Orbit Fit and Astrometric record for 13KZ18

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: 13KZ18    
# Created Sun Oct 22 01:38:17 2017
# Orbit generated from Bernstein formalism
# Fitting   50 observations of   52
# Arc:   2.96y
# First observation: 2012/08/13
#  Last observation: 2015/07/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.005594   0.082119  -0.002481   0.057269   0.057777   0.000000
# Chi-squared of fit:    33.09 DOF:   94 RMS:  0.14
# Min/Max residuals:    -0.41    0.32
# Exact a, adot, b, bdot, g, gdot:
  2.169735E-05  7.775070E-02  1.608916E-05  5.478211E-02  5.529774E-02 -8.318024E-03
# Covariance matrix:
  3.2691E-13 -3.1957E-13  1.0047E-13 -1.7129E-13 -1.4644E-13 -8.7112E-13
 -3.1957E-13  3.9884E-13 -1.4319E-13  2.4119E-13  1.6841E-13  1.2271E-12
  1.0047E-13 -1.4319E-13  1.8968E-13 -1.5195E-13 -5.9071E-14 -4.7971E-13
 -1.7129E-13  2.4119E-13 -1.5195E-13  1.9030E-13  1.0762E-13  8.0672E-13
 -1.4644E-13  1.6841E-13 -5.9071E-14  1.0762E-13  1.8091E-13  5.4606E-13
 -8.7112E-13  1.2271E-12 -4.7971E-13  8.0672E-13  5.4606E-13  4.1046E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.091501  -36.172856    0.054972    0.107302   -1.005649  2456152.924208
# Heliocentric elements and errors
Epoch:              2456150.5000  =  2012/08/11
Mean Anomaly:          354.01939 +/-     0.001
Argument of Peri:       27.37816 +/-     0.004
Long of Asc Node:      315.55517 +/-     0.000
Inclination:            35.59291 +/-     0.000
Eccentricity:         0.44960535 +/-    0.0000
Semi-Major Axis:     34.19087682 +/-    0.0018
Time of Perihelion: 2457363.6275 +/-       0.3
Perihelion:          18.81847555 +/-    0.0013
Aphelion:            49.56327810 +/-    0.0028
Period (y)              199.9280 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           15.30192953 +/-    0.0001
Ecliptic Y          -11.25208942 +/-    0.0001
Ecliptic Z            1.91933673 +/-    0.0000
Ecliptic XDOT         0.00170356 +/-    0.0000
Ecliptic YDOT         0.00352189 +/-    0.0000
Ecliptic ZDOT         0.00265342 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   19.09037499 +/-    0.0001
Geocenter to KBO     18.08392063 +/-    0.0001
# Hcoef:  8.97

The following table shows the complete astrometric record for 13KZ18. 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 (13KZ18) followed by the observatory code and reference code for the source of the astrometry.

2012 08  13.42343  21 36 28.188  -07 49 18.30  21.4w 13KZ18    F51  C~1vWz      
2012 08  13.43797  21 36 28.034  -07 49 18.66  21.5w 13KZ18    F51  C~1vWz      
2012 08  13.45249  21 36 27.888  -07 49 18.78  21.6w 13KZ18    F51  C~1vWz      
2013 05  16.56257  21 57 02.941  -03 58 43.14  22.0w 13KZ18    F51  C~1vWz      
2013 05  16.56783  21 57 02.952  -03 58 42.96  22.2w 13KZ18    F51  C~1vWz      
2013 05  16.57309  21 57 02.968  -03 58 42.67  21.7w 13KZ18    F51  C~1vWz      
2013 05  16.57834  21 57 02.979  -03 58 42.25  21.7w 13KZ18    F51  C~1vWz      
2013 06  20.56107  21 56 29.368  -03 27 26.85  21.9w 13KZ18    F51  C~1vWz      
2013 06  20.57412  21 56 29.323  -03 27 26.25  21.8w 13KZ18    F51  C~1vWz      
2013 06  20.58716  21 56 29.250  -03 27 25.93  21.6w 13KZ18    F51  C~1vWz      
2013 06  20.60018  21 56 29.193  -03 27 25.21  21.8w 13KZ18    F51  C~1vWz      
2013 08  01.53510  21 51 21.560  -03 19 07.87  21.3i 13KZ18    F51  C~1vWz      
2013 08  01.54733  21 51 21.467  -03 19 07.77  21.2i 13KZ18    F51  C~1vWz      
2013 08  01.57260  21 51 21.212  -03 19 08.23  21.3r 13KZ18    F51  C~1vWz      
2013 08  12.44684  21 49 33.451  -03 21 30.97  21.7w 13KZ18    F51  C~1vWz      
2013 08  12.46189  21 49 33.296  -03 21 31.28  21.6w 13KZ18    F51  C~1vWz      
2013 08  12.47738  21 49 33.138  -03 21 31.47  21.4w 13KZ18    F51  C~1vWz      
2013 08  12.49235  21 49 32.976  -03 21 31.75  21.6w 13KZ18    F51  C~1vWz      
2013 08  18.44452  21 48 32.565  -03 23 24.46  21.2i 13KZ18    F51  C~1vWz      
2013 08  18.45520  21 48 32.455  -03 23 24.70  21.3i 13KZ18    F51  C~1vWz      
2013 08  18.47608  21 48 32.252  -03 23 25.26  21.4r 13KZ18    F51  C~1vWz      
2014 06  30.51697  22 08 17.734  +01 02 43.34  21.6w 13KZ18    F51  C~1vWz      
2014 06  30.53060  22 08 17.658  +01 02 43.76  21.7w 13KZ18    F51  C~1vWz      
2014 06  30.54433  22 08 17.591  +01 02 44.36  21.8w 13KZ18    F51  C~1vWz      
2014 06  30.55811  22 08 17.507  +01 02 44.73  21.8w 13KZ18    F51  C~1vWz      
2014 07  10.54294  22 07 16.417  +01 07 35.74  21.2i 13KZ18    F51  C~1vWz      
2014 07  10.55648  22 07 16.321  +01 07 36.17  21.3i 13KZ18    F51  C~1vWz      
2014 07  10.57009  22 07 16.221  +01 07 36.47  21.3i 13KZ18    F51  C~1vWz      
2014 09  15.39004  21 56 55.254  +00 54 43.21  21.2i 13KZ18    F51  C~1vWz      
2014 09  15.40226  21 56 55.146  +00 54 42.76  21.1i 13KZ18    F51  C~1vWz      
2014 09  15.41455  21 56 55.035  +00 54 42.56  21.3i 13KZ18    F51  C~1vWz      
2014 09  15.42686  21 56 54.925  +00 54 41.64  21.1i 13KZ18    F51  C~1vWz      
2014 11  19.21443  21 52 40.772  +00 28 19.29  21.9w 13KZ18    F51  C~1vWz      
2014 11  19.22635  21 52 40.813  +00 28 19.40  22.0w 13KZ18    F51  C~1vWz      
2014 11  19.23826  21 52 40.844  +00 28 19.37  21.7w 13KZ18    F51  C~1vWz      
2014 11  19.25014  21 52 40.868  +00 28 19.42  21.7w 13KZ18    F51  C~1vWz      
2015 07  18.55054  22 19 10.923  +05 38 54.93  21.5w 13KZ18    F51  C~1vWz      
2015 07  18.55118  22 19 10.914  +05 38 54.69  21.5w 13KZ18    F51  C~1vWz      
2015 07  18.56247  22 19 10.824  +05 38 55.22  21.6w 13KZ18    F51  C~1vWz      
2015 07  18.56331  22 19 10.802  +05 38 54.99  21.4w 13KZ18    F51  C~1vWz      
2015 07  18.57480  22 19 10.752  +05 38 55.21  21.5w 13KZ18    F51  C~1vWz      
2015 07  18.57545  22 19 10.728  +05 38 55.48  21.5w 13KZ18    F51  C~1vWz      
2015 07  18.58689  22 19 10.643  +05 38 55.55  21.7w 13KZ18    F51  C~1vWz      
2015 07  18.58753  22 19 10.663  +05 38 56.01  21.8w 13KZ18    F51  C~1vWz      
2015 07  19.51263  22 19 03.665  +05 39 16.82  21.5w 13KZ18    F51  C~1vWz      
2015 07  19.52450  22 19 03.570  +05 39 17.10  21.5w 13KZ18    F51  C~1vWz      
2015 07  19.53672  22 19 03.479  +05 39 17.40  21.4w 13KZ18    F51  C~1vWz      
2015 07  19.54889  22 19 03.380  +05 39 17.56  21.4w 13KZ18    F51  C~1vWz      
2015 07  30.42748  22 17 33.529  +05 41 55.61  21.1i 13KZ18    F51  C~1vWz      
2015 07  30.43940  22 17 33.417  +05 41 55.99  21.1i 13KZ18    F51  C~1vWz      
2015 07  30.45125  22 17 33.305  +05 41 55.77  21.1i 13KZ18    F51  C~1vWz      
2015 07  30.46311  22 17 33.198  +05 41 56.09  21.3i 13KZ18    F51  C~1vWz      

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     0.11       0.00    -0.09
  2   0.0000     -2.28     0.04       0.40    -0.16
  3   0.0001     -4.37     0.17       0.99    -0.05
  4   0.7560  22037.34    -0.04    7035.03     0.27
  5   0.7560  22037.55    -0.12    7035.15     0.09
  6   0.7561  22037.88    -0.09    7035.34    -0.01
  7   0.7561  22038.18    -0.09    7035.69     0.03
  8   0.8518  22193.23     0.07    8985.99    -0.05
  9   0.8519  22192.79     0.30    8986.79     0.03
 10   0.8519  22191.85     0.04    8987.46    -0.02
 11   0.8520  22191.28     0.14    8988.43     0.23
 12   0.9668  17969.48    -0.39   10987.45     0.01
 13   0.9668  17968.19     0.07   10988.00     0.07
 14   0.9669  17964.40    -0.12   10988.82    -0.12
 15   0.9966  16381.61    -0.05   11385.13    -0.03
 16   0.9967  16379.30    -0.07   11385.60    -0.08
 17   0.9967  16376.99    -0.02   11386.20    -0.02
 18   0.9968  16374.59    -0.14   11386.74    -0.00
 19   1.0131  15477.03    -0.06   11577.33     0.00
 20   1.0131  15475.38    -0.06   11577.64    -0.02
 21   1.0131  15472.30     0.08   11578.11    -0.20
 22   1.8784  38040.34     0.01   21021.71     0.04
 23   1.8785  38039.37    -0.03   21022.49    -0.01
 24   1.8785  38038.60     0.14   21023.41     0.06
 25   1.8785  38037.50    -0.02   21024.19    -0.02
 26   1.9059  37245.62     0.05   21611.04    -0.11
 27   1.9059  37244.37     0.09   21611.94     0.01
 28   1.9059  37243.01     0.03   21612.72     0.02
 29   2.0889  27936.23    -0.20   23938.40     0.30
 30   2.0889  27934.51    -0.16   23938.49     0.26
 31   2.0890  27932.84 (  -0.06)  23938.85 (   0.46)
 32   2.0890  27930.93    -0.20   23938.50    -0.03
 33   2.2664  23716.88    -0.11   23662.57    -0.00
 34   2.2664  23717.51     0.16   23662.48     0.03
 35   2.2664  23717.94     0.23   23662.30    -0.03
 36   2.2665  23718.31     0.23   23662.23     0.03
 37   2.9271  53794.69     0.18   34193.50    -0.05
 38   2.9271  53794.47     0.03   34193.31    -0.29
 39   2.9271  53793.30     0.08   34194.28    -0.00
 40   2.9271  53792.88    -0.25   34194.16    -0.18
 41   2.9272  53792.21     0.31   34194.62    -0.41
 42   2.9272  53791.95     0.11   34195.01    -0.06
 43   2.9272  53790.68     0.08   34195.50    -0.27
 44   2.9272  53791.16 (   0.63)  34195.86 (   0.06)
 45   2.9297  53692.99     0.08   34250.97     0.05
 46   2.9298  53691.66     0.05   34251.72     0.08
 47   2.9298  53690.39     0.13   34252.46     0.10
 48   2.9298  53688.95     0.03   34253.11     0.01
 49   2.9596  52389.36    -0.15   34850.28    -0.00
 50   2.9597  52387.81    -0.11   34851.20     0.32
 51   2.9597  52386.04    -0.30   34851.53     0.03
 52   2.9597  52384.54    -0.21   34852.37     0.27

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.

13KZ18    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        34.056    34.061    34.050
ecceobj         0.449     0.449     0.449
incobj         35.577    35.577    35.577
qmin           18.741    18.740    18.742
qmax           50.779    50.210    50.248
amean          34.374    34.123    34.210
amin           33.658    33.951    33.947
amax           34.906    34.523    34.651
emean           0.383     0.447     0.448
emin            0.246     0.443     0.442
emax            0.455     0.454     0.455
imean          39.315    37.011    37.011
imin           36.877    36.883    36.857
imax           43.002    37.126    37.188
excite_mean     0.743     0.750     0.750
fracstop        0.080     0.001     0.002
cjmean          2.388     2.396     2.395

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        57.7      27.7      27.8
kozaiamp         22.3       0.6       0.7