Orbit Fit and Astrometric record for 13BK78

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: 13BK78    
# Created Sat Oct 21 01:38:12 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   38 observations of   39
# Arc:   4.10y
# First observation: 2011/01/10
#  Last observation: 2015/02/17
# Chi-squared of fit:    31.78 DOF:   70 RMS:  0.16
# Min/Max residuals:    -0.33    0.36
# Exact a, adot, b, bdot, g, gdot:
  4.441558E-05  3.652421E-01 -1.431564E-06 -3.111209E-03  1.301971E-01 -8.327843E-02
# Covariance matrix:
  1.3311E-10  3.3259E-07 -7.7637E-13 -2.8663E-09 -4.5158E-11  1.5307E-07
  3.3259E-07  8.6743E-04 -1.9268E-09 -7.4751E-06 -1.1517E-07  3.9921E-04
 -7.7637E-13 -1.9268E-09  1.7961E-13  3.5508E-12  2.6275E-13 -8.8670E-10
 -2.8663E-09 -7.4751E-06  3.5508E-12  1.0717E-07  9.9255E-10 -3.4404E-06
 -4.5158E-11 -1.1517E-07  2.6275E-13  9.9255E-10  1.5476E-11 -5.3006E-08
  1.5307E-07  3.9921E-04 -8.8670E-10 -3.4404E-06 -5.3006E-08  1.8374E-04
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.420134   73.952858   -0.576191   -0.033755   -0.798771  2455571.787736
# Heliocentric elements and errors
Epoch:              2455572.5000  =  2011/01/11
Mean Anomaly:          358.50480 +/-     0.005
Argument of Peri:      282.98298 +/-     0.000
Long of Asc Node:      175.13871 +/-     0.000
Inclination:             2.20508 +/-     0.000
Eccentricity:         0.78905074 +/-    0.0003
Semi-Major Axis:     39.18716017 +/-    0.0000
Time of Perihelion: 2455944.6434 +/-       1.3
Perihelion:           8.26650255 +/-    0.0123
Aphelion:            70.10781779 +/-    0.0123
Period (y)              245.3149 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            1.79235557 +/-    0.0000
Ecliptic Y            8.30184556 +/-    0.0000
Ecliptic Z           -0.32436100 +/-    0.0000
Ecliptic XDOT        -0.00786655 +/-    0.0000
Ecliptic YDOT         0.00044511 +/-    0.0000
Ecliptic ZDOT         0.00000859 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    8.49937032 +/-    0.0000
Geocenter to KBO      7.68078312 +/-    0.0000
# Hcoef: 12.64

The following table shows the complete astrometric record for 13BK78. 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 (13BK78) followed by the observatory code and reference code for the source of the astrometry.

2011 01  10.28697  04 51 36.00   +20 04 17.8   21.9R 13BK78    695  C~1vWv      
2011 01  10.40310  04 51 34.52   +20 04 16.3         13BK78    695  C~1vWv      
2011 01  10.41995  04 51 34.31   +20 04 16.1         13BK78    695  C~1vWv      
2013 01  17.48021  07 59 14.946  +18 28 45.10  21.9w 13BK78    F51  C@0613      
2013 01  17.49550  07 59 14.653  +18 28 45.90  21.8w 13BK78    F51  C@0613      
2013 01  17.51085  07 59 14.369  +18 28 46.89  21.7w 13BK78    F51  C@0613      
2013 01  18.284493 07 59 00.308  +18 29 30.84  21.1R 13BK78    568  C~0oSM      
2013 01  18.285747 07 59 00.285  +18 29 30.91  21.1R 13BK78    568  C~0oSM      
2013 01  18.287004 07 59 00.271  +18 29 31.04  21.0R 13BK78    568  C~0oSM      
2013 01  19.261009 07 58 42.473  +18 30 26.59        13BK78    568  C~0oSM      
2013 01  20.287995 07 58 23.714  +18 31 25.45  21.2R 13BK78    568  C~0oSM      
2013 01  20.289246 07 58 23.691  +18 31 25.36  21.1R 13BK78    568  C~0oSM      
2013 01  20.402425 07 58 21.586  +18 31 32.04  20.9R 13BK78    568  C~0oSM      
2013 01  20.403678 07 58 21.564  +18 31 32.15  21.0R 13BK78    568  C~0oSM      
2013 01  21.507538 07 58 01.421  +18 32 35.31  21.3R 13BK78    F51  C~0oSM      
2013 01  24.277758 07 57 11.34   +18 35 14.1   21.8R 13BK78    F65  C~0oSM      
2013 02  01.412435 07 54 48.622  +18 42 56.94  21.7R 13BK78    568  C~0oSM      
2013 02  01.414434 07 54 48.595  +18 42 57.01  21.7R 13BK78    568  C~0oSM      
2013 02  01.416425 07 54 48.554  +18 42 57.09  21.8R 13BK78    568  C~0oSM      
2013 02  09.85748  07 52 32.92   +18 50 34.8   22.3R 13BK78    J43  C~0oSM      
2013 02  09.91022  07 52 32.11   +18 50 37.5   21.8R 13BK78    J43  C~0oSM      
2014 01  05.43598  09 23 47.588  +13 39 01.21  22.3w 13BK78    F51  C~1vWv      
2014 01  05.45111  09 23 47.403  +13 39 02.30  22.4w 13BK78    F51  C~1vWv      
2014 01  05.48144  09 23 47.023  +13 39 03.76  22.2w 13BK78    F51  C~1vWv      
2014 01  25.39439  09 19 00.696  +14 01 48.44  22.2w 13BK78    F51  C~1vWv      
2014 01  25.40594  09 19 00.498  +14 01 49.32  22.5w 13BK78    F51  C~1vWv      
2014 01  25.41744  09 19 00.303  +14 01 50.19  21.9w 13BK78    F51  C~1vWv      
2014 01  25.42894  09 19 00.128  +14 01 51.07  22.1w 13BK78    F51  C~1vWv      
2014 02  20.33220  09 11 52.883  +14 36 59.51  21.5i 13BK78    F51  C~1vWv      
2014 02  20.34511  09 11 52.676  +14 37 00.49  21.8i 13BK78    F51  C~1vWv      
2014 02  20.35799  09 11 52.481  +14 37 01.33  21.7i 13BK78    F51  C~1vWv      
2015 02  16.33268  10 18 18.809  +09 31 50.97  22.4w 13BK78    F51  C~1vWv      
2015 02  16.34523  10 18 18.615  +09 31 52.07  22.2w 13BK78    F51  C~1vWv      
2015 02  16.35774  10 18 18.426  +09 31 53.28  22.3w 13BK78    F51  C~1vWv      
2015 02  16.37031  10 18 18.209  +09 31 54.64  22.4w 13BK78    F51  C~1vWv      
2015 02  17.38435  10 18 02.699  +09 33 27.90  22.3w 13BK78    F51  C~1vWv      
2015 02  17.39713  10 18 02.508  +09 33 29.02  22.2w 13BK78    F51  C~1vWv      
2015 02  17.40996  10 18 02.310  +09 33 30.40  22.4w 13BK78    F51  C~1vWv      
2015 02  17.42283  10 18 02.100  +09 33 31.62  22.4w 13BK78    F51  C~1vWv      

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 (  -0.65)      0.00 (   3.85)
  2   0.0003      0.00     0.13       0.00     0.17
  3   0.0004      0.00     0.16       0.00     0.19
  4   2.0211      0.00     0.28       0.00    -0.10
  5   2.0211      0.00     0.18       0.00    -0.16
  6   2.0211      0.00     0.24       0.00    -0.03
  7   2.0233      0.00     0.08       0.00    -0.07
  8   2.0233      0.00     0.08       0.00    -0.07
  9   2.0233      0.00     0.22       0.00    -0.01
 10   2.0259      0.00     0.18       0.00    -0.06
 11   2.0288      0.00     0.11       0.00    -0.05
 12   2.0288      0.00     0.12       0.00    -0.21
 13   2.0291      0.00     0.20       0.00    -0.14
 14   2.0291      0.00     0.22       0.00    -0.10
 15   2.0321      0.00     0.36       0.00    -0.19
 16   2.0397      0.00    -0.12       0.00    -0.33
 17   2.0619      0.00     0.15       0.00     0.03
 18   2.0620      0.00     0.27       0.00    -0.01
 19   2.0620      0.00     0.18       0.00    -0.04
 20   2.0851      0.00     0.21       0.00    -0.14
 21   2.0852      0.00     0.28       0.00    -0.24
 22   2.9874      0.00     0.31       0.00    -0.04
 23   2.9874      0.00     0.33       0.00     0.19
 24   2.9875      0.00     0.25       0.00    -0.06
 25   3.0420      0.00     0.26       0.00    -0.05
 26   3.0421      0.00     0.17       0.00    -0.08
 27   3.0421      0.00     0.10       0.00    -0.12
 28   3.0421      0.00     0.34       0.00    -0.14
 29   3.1131      0.00     0.09       0.00     0.16
 30   3.1131      0.00     0.08       0.00     0.11
 31   3.1131      0.00     0.25       0.00    -0.07
 32   4.1014      0.00     0.21       0.00    -0.10
 33   4.1015      0.00     0.23       0.00    -0.16
 34   4.1015      0.00     0.31       0.00    -0.10
 35   4.1015      0.00    -0.00       0.00     0.09
 36   4.1043      0.00     0.05       0.00    -0.04
 37   4.1043      0.00     0.19       0.00    -0.10
 38   4.1044      0.00     0.24       0.00     0.09
 39   4.1044      0.00     0.12       0.00     0.12

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.

13BK78    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        39.275    39.274    39.276
ecceobj         0.789     0.789     0.789
incobj          2.199     2.199     2.199
qmin            8.243     8.239     8.142
qmax           70.246    71.463    82.748
amean          39.219    39.091    41.512
amin           39.163    36.981    39.194
amax           39.275    39.939    45.557
emean           0.789     0.787     0.800
emin            0.789     0.773     0.789
emax            0.790     0.792     0.816
imean           2.169     2.258     2.220
imin            2.162     2.162     2.162
imax            2.176     2.527     2.263
excite_mean     0.790     0.788     0.801
fracstop        0.000     0.001     0.001
cjmean          2.169     2.177     2.134

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       283.1     287.5     286.1
kozaiamp          0.4       7.3       3.0