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 Mon Apr 23 01:37:55 2018
# Orbit generated from Bernstein formalism
# Fitting   34 observations of   36
# Arc:  15.03y
# First observation: 2003/04/01
#  Last observation: 2018/04/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.004643   0.029881  -0.000561   0.003999   0.035279   0.000000
# Chi-squared of fit:    15.66 DOF:   62 RMS:  0.12
# Min/Max residuals:    -0.33    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.692265E-05  2.798202E-02  1.217368E-06  3.744129E-03  2.615776E-02 -1.240843E-03
# Covariance matrix:
  2.9804E-13 -6.1594E-14  9.2095E-15 -5.2289E-15 -9.6419E-14 -9.6462E-14
 -6.1594E-14  2.4979E-14 -4.6382E-15  2.8330E-15  7.2155E-14  5.2395E-14
  9.2095E-15 -4.6382E-15  2.2237E-13 -2.1433E-14 -6.0898E-15 -1.1246E-14
 -5.2289E-15  2.8330E-15 -2.1433E-14  2.7492E-15  7.8456E-15  6.6383E-15
 -9.6419E-14  7.2155E-14 -6.0898E-15  7.8456E-15  5.8271E-13  1.4766E-13
 -9.6462E-14  5.2395E-14 -1.1246E-14  6.6383E-15  1.4766E-13  1.2263E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   15.013370 -163.326457    0.091894    0.257459   -0.960012  2452730.808946
# Heliocentric elements and errors
Epoch:              2452730.5000  =  2003/04/01
Mean Anomaly:          347.13617 +/-     0.006
Argument of Peri:       81.29669 +/-     0.008
Long of Asc Node:      134.37147 +/-     0.000
Inclination:            16.45501 +/-     0.000
Eccentricity:         0.16630524 +/-    0.0001
Semi-Major Axis:     46.67504981 +/-    0.0066
Time of Perihelion: 2456892.4183 +/-       1.7
Perihelion:          38.91274444 +/-    0.0070
Aphelion:            54.43735518 +/-    0.0088
Period (y)              318.8860 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -36.35241203 +/-    0.0010
Ecliptic Y          -10.78772537 +/-    0.0003
Ecliptic Z            9.90323077 +/-    0.0003
Ecliptic XDOT         0.00105138 +/-    0.0000
Ecliptic YDOT        -0.00274530 +/-    0.0000
Ecliptic ZDOT         0.00034506 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.19115792 +/-    0.0010
Geocenter to KBO     38.22957069 +/-    0.0011
# 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.

2003 04  01.308203 13 24 27.52   +07 19 17.0   22.2V 12FK84    645  C~2VVI      
2003 04  01.309033 13 24 27.52   +07 19 17.0   22.3V 12FK84    645  C~2VVI      
2003 04  01.311521 13 24 27.48   +07 19 16.8   23.0V 12FK84    645  C~2VVI      
2004 03  16.319278 13 31 52.36   +06 44 47.8   22.1V 12FK84    645  C~2VVI      
2004 03  16.320107 13 31 52.36   +06 44 48.1   22.1V 12FK84    645  C~2VVI      
2004 03  16.322595 13 31 52.35   +06 44 48.3   22.6V 12FK84    645  C~2VVI      
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      
2018 04  10.32057  14 58 27.112  +00 39 05.89  22.2R 12FK84    G37              
2018 04  10.40507  14 58 26.727  +00 39 08.31        12FK84    G37              
2018 04  10.44892  14 58 26.542  +00 39 09.72        12FK84    G37              

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    -0.00       0.00     0.22
  2   0.0000      0.00     0.06       0.00     0.21
  3   0.0000     -0.47    -0.22      -0.41    -0.21
  4   0.9583   6910.40     0.09     647.92    -0.33
  5   0.9583   6910.28     0.03     648.20    -0.07
  6   0.9583   6910.07    -0.01     648.33     0.03
  7   7.1103  38155.77     0.09    5391.84     0.15
  8   8.0550  45798.67     0.08    6384.62     0.02
  9   8.0551  45795.93     0.20    6384.18    -0.26
 10   8.0797  45075.15     0.12    6330.18     0.18
 11   8.9943  53743.83     0.04    7195.52     0.04
 12   8.9943  53742.74     0.03    7195.77     0.20
 13   8.9943  53741.54    -0.07    7195.67     0.01
 14   8.9944  53740.72 (   0.22)   7196.20 (   0.45)
 15   9.0544  51998.70 (   0.75)   7223.11 (   0.24)
 16   9.0737  51420.91     0.07    7182.80    -0.07
 17   9.0738  51418.01    -0.02    7182.77     0.17
 18   9.1309  49827.08     0.07    6941.03     0.01
 19   9.1309  49825.91    -0.13    6940.89     0.09
 20   9.1309  49824.93    -0.15    6940.61     0.03
 21   9.1310  49824.07    -0.04    6940.44     0.08
 22  10.0101  59590.35     0.01    8074.98    -0.02
 23  10.1084  56672.61     0.03    7902.48    -0.06
 24  10.1084  56671.36    -0.05    7902.31    -0.03
 25  10.1085  56670.24    -0.00    7901.98    -0.15
 26  11.0120  65940.07     0.04    8941.41    -0.19
 27  11.0120  65939.80    -0.17    8941.59    -0.02
 28  11.0120  65938.79    -0.25    8941.66     0.03
 29  11.0120  65939.01     0.02    8941.73     0.09
 30  11.0120  65937.98    -0.08    8941.65    -0.03
 31  11.0120  65937.97    -0.03    8941.74     0.06
 32  11.0121  65937.20     0.13    8941.61    -0.10
 33  11.0121  65936.94    -0.08    8941.62    -0.09
 34  15.0254  92528.68     0.21   12610.75     0.19
 35  15.0256  92521.15    -0.05   12610.48    -0.14
 36  15.0257  92517.41    -0.01   12610.59    -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        46.192    46.211    46.172
ecceobj         0.158     0.159     0.158
incobj         16.480    16.480    16.480
qmin           38.420    38.417    38.396
qmax           55.123    55.127    55.027
amean          46.561    46.579    46.541
amin           46.166    46.178    46.146
amax           47.032    47.035    47.000
emean           0.158     0.159     0.158
emin            0.147     0.147     0.146
emax            0.172     0.173     0.172
imean          15.290    15.291    15.292
imin           14.885    14.887    14.894
imax           15.759    15.763    15.756
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     188.1     188.3
kozaiamp        179.9     179.9     180.0