Orbit Fit and Astrometric record for 12BZ159

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: 12BZ159   
# Created Sat Feb 29 02:10:29 2020
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   96 observations of   96
# Arc:   7.20y
# First observation: 2011/01/30
#  Last observation: 2018/04/13
# Chi-squared of fit:    65.09 DOF:  186 RMS:  0.15
# Min/Max residuals:    -0.50    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.943222E-05  2.858392E-02  2.434510E-06  3.522194E-03  2.660205E-02 -9.824546E-04
# Covariance matrix:
  1.6523E-13 -8.1637E-14  1.2287E-14 -8.9696E-15 -1.8199E-14 -3.1539E-13
 -8.1637E-14  5.8107E-14 -9.8257E-15  7.1832E-15  2.8266E-14  2.5277E-13
  1.2287E-14 -9.8257E-15  7.9352E-14 -1.5431E-14 -4.3216E-15 -4.5440E-14
 -8.9696E-15  7.1832E-15 -1.5431E-14  4.1428E-15  3.2039E-15  3.3207E-14
 -1.8199E-14  2.8266E-14 -4.3216E-15  3.2039E-15  7.3213E-14  1.1357E-13
 -3.1539E-13  2.5277E-13 -4.5440E-14  3.3207E-14  1.1357E-13  1.1683E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.923180  159.035261    0.476528   -0.029054   -0.865234  2455591.957606
# Heliocentric elements and errors
Epoch:              2455592.5000  =  2011/01/31
Mean Anomaly:          344.68537 +/-     0.012
Argument of Peri:        5.63249 +/-     0.017
Long of Asc Node:      173.23905 +/-     0.000
Inclination:             7.26717 +/-     0.000
Eccentricity:         0.14601287 +/-    0.0000
Semi-Major Axis:     44.66117948 +/-    0.0020
Time of Perihelion: 2460230.1475 +/-       8.0
Perihelion:          38.14007226 +/-    0.0022
Aphelion:            51.18228669 +/-    0.0027
Period (y)              298.4719 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -35.71684850 +/-    0.0004
Ecliptic Y           14.19578660 +/-    0.0001
Ecliptic Z           -1.26146298 +/-    0.0000
Ecliptic XDOT        -0.00097064 +/-    0.0000
Ecliptic YDOT        -0.00277279 +/-    0.0000
Ecliptic ZDOT         0.00036570 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.45526159 +/-    0.0003
Geocenter to KBO     37.59114293 +/-    0.0004
# Hcoef:  6.62

The following table shows the complete astrometric record for 12BZ159. 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 (12BZ159) followed by the observatory code and reference code for the source of the astrometry.

2011 01  30.45684  10 39 37.258  +06 23 56.40  22.1G 12BZ159   F51  C~345m      
2011 02  05.47436  10 39 11.253  +06 26 36.54  22.2G 12BZ159   F51  C~345m      
2011 02  05.48879  10 39 11.197  +06 26 36.86  22.6G 12BZ159   F51  C~345m      
2012 01  19.46385  10 46 44.097  +05 53 59.59  22.3G 12BZ159   F51  C~345m      
2012 01  19.48668  10 46 44.023  +05 53 59.94  22.3G 12BZ159   F51  C~345m      
2012 01  19.50075  10 46 43.967  +05 54 00.31  22.3G 12BZ159   F51  C~345m      
2012 01  19.51482  10 46 43.919  +05 54 00.53  22.5G 12BZ159   F51  C~345m      
2012 02  13.45095  10 45 01.542  +06 04 38.98  22.6G 12BZ159   F51  C~345m      
2012 02  13.47560  10 45 01.414  +06 04 39.44  22.1G 12BZ159   F51  C~345m      
2012 02  13.48867  10 45 01.330  +06 04 39.82  22.7G 12BZ159   F51  C~345m      
2012 03  16.36014  10 42 28.095  +06 21 15.25  22.4G 12BZ159   F51  C~345m      
2012 03  19.33497  10 42 14.474  +06 22 46.45  22.3G 12BZ159   F51  C~345m      
2012 03  19.34893  10 42 14.394  +06 22 46.94  23.0G 12BZ159   F51  C~345m      
2012 03  19.36291  10 42 14.330  +06 22 47.60  22.4G 12BZ159   F51  C~345m      
2012 03  19.37686  10 42 14.262  +06 22 48.07  22.5G 12BZ159   F51  C~345m      
2012 04  12.29368  10 40 39.936  +06 33 43.91  21.5G 12BZ159   F51  C~345m      
2013 02  15.47243  10 51 15.047  +05 40 00.33  22.6G 12BZ159   F51  C~345m      
2013 02  15.48611  10 51 14.965  +05 40 01.21  22.8G 12BZ159   F51  C~345m      
2013 02  15.49980  10 51 14.922  +05 40 01.31  22.4G 12BZ159   F51  C~345m      
2013 02  15.51345  10 51 14.823  +05 40 01.90  22.9G 12BZ159   F51  C~345m      
2013 03  05.41265  10 49 48.507  +05 49 24.44  22.5G 12BZ159   F51  C~345m      
2013 03  05.42761  10 49 48.429  +05 49 24.90  22.2G 12BZ159   F51  C~345m      
2013 03  05.44255  10 49 48.350  +05 49 25.29  22.4G 12BZ159   F51  C~345m      
2013 03  05.45750  10 49 48.273  +05 49 25.87  22.3G 12BZ159   F51  C~345m      
2014 02  10.46949  10 58 06.020  +05 11 02.64  22.3G 12BZ159   F51  C~345m      
2014 02  23.36898  10 57 06.149  +05 17 33.61  22.3G 12BZ159   F51  C~345m      
2014 02  23.38023  10 57 06.087  +05 17 33.94  22.0G 12BZ159   F51  C~345m      
2014 02  26.49376  10 56 51.075  +05 19 12.67  22.5G 12BZ159   F51  C~345m      
2014 02  26.50531  10 56 51.006  +05 19 13.17  22.5G 12BZ159   F51  C~345m      
2014 03  06.38753  10 56 12.686  +05 23 26.83  22.1G 12BZ159   F51  C~345m      
2014 04  04.33610  10 54 01.495  +05 38 18.34  22.7G 12BZ159   F51  C~345m      
2015 01  21.55423  11 05 50.091  +04 35 56.70  22.7G 12BZ159   F51  C~345m      
2015 01  21.56576  11 05 50.060  +04 35 56.84  22.4G 12BZ159   F51  C~345m      
2015 01  21.57727  11 05 50.020  +04 35 57.08  22.0G 12BZ159   F51  C~345m      
2015 01  21.58886  11 05 49.995  +04 35 57.42  22.3G 12BZ159   F51  C~345m      
2015 01  29.51475  11 05 22.742  +04 38 55.33  23.6G 12BZ159   F51  C~345m      
2015 01  29.52616  11 05 22.657  +04 38 55.84  22.9G 12BZ159   F51  C~345m      
2015 01  29.54895  11 05 22.591  +04 38 56.34  22.5G 12BZ159   F51  C~345m      
2015 01  31.55149  11 05 15.035  +04 39 45.75  22.6G 12BZ159   F51  C~345m      
2015 02  16.44777  11 04 07.681  +04 47 08.43  22.2G 12BZ159   F51  C~345m      
2015 02  16.46069  11 04 07.647  +04 47 09.15  21.9G 12BZ159   F51  C~345m      
2015 02  16.47360  11 04 07.588  +04 47 09.28  22.0G 12BZ159   F51  C~345m      
2015 02  16.48650  11 04 07.532  +04 47 09.92  22.2G 12BZ159   F51  C~345m      
2015 04  22.27462  10 59 26.620  +05 19 12.89  21.5G 12BZ159   F51  C~345m      
2015 04  22.28714  10 59 26.587  +05 19 13.02  21.6G 12BZ159   F51  C~345m      
2015 04  22.29972  10 59 26.564  +05 19 13.11  21.7G 12BZ159   F51  C~345m      
2016 02  05.48774  11 11 23.456  +04 14 48.67  22.0G 12BZ159   F51  C~345m      
2016 02  05.48966  11 11 23.445  +04 14 48.72  22.3G 12BZ159   F51  C~345m      
2016 02  05.49952  11 11 23.399  +04 14 49.01  22.6G 12BZ159   F51  C~345m      
2016 02  05.50145  11 11 23.397  +04 14 49.02  22.2G 12BZ159   F51  C~345m      
2016 02  05.51135  11 11 23.351  +04 14 49.41  22.0G 12BZ159   F51  C~345m      
2016 02  05.51328  11 11 23.345  +04 14 49.27  22.6G 12BZ159   F51  C~345m      
2016 02  05.52324  11 11 23.307  +04 14 49.67  22.1G 12BZ159   F51  C~345m      
2016 02  05.52517  11 11 23.294  +04 14 49.60  22.2G 12BZ159   F51  C~345m      
2016 03  15.34964  11 08 23.857  +04 34 54.70  21.7G 12BZ159   F51  C~345m      
2016 04  05.29662  11 06 50.121  +04 45 40.51  22.1G 12BZ159   F51  C~345m      
2016 04  05.39899  11 06 49.667  +04 45 43.72  21.5G 12BZ159   F51  C~345m      
2017 01  02.57860  11 19 19.372  +03 37 26.69  22.4G 12BZ159   F51  C~345m      
2017 01  02.59037  11 19 19.350  +03 37 26.58  22.7G 12BZ159   F51  C~345m      
2017 01  02.60211  11 19 19.323  +03 37 26.36  22.6G 12BZ159   F51  C~345m      
2017 01  02.61390  11 19 19.350  +03 37 26.56  22.9G 12BZ159   F51  C~345m      
2017 01  28.53918  11 18 16.852  +03 44 36.11  22.6G 12BZ159   F51  C~345m      
2017 01  28.55102  11 18 16.814  +03 44 36.90  22.4G 12BZ159   F51  C~345n      
2017 01  28.56285  11 18 16.761  +03 44 36.93  22.7G 12BZ159   F51  C~345n      
2017 01  28.57463  11 18 16.726  +03 44 37.19  22.3G 12BZ159   F51  C~345n      
2017 01  28.58676  11 18 16.669  +03 44 37.49  20.8G 12BZ159   F51  C~345n      
2017 02  21.45832  11 16 38.558  +03 55 40.98  21.8G 12BZ159   F51  C~345n      
2017 03  18.29319  11 14 39.705  +04 09 09.01  23.1G 12BZ159   F51  C~345n      
2017 03  18.30487  11 14 39.642  +04 09 09.24  22.4G 12BZ159   F51  C~345n      
2017 03  18.31650  11 14 39.593  +04 09 09.68  21.9G 12BZ159   F51  C~345n      
2017 03  18.32822  11 14 39.527  +04 09 10.03  22.3G 12BZ159   F51  C~345n      
2017 03  28.44991  11 13 52.644  +04 14 32.53  22.3G 12BZ159   F51  C~345n      
2017 03  28.46175  11 13 52.594  +04 14 32.98  22.4G 12BZ159   F51  C~345n      
2017 03  28.47359  11 13 52.518  +04 14 33.24  21.9G 12BZ159   F51  C~345n      
2017 03  28.48549  11 13 52.467  +04 14 33.58  22.0G 12BZ159   F51  C~345n      
2017 04  22.26844  11 12 16.732  +04 25 49.74  22.0G 12BZ159   F51  C~345n      
2017 04  22.28133  11 12 16.681  +04 25 50.05  21.8G 12BZ159   F51  C~345n      
2017 04  22.29320  11 12 16.663  +04 25 50.33  21.8G 12BZ159   F51  C~345n      
2017 04  22.30506  11 12 16.628  +04 25 50.19  22.4G 12BZ159   F51  C~345n      
2017 12  29.60508  11 25 45.225  +03 09 48.46  22.5G 12BZ159   F51  C~345n      
2017 12  29.61707  11 25 45.213  +03 09 48.74  22.2G 12BZ159   F51  C~345n      
2017 12  29.62908  11 25 45.210  +03 09 48.70  22.4G 12BZ159   F51  C~345n      
2017 12  29.64106  11 25 45.202  +03 09 48.82  22.1G 12BZ159   F51  C~345n      
2018 03  10.39642  11 21 47.515  +03 37 13.63  22.0G 12BZ159   F51  C~345n      
2018 03  18.35595  11 21 09.147  +03 41 36.50  21.8G 12BZ159   F51  C~345n      
2018 03  18.36825  11 21 09.098  +03 41 36.97  22.4G 12BZ159   F51  C~345n      
2018 03  18.38046  11 21 09.033  +03 41 37.43  22.2G 12BZ159   F51  C~345n      
2018 03  18.39266  11 21 08.969  +03 41 37.83  21.9G 12BZ159   F51  C~345n      
2018 04  13.30211  11 19 15.247  +03 54 48.23  22.3G 12BZ159   F51  C~345n      
2018 04  13.30404  11 19 15.214  +03 54 48.36  22.1G 12BZ159   F51  C~345n      
2018 04  13.31351  11 19 15.197  +03 54 48.42  22.7G 12BZ159   F51  C~345n      
2018 04  13.31544  11 19 15.195  +03 54 48.35  21.5G 12BZ159   F51  C~345n      
2018 04  13.32487  11 19 15.160  +03 54 48.69  22.5G 12BZ159   F51  C~345n      
2018 04  13.32683  11 19 15.139  +03 54 49.19  22.4G 12BZ159   F51  C~345n      
2018 04  13.33629  11 19 15.114  +03 54 49.29  22.6G 12BZ159   F51  C~345n      
2018 04  13.33824  11 19 15.106  +03 54 49.11  22.1G 12BZ159   F51  C~345n      

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    -0.50       0.00     0.12
  2   0.0165      0.00    -0.09       0.00     0.31
  3   0.0165      0.00     0.05       0.00     0.24
  4   0.9692      0.00    -0.03       0.00     0.10
  5   0.9693      0.00     0.04       0.00    -0.02
  6   0.9693      0.00    -0.07       0.00     0.06
  7   0.9694      0.00    -0.05       0.00    -0.01
  8   1.0376      0.00     0.29       0.00     0.15
  9   1.0377      0.00     0.13       0.00    -0.12
 10   1.0377      0.00    -0.20       0.00    -0.12
 11   1.1250      0.00    -0.03       0.00     0.01
 12   1.1331      0.00     0.27       0.00    -0.21
 13   1.1332      0.00     0.04       0.00    -0.15
 14   1.1332      0.00     0.05       0.00     0.09
 15   1.1333      0.00     0.00       0.00     0.13
 16   1.1987      0.00     0.28       0.00    -0.08
 17   2.0452      0.00     0.20       0.00    -0.31
 18   2.0453      0.00    -0.05       0.00     0.16
 19   2.0453      0.00     0.28       0.00    -0.15
 20   2.0453      0.00    -0.22       0.00     0.02
 21   2.0943      0.00     0.12       0.00     0.04
 22   2.0944      0.00     0.06       0.00     0.02
 23   2.0944      0.00    -0.01       0.00    -0.07
 24   2.0945      0.00    -0.06       0.00     0.03
 25   3.0308      0.00    -0.02       0.00     0.07
 26   3.0662      0.00    -0.01       0.00     0.00
 27   3.0662      0.00    -0.12       0.00    -0.02
 28   3.0747      0.00     0.13       0.00    -0.11
 29   3.0747      0.00    -0.05       0.00     0.02
 30   3.0963      0.00     0.03       0.00    -0.05
 31   3.1756      0.00    -0.19       0.00    -0.22
 32   3.9756      0.00    -0.16       0.00     0.00
 33   3.9757      0.00    -0.06       0.00    -0.09
 34   3.9757      0.00    -0.10       0.00    -0.09
 35   3.9757      0.00     0.09       0.00     0.01
 36   3.9974      0.00     0.34       0.00    -0.21
 37   3.9975      0.00    -0.28       0.00     0.03
 38   3.9975      0.00     0.02       0.00    -0.03
 39   4.0030      0.00    -0.09       0.00    -0.01
 40   4.0465      0.00    -0.23       0.00    -0.09
 41   4.0466      0.00     0.16       0.00     0.24
 42   4.0466      0.00     0.18       0.00    -0.02
 43   4.0466      0.00     0.25       0.00     0.23
 44   4.2240      0.00    -0.24       0.00    -0.00
 45   4.2240      0.00    -0.17       0.00    -0.14
 46   4.2241      0.00     0.05       0.00    -0.32
 47   5.0158      0.00     0.06       0.00     0.05
 48   5.0158      0.00     0.01       0.00     0.04
 49   5.0159      0.00    -0.07       0.00     0.07
 50   5.0159      0.00     0.01       0.00     0.03
 51   5.0159      0.00    -0.07       0.00     0.16
 52   5.0159      0.00    -0.04       0.00    -0.03
 53   5.0159      0.00     0.00       0.00     0.10
 54   5.0159      0.00    -0.07       0.00    -0.02
 55   5.1222      0.00     0.11       0.00    -0.01
 56   5.1796      0.00     0.16       0.00    -0.21
 57   5.1799      0.00    -0.30       0.00     0.10
 58   5.9250      0.00     0.04       0.00     0.24
 59   5.9251      0.00    -0.05       0.00     0.02
 60   5.9251      0.00    -0.22       0.00    -0.30
 61   5.9251      0.00     0.43       0.00    -0.21
 62   5.9961      0.00    -0.01       0.00    -0.25
 63   5.9962      0.00     0.05       0.00     0.26
 64   5.9962      0.00    -0.12       0.00     0.02
 65   5.9962      0.00    -0.02       0.00     0.00
 66   5.9962      0.00    -0.23       0.00     0.02
 67   6.0616      0.00     0.09       0.00     0.05
 68   6.1296      0.00     0.05       0.00     0.12
 69   6.1296      0.00    -0.05       0.00    -0.03
 70   6.1297      0.00     0.06       0.00     0.03
 71   6.1297      0.00    -0.08       0.00     0.00
 72   6.1574      0.00     0.09       0.00    -0.06
 73   6.1574      0.00     0.15       0.00     0.02
 74   6.1575      0.00    -0.18       0.00    -0.09
 75   6.1575      0.00    -0.13       0.00    -0.11
 76   6.2254      0.00    -0.21       0.00     0.11
 77   6.2254      0.00    -0.36       0.00     0.13
 78   6.2254      0.00    -0.06       0.00     0.14
 79   6.2255      0.00    -0.02       0.00    -0.27
 80   6.9135      0.00     0.00       0.00    -0.09
 81   6.9135      0.00    -0.04       0.00     0.12
 82   6.9135      0.00     0.06       0.00     0.01
 83   6.9136      0.00     0.08       0.00     0.07
 84   7.1073      0.00     0.12       0.00     0.08
 85   7.1291      0.00    -0.05       0.00    -0.13
 86   7.1291      0.00     0.11       0.00    -0.06
 87   7.1292      0.00     0.03       0.00    -0.01
 88   7.1292      0.00    -0.04       0.00    -0.01
 89   7.2001      0.00     0.11       0.00     0.09
 90   7.2001      0.00    -0.27       0.00     0.17
 91   7.2002      0.00     0.03       0.00    -0.03
 92   7.2002      0.00     0.11       0.00    -0.15
 93   7.2002      0.00     0.14       0.00    -0.07
 94   7.2002      0.00    -0.06       0.00     0.38
 95   7.2002      0.00     0.12       0.00     0.23
 96   7.2002      0.00     0.11       0.00    -0.01

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.

12BZ159    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.756    44.756    44.756
ecceobj         0.147     0.147     0.147
incobj          7.268     7.268     7.268
qmin           37.508    37.506    37.520
qmax           52.471    52.502    52.459
amean          44.854    44.855    44.853
amin           44.479    44.474    44.465
amax           45.280    45.291    45.275
emean           0.145     0.145     0.145
emin            0.130     0.130     0.131
emax            0.160     0.160     0.160
imean           7.096     7.098     7.102
imin            6.394     6.401     6.402
imax            7.956     7.960     7.953
excite_mean     0.190     0.191     0.191
fracstop        1.000     1.000     1.000
cjmean          3.068     3.068     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       179.0     180.0     178.3
kozaiamp        180.0     180.0     180.0