Orbit Fit and Astrometric record for 13MZ11

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: 13MZ11    
# Created Mon Oct 23 01:38:18 2017
# Orbit generated from Bernstein formalism
# Fitting  101 observations of  101
# Arc:   2.77y
# First observation: 2012/11/02
#  Last observation: 2015/08/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.003721   0.064769   0.000023   0.001378   0.047048   0.000000
# Chi-squared of fit:    33.83 DOF:  196 RMS:  0.10
# Min/Max residuals:    -0.36    0.32
# Exact a, adot, b, bdot, g, gdot:
  2.002436E-05  5.647226E-02  1.284954E-06  1.337063E-03  4.399822E-02 -2.049516E-02
# Covariance matrix:
  2.8141E-13 -2.3398E-13 -6.3800E-15 -3.7567E-16 -9.4701E-14 -8.2171E-13
 -2.3398E-13  2.9659E-13  1.6611E-15 -7.7469E-16  4.9702E-14  1.1568E-12
 -6.3800E-15  1.6611E-15  1.0294E-13 -5.4441E-14  5.9373E-15  1.0456E-14
 -3.7567E-16 -7.7469E-16 -5.4441E-14  3.2954E-14  8.2143E-16 -2.8541E-15
 -9.4701E-14  4.9702E-14  5.9373E-15  8.2143E-16  7.4586E-14  2.5481E-13
 -8.2171E-13  1.1568E-12  1.0456E-14 -2.8541E-15  2.5481E-13  5.0964E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.135489  -58.108760   -0.979577    0.014883    0.138162  2456233.716958
# Heliocentric elements and errors
Epoch:              2456230.5000  =  2012/10/30
Mean Anomaly:          299.78273 +/-     0.004
Argument of Peri:       19.93865 +/-     0.004
Long of Asc Node:       19.93265 +/-     0.002
Inclination:             6.36778 +/-     0.000
Eccentricity:         0.30814767 +/-    0.0000
Semi-Major Axis:     24.23659516 +/-    0.0009
Time of Perihelion: 2463520.4470 +/-       0.3
Perihelion:          16.76814490 +/-    0.0011
Aphelion:            31.70504542 +/-    0.0015
Period (y)              119.3207 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.69905448 +/-    0.0001
Ecliptic Y          -18.54879266 +/-    0.0001
Ecliptic Z           -2.42915538 +/-    0.0000
Ecliptic XDOT         0.00231238 +/-    0.0000
Ecliptic YDOT         0.00292755 +/-    0.0000
Ecliptic ZDOT         0.00021916 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   22.61027398 +/-    0.0001
Geocenter to KBO     22.72819454 +/-    0.0001
# Hcoef:  8.08

The following table shows the complete astrometric record for 13MZ11. 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 (13MZ11) followed by the observatory code and reference code for the source of the astrometry.

2012 11  02.21618  20 22 39.039  -25 42 45.89  21.7w 13MZ11    F51  C~1vX0      
2012 11  02.22235  20 22 39.058  -25 42 45.53  22.0w 13MZ11    F51  C~1vX0      
2012 11  02.22850  20 22 39.080  -25 42 45.30  21.6w 13MZ11    F51  C~1vX0      
2012 11  02.23472  20 22 39.101  -25 42 45.29  21.7w 13MZ11    F51  C~1vX0      
2013 06  30.48344  20 48 21.522  -24 25 50.06  21.4r 13MZ11    F51  C~1vX0      
2013 06  30.49313  20 48 21.448  -24 25 50.08  21.4r 13MZ11    F51  C~1vX0      
2013 06  30.50448  20 48 21.355  -24 25 50.70  21.2i 13MZ11    F51  C~1vX0      
2013 06  30.51550  20 48 21.270  -24 25 51.00  21.2i 13MZ11    F51  C~1vX0      
2013 07  13.46229  20 46 37.521  -24 33 42.57  21.4w 13MZ11    F51  C~1vX0      
2013 07  13.47617  20 46 37.398  -24 33 42.90  21.5w 13MZ11    F51  C~1vX0      
2013 07  13.49574  20 46 37.223  -24 33 43.62  21.2w 13MZ11    F51  C~1vX0      
2013 08  02.40074  20 43 38.602  -24 45 08.37  21.3w 13MZ11    F51  C~1vX0      
2013 08  02.40296  20 43 38.585  -24 45 08.51  21.3w 13MZ11    F51  C~1vX0      
2013 08  02.41438  20 43 38.475  -24 45 08.87  21.1w 13MZ11    F51  C~1vX0      
2013 08  02.41661  20 43 38.460  -24 45 08.89  21.3w 13MZ11    F51  C~1vX0      
2013 08  02.42803  20 43 38.343  -24 45 09.26  21.1w 13MZ11    F51  C~1vX0      
2013 08  02.43026  20 43 38.333  -24 45 09.37  21.3w 13MZ11    F51  C~1vX0      
2013 08  02.44169  20 43 38.220  -24 45 09.73  21.1w 13MZ11    F51  C~1vX0      
2013 08  02.44394  20 43 38.202  -24 45 09.73  21.3w 13MZ11    F51  C~1vX0      
2014 05  25.53732  21 05 57.593  -22 59 49.56  21.6w 13MZ11    F51  C~1vX0      
2014 05  25.54794  21 05 57.563  -22 59 49.63  21.4w 13MZ11    F51  C~1vX0      
2014 05  25.55856  21 05 57.569  -22 59 50.00  21.4w 13MZ11    F51  C~1vX0      
2014 05  25.56922  21 05 57.534  -22 59 50.17  21.7w 13MZ11    F51  C~1vX0      
2014 06  20.48993  21 04 25.333  -23 12 05.10  21.1i 13MZ11    F51  C~1vX0      
2014 06  20.51746  21 04 25.186  -23 12 06.02  21.0i 13MZ11    F51  C~1vX0      
2014 06  20.52942  21 04 25.139  -23 12 06.33  21.1i 13MZ11    F51  C~1vX0      
2014 06  26.50076  21 03 49.020  -23 15 39.05  21.6w 13MZ11    F51  C~1vX0      
2014 06  26.51294  21 03 48.954  -23 15 39.25  21.5w 13MZ11    F51  C~1vX0      
2014 06  26.52513  21 03 48.842  -23 15 40.07  21.5w 13MZ11    F51  C~1vX0      
2014 06  26.53734  21 03 48.776  -23 15 40.22  21.6w 13MZ11    F51  C~1vX0      
2014 06  28.43669  21 03 36.305  -23 16 50.09  21.6w 13MZ11    F51  C~1vX0      
2014 06  28.44862  21 03 36.228  -23 16 50.50  21.5w 13MZ11    F51  C~1vX0      
2014 06  28.46050  21 03 36.130  -23 16 50.91  21.4w 13MZ11    F51  C~1vX0      
2014 06  28.47241  21 03 36.042  -23 16 51.31  21.4w 13MZ11    F51  C~1vX0      
2014 07  03.55146  21 03 00.425  -23 20 02.18  21.3w 13MZ11    F51  C~1vX0      
2014 07  03.56271  21 03 00.346  -23 20 02.66  21.3w 13MZ11    F51  C~1vX0      
2014 07  03.57392  21 03 00.261  -23 20 03.05  21.3w 13MZ11    F51  C~1vX0      
2014 07  03.58512  21 03 00.183  -23 20 03.58  21.4w 13MZ11    F51  C~1vX0      
2014 07  08.45487  21 02 23.360  -23 23 10.40  20.9i 13MZ11    F51  C~1vX0      
2014 07  08.46686  21 02 23.266  -23 23 10.50  20.9i 13MZ11    F51  C~1vX0      
2014 07  08.47882  21 02 23.176  -23 23 10.83  20.7i 13MZ11    F51  C~1vX0      
2014 07  25.43524  20 59 59.430  -23 34 04.86  21.3w 13MZ11    F51  C~1vX0      
2014 07  25.44720  20 59 59.325  -23 34 05.38  21.4w 13MZ11    F51  C~1vX0      
2014 07  25.45922  20 59 59.217  -23 34 05.74  21.3w 13MZ11    F51  C~1vX0      
2014 07  25.47120  20 59 59.102  -23 34 06.21  21.3w 13MZ11    F51  C~1vX0      
2014 07  27.43149  20 59 41.429  -23 35 19.61  21.2w 13MZ11    F51  C~1vX0      
2014 07  27.44341  20 59 41.308  -23 35 20.12  21.2w 13MZ11    F51  C~1vX0      
2014 07  27.45531  20 59 41.201  -23 35 20.58  21.3w 13MZ11    F51  C~1vX0      
2014 07  27.46721  20 59 41.095  -23 35 20.99  21.4w 13MZ11    F51  C~1vX0      
2014 07  28.44347  20 59 32.239  -23 35 57.15  21.2w 13MZ11    F51  C~1vX0      
2014 07  28.45534  20 59 32.128  -23 35 57.66  21.4w 13MZ11    F51  C~1vX0      
2014 07  28.46720  20 59 32.016  -23 35 58.03  21.3w 13MZ11    F51  C~1vX0      
2014 07  28.47908  20 59 31.907  -23 35 58.51  21.3w 13MZ11    F51  C~1vX0      
2014 07  30.39037  20 59 14.503  -23 37 08.84  21.2w 13MZ11    F51  C~1vX0      
2014 07  30.40227  20 59 14.389  -23 37 09.21  21.1w 13MZ11    F51  C~1vX0      
2014 07  30.41418  20 59 14.277  -23 37 09.62  21.2w 13MZ11    F51  C~1vX0      
2014 07  30.42611  20 59 14.170  -23 37 10.13  21.2w 13MZ11    F51  C~1vX0      
2014 07  31.38127  20 59 05.437  -23 37 45.02  21.2w 13MZ11    F51  C~1vX0      
2014 07  31.39367  20 59 05.310  -23 37 45.43  21.2w 13MZ11    F51  C~1vX0      
2014 07  31.40605  20 59 05.204  -23 37 45.86  21.1w 13MZ11    F51  C~1vX0      
2014 08  01.49362  20 58 55.218  -23 38 24.97  21.2w 13MZ11    F51  C~1vX0      
2014 08  01.50551  20 58 55.103  -23 38 25.49  21.3w 13MZ11    F51  C~1vX0      
2014 08  01.51740  20 58 54.998  -23 38 25.80  21.1w 13MZ11    F51  C~1vX0      
2014 08  04.42423  20 58 28.306  -23 40 08.98  21.3w 13MZ11    F51  C~1vX0      
2014 08  04.43640  20 58 28.187  -23 40 09.45  21.4w 13MZ11    F51  C~1vX0      
2014 08  04.46079  20 58 27.968  -23 40 10.28  21.2w 13MZ11    F51  C~1vX0      
2014 08  14.39739  20 56 57.054  -23 45 37.63  20.9i 13MZ11    F51  C~1vX0      
2014 08  14.40929  20 56 56.967  -23 45 38.02  21.0i 13MZ11    F51  C~1vX0      
2014 08  14.42114  20 56 56.849  -23 45 38.47  20.8i 13MZ11    F51  C~1vX0      
2014 08  14.43302  20 56 56.745  -23 45 38.58  20.9i 13MZ11    F51  C~1vX0      
2014 08  15.39993  20 56 48.024  -23 46 08.20  20.7i 13MZ11    F51  C~1vX0      
2014 08  15.41183  20 56 47.902  -23 46 08.58  20.9i 13MZ11    F51  C~1vX0      
2014 08  15.42373  20 56 47.800  -23 46 08.93  20.8i 13MZ11    F51  C~1vX0      
2014 08  15.43562  20 56 47.683  -23 46 09.38  20.9i 13MZ11    F51  C~1vX0      
2014 08  22.38689  20 55 46.184  -23 49 26.83  21.4w 13MZ11    F51  C~1vX0      
2014 08  22.39837  20 55 46.077  -23 49 27.17  21.4w 13MZ11    F51  C~1vX0      
2014 08  22.40983  20 55 45.978  -23 49 27.57  21.4w 13MZ11    F51  C~1vX0      
2014 08  22.42128  20 55 45.880  -23 49 27.81  21.4w 13MZ11    F51  C~1vX0      
2014 08  27.34642  20 55 04.083  -23 51 30.92  21.5w 13MZ11    F51  C~1vX0      
2014 08  27.35781  20 55 03.979  -23 51 31.14  21.4w 13MZ11    F51  C~1vX0      
2014 08  27.36924  20 55 03.891  -23 51 31.37  21.4w 13MZ11    F51  C~1vX0      
2014 08  27.38061  20 55 03.789  -23 51 31.68  21.3w 13MZ11    F51  C~1vX0      
2014 09  12.29035  20 53 04.227  -23 56 17.62  20.9i 13MZ11    F51  C~1vX0      
2014 09  12.30227  20 53 04.155  -23 56 17.50  20.7i 13MZ11    F51  C~1vX0      
2014 09  12.31420  20 53 04.069  -23 56 17.56  21.1i 13MZ11    F51  C~1vX0      
2014 09  12.32615  20 53 03.982  -23 56 17.85  20.8i 13MZ11    F51  C~1vX0      
2014 09  18.25751  20 52 27.226  -23 57 16.62  21.5w 13MZ11    F51  C~1vX0      
2014 09  18.26945  20 52 27.157  -23 57 16.65  21.6w 13MZ11    F51  C~1vX0      
2014 09  18.28138  20 52 27.090  -23 57 16.77  21.5w 13MZ11    F51  C~1vX0      
2015 06  30.54110  21 18 40.194  -22 02 20.41  21.1i 13MZ11    F51  C~1vX0      
2015 06  30.55247  21 18 40.107  -22 02 20.66  20.9i 13MZ11    F51  C~1vX0      
2015 06  30.56389  21 18 40.037  -22 02 21.14  20.7i 13MZ11    F51  C~1vX0      
2015 06  30.57526  21 18 39.948  -22 02 21.63  20.8i 13MZ11    F51  C~1vX0      
2015 07  25.41520  21 15 26.778  -22 19 04.40  21.5r 13MZ11    F51  C~1vX0      
2015 07  25.42618  21 15 26.681  -22 19 04.67  21.1r 13MZ11    F51  C~1vX0      
2015 07  25.43719  21 15 26.576  -22 19 05.04  21.3r 13MZ11    F51  C~1vX0      
2015 07  25.44880  21 15 26.473  -22 19 05.62  21.1r 13MZ11    F51  C~1vX0      
2015 08  10.41850  21 13 01.398  -22 29 31.62  21.2w 13MZ11    F51  C~1vX0      
2015 08  10.42941  21 13 01.289  -22 29 32.05  21.1w 13MZ11    F51  C~1vX0      
2015 08  10.44052  21 13 01.196  -22 29 32.44  21.1w 13MZ11    F51  C~1vX0      
2015 08  10.45155  21 13 01.086  -22 29 32.84  21.3w 13MZ11    F51  C~1vX0      

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     0.06       0.00    -0.17
  2   0.0000      0.33     0.05       0.29     0.01
  3   0.0000      0.68     0.06       0.44     0.05
  4   0.0001      0.95     0.00       0.39    -0.12
  5   0.6578  21515.04     0.02    -917.91    -0.22
  6   0.6578  21514.06     0.11    -917.64     0.11
  7   0.6579  21512.65    -0.04    -917.88    -0.07
  8   0.6579  21511.44    -0.04    -917.85     0.03
  9   0.6934  20004.91     0.02    -977.51    -0.17
 10   0.6934  20003.19     0.05    -977.36     0.00
 11   0.6934  20000.68    -0.01    -977.39     0.01
 12   0.7479  17450.32    -0.10    -969.09     0.07
 13   0.7479  17450.06    -0.07    -969.16    -0.01
 14   0.7480  17448.51    -0.11    -969.10     0.00
 15   0.7480  17448.31    -0.02    -969.07     0.03
 16   0.7480  17446.66    -0.15    -968.99     0.06
 17   0.7480  17446.50    -0.02    -969.06    -0.02
 18   0.7481  17444.91    -0.10    -968.99     0.00
 19   0.7481  17444.67    -0.04    -968.92     0.06
 20   1.5587  37212.13     0.00    -246.06     0.07
 21   1.5587  37211.71    -0.15    -246.00     0.29
 22   1.5588  37211.67     0.10    -246.38     0.05
 23   1.5588  37211.14    -0.14    -246.40     0.19
 24   1.6298  35729.87    -0.36    -559.44     0.14
 25   1.6298  35727.59    -0.18    -559.70     0.13
 26   1.6299  35726.86     0.16    -559.79     0.14
 27   1.6462  35171.90    -0.02    -610.81    -0.11
 28   1.6463  35170.95     0.26    -610.72     0.06
 29   1.6463  35169.18    -0.28    -611.03    -0.16
 30   1.6463  35168.24     0.01    -610.90     0.06
 31   1.6515  34977.93     0.14    -625.19    -0.08
 32   1.6516  34976.76     0.22    -625.26    -0.06
 33   1.6516  34975.31     0.01    -625.24     0.04
 34   1.6516  34973.99    -0.06    -625.25     0.12
 35   1.6655  34433.66     0.04    -658.09    -0.05
 36   1.6656  34432.44     0.09    -658.22    -0.12
 37   1.6656  34431.17     0.09    -658.24    -0.08
 38   1.6656  34429.95     0.13    -658.42    -0.21
 39   1.6790  33875.31     0.07    -682.83    -0.24
 40   1.6790  33874.01     0.21    -682.53     0.11
 41   1.6790  33872.70     0.32    -682.47     0.21
 42   1.7254  31737.16    -0.14    -711.09    -0.05
 43   1.7255  31735.59    -0.10    -711.15    -0.13
 44   1.7255  31734.03    -0.04    -711.05    -0.05
 45   1.7255  31732.34    -0.12    -711.02    -0.05
 46   1.7309  31472.58     0.06    -708.43    -0.00
 47   1.7309  31470.80    -0.10    -708.42    -0.02
 48   1.7310  31469.23    -0.07    -708.42    -0.04
 49   1.7310  31467.68    -0.01    -708.38    -0.03
 50   1.7337  31337.75     0.03    -706.54     0.08
 51   1.7337  31336.11    -0.00    -706.57     0.02
 52   1.7337  31334.49    -0.01    -706.46     0.09
 53   1.7338  31332.88    -0.01    -706.47     0.05
 54   1.7390  31077.88     0.05    -702.26    -0.00
 55   1.7390  31076.23     0.03    -702.14     0.08
 56   1.7391  31074.61     0.02    -702.07     0.11
 57   1.7391  31073.01     0.05    -702.12     0.02
 58   1.7417  30945.23    -0.01    -699.67    -0.11
 59   1.7418  30943.40    -0.15    -699.54    -0.02
 60   1.7418  30941.84    -0.02    -699.52    -0.04
 61   1.7448  30796.00     0.02    -696.01     0.09
 62   1.7448  30794.30    -0.06    -696.03     0.01
 63   1.7448  30792.80     0.06    -695.90     0.09
 64   1.7528  30403.57     0.06    -685.42    -0.08
 65   1.7528  30401.83    -0.02    -685.39    -0.10
 66   1.7529  30398.65     0.12    -685.28    -0.12
 67   1.7801  29082.26    -0.14    -628.84     0.07
 68   1.7801  29080.98     0.16    -628.86    -0.05
 69   1.7802  29079.26     0.02    -628.81    -0.10
 70   1.7802  29077.84     0.17    -628.50     0.13
 71   1.7828  28952.26     0.12    -621.56     0.02
 72   1.7829  28950.51    -0.06    -621.43     0.06
 73   1.7829  28949.04     0.04    -621.36     0.03
 74   1.7829  28947.34    -0.09    -621.31    -0.02
 75   1.8020  28065.91     0.01    -562.41     0.12
 76   1.8020  28064.38    -0.07    -562.31     0.10
 77   1.8020  28062.94    -0.07    -562.29    -0.00
 78   1.8021  28061.56    -0.01    -562.13     0.05
 79   1.8156  27466.50    -0.00    -512.40    -0.05
 80   1.8156  27465.05    -0.09    -512.20     0.03
 81   1.8156  27463.80     0.05    -512.06     0.03
 82   1.8156  27462.35    -0.04    -511.95     0.01
 83   1.8592  25782.41    -0.06    -310.25    -0.18
 84   1.8592  25781.49     0.13    -309.85     0.05
 85   1.8593  25780.32     0.09    -309.56     0.15
 86   1.8593  25779.08    -0.03    -309.50     0.03
 87   1.8755  25271.83    -0.03    -220.69    -0.01
 88   1.8756  25270.90     0.02    -220.44     0.05
 89   1.8756  25269.97     0.06    -220.30     0.01
 90   2.6566  48812.70     0.11    -347.19    -0.22
 91   2.6566  48811.41     0.01    -347.03     0.02
 92   2.6567  48810.27     0.07    -347.16    -0.05
 93   2.6567  48808.87    -0.14    -347.22    -0.04
 94   2.7247  45794.76    -0.01    -421.44    -0.28
 95   2.7247  45793.33     0.07    -421.25    -0.11
 96   2.7248  45791.76     0.01    -421.13     0.00
 97   2.7248  45790.14    -0.01    -421.22    -0.11
 98   2.7685  43584.96    -0.06    -365.01     0.09
 99   2.7686  43583.32    -0.16    -364.93     0.10
100   2.7686  43581.91     0.01    -364.89     0.06
101   2.7686  43580.27    -0.08    -364.78     0.10

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.

13MZ11    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        24.214    24.216    24.212
ecceobj         0.309     0.309     0.309
incobj          6.375     6.375     6.375
qmin           16.724    16.725    16.723
qmax           32.037    33.392    32.038
amean          24.416    24.947    24.418
amin           24.214    24.216    24.212
amax           24.579    25.444    24.605
emean           0.307     0.307     0.307
emin            0.300     0.291     0.300
emax            0.313     0.321     0.313
imean           6.322     5.499     6.317
imin            6.161     4.974     6.147
imax            6.502     6.502     6.502
excite_mean     0.326     0.322     0.326
fracstop        0.000     0.002     0.000
cjmean          2.934     2.930     2.934

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        23.7      42.0      24.0
kozaiamp          3.5      21.3       3.8