Orbit Fit and Astrometric record for 13EC138

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: 13EC138   
# Created Wed Oct 17 01:09:19 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   49 observations of   49
# Arc:  13.30y
# First observation: 2001/12/20
#  Last observation: 2015/04/10
# Chi-squared of fit:    25.79 DOF:   92 RMS:  0.13
# Min/Max residuals:    -0.28    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.605488E-05  2.367554E-02 -1.732438E-06 -3.316549E-03  2.384868E-02 -2.090969E-03
# Covariance matrix:
  4.8817E-13 -8.2868E-14 -6.5248E-15  6.7381E-15 -4.3644E-14 -1.3908E-13
 -8.2868E-14  5.7566E-14  7.3838E-15 -7.6215E-15  5.7601E-14  1.5731E-13
 -6.5248E-15  7.3838E-15  4.4696E-13 -3.6192E-14  6.8498E-15  2.1497E-14
  6.7381E-15 -7.6215E-15 -3.6192E-14  4.0216E-15 -7.0296E-15 -2.2199E-14
 -4.3644E-14  5.7601E-14  6.8498E-15 -7.0296E-15  1.4526E-13  1.4511E-13
 -1.3908E-13  1.5731E-13  2.1497E-14 -2.2199E-14  1.4511E-13  4.5819E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.775030  112.751683    0.401923    0.043091   -0.890825  2452263.759168
# Heliocentric elements and errors
Epoch:              2452264.5000  =  2001/12/21
Mean Anomaly:          323.33581 +/-     0.010
Argument of Peri:      208.84126 +/-     0.013
Long of Asc Node:      310.98772 +/-     0.000
Inclination:             8.38548 +/-     0.000
Eccentricity:         0.14087897 +/-    0.0000
Semi-Major Axis:     47.82986723 +/-    0.0030
Time of Perihelion: 2464569.6473 +/-      10.9
Perihelion:          41.09164498 +/-    0.0033
Aphelion:            54.56808948 +/-    0.0040
Period (y)              330.7935 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -16.17056861 +/-    0.0003
Ecliptic Y           39.60627899 +/-    0.0006
Ecliptic Z            2.03000183 +/-    0.0000
Ecliptic XDOT        -0.00242946 +/-    0.0000
Ecliptic YDOT        -0.00125540 +/-    0.0000
Ecliptic ZDOT        -0.00039171 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.82838959 +/-    0.0006
Geocenter to KBO     41.93113700 +/-    0.0007
# Hcoef:  5.82

The following table shows the complete astrometric record for 13EC138. 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 (13EC138) followed by the observatory code and reference code for the source of the astrometry.

2001 12  20.258425 07 40 16.24   +24 15 21.8   22.0V 13EC138   645  C~2aHn      
2001 12  20.259254 07 40 16.24   +24 15 21.9   21.9V 13EC138   645  C~2aHn      
2001 12  20.261742 07 40 16.24   +24 15 22.1   22.8V 13EC138   645  C~2aHn      
2012 02  13.30661  08 32 25.597  +19 36 37.69  22.1w 13EC138   F51  C~1vWw      
2012 02  13.32114  08 32 25.524  +19 36 37.94  22.0w 13EC138   F51  C~1vWw      
2012 02  13.33571  08 32 25.449  +19 36 38.14  22.0w 13EC138   F51  C~1vWw      
2012 02  13.35030  08 32 25.386  +19 36 38.28  22.0w 13EC138   F51  C~1vWw      
2013 03  13.12101  08 36 02.39   +19 09 24.9   21.3R 13EC138   695  C~0uez      
2013 03  13.19879  08 36 02.13   +19 09 25.7         13EC138   695  C~0uez      
2013 03  14.12911  08 35 59.14   +19 09 34.1         13EC138   695  C~0uez      
2014 01  01.41240  08 47 03.282  +18 17 20.99  22.2w 13EC138   F51  C~1vWw      
2014 01  01.42624  08 47 03.215  +18 17 20.58  22.6w 13EC138   F51  C~1vWw      
2014 01  01.44009  08 47 03.163  +18 17 21.18  22.1w 13EC138   F51  C~1vWw      
2014 01  01.45407  08 47 03.105  +18 17 21.10  22.2w 13EC138   F51  C~1vWw      
2014 03  06.41167  08 42 00.987  +18 34 27.66  22.2w 13EC138   F51  C~1vWw      
2014 03  06.42474  08 42 00.930  +18 34 27.35  22.1w 13EC138   F51  C~1vWw      
2014 03  06.43781  08 42 00.870  +18 34 27.62  22.0w 13EC138   F51  C~1vWw      
2014 03  06.45091  08 42 00.813  +18 34 27.86  22.6w 13EC138   F51  C~1vWw      
2014 12  21.59787  08 53 19.050  +17 39 40.02  22.0w 13EC138   F51  C~1vWw      
2014 12  21.61155  08 53 19.001  +17 39 40.12  22.0w 13EC138   F51  C~1vWw      
2014 12  21.62525  08 53 18.962  +17 39 40.55  22.1w 13EC138   F51  C~1vWw      
2014 12  21.64616  08 53 18.888  +17 39 40.72  22.1w 13EC138   F51  C~1vWw      
2015 01  14.37908  08 51 38.143  +17 45 39.03  22.1w 13EC138   F51  C~1vWw      
2015 01  14.39137  08 51 38.078  +17 45 39.27  22.0w 13EC138   F51  C~1vWw      
2015 01  14.40360  08 51 38.024  +17 45 39.43  22.2w 13EC138   F51  C~1vWw      
2015 01  14.41587  08 51 37.961  +17 45 39.63  22.0w 13EC138   F51  C~1vWw      
2015 02  16.29072  08 48 54.914  +17 55 19.15  22.0w 13EC138   F51  C~1vWw      
2015 02  16.30305  08 48 54.870  +17 55 19.42  22.0w 13EC138   F51  C~1vWw      
2015 02  16.31542  08 48 54.805  +17 55 19.46  22.2w 13EC138   F51  C~1vWw      
2015 02  16.32779  08 48 54.741  +17 55 19.78  21.9w 13EC138   F51  C~1vWw      
2015 02  17.29048  08 48 50.139  +17 55 35.71  21.9w 13EC138   F51  C~1vWw      
2015 02  17.30287  08 48 50.086  +17 55 35.88  21.9w 13EC138   F51  C~1vWw      
2015 02  17.31524  08 48 50.040  +17 55 36.20  21.8w 13EC138   F51  C~1vWw      
2015 02  17.32763  08 48 49.983  +17 55 36.38  21.9w 13EC138   F51  C~1vWw      
2015 03  16.37520  08 46 59.310  +18 01 51.36  22.0w 13EC138   F51  C~1vWw      
2015 03  16.38750  08 46 59.262  +18 01 51.45  22.1w 13EC138   F51  C~1vWw      
2015 03  16.39971  08 46 59.220  +18 01 51.54  22.2w 13EC138   F51  C~1vWw      
2015 03  16.41190  08 46 59.177  +18 01 51.72  21.9w 13EC138   F51  C~1vWw      
2015 03  17.35153  08 46 56.173  +18 02 01.47  22.3w 13EC138   F51  C~1vWw      
2015 03  17.36403  08 46 56.136  +18 02 01.59  22.3w 13EC138   F51  C~1vWw      
2015 03  17.37654  08 46 56.094  +18 02 01.61  22.2w 13EC138   F51  C~1vWw      
2015 03  17.38914  08 46 56.055  +18 02 01.77  22.0w 13EC138   F51  C~1vWw      
2015 04  10.30498  08 46 04.204  +18 04 30.44  22.3w 13EC138   F51  C~1vWw      
2015 04  10.30564  08 46 04.203  +18 04 30.22  22.2w 13EC138   F51  C~1vWx      
2015 04  10.31682  08 46 04.193  +18 04 30.32  22.2w 13EC138   F51  C~1vWx      
2015 04  10.31749  08 46 04.203  +18 04 30.48  22.4w 13EC138   F51  C~1vWx      
2015 04  10.32861  08 46 04.176  +18 04 30.55  22.3w 13EC138   F51  C~1vWx      
2015 04  10.32928  08 46 04.193  +18 04 30.20  22.5w 13EC138   F51  C~1vWx      
2015 04  10.34110  08 46 04.169  +18 04 30.27  22.4w 13EC138   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    -0.04       0.00    -0.09
  2   0.0000      0.00     0.01       0.00     0.00
  3   0.0000      0.00     0.19       0.00     0.17
  4  10.1493      0.00     0.09       0.00    -0.09
  5  10.1494      0.00     0.06       0.00    -0.06
  6  10.1494      0.00     0.01       0.00    -0.08
  7  10.1495      0.00     0.13       0.00    -0.15
  8  11.2275      0.00    -0.14       0.00    -0.01
  9  11.2278      0.00    -0.13       0.00     0.06
 10  11.2303      0.00     0.08       0.00    -0.05
 11  12.0333      0.00     0.08       0.00     0.35
 12  12.0333      0.00    -0.01       0.00    -0.28
 13  12.0334      0.00     0.12       0.00     0.11
 14  12.0334      0.00     0.18       0.00    -0.18
 15  12.2085      0.00     0.10       0.00     0.20
 16  12.2085      0.00     0.01       0.00    -0.27
 17  12.2086      0.00    -0.12       0.00    -0.15
 18  12.2086      0.00    -0.21       0.00    -0.07
 19  13.0030      0.00    -0.15       0.00    -0.14
 20  13.0030      0.00    -0.14       0.00    -0.21
 21  13.0031      0.00     0.02       0.00     0.05
 22  13.0031      0.00     0.04       0.00    -0.03
 23  13.0681      0.00    -0.01       0.00     0.05
 24  13.0681      0.00    -0.09       0.00     0.08
 25  13.0682      0.00    -0.01       0.00     0.03
 26  13.0682      0.00    -0.06       0.00     0.01
 27  13.1582      0.00     0.09       0.00     0.08
 28  13.1582      0.00     0.33       0.00     0.14
 29  13.1583      0.00     0.25       0.00    -0.03
 30  13.1583      0.00     0.20       0.00     0.08
 31  13.1609      0.00    -0.01       0.00    -0.02
 32  13.1610      0.00     0.09       0.00    -0.06
 33  13.1610      0.00     0.30       0.00     0.05
 34  13.1610      0.00     0.34       0.00     0.02
 35  13.2351      0.00     0.12       0.00    -0.01
 36  13.2351      0.00     0.01       0.00    -0.04
 37  13.2352      0.00    -0.01       0.00    -0.08
 38  13.2352      0.00    -0.05       0.00    -0.03
 39  13.2378      0.00     0.07       0.00     0.03
 40  13.2378      0.00     0.12       0.00     0.02
 41  13.2378      0.00     0.10       0.00    -0.08
 42  13.2379      0.00     0.13       0.00    -0.05
 43  13.3033      0.00    -0.13       0.00     0.17
 44  13.3033      0.00    -0.14       0.00    -0.05
 45  13.3034      0.00    -0.09       0.00     0.03
 46  13.3034      0.00     0.07       0.00     0.18
 47  13.3034      0.00    -0.14       0.00     0.23
 48  13.3034      0.00     0.13       0.00    -0.12
 49  13.3034      0.00    -0.02       0.00    -0.07

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.

13EC138    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        47.570    47.569    47.570
ecceobj         0.136     0.136     0.136
incobj          8.409     8.409     8.409
qmin           37.163    37.831    36.755
qmax           59.574    58.917    59.894
amean          47.674    47.785    47.673
amin           47.068    47.055    47.005
amax           48.637    48.629    48.649
emean           0.179     0.163     0.179
emin            0.119     0.119     0.119
emax            0.226     0.212     0.233
imean           9.698     9.781     9.885
imin            9.098     9.078     9.166
imax           10.552    10.592    10.712
excite_mean     0.247     0.236     0.249
fracstop        1.000     1.000     1.000
cjmean          3.071     3.079     3.068

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       183.6     181.4     184.5
kozaiamp        180.0     180.0     180.0