Orbit Fit and Astrometric record for 16GR206

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: 16GR206   
# Created Fri Oct 20 01:38:45 2017
# Orbit generated from Bernstein formalism
# Fitting   39 observations of   41
# Arc:   4.22y
# First observation: 2012/01/22
#  Last observation: 2016/04/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.000684   0.084076  -0.000812   0.009068   0.046967   0.000000
# Chi-squared of fit:    45.62 DOF:   72 RMS:  0.19
# Min/Max residuals:    -0.36    0.52
# Exact a, adot, b, bdot, g, gdot:
  2.367441E-05  8.428743E-02  4.156382E-06  8.615302E-03  5.602308E-02  1.992506E-03
# Covariance matrix:
  3.6302E-13 -2.6630E-13  1.9786E-14 -2.4082E-14 -5.2671E-14 -5.5638E-13
 -2.6630E-13  3.6387E-13 -3.8201E-14  4.4069E-14  1.6172E-14  1.0204E-12
  1.9786E-14 -3.8201E-14  2.4074E-13 -7.0491E-14  1.0723E-14 -1.2617E-13
 -2.4082E-14  4.4069E-14 -7.0491E-14  2.7211E-14 -6.4264E-15  1.3966E-13
 -5.2671E-14  1.6172E-14  1.0723E-14 -6.4264E-15  2.0504E-13 -1.5451E-13
 -5.5638E-13  1.0204E-12 -1.2617E-13  1.3966E-13 -1.5451E-13  3.2393E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.374957  158.916918    0.593557    0.181766   -0.764344  2455948.956256
# Heliocentric elements and errors
Epoch:              2455940.5000  =  2012/01/14
Mean Anomaly:          354.59202 +/-     0.015
Argument of Peri:       70.65170 +/-     0.018
Long of Asc Node:       93.32877 +/-     0.000
Inclination:            14.23173 +/-     0.000
Eccentricity:         0.07859816 +/-    0.0000
Semi-Major Axis:     20.20197860 +/-    0.0008
Time of Perihelion: 2456438.7207 +/-       1.4
Perihelion:          18.61414016 +/-    0.0009
Aphelion:            21.78981704 +/-    0.0010
Period (y)               90.8028 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -16.71972802 +/-    0.0001
Ecliptic Y            7.08426460 +/-    0.0000
Ecliptic Z            4.12910922 +/-    0.0000
Ecliptic XDOT        -0.00148371 +/-    0.0000
Ecliptic YDOT        -0.00383989 +/-    0.0000
Ecliptic ZDOT         0.00043223 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   18.62218175 +/-    0.0001
Geocenter to KBO     17.84978635 +/-    0.0001
# Hcoef:  9.27

The following table shows the complete astrometric record for 16GR206. 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 (16GR206) followed by the observatory code and reference code for the source of the astrometry.

2012 01  22.45549  11 03 20.904  +20 34 32.02  22.1w 16GR206   F51  C~1vaH      
2012 01  22.46962  11 03 20.818  +20 34 33.64  22.2w 16GR206   F51  C~1vaH      
2012 01  22.48366  11 03 20.727  +20 34 34.43  22.1w 16GR206   F51  C~1vaH      
2012 01  22.49769  11 03 20.642  +20 34 35.76  22.1w 16GR206   F51  C~1vaH      
2014 02  20.55172  11 38 40.283  +18 01 34.50  21.3i 16GR206   F51  C~1vaH      
2014 02  20.56524  11 38 40.136  +18 01 35.41  21.5i 16GR206   F51  C~1vaH      
2014 02  20.57885  11 38 40.021  +18 01 36.75  21.5i 16GR206   F51  C~1vaH      
2014 02  24.39533  11 38 05.761  +18 06 23.31  21.7w 16GR206   F51  C~1vaH      
2014 02  24.40785  11 38 05.656  +18 06 24.20  21.8w 16GR206   F51  C~1vaH      
2014 02  24.42037  11 38 05.535  +18 06 25.12  21.8w 16GR206   F51  C~1vaH      
2014 02  24.43293  11 38 05.425  +18 06 26.30  22.0w 16GR206   F51  C~1vaH      
2014 11  26.59757  11 58 36.447  +15 04 51.93  22.1w 16GR206   F51  C~1vaH      
2014 11  26.61010  11 58 36.546  +15 04 51.69  22.1w 16GR206   F51  C~1vaH      
2014 11  26.62262  11 58 36.637  +15 04 51.89  22.3w 16GR206   F51  C~1vaH      
2014 11  26.63516  11 58 36.746  +15 04 51.80  22.3w 16GR206   F51  C~1vaH      
2014 11  30.59294  11 59 06.908  +15 04 51.06  22.1w 16GR206   F51  C~1vaH      
2014 11  30.60484  11 59 06.995  +15 04 51.10  22.1w 16GR206   F51  C~1vaH      
2014 11  30.61677  11 59 07.076  +15 04 51.16  22.4w 16GR206   F51  C~1vaH      
2015 01  15.53822  12 01 07.614  +15 31 36.35  21.9r 16GR206   F51  C~1vaH      
2015 01  15.54941  12 01 07.593  +15 31 36.95  21.8r 16GR206   F51  C~1vaH      
2015 01  15.56061  12 01 07.558  +15 31 37.67  22.2r 16GR206   F51  C~1vaH      
2015 01  15.57188  12 01 07.531  +15 31 38.45  21.7r 16GR206   F51  C~1vaH      
2016 04  04.23563  12 09 59.14   +15 11 35.3   21.9V 16GR206   G96  C~1qqH      
2016 04  04.24709  12 09 59.07   +15 11 35.6   21.9V 16GR206   G96  C~1qqH      
2016 04  04.25854  12 09 58.93   +15 11 36.3   21.2V 16GR206   G96  C~1qqH      
2016 04  04.26999  12 09 58.85   +15 11 36.9   21.8V 16GR206   G96  C~1qqH      
2016 04  04.32779  12 09 58.28   +15 11 39.7   21.4V 16GR206   G96  C~1qqH      
2016 04  04.33186  12 09 58.21   +15 11 40.4   22.0V 16GR206   G96  C~1qqH      
2016 04  04.34000  12 09 58.15   +15 11 40.7   21.8V 16GR206   G96  C~1qqH      
2016 04  05.259771 12 09 49.53   +15 12 22.0   22.2V 16GR206   H01  C~1qqH      
2016 04  05.267804 12 09 49.46   +15 12 22.3   21.8V 16GR206   H01  C~1qqH      
2016 04  05.287519 12 09 49.28   +15 12 23.3   21.9V 16GR206   H01  C~1qqH      
2016 04  05.298877 12 09 49.17   +15 12 23.8   21.8V 16GR206   H01  C~1qqH      
2016 04  09.32594  12 09 12.11   +15 15 12.1   22.0R 16GR206   F51  C~1qqH      
2016 04  09.33834  12 09 12.00   +15 15 12.8   21.7R 16GR206   F51  C~1qqH      
2016 04  09.35087  12 09 11.92   +15 15 13.3   22.0R 16GR206   F51  C~1qqH      
2016 04  09.36351  12 09 11.79   +15 15 13.6   22.4R 16GR206   F51  C~1qqH      
2016 04  10.16457  12 09 04.54   +15 15 44.4   22.1V 16GR206   G96  C~1qqH      
2016 04  10.16958  12 09 04.48   +15 15 44.5   22.2V 16GR206   G96  C~1qqH      
2016 04  10.17460  12 09 04.47   +15 15 45.2   22.4V 16GR206   G96  C~1qqH      
2016 04  10.17961  12 09 04.43   +15 15 44.8   22.7V 16GR206   G96  C~1qqH      

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     0.02       0.00    -0.36
  2   0.0000     -1.75    -0.10       1.01     0.19
  3   0.0001     -3.24     0.03       1.23    -0.05
  4   0.0001     -4.86     0.02       1.97     0.24
  5   2.0810  31318.14     0.20    4314.26     0.12
  6   2.0811  31315.80    -0.08    4314.14    -0.14
  7   2.0811  31313.69    -0.12    4314.62     0.19
  8   2.0916  30735.92    -0.06    4355.03    -0.01
  9   2.0916  30734.15     0.12    4355.17     0.02
 10   2.0916  30732.15     0.07    4355.23    -0.02
 11   2.0917  30730.18     0.05    4355.59     0.25
 12   2.8450  52294.25    -0.19    2662.33    -0.12
 13   2.8451  52295.72    -0.08    2662.80    -0.31
 14   2.8451  52296.87    -0.30    2663.62    -0.15
 15   2.8451  52298.40    -0.12    2664.29    -0.13
 16   2.8560  52711.26     0.18    2873.37    -0.06
 17   2.8560  52712.43     0.21    2874.01    -0.05
 18   2.8560  52713.51     0.14    2874.63    -0.06
 19   2.9817  53568.07    -0.03    5183.06     0.10
 20   2.9818  53567.49     0.09    5183.46     0.04
 21   2.9818  53566.65    -0.03    5183.87    -0.00
 22   2.9818  53565.90    -0.07    5184.39     0.06
 23   4.1993  61499.10     0.19    7889.76    -0.35
 24   4.1993  61497.97 (   0.86)   7889.52 (  -0.27)
 25   4.1993  61495.66     0.34    7889.14    -0.33
 26   4.1994  61494.24 (   0.71)   7889.11 (  -0.05)
 27   4.1995  61484.88     0.39    7887.51    -0.03
 28   4.1995  61483.54    -0.31    7887.64     0.22
 29   4.1995  61482.56    -0.03    7887.48     0.28
 30   4.2021  61341.50    -0.36    7862.43    -0.11
 31   4.2021  61340.37    -0.24    7862.20    -0.11
 32   4.2021  61337.36    -0.20    7861.80     0.05
 33   4.2022  61335.57    -0.23    7861.46     0.03
 34   4.2132  60734.54    -0.15    7745.71    -0.18
 35   4.2132  60732.65    -0.19    7745.55     0.05
 36   4.2133  60731.28     0.30    7745.42     0.32
 37   4.2133  60729.33     0.23    7744.75     0.05
 38   4.2155  60612.96    -0.02    7720.24    -0.02
 39   4.2155  60612.07    -0.17    7719.90    -0.21
 40   4.2155  60611.58     0.07    7720.47     0.52
 41   4.2155  60611.23     0.45    7719.81     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.

16GR206    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        20.267    20.270    20.264
ecceobj         0.079     0.079     0.079
incobj         14.224    14.224    14.224
qmin           18.524    18.538    17.894
qmax           21.861    21.866    21.855
amean          20.129    20.145    19.806
amin           20.007    20.027    18.768
amax           20.267    20.270    20.264
emean           0.076     0.077     0.055
emin            0.070     0.072     0.028
emax            0.081     0.080     0.081
imean          12.690    12.691    12.853
imin           12.673    12.670    12.684
imax           12.699    12.699    13.064
excite_mean     0.233     0.233     0.230
fracstop        0.000     0.000     0.001
cjmean          3.086     3.085     3.098

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        69.5      69.2      67.4
kozaiamp          1.1       0.9      15.8