Orbit Fit and Astrometric record for 12FZ78

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: 12FZ78    
# Created Sun Dec 17 02:37:51 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   39 observations of   40
# Arc:   4.19y
# First observation: 2010/03/16
#  Last observation: 2014/05/23
# Chi-squared of fit:    67.75 DOF:   72 RMS:  0.23
# Min/Max residuals:    -0.52    0.67
# Exact a, adot, b, bdot, g, gdot:
  3.382645E-05  2.356263E-01 -1.009759E-05 -6.749463E-02  1.052023E-01  4.150442E-03
# Covariance matrix:
  3.4299E-13 -2.2527E-13 -4.9423E-14  5.0431E-14 -4.7084E-14 -1.2201E-13
 -2.2527E-13  2.0431E-13  5.3144E-14 -5.4064E-14  6.3647E-14  1.2988E-13
 -4.9423E-14  5.3144E-14  1.9685E-13 -6.8332E-14  1.6752E-14  3.7286E-14
  5.0431E-14 -5.4064E-14 -6.8332E-14  3.3956E-14 -1.5938E-14 -3.8091E-14
 -4.7084E-14  6.3647E-14  1.6752E-14 -1.5938E-14  1.0786E-13  3.2015E-14
 -1.2201E-13  1.2988E-13  3.7286E-14 -3.8091E-14  3.2015E-14  9.2407E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.522508  169.986110   -0.093736    0.112939   -0.988072  2455271.847316
# Heliocentric elements and errors
Epoch:              2455272.5000  =  2010/03/17
Mean Anomaly:            1.86887 +/-     0.000
Argument of Peri:      154.13812 +/-     0.000
Long of Asc Node:       10.20251 +/-     0.000
Inclination:            17.07166 +/-     0.000
Eccentricity:         0.44088209 +/-    0.0000
Semi-Major Axis:     18.73737162 +/-    0.0004
Time of Perihelion: 2455118.7061 +/-       0.0
Perihelion:          10.47639998 +/-    0.0003
Aphelion:            26.99834326 +/-    0.0007
Period (y)               81.1094 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -10.29187873 +/-    0.0000
Ecliptic Y            1.71998923 +/-    0.0000
Ecliptic Z            1.07968938 +/-    0.0000
Ecliptic XDOT        -0.00136620 +/-    0.0000
Ecliptic YDOT        -0.00597947 +/-    0.0000
Ecliptic ZDOT        -0.00173294 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   10.49031238 +/-    0.0000
Geocenter to KBO      9.50553308 +/-    0.0000
# Hcoef: 11.04

The following table shows the complete astrometric record for 12FZ78. 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 (12FZ78) followed by the observatory code and reference code for the source of the astrometry.

2010 03  16.34655  11 33 34.38   +09 57 31.8   20.6V 12FZ78    G96  C~1vWc      
2010 03  16.35491  11 33 34.20   +09 57 32.1   20.5V 12FZ78    G96  C~1vWd      
2010 03  16.36330  11 33 34.05   +09 57 32.9   20.7V 12FZ78    G96  C~1vWd      
2010 03  16.37163  11 33 33.98   +09 57 33.6   20.8V 12FZ78    G96  C~1vWd      
2012 02  28.52142  13 00 17.545  -07 39 55.36  21.4w 12FZ78    F51  C~1vWd      
2012 02  28.53579  13 00 17.385  -07 39 55.06  21.5w 12FZ78    F51  C~1vWd      
2012 02  28.55021  13 00 17.226  -07 39 54.62  21.5w 12FZ78    F51  C~1vWd      
2012 02  28.56464  13 00 17.057  -07 39 54.37  21.5w 12FZ78    F51  C~1vWd      
2012 03  29.40417  12 53 27.49   -07 18 57.8   21.3V 12FZ78    G96  C~0frT      
2012 03  29.41041  12 53 27.38   -07 18 57.2   21.8V 12FZ78    G96  C~0frT      
2012 03  29.41670  12 53 27.24   -07 18 56.5   21.8V 12FZ78    G96  C~0frT      
2012 03  29.42304  12 53 27.13   -07 18 56.5   21.3V 12FZ78    G96  C~0frT      
2012 04  14.34105  12 49 21.717  -07 03 53.62  21.1w 12FZ78    F51  C@0613      
2012 04  14.35590  12 49 21.488  -07 03 52.81  21.2w 12FZ78    F51  C@0613      
2012 04  14.37074  12 49 21.258  -07 03 51.97  21.2w 12FZ78    F51  C@0613      
2012 04  14.38557  12 49 21.030  -07 03 51.13  21.2w 12FZ78    F51  C@0613      
2012 04  22.24940  12 47 25.72   -06 56 39.8   21.9V 12FZ78    G96  C~0g7u      
2012 04  22.25654  12 47 25.62   -06 56 39.6   21.6V 12FZ78    G96  C~0g7u      
2012 04  22.26378  12 47 25.47   -06 56 39.3   21.6V 12FZ78    G96  C~0g7u      
2012 04  22.27102  12 47 25.40   -06 56 39.3   21.2V 12FZ78    G96  C~0g7u      
2012 05  17.18674  12 42 32.50   -06 39 43.9   21.4R 12FZ78    688  C~0hfq      
2012 05  17.22909  12 42 32.13   -06 39 42.8         12FZ78    688  C~0hfq      
2013 04  17.02848  13 27 58.68   -14 49 20.9   21.3r 12FZ78    W84  C~1vWd      
2013 04  17.03262  13 27 58.62   -14 49 20.7         12FZ78    W84  C~1vWd      
2013 04  17.04096  13 27 58.48   -14 49 20.3         12FZ78    W84  C~1vWd      
2014 01  09.64253  14 13 01.085  -20 28 56.14  22.0w 12FZ78    F51  C~1vWd      
2014 01  09.64664  14 13 01.129  -20 28 56.91  22.4w 12FZ78    F51  C~1vWd      
2014 01  09.65073  14 13 01.148  -20 28 57.12  22.4w 12FZ78    F51  C~1vWd      
2014 01  09.65483  14 13 01.222  -20 28 57.73  22.0w 12FZ78    F51  C~1vWd      
2014 04  05.47323  14 09 08.764  -21 40 10.52  22.1w 12FZ78    F51  C~1vWd      
2014 04  05.48512  14 09 08.580  -21 40 10.51  22.2w 12FZ78    F51  C~1vWd      
2014 04  05.49702  14 09 08.407  -21 40 09.96  21.9w 12FZ78    F51  C~1vWd      
2014 04  05.50892  14 09 08.235  -21 40 09.56  21.8w 12FZ78    F51  C~1vWd      
2014 05  07.39710  14 01 03.367  -21 17 15.78  21.6r 12FZ78    F51  C~1vWd      
2014 05  07.40898  14 01 03.187  -21 17 15.23  21.8r 12FZ78    F51  C~1vWd      
2014 05  07.41952  14 01 03.042  -21 17 14.59  21.7r 12FZ78    F51  C~1vWd      
2014 05  07.43006  14 01 02.868  -21 17 14.07  22.0r 12FZ78    F51  C~1vWd      
2014 05  23.31390  13 57 25.785  -21 01 59.96  21.9w 12FZ78    F51  C~1vWd      
2014 05  23.32518  13 57 25.640  -21 01 59.32  21.8w 12FZ78    F51  C~1vWd      
2014 05  23.34773  13 57 25.358  -21 01 57.97  22.1w 12FZ78    F51  C~1vWd      

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 (  -0.53)      0.00 (   2.39)
  2   0.0000      0.00    -0.15       0.00    -0.36
  3   0.0000      0.00    -0.33       0.00    -0.05
  4   0.0001      0.00     0.67       0.00     0.17
  5   1.9553      0.00     0.24       0.00     0.01
  6   1.9553      0.00     0.28       0.00    -0.03
  7   1.9554      0.00     0.33       0.00     0.07
  8   1.9554      0.00     0.24       0.00    -0.02
  9   2.0371      0.00     0.47       0.00    -0.36
 10   2.0371      0.00     0.29       0.00    -0.10
 11   2.0372      0.00    -0.33       0.00     0.25
 12   2.0372      0.00    -0.48       0.00    -0.10
 13   2.0808      0.00     0.31       0.00    -0.02
 14   2.0808      0.00     0.30       0.00    -0.05
 15   2.0808      0.00     0.28       0.00    -0.04
 16   2.0809      0.00     0.29       0.00    -0.03
 17   2.1024      0.00     0.37       0.00     0.34
 18   2.1024      0.00     0.43       0.00     0.16
 19   2.1024      0.00    -0.25       0.00     0.08
 20   2.1025      0.00     0.27       0.00    -0.30
 21   2.1707      0.00    -0.17       0.00     0.08
 22   2.1708      0.00     0.05       0.00     0.11
 23   3.0874      0.00     0.35       0.00    -0.16
 24   3.0874      0.00     0.42       0.00    -0.18
 25   3.0875      0.00     0.28       0.00    -0.22
 26   3.8201      0.00    -0.12       0.00     0.23
 27   3.8201      0.00    -0.13       0.00    -0.05
 28   3.8201      0.00    -0.52       0.00     0.23
 29   3.8201      0.00    -0.09       0.00     0.11
 30   4.0551      0.00     0.24       0.00    -0.05
 31   4.0551      0.00     0.10       0.00    -0.33
 32   4.0552      0.00     0.12       0.00    -0.07
 33   4.0552      0.00     0.16       0.00     0.04
 34   4.1425      0.00     0.09       0.00     0.09
 35   4.1425      0.00     0.08       0.00    -0.03
 36   4.1426      0.00     0.30       0.00     0.02
 37   4.1426      0.00     0.08       0.00    -0.06
 38   4.1861      0.00     0.19       0.00    -0.08
 39   4.1861      0.00     0.16       0.00    -0.08
 40   4.1862      0.00     0.20       0.00    -0.03

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.

12FZ78    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        18.700    18.700    18.700
ecceobj         0.437     0.437     0.437
incobj         17.002    17.002    17.002
qmin            9.730     9.929     9.275
qmax           28.645    35.908    31.924
amean          16.852    21.079    19.157
amin           15.714    18.699    18.638
amax           19.586    23.203    20.637
emean           0.393     0.507     0.473
emin            0.349     0.437     0.437
emax            0.463     0.548     0.550
imean          15.620    15.601    17.026
imin           13.318    13.851    15.843
imax           17.271    17.503    17.393
excite_mean     0.477     0.575     0.557
fracstop        0.004     0.009     0.002
cjmean          3.113     2.818     2.910

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       238.6     267.9     174.4
kozaiamp         90.7     102.5      21.3