Orbit Fit and Astrometric record for 13UE15

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: 13UE15    
# Created Sat Oct 20 01:09:18 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   87 observations of   87
# Arc:  13.10y
# First observation: 2003/11/16
#  Last observation: 2016/12/22
# Chi-squared of fit:    46.76 DOF:  168 RMS:  0.13
# Min/Max residuals:    -0.39    0.46
# Exact a, adot, b, bdot, g, gdot:
  2.556713E-05  7.339864E-02  1.849342E-06  8.233254E-03  4.559452E-02 -2.109218E-02
# Covariance matrix:
  4.8513E-13 -4.6481E-11 -2.1299E-14 -4.7580E-12  6.1050E-12 -1.0226E-10
 -4.6481E-11  8.8974E-08  6.4563E-11  9.1376E-09  1.1879E-09  1.9633E-07
 -2.1299E-14  6.4563E-11  3.0712E-13  6.5714E-12  1.2757E-12  1.4248E-10
 -4.7580E-12  9.1376E-09  6.5714E-12  9.4479E-10  1.2233E-10  2.0164E-08
  6.1050E-12  1.1879E-09  1.2757E-12  1.2233E-10  2.4040E-10  2.6273E-09
 -1.0226E-10  1.9633E-07  1.4248E-10  2.0164E-08  2.6273E-09  4.3324E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.076293    4.991758   -0.735527   -0.023879   -0.659939  2452959.676199
# Heliocentric elements and errors
Epoch:              2452960.5000  =  2003/11/17
Mean Anomaly:          353.86506 +/-     0.004
Argument of Peri:       18.78230 +/-     0.001
Long of Asc Node:       24.17990 +/-     0.001
Inclination:             6.74181 +/-     0.000
Eccentricity:         0.65079536 +/-    0.0000
Semi-Major Axis:     59.79542903 +/-    0.0000
Time of Perihelion: 2455838.6151 +/-       1.9
Perihelion:          20.88084135 +/-    0.0003
Aphelion:            98.71001670 +/-    0.0003
Period (y)              462.3919 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           22.42552413 +/-    0.0000
Ecliptic Y            2.70102735 +/-    0.0000
Ecliptic Z           -0.79456943 +/-    0.0000
Ecliptic XDOT        -0.00163110 +/-    0.0000
Ecliptic YDOT         0.00427600 +/-    0.0000
Ecliptic ZDOT         0.00054011 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   22.60171307 +/-    0.0000
Geocenter to KBO     21.93266506 +/-    0.0000
# Hcoef:  8.52

The following table shows the complete astrometric record for 13UE15. 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 (13UE15) followed by the observatory code and reference code for the source of the astrometry.

2003 11  16.175456 00 21 37.15   +00 04 38.1         13UE15    645  C~1vX4      
2003 11  16.176285 00 21 37.15   +00 04 38.1         13UE15    645  C~1vX4      
2003 11  16.178773 00 21 37.14   +00 04 38.1         13UE15    645  C~1vX4      
2003 11  20.154815 00 21 21.24   +00 03 34.7   22.0V 13UE15    645  C~1vX4      
2003 11  20.155644 00 21 21.23   +00 03 34.7   21.5V 13UE15    645  C~1vX4      
2003 11  20.158132 00 21 21.23   +00 03 34.7   22.9V 13UE15    645  C~1vX4      
2008 10  29.396945 01 44 58.69   +11 28 12.1   21.3V 13UE15    645  C~1vX4      
2008 10  29.397774 01 44 58.69   +11 28 12.1   20.8V 13UE15    645  C~1vX4      
2008 10  29.400262 01 44 58.66   +11 28 12.0   22.4V 13UE15    645  C~1vX4      
2008 11  02.383128 01 44 26.35   +11 25 33.3   21.4V 13UE15    645  C~1vX4      
2008 11  02.383957 01 44 26.34   +11 25 33.2   20.8V 13UE15    645  C~1vX4      
2008 11  02.386445 01 44 26.32   +11 25 33.2   22.5V 13UE15    645  C~1vX4      
2010 07  17.59415  02 27 08.686  +16 07 05.54  21.8G 13UE15    F51  C~2kPT      
2010 10  08.39686  02 24 59.909  +16 10 20.03  21.5G 13UE15    F51  C~2kPT      
2010 10  08.41499  02 24 59.772  +16 10 19.51  21.7G 13UE15    F51  C~2kPT      
2010 10  08.43324  02 24 59.622  +16 10 19.07  21.4G 13UE15    F51  C~2kPT      
2010 10  08.45233  02 24 59.476  +16 10 18.36  20.8G 13UE15    F51  C~2kPT      
2010 10  14.51815  02 24 11.757  +16 07 13.05  21.8G 13UE15    F51  C~2kPT      
2010 11  03.44770  02 21 23.007  +15 55 35.33  21.3w 13UE15    F51  C~1vX4      
2010 11  03.46044  02 21 22.891  +15 55 34.74  21.3w 13UE15    F51  C~1vX4      
2010 11  03.48586  02 21 22.667  +15 55 33.81  21.3w 13UE15    F51  C~1vX4      
2010 11  08.29031  02 20 41.534  +15 52 35.71  21.4G 13UE15    F51  C~2kPT      
2011 11  14.29079  02 39 09.778  +17 57 25.50  21.6G 13UE15    F51  C~2kPT      
2011 11  14.30269  02 39 09.681  +17 57 24.86  21.6G 13UE15    F51  C~2kPT      
2011 11  30.28390  02 36 59.168  +17 48 20.45  21.2G 13UE15    F51  C~2kPT      
2012 02  04.22316  02 34 16.290  +17 35 14.71  21.4G 13UE15    F51  C~2kPT      
2012 02  04.23695  02 34 16.339  +17 35 15.08  21.1G 13UE15    F51  C~2kPT      
2012 10  19.54138  03 02 31.024  +20 10 33.07  21.6w 13UE15    F51  C~1vX4      
2012 10  19.55561  03 02 30.902  +20 10 32.82  21.6w 13UE15    F51  C~1vX4      
2012 10  19.56984  03 02 30.790  +20 10 32.43  21.3w 13UE15    F51  C~1vX4      
2012 11  06.52403  02 59 56.195  +20 02 11.79  21.6G 13UE15    F51  C~2kPT      
2013 03  09.24692  02 56 19.167  +19 45 10.49  22.0G 13UE15    F51  C~2kPT      
2013 08  22.55307  03 25 51.620  +21 59 38.72  21.6G 13UE15    F51  C~2kPT      
2013 10  25.37150  03 21 49.715  +21 58 41.19  21.1G 13UE15    F51  C~2kPT      
2013 10  25.38383  03 21 49.619  +21 58 41.02  21.4G 13UE15    F51  C~2kPT      
2013 10  25.52897  03 21 48.389  +21 58 37.86  21.7G 13UE15    F51  C~2kPT      
2013 10  25.54153  03 21 48.271  +21 58 37.65  21.7G 13UE15    F51  C~2kPT      
2013 10  30.35392  03 21 07.567  +21 56 50.25  21.6w 13UE15    F51  C~1vX4      
2013 10  30.36823  03 21 07.428  +21 56 49.98  21.7w 13UE15    F51  C~1vX4      
2013 10  30.48938  03 21 06.364  +21 56 47.12  21.6w 13UE15    F51  C~1vX4      
2013 10  30.50376  03 21 06.240  +21 56 46.79  21.7w 13UE15    F51  C~1vX4      
2014 10  25.59402  03 42 06.656  +23 38 25.86  22.0G 13UE15    F51  C~2kPT      
2014 10  25.60590  03 42 06.571  +23 38 25.49  21.9G 13UE15    F51  C~2kPT      
2014 10  25.61777  03 42 06.466  +23 38 25.43  21.4G 13UE15    F51  C~2kPT      
2014 11  18.51012  03 38 36.685  +23 30 13.92  21.5G 13UE15    F51  C~2kPT      
2014 11  18.52276  03 38 36.570  +23 30 13.54  21.8G 13UE15    F51  C~2kPT      
2014 11  18.53546  03 38 36.438  +23 30 13.22  21.2G 13UE15    F51  C~2kPT      
2014 12  10.43441  03 35 21.372  +23 20 29.65  21.3i 13UE15    F51  C~1vX4      
2014 12  10.44654  03 35 21.259  +23 20 29.41  21.7i 13UE15    F51  C~1vX4      
2014 12  10.45872  03 35 21.173  +23 20 28.95  21.3i 13UE15    F51  C~1vX4      
2014 12  10.47084  03 35 21.074  +23 20 28.67  21.3i 13UE15    F51  C~1vX4      
2015 01  11.33435  03 32 01.229  +23 07 51.54  21.8w 13UE15    F51  C~1vX4      
2015 01  11.34714  03 32 01.181  +23 07 51.29  21.7w 13UE15    F51  C~1vX4      
2015 01  11.35989  03 32 01.126  +23 07 51.08  21.8w 13UE15    F51  C~1vX4      
2015 01  11.37266  03 32 01.077  +23 07 50.94  22.0w 13UE15    F51  C~1vX4      
2015 01  14.32470  03 31 50.747  +23 07 00.03  22.1w 13UE15    F51  C~1vX4      
2015 01  14.33752  03 31 50.693  +23 06 59.85  22.0w 13UE15    F51  C~1vX4      
2015 01  14.35027  03 31 50.655  +23 06 59.61  22.0w 13UE15    F51  C~1vX4      
2015 01  14.36303  03 31 50.610  +23 06 59.39  21.9w 13UE15    F51  C~1vX4      
2015 02  01.32347  03 31 24.320  +23 03 37.88  21.9G 13UE15    F51  C~2kPT      
2015 02  02.31598  03 31 24.779  +23 03 32.69  21.7G 13UE15    F51  C~2kPT      
2015 09  09.55045  04 05 28.079  +25 03 18.62  21.6G 13UE15    F51  C~2kPT      
2015 09  19.51334  04 05 21.866  +25 05 41.99  21.9G 13UE15    F51  C~2kPT      
2015 10  08.43582  04 04 18.076  +25 07 36.94  21.7G 13UE15    F51  C~2kPT      
2015 10  08.44761  04 04 18.028  +25 07 36.97  22.1G 13UE15    F51  C~2kPT      
2015 10  08.45936  04 04 17.959  +25 07 36.98  22.3G 13UE15    F51  C~2kPT      
2015 10  08.47112  04 04 17.892  +25 07 36.90  22.1G 13UE15    F51  C~2kPT      
2015 12  06.44983  03 56 18.507  +24 53 48.96  22.1G 13UE15    F51  C~2kPT      
2015 12  06.46336  03 56 18.373  +24 53 48.68  22.0G 13UE15    F51  C~2kPT      
2015 12  06.47690  03 56 18.249  +24 53 48.25  22.0G 13UE15    F51  C~2kPT      
2015 12  06.49048  03 56 18.142  +24 53 48.00  21.7G 13UE15    F51  C~2kPT      
2015 12  07.47414  03 56 09.324  +24 53 23.90  20.0G 13UE15    F51  C~2kPT      
2015 12  13.42377  03 55 17.277  +24 50 59.11  21.7G 13UE15    F51  C~2kPT      
2015 12  13.43791  03 55 17.141  +24 50 58.57  21.9G 13UE15    F51  C~2kPT      
2015 12  13.45218  03 55 17.015  +24 50 58.04  21.8G 13UE15    F51  C~2kPT      
2015 12  13.46636  03 55 16.896  +24 50 57.93  22.0G 13UE15    F51  C~2kPT      
2015 12  16.31123  03 54 53.048  +24 49 48.18  21.1G 13UE15    F51  C~2kPT      
2016 01  24.34969  03 51 13.557  +24 36 11.07  21.5G 13UE15    F51  C~2kPT      
2016 02  06.32546  03 51 00.665  +24 33 50.76  22.0G 13UE15    F51  C~2kPT      
2016 10  13.47493  04 23 54.853  +26 21 51.50  21.8G 13UE15    F51  C~2kPT      
2016 10  13.48798  04 23 54.786  +26 21 51.73  21.6G 13UE15    F51  C~2kPT      
2016 10  13.50107  04 23 54.717  +26 21 51.66  22.2G 13UE15    F51  C~2kPT      
2016 10  13.51438  04 23 54.634  +26 21 51.76  21.7G 13UE15    F51  C~2kPT      
2016 12  22.42386  04 14 13.047  +26 07 05.04  22.0G 13UE15    F51  C~2kPT      
2016 12  22.43596  04 14 12.944  +26 07 04.82  21.9G 13UE15    F51  C~2kPT      
2016 12  22.44809  04 14 12.858  +26 07 04.68  22.6G 13UE15    F51  C~2kPT      
2016 12  22.46021  04 14 12.745  +26 07 04.37  21.9G 13UE15    F51  C~2kPT      

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    -0.05       0.00     0.19
  2   0.0000      0.00     0.00       0.00     0.21
  3   0.0000      0.00     0.02       0.00     0.25
  4   0.0109      0.00     0.09       0.00    -0.16
  5   0.0109      0.00    -0.01       0.00    -0.15
  6   0.0109      0.00     0.13       0.00    -0.11
  7   4.9534      0.00     0.16       0.00    -0.16
  8   4.9534      0.00     0.27       0.00    -0.12
  9   4.9534      0.00     0.12       0.00    -0.12
 10   4.9643      0.00     0.35       0.00    -0.20
 11   4.9643      0.00     0.30       0.00    -0.27
 12   4.9643      0.00     0.30       0.00    -0.17
 13   6.6678      0.00    -0.01       0.00     0.22
 14   6.8945      0.00    -0.05       0.00     0.08
 15   6.8946      0.00     0.01       0.00     0.08
 16   6.8946      0.00    -0.10       0.00     0.17
 17   6.8947      0.00    -0.06       0.00     0.01
 18   6.9113      0.00     0.09       0.00     0.04
 19   6.9658      0.00     0.17       0.00     0.09
 20   6.9659      0.00     0.11       0.00    -0.03
 21   6.9659      0.00     0.10       0.00    -0.02
 22   6.9791      0.00    -0.19       0.00    -0.28
 23   7.9948      0.00     0.06       0.00     0.32
 24   7.9949      0.00     0.17       0.00     0.09
 25   8.0386      0.00     0.01       0.00     0.17
 26   8.2192      0.00    -0.08       0.00     0.03
 27   8.2192      0.00    -0.07       0.00     0.19
 28   8.9264      0.00     0.13       0.00     0.06
 29   8.9264      0.00     0.06       0.00     0.16
 30   8.9265      0.00     0.14       0.00     0.12
 31   8.9756      0.00     0.08       0.00    -0.21
 32   9.3116      0.00     0.08       0.00     0.16
 33   9.7669      0.00    -0.08       0.00     0.00
 34   9.9417      0.00     0.06       0.00    -0.01
 35   9.9417      0.00     0.18       0.00     0.08
 36   9.9421      0.00     0.14       0.00    -0.03
 37   9.9421      0.00    -0.03       0.00     0.03
 38   9.9553      0.00     0.12       0.00     0.16
 39   9.9554      0.00    -0.08       0.00     0.22
 40   9.9557      0.00    -0.02       0.00     0.17
 41   9.9557      0.00     0.02       0.00     0.19
 42  10.9416      0.00     0.08       0.00     0.08
 43  10.9416      0.00     0.25       0.00    -0.10
 44  10.9417      0.00     0.12       0.00     0.03
 45  11.0071      0.00     0.07       0.00    -0.01
 46  11.0071      0.00     0.12       0.00    -0.07
 47  11.0071      0.00    -0.07       0.00    -0.06
 48  11.0671      0.00    -0.02       0.00     0.01
 49  11.0671      0.00    -0.18       0.00     0.11
 50  11.0672      0.00     0.07       0.00    -0.01
 51  11.0672      0.00     0.11       0.00     0.04
 52  11.1544      0.00     0.04       0.00     0.13
 53  11.1545      0.00     0.08       0.00     0.11
 54  11.1545      0.00     0.01       0.00     0.14
 55  11.1545      0.00     0.03       0.00     0.24
 56  11.1626      0.00     0.10       0.00     0.09
 57  11.1627      0.00    -0.06       0.00     0.13
 58  11.1627      0.00     0.02       0.00     0.11
 59  11.1627      0.00    -0.01       0.00     0.10
 60  11.2119      0.00    -0.14       0.00    -0.03
 61  11.2146      0.00     0.10       0.00    -0.00
 62  11.8149      0.00     0.05       0.00     0.12
 63  11.8421      0.00    -0.01       0.00     0.02
 64  11.8939      0.00     0.03       0.00    -0.03
 65  11.8940      0.00     0.23       0.00    -0.02
 66  11.8940      0.00     0.11       0.00    -0.02
 67  11.8940      0.00     0.02       0.00    -0.11
 68  12.0555      0.00     0.13       0.00    -0.03
 69  12.0555      0.00    -0.02       0.00     0.02
 70  12.0556      0.00    -0.02       0.00    -0.08
 71  12.0556      0.00     0.24       0.00     0.00
 72  12.0583      0.00     0.27       0.00    -0.39
 73  12.0746      0.00     0.18       0.00     0.06
 74  12.0746      0.00    -0.01       0.00    -0.13
 75  12.0747      0.00    -0.04       0.00    -0.30
 76  12.0747      0.00     0.02       0.00    -0.05
 77  12.0825      0.00     0.46       0.00     0.16
 78  12.1894      0.00     0.09       0.00    -0.07
 79  12.2249      0.00     0.07       0.00    -0.01
 80  12.9098      0.00     0.08       0.00    -0.19
 81  12.9098      0.00     0.14       0.00     0.00
 82  12.9099      0.00     0.18       0.00    -0.11
 83  12.9099      0.00     0.02       0.00    -0.04
 84  13.1013      0.00     0.11       0.00    -0.13
 85  13.1013      0.00     0.07       0.00    -0.08
 86  13.1014      0.00     0.29       0.00     0.05
 87  13.1014      0.00     0.10       0.00     0.02

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.

13UE15    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        61.265    61.264    61.266
ecceobj         0.659     0.659     0.659
incobj          6.723     6.723     6.723
qmin           20.549    20.486    20.395
qmax          115.259   101.609   103.303
amean          63.554    56.179    57.811
amin           58.953    52.874    54.674
amax           68.385    61.264    62.321
emean           0.667     0.625     0.633
emin            0.642     0.603     0.615
emax            0.687     0.659     0.659
imean           7.308     7.987     7.337
imin            6.726     6.726     6.726
imax            8.204     9.124     8.121
excite_mean     0.679     0.640     0.646
fracstop        0.022     0.043     0.106
cjmean          2.618     2.645     2.644

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        40.0      64.1     135.7
kozaiamp         20.9      43.5     119.7