84    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.184    46.207    46.160
ecceobj         0.158     0.159     0.158
incobj         16.480    16.480    16.479
qmin           38.435    38.446    38.427
qmax           55.130    55.091    55.039
amean          46.564    46.564    46.529
amin           46.172    46.166    46.129
amax           47.019    47.022    46.972
emean           0.158     0.158     0.158
emin            0.146     0.147     0.146
emax            0.173     0.172     0.172
imean          15.295    15.293    15.292
imin           14.893    14.890    14.892
imax           15.767    15.758    15.771
excite_mean     0.308     0.308     0.307
fracstop        1.000     1.000     1.000
cjmean          3.016     3.016     3.015

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       188.1     187.3     188.5
kozaiamp        180.0     180.0     180.0