Orbit Fit and Astrometric record for 13FZ27

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: 13FZ27    
# Created Fri Dec 15 02:37:50 2017
# Orbit generated from Bernstein formalism
# Fitting   44 observations of   50
# Arc:  13.93y
# First observation: 2001/02/20
#  Last observation: 2015/01/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.002921   0.017215   0.000514  -0.003231   0.020243   0.000000
# Chi-squared of fit:    36.26 DOF:   82 RMS:  0.16
# Min/Max residuals:    -0.84    0.44
# Exact a, adot, b, bdot, g, gdot:
  1.296924E-05  1.607224E-02 -2.933337E-06 -3.016940E-03  1.979264E-02 -3.449653E-03
# Covariance matrix:
  4.8595E-13 -7.6906E-14 -1.5627E-14  8.3283E-15 -5.3646E-14 -1.7565E-13
 -7.6906E-14  2.5010E-14  7.7837E-15 -4.1449E-15  2.6404E-14  8.7444E-14
 -1.5627E-14  7.7837E-15  3.9940E-13 -3.3890E-14  8.1663E-15  3.0666E-14
  8.3283E-15 -4.1449E-15 -3.3890E-14  3.6521E-15 -5.9241E-15 -1.6436E-14
 -5.3646E-14  2.6404E-14  8.1663E-15 -5.9241E-15  1.7189E-13  1.1370E-13
 -1.7565E-13  8.7444E-14  3.0666E-14 -1.6436E-14  1.1370E-13  3.4598E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.465440  145.772096   -0.107361   -0.162034   -0.970940  2451960.716998
# Heliocentric elements and errors
Epoch:              2451960.5000  =  2001/02/20
Mean Anomaly:          262.27961 +/-     0.024
Argument of Peri:      342.27594 +/-     0.015
Long of Asc Node:      284.90614 +/-     0.001
Inclination:            13.99906 +/-     0.000
Eccentricity:         0.21275913 +/-    0.0000
Semi-Major Axis:     48.12241878 +/-    0.0036
Time of Perihelion: 2485058.5413 +/-       7.4
Perihelion:          37.88393485 +/-    0.0032
Aphelion:            58.36090272 +/-    0.0046
Period (y)              333.8331 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -42.07509926 +/-    0.0009
Ecliptic Y           28.50150710 +/-    0.0006
Ecliptic Z           -8.30891657 +/-    0.0002
Ecliptic XDOT        -0.00081293 +/-    0.0000
Ecliptic YDOT        -0.00213824 +/-    0.0000
Ecliptic ZDOT        -0.00033298 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   51.49454320 +/-    0.0008
Geocenter to KBO     50.52383487 +/-    0.0011
# Hcoef:  4.32

The following table shows the complete astrometric record for 13FZ27. 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 (13FZ27) followed by the observatory code and reference code for the source of the astrometry.

2001 02  20.216255 09 39 21.54   +04 00 12.2   21.2V 13FZ27    645  C~1Pqp      
2001 02  20.217085 09 39 21.54   +04 00 12.2   20.9V 13FZ27    645  C~1Pqp      
2001 02  20.219572 09 39 21.53   +04 00 12.2   22.1V 13FZ27    645  C~1Pqp      
2011 01  30.40836  10 14 25.003  -00 58 05.47  21.1w 13FZ27    F51  C@0614      
2011 01  30.42311  10 14 24.947  -00 58 05.19  21.1w 13FZ27    F51  C@0614      
2011 01  30.43919  10 14 24.886  -00 58 05.01  21.1w 13FZ27    F51  C@0614      
2011 01  30.45396  10 14 24.832  -00 58 04.82  21.1w 13FZ27    F51  C@0614      
2011 02  04.45484  10 14 06.007  -00 56 53.72  21.2w 13FZ27    F51  C~1vWx      
2011 02  04.46911  10 14 05.948  -00 56 53.62  21.2w 13FZ27    F51  C@0614      
2011 02  04.48358  10 14 05.896  -00 56 53.36  21.1w 13FZ27    F51  C@0614      
2011 02  05.47167  10 14 02.09   -00 56 38.1   20.2R 13FZ27    F51  C~1301      
2011 02  05.48609  10 14 02.04   -00 56 38.0   19.8R 13FZ27    F51  C~1301      
2011 10  27.60670  10 19 07.781  -01 12 43.34  21.3w 13FZ27    F51  C~1vWx      
2011 10  27.61176  10 19 07.793  -01 12 43.44  21.4w 13FZ27    F51  C~1vWx      
2011 10  27.61687  10 19 07.799  -01 12 43.56  21.3w 13FZ27    F51  C~1vWx      
2011 10  27.62194  10 19 07.818  -01 12 43.77  21.4w 13FZ27    F51  C~1vWx      
2012 03  21.29919  10 14 38.919  -01 11 03.16  21.1w 13FZ27    F51  C~1vWx      
2012 03  21.31309  10 14 38.866  -01 11 02.78  21.2w 13FZ27    F51  C~1vWx      
2012 03  21.32702  10 14 38.821  -01 11 02.40  21.4w 13FZ27    F51  C~1vWx      
2013 02  21.41779  10 19 58.319  -01 52 41.45  20.5i 13FZ27    F51  C@0614      
2013 02  21.43163  10 19 58.255  -01 52 41.20  20.6i 13FZ27    F51  C@0614      
2013 02  21.47207  10 19 58.103  -01 52 40.30  20.9r 13FZ27    F51  C@0614      
2013 02  21.48436  10 19 58.035  -01 52 39.92  21.1r 13FZ27    F51  C@0614      
2013 03  16.03362  10 18 29.761  -01 43 55.94  21.0r 13FZ27    807  C~12gE      
2013 03  16.03362  10 18 29.73   -01 43 56.7   21.1r 13FZ27    W84  C~2J9e      
2013 03  16.10813  10 18 29.495  -01 43 53.90        13FZ27    807  C~12gE      
2013 03  16.10813  10 18 29.45   -01 43 54.8         13FZ27    W84  C~2J9e      
2013 03  16.17826  10 18 29.214  -01 43 52.42        13FZ27    807  C~12gE      
2013 03  16.17827  10 18 29.19   -01 43 53.1         13FZ27    W84  C~2J9e      
2013 03  17.03265  10 18 26.100  -01 43 31.19  20.9r 13FZ27    807  C~12gE      
2013 07  06.99773  10 17 58.589  -01 20 50.06  21.0r 13FZ27    304  C~12gE      
2013 07  07.97482  10 18 01.994  -01 21 00.84        13FZ27    304  C~12gE      
2014 02  22.45956  10 23 28.994  -02 23 20.37  20.7i 13FZ27    F51  C@0614      
2014 02  22.47177  10 23 28.945  -02 23 20.14  20.7i 13FZ27    F51  C@0614      
2014 02  22.48394  10 23 28.904  -02 23 19.60  20.6i 13FZ27    F51  C@0614      
2014 02  22.49608  10 23 28.847  -02 23 19.62  20.7i 13FZ27    F51  C@0614      
2014 03  24.00131  10 21 35.482  -02 11 34.54        13FZ27    807  C~12gE      
2014 03  24.99677  10 21 32.076  -02 11 09.42        13FZ27    807  C~12gE      
2014 03  26.00180  10 21 28.667  -02 10 43.46        13FZ27    807  C~12gE      
2014 12  08.62113  10 30 27.657  -02 59 30.13  20.8i 13FZ27    F51  C~1vWx      
2014 12  08.63045  10 30 27.645  -02 59 30.32  20.8i 13FZ27    F51  C~1vWx      
2014 12  08.63979  10 30 27.643  -02 59 30.42  20.7i 13FZ27    F51  C~1vWx      
2014 12  08.64845  10 30 27.642  -02 59 30.51  20.7i 13FZ27    F51  C~1vWx      
2015 01  24.55004  10 28 55.889  -03 02 01.74  21.1w 13FZ27    F51  C~1vWx      
2015 01  24.56139  10 28 55.850  -03 02 01.60  21.2w 13FZ27    F51  C~1vWx      
2015 01  24.59474  10 28 55.736  -03 02 01.29  21.2w 13FZ27    F51  C~1vWx      
2015 01  26.45342  10 28 49.418  -03 01 43.54  21.1w 13FZ27    F51  C~1vWx      
2015 01  26.46481  10 28 49.380  -03 01 43.34  21.2w 13FZ27    F51  C~1vWx      
2015 01  26.47617  10 28 49.339  -03 01 43.38  21.2w 13FZ27    F51  C~1vWx      
2015 01  26.48752  10 28 49.295  -03 01 43.22  21.1w 13FZ27    F51  C~1vWx      

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    -0.03       0.00     0.11
  2   0.0000      0.00     0.03       0.00     0.11
  3   0.0000     -0.14     0.04      -0.05     0.06
  4   9.9417  36061.09     0.09   -6456.22     0.02
  5   9.9417  36060.18     0.05   -6456.24     0.09
  6   9.9417  36059.23     0.05   -6456.37     0.06
  7   9.9418  36058.37     0.07   -6456.46     0.06
  8   9.9555  35759.64     0.01   -6483.23     0.02
  9   9.9555  35758.74    -0.00   -6483.44    -0.11
 10   9.9556  35757.90     0.05   -6483.45    -0.05
 11   9.9583  35697.21    -0.13   -6488.01    -0.08
 12   9.9583  35696.45     0.01   -6488.17    -0.17
 13  10.6814  40500.09     0.06   -5870.41    -0.02
 14  10.6814  40500.30     0.02   -5870.44     0.02
 15  10.6815  40500.43    -0.10   -5870.53     0.01
 16  10.6815  40500.78     0.01   -5870.64    -0.02
 17  11.0803  36533.44     0.02   -7132.08    -0.08
 18  11.0803  36532.53    -0.05   -7131.99    -0.07
 19  11.0804  36531.75    -0.01   -7131.85    -0.01
 20  12.0033  42082.04    -0.00   -7926.13    -0.08
 21  12.0033  42081.01    -0.09   -7926.21    -0.16
 22  12.0034  42078.46     0.09   -7926.11    -0.03
 23  12.0035  42077.32    -0.21   -7926.09     0.00
 24  12.0652  40596.37    -0.17   -7866.73    -0.04
 25  12.0652  40596.55 (   0.02)  -7865.84 (   0.85)
 26  12.0654  40591.59    -0.21   -7866.31     0.00
 27  12.0654  40591.94 (   0.14)  -7865.22 (   1.10)
 28  12.0656  40587.30 (  -0.04)  -7865.21 (   0.75)
 29  12.0656  40587.18    -0.16   -7865.98    -0.02
 30  12.0679  40534.17 (   0.03)  -7860.44 (   0.77)
 31  12.3745  39655.45     0.44   -6688.71    -0.60
 32  12.3772  39709.11    -0.16   -6681.88    -0.84
 33  13.0055  45840.73    -0.13   -8642.27    -0.11
 34  13.0055  45839.92    -0.10   -8642.30    -0.13
 35  13.0055  45839.12    -0.07   -8641.98     0.19
 36  13.0056  45838.28    -0.08   -8642.29    -0.11
 37  13.0863  43912.43 (   0.08)  -8531.06 (   0.57)
 38  13.0891  43853.30     0.17   -8523.93     0.41
 39  13.0918  43793.83 (  -0.11)  -8516.00 (   0.78)
 40  13.7971  52864.33     0.19   -8639.46     0.13
 41  13.7972  52864.22     0.08   -8639.71     0.04
 42  13.7972  52864.23     0.08   -8639.81     0.09
 43  13.7972  52864.24     0.09   -8639.91     0.14
 44  13.9256  51540.03     0.02   -9251.22     0.17
 45  13.9257  51539.39     0.01   -9251.28     0.21
 46  13.9257  51537.57     0.01   -9251.55     0.21
 47  13.9308  51436.46     0.00   -9266.11     0.13
 48  13.9309  51435.82     0.00   -9266.10     0.23
 49  13.9309  51435.22     0.04   -9266.35     0.07
 50  13.9309  51434.50    -0.04   -9266.41     0.10

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.

13FZ27    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        47.948    47.958    47.937
ecceobj         0.214     0.214     0.214
incobj         14.019    14.019    14.019
qmin           36.126    36.346    36.470
qmax           60.697    60.371    60.281
amean          47.592    47.681    47.975
amin           47.007    47.045    47.017
amax           48.638    48.620    48.682
emean           0.208     0.205     0.209
emin            0.173     0.163     0.177
emax            0.248     0.242     0.242
imean          15.338    15.687    14.782
imin           14.278    14.908    13.687
imax           16.309    16.516    16.149
excite_mean     0.337     0.340     0.330
fracstop        1.000     1.000     1.000
cjmean          3.003     3.002     3.014

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       179.7     175.6     176.9
kozaiamp        180.0     180.0     179.9