Orbit Fit and Astrometric record for 12XW159

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: 12XW159   
# Created Thu Feb 27 02:10:44 2020
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   87 observations of   87
# Arc:   5.96y
# First observation: 2012/01/10
#  Last observation: 2017/12/25
# Chi-squared of fit:    45.70 DOF:  168 RMS:  0.13
# Min/Max residuals:    -0.45    0.49
# Exact a, adot, b, bdot, g, gdot:
  1.854556E-05  4.023909E-02  5.842566E-07  2.926659E-03  3.267575E-02  1.260795E-04
# Covariance matrix:
  5.7646E-13 -2.9535E-13  2.0319E-14 -1.6245E-14 -1.3302E-13 -8.9269E-13
 -2.9535E-13  1.7880E-13 -1.3678E-14  1.0946E-14  7.2786E-14  5.9694E-13
  2.0319E-14 -1.3678E-14  1.8701E-13 -4.5411E-14 -5.5913E-15 -4.8925E-14
 -1.6245E-14  1.0946E-14 -4.5411E-14  1.2451E-14  4.4479E-15  3.9158E-14
 -1.3302E-13  7.2786E-14 -5.5913E-15  4.4479E-15  7.2043E-14  2.5405E-13
 -8.9269E-13  5.9694E-13 -4.8925E-14  3.9158E-14  2.5405E-13  2.1337E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -20.977040   68.236915   -0.649368   -0.264254   -0.689308  2455936.901986
# Heliocentric elements and errors
Epoch:              2455936.5000  =  2012/01/10
Mean Anomaly:            5.15585 +/-     0.007
Argument of Peri:      273.99259 +/-     0.011
Long of Asc Node:      146.52218 +/-     0.000
Inclination:            20.97800 +/-     0.000
Eccentricity:         0.21444619 +/-    0.0000
Semi-Major Axis:     39.77740082 +/-    0.0014
Time of Perihelion: 2454624.1476 +/-       1.8
Perihelion:          31.24728872 +/-    0.0015
Aphelion:            48.30751291 +/-    0.0020
Period (y)              250.8781 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           10.26820580 +/-    0.0001
Ecliptic Y           27.46668696 +/-    0.0002
Ecliptic Z          -10.95595653 +/-    0.0001
Ecliptic XDOT        -0.00309941 +/-    0.0000
Ecliptic YDOT         0.00134534 +/-    0.0000
Ecliptic ZDOT         0.00022527 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.30314666 +/-    0.0002
Geocenter to KBO     30.60377491 +/-    0.0003
# Hcoef:  7.35

The following table shows the complete astrometric record for 12XW159. 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 (12XW159) followed by the observatory code and reference code for the source of the astrometry.

2012 01  10.40122  04 38 58.147  +00 56 41.17  21.6G 12XW159   F51  C~3466      
2012 10  01.61609  04 56 28.447  +01 52 21.41  21.9G 12XW159   F51  C~3466      
2012 10  24.56186  04 55 20.372  +01 38 54.35  23.1G 12XW159   F51  C~3466      
2012 12  09.37424  04 51 01.140  +01 23 25.94  22.6G 12XW159   F51  C~3466      
2012 12  09.38907  04 51 01.036  +01 23 25.94  22.0G 12XW159   F51  C~3466      
2012 12  09.40402  04 51 00.929  +01 23 25.74  22.3G 12XW159   F51  C~3466      
2013 12  10.38241  05 00 01.149  +01 53 34.25  21.0G 12XW159   F51  C~3466      
2013 12  12.44303  04 59 48.065  +01 53 26.36  22.3G 12XW159   F51  C~3466      
2014 02  25.27373  04 55 01.360  +02 21 38.56  21.9G 12XW159   F51  C~3466      
2014 11  20.51896  05 11 09.136  +02 27 16.25  22.2G 12XW159   F51  C~3466      
2014 11  20.53226  05 11 09.065  +02 27 16.00  22.8G 12XW159   F51  C~3466      
2014 11  20.54553  05 11 08.973  +02 27 15.85  22.2G 12XW159   F51  C~3466      
2014 11  20.55890  05 11 08.907  +02 27 15.43  22.4G 12XW159   F51  C~3466      
2014 11  30.42160  05 10 09.089  +02 24 48.32  22.6G 12XW159   F51  C~3466      
2014 11  30.43254  05 10 09.006  +02 24 48.02  22.0G 12XW159   F51  C~3466      
2014 11  30.44359  05 10 08.949  +02 24 48.57  21.8G 12XW159   F51  C~3466      
2015 01  15.37246  05 05 36.610  +02 28 29.21  22.4G 12XW159   F51  C~3466      
2015 01  15.38485  05 05 36.551  +02 28 29.52  22.4G 12XW159   F51  C~3466      
2015 01  15.39722  05 05 36.485  +02 28 29.72  22.4G 12XW159   F51  C~3466      
2015 01  15.40960  05 05 36.426  +02 28 30.13  22.7G 12XW159   F51  C~3466      
2015 01  17.36287  05 05 27.296  +02 29 12.78  22.2G 12XW159   F51  C~3466      
2015 01  17.37672  05 05 27.233  +02 29 12.96  22.1G 12XW159   F51  C~3466      
2015 01  17.39052  05 05 27.161  +02 29 13.39  22.4G 12XW159   F51  C~3466      
2015 01  17.40453  05 05 27.108  +02 29 13.79  22.3G 12XW159   F51  C~3466      
2015 02  13.27158  05 04 01.524  +02 42 48.59  22.9G 12XW159   F51  C~3466      
2015 09  19.56396  05 23 09.472  +03 27 02.34  22.4G 12XW159   F51  C~3466      
2015 10  08.52658  05 23 00.455  +03 16 16.39  22.5G 12XW159   F51  C~3466      
2015 10  08.53953  05 23 00.434  +03 16 15.89  22.1G 12XW159   F51  C~3466      
2015 10  08.55249  05 23 00.412  +03 16 15.46  22.0G 12XW159   F51  C~3466      
2015 10  08.56545  05 23 00.383  +03 16 15.03  22.5G 12XW159   F51  C~3466      
2015 10  09.52151  05 22 58.740  +03 15 43.00  22.2G 12XW159   F51  C~3466      
2015 10  09.53445  05 22 58.694  +03 15 42.60  21.4G 12XW159   F51  C~3466      
2015 10  14.52548  05 22 48.298  +03 12 57.46  22.2G 12XW159   F51  C~3466      
2015 10  14.53844  05 22 48.265  +03 12 57.14  22.2G 12XW159   F51  C~3466      
2015 10  14.55150  05 22 48.221  +03 12 56.46  22.6G 12XW159   F51  C~3466      
2015 10  14.56454  05 22 48.201  +03 12 55.93  22.7G 12XW159   F51  C~3466      
2015 10  27.51373  05 22 07.858  +03 06 13.90  22.2G 12XW159   F51  C~3467      
2015 11  17.47460  05 20 28.245  +02 57 37.23  21.6G 12XW159   F51  C~3467      
2015 12  03.45737  05 18 52.999  +02 53 42.90  22.7G 12XW159   F51  C~3467      
2015 12  04.40824  05 18 47.058  +02 53 34.14  22.0G 12XW159   F51  C~3467      
2015 12  04.42089  05 18 46.987  +02 53 34.14  22.2G 12XW159   F51  C~3467      
2015 12  04.43359  05 18 46.896  +02 53 34.06  22.8G 12XW159   F51  C~3467      
2015 12  04.44633  05 18 46.812  +02 53 34.04  21.9G 12XW159   F51  C~3467      
2015 12  05.40513  05 18 40.784  +02 53 25.73  22.2G 12XW159   F51  C~3467      
2015 12  05.41752  05 18 40.700  +02 53 25.63  22.4G 12XW159   F51  C~3467      
2015 12  05.42993  05 18 40.620  +02 53 25.40  21.7G 12XW159   F51  C~3467      
2015 12  05.44244  05 18 40.525  +02 53 25.41  21.9G 12XW159   F51  C~3467      
2015 12  18.43133  05 17 18.022  +02 52 38.01  22.7G 12XW159   F51  C~3467      
2015 12  31.46778  05 15 57.702  +02 53 51.96  22.2G 12XW159   F51  C~3467      
2016 01  01.39412  05 15 52.233  +02 54 01.95  22.3G 12XW159   F51  C~3467      
2016 01  11.40166  05 14 56.306  +02 56 27.08  22.0G 12XW159   F51  C~3467      
2016 02  06.33170  05 13 10.057  +03 07 39.77  22.0G 12XW159   F51  C~3467      
2016 02  06.34244  05 13 10.025  +03 07 39.97  21.8G 12XW159   F51  C~3467      
2016 02  06.35329  05 13 09.993  +03 07 40.34  22.0G 12XW159   F51  C~3467      
2016 02  06.36407  05 13 09.961  +03 07 40.65  22.1G 12XW159   F51  C~3467      
2016 02  26.24524  05 12 39.496  +03 19 56.34  22.1G 12XW159   F51  C~3467      
2016 02  26.25803  05 12 39.519  +03 19 56.98  22.7G 12XW159   F51  C~3467      
2016 02  26.27070  05 12 39.535  +03 19 57.79  22.5G 12XW159   F51  C~3467      
2016 02  26.28340  05 12 39.512  +03 19 57.82  23.1G 12XW159   F51  C~3467      
2016 03  05.25491  05 12 41.459  +03 25 25.66  22.7G 12XW159   F51  C~3467      
2016 03  05.26685  05 12 41.467  +03 25 26.23  22.3G 12XW159   F51  C~3467      
2016 03  05.27877  05 12 41.480  +03 25 26.71  22.4G 12XW159   F51  C~3467      
2016 03  05.29065  05 12 41.481  +03 25 27.08  22.4G 12XW159   F51  C~3467      
2016 10  13.59143  05 31 39.925  +03 41 26.12  22.4G 12XW159   F51  C~3467      
2016 10  13.60015  05 31 39.910  +03 41 25.84  22.6G 12XW159   F51  C~3467      
2016 10  13.60359  05 31 39.891  +03 41 25.61  22.4G 12XW159   F51  C~3467      
2016 10  13.61226  05 31 39.870  +03 41 25.50  22.3G 12XW159   F51  C~3467      
2016 10  13.61573  05 31 39.854  +03 41 25.33  22.2G 12XW159   F51  C~3467      
2016 10  13.62438  05 31 39.845  +03 41 25.03  22.2G 12XW159   F51  C~3467      
2016 10  13.62788  05 31 39.834  +03 41 24.99  21.9G 12XW159   F51  C~3467      
2016 11  28.53601  05 28 17.746  +03 23 24.40  22.1G 12XW159   F51  C~3467      
2016 12  22.36694  05 25 47.704  +03 21 51.11  22.3G 12XW159   F51  C~3467      
2016 12  22.37983  05 25 47.620  +03 21 51.16  22.4G 12XW159   F51  C~3467      
2016 12  22.39270  05 25 47.535  +03 21 51.20  22.3G 12XW159   F51  C~3467      
2016 12  22.40566  05 25 47.458  +03 21 51.27  22.0G 12XW159   F51  C~3467      
2017 01  03.35509  05 24 34.614  +03 23 33.39  21.9G 12XW159   F51  C~3467      
2017 01  03.36783  05 24 34.540  +03 23 33.89  21.2G 12XW159   F51  C~3467      
2017 01  03.38062  05 24 34.462  +03 23 33.88  21.6G 12XW159   F51  C~3467      
2017 01  03.39345  05 24 34.395  +03 23 33.99  21.7G 12XW159   F51  C~3467      
2017 01  20.39625  05 23 04.456  +03 28 46.11  22.5G 12XW159   F51  C~3467      
2017 01  20.40806  05 23 04.396  +03 28 46.45  22.5G 12XW159   F51  C~3467      
2017 01  20.41985  05 23 04.340  +03 28 46.68  22.4G 12XW159   F51  C~3467      
2017 01  20.43163  05 23 04.294  +03 28 46.97  22.3G 12XW159   F51  C~3467      
2017 12  25.41960  05 34 26.933  +03 50 39.28  21.8G 12XW159   F51  C~3467      
2017 12  25.43171  05 34 26.848  +03 50 39.14  22.1G 12XW159   F51  C~3467      
2017 12  25.44385  05 34 26.783  +03 50 39.47  21.9G 12XW159   F51  C~3467      
2017 12  25.45606  05 34 26.680  +03 50 39.40  21.5G 12XW159   F51  C~3467      

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     0.16       0.00     0.20
  2   0.7261      0.00    -0.23       0.00     0.00
  3   0.7889      0.00     0.03       0.00    -0.02
  4   0.9144      0.00     0.16       0.00    -0.10
  5   0.9144      0.00     0.04       0.00    -0.02
  6   0.9144      0.00    -0.12       0.00    -0.14
  7   1.9164      0.00     0.03       0.00    -0.24
  8   1.9221      0.00    -0.08       0.00    -0.22
  9   2.1270      0.00    -0.09       0.00     0.00
 10   2.8614      0.00    -0.03       0.00    -0.04
 11   2.8614      0.00     0.10       0.00    -0.05
 12   2.8614      0.00    -0.09       0.00     0.04
 13   2.8615      0.00     0.11       0.00    -0.14
 14   2.8885      0.00     0.13       0.00    -0.02
 15   2.8885      0.00    -0.08       0.00    -0.19
 16   2.8885      0.00     0.12       0.00     0.49
 17   3.0143      0.00     0.07       0.00    -0.02
 18   3.0143      0.00     0.09       0.00     0.02
 19   3.0144      0.00     0.00       0.00    -0.04
 20   3.0144      0.00     0.02       0.00     0.11
 21   3.0197      0.00    -0.10       0.00    -0.00
 22   3.0198      0.00    -0.07       0.00    -0.14
 23   3.0198      0.00    -0.18       0.00    -0.02
 24   3.0199      0.00     0.01       0.00     0.07
 25   3.0934      0.00    -0.45       0.00     0.23
 26   3.6911      0.00    -0.16       0.00    -0.08
 27   3.7430      0.00     0.10       0.00     0.03
 28   3.7430      0.00     0.13       0.00    -0.04
 29   3.7431      0.00     0.14       0.00    -0.03
 30   3.7431      0.00     0.05       0.00    -0.03
 31   3.7457      0.00     0.07       0.00     0.03
 32   3.7457      0.00    -0.25       0.00     0.06
 33   3.7594      0.00    -0.05       0.00     0.14
 34   3.7594      0.00    -0.06       0.00     0.25
 35   3.7595      0.00    -0.24       0.00    -0.01
 36   3.7595      0.00    -0.05       0.00    -0.11
 37   3.7950      0.00     0.04       0.00    -0.22
 38   3.8524      0.00     0.11       0.00     0.18
 39   3.8961      0.00    -0.15       0.00    -0.07
 40   3.8987      0.00     0.08       0.00    -0.06
 41   3.8988      0.00     0.23       0.00     0.05
 42   3.8988      0.00     0.08       0.00     0.08
 43   3.8988      0.00     0.04       0.00     0.18
 44   3.9014      0.00     0.04       0.00     0.07
 45   3.9015      0.00    -0.03       0.00     0.07
 46   3.9015      0.00    -0.03       0.00    -0.06
 47   3.9016      0.00    -0.25       0.00     0.05
 48   3.9371      0.00     0.31       0.00     0.07
 49   3.9728      0.00     0.01       0.00     0.03
 50   3.9753      0.00    -0.18       0.00     0.12
 51   4.0027      0.00    -0.15       0.00    -0.05
 52   4.0737      0.00     0.02       0.00     0.17
 53   4.0738      0.00     0.00       0.00     0.01
 54   4.0738      0.00    -0.02       0.00     0.02
 55   4.0738      0.00    -0.04       0.00    -0.02
 56   4.1283      0.00    -0.26       0.00    -0.06
 57   4.1283      0.00     0.16       0.00     0.07
 58   4.1283      0.00     0.47       0.00     0.37
 59   4.1284      0.00     0.20       0.00    -0.11
 60   4.1502      0.00    -0.07       0.00    -0.03
 61   4.1502      0.00    -0.07       0.00     0.04
 62   4.1502      0.00     0.01       0.00     0.02
 63   4.1503      0.00    -0.10       0.00    -0.10
 64   4.7589      0.00     0.10       0.00     0.02
 65   4.7589      0.00     0.16       0.00     0.01
 66   4.7589      0.00    -0.01       0.00    -0.11
 67   4.7590      0.00    -0.03       0.00     0.06
 68   4.7590      0.00    -0.15       0.00    -0.00
 69   4.7590      0.00     0.00       0.00    -0.03
 70   4.7590      0.00    -0.05       0.00     0.05
 71   4.8847      0.00     0.19       0.00     0.07
 72   4.9499      0.00     0.06       0.00    -0.04
 73   4.9500      0.00     0.04       0.00    -0.04
 74   4.9500      0.00    -0.00       0.00    -0.06
 75   4.9500      0.00     0.09       0.00    -0.04
 76   4.9828      0.00    -0.06       0.00    -0.19
 77   4.9828      0.00    -0.04       0.00     0.14
 78   4.9828      0.00    -0.06       0.00    -0.03
 79   4.9829      0.00     0.08       0.00    -0.08
 80   5.0294      0.00     0.08       0.00    -0.07
 81   5.0295      0.00     0.02       0.00    -0.01
 82   5.0295      0.00     0.02       0.00    -0.06
 83   5.0295      0.00     0.16       0.00    -0.05
 84   5.9576      0.00     0.01       0.00     0.04
 85   5.9576      0.00    -0.11       0.00    -0.17
 86   5.9577      0.00     0.08       0.00     0.08
 87   5.9577      0.00    -0.30       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.

12XW159    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.902    39.902    39.902
ecceobj         0.216     0.216     0.216
incobj         20.969    20.969    20.969
qmin           27.358    27.357    27.358
qmax           52.104    52.105    52.104
amean          39.454    39.454    39.454
amin           39.039    39.038    39.040
amax           39.959    39.959    39.959
emean           0.255     0.255     0.255
emin            0.194     0.194     0.194
emax            0.305     0.305     0.305
imean          17.439    17.439    17.439
imin           15.225    15.224    15.225
imax           19.831    19.831    19.831
excite_mean     0.395     0.395     0.395
fracstop        1.000     1.000     1.000
cjmean          2.873     2.873     2.873

libcent 0       180.9     180.8     181.0
libamp  0        58.3      58.4      58.2
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       264.6     264.6     264.6
kozaiamp         51.0      51.0      51.0