Orbit Fit and Astrometric record for 10TK192

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: 10TK192   
# Created Sat Aug 18 01:37:53 2018
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   24
# Arc:  13.08y
# First observation: 2000/09/27
#  Last observation: 2013/10/27
Preliminary a, adot, b, bdot, g, gdot:
  -0.001771   0.021085  -0.001209   0.014499   0.022900   0.000000
# Chi-squared of fit:    22.55 DOF:   40 RMS:  0.18
# Min/Max residuals:    -0.54    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.379795E-05  2.010433E-02  9.209488E-06  1.380443E-02  2.422901E-02 -1.843440E-03
# Covariance matrix:
  4.7646E-13 -6.8614E-14  1.8165E-14 -2.0525E-14 -2.8074E-14 -1.1154E-13
 -6.8614E-14  3.8468E-14 -2.1128E-14  2.3778E-14  4.0051E-14  1.2925E-13
  1.8165E-14 -2.1128E-14  4.6364E-13 -5.3386E-14 -2.4020E-14 -7.8916E-14
 -2.0525E-14  2.3778E-14 -5.3386E-14  2.0237E-14  2.3736E-14  8.9061E-14
 -2.8074E-14  4.0051E-14 -2.4020E-14  2.3736E-14  3.0286E-13  1.3017E-13
 -1.1154E-13  1.2925E-13 -7.8916E-14  8.9061E-14  1.3017E-13  4.8402E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.454996    6.635576    0.040047   -0.231858   -0.968336  2451814.883820
# Heliocentric elements and errors
Epoch:              2451810.5000  =  2000/09/23
Mean Anomaly:          325.71795 +/-     0.018
Argument of Peri:       20.62870 +/-     0.023
Long of Asc Node:       24.95548 +/-     0.000
Inclination:            36.52576 +/-     0.000
Eccentricity:         0.12019299 +/-    0.0001
Semi-Major Axis:     46.63005940 +/-    0.0046
Time of Perihelion: 2462885.9556 +/-       5.5
Perihelion:          41.02545331 +/-    0.0049
Aphelion:            52.23466548 +/-    0.0059
Period (y)              318.4250 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           40.87020170 +/-    0.0009
Ecliptic Y            4.71868284 +/-    0.0001
Ecliptic Z           -9.60304922 +/-    0.0002
Ecliptic XDOT        -0.00011070 +/-    0.0000
Ecliptic YDOT         0.00228010 +/-    0.0000
Ecliptic ZDOT         0.00156570 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.24757874 +/-    0.0009
Geocenter to KBO     41.27283968 +/-    0.0009
# Hcoef:  6.50

The following table shows the complete astrometric record for 10TK192. 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 (10TK192) followed by the observatory code and reference code for the source of the astrometry.

2000 09  27.383077 00 45 47.99   -09 43 00.4   22.0V 10TK192   645  C~2POO      
2000 09  27.383906 00 45 47.99   -09 43 00.3   22.6V 10TK192   645  C~2POO      
2000 09  27.386394 00 45 47.99   -09 43 00.3   23.2V 10TK192   645  C~2POO      
2010 10  13.44585  01 14 22.335  +02 17 37.18  23.0w 10TK192   F51  C~1w3k      
2010 10  13.47642  01 14 22.176  +02 17 36.41  22.9w 10TK192   F51  C~1w3k      
2010 10  13.49031  01 14 22.112  +02 17 36.11  23.0w 10TK192   F51  C~1w3k      
2010 10  30.35930  01 13 00.611  +02 12 16.65  23.1w 10TK192   F51  C~1w3k      
2010 10  30.37362  01 13 00.511  +02 12 16.96  23.0w 10TK192   F51  C~1w3k      
2010 10  30.38760  01 13 00.451  +02 12 16.58  22.9w 10TK192   F51  C~1w3k      
2011 01  29.24376  01 10 29.043  +02 20 18.80  23.1w 10TK192   F51  C~1w3l      
2011 07  05.58677  01 21 38.349  +03 49 52.46  23.2w 10TK192   F51  C~1w3l      
2011 07  05.59075  01 21 38.354  +03 49 52.32  23.1w 10TK192   F51  C~1w3l      
2011 07  05.59868  01 21 38.392  +03 49 52.10  23.1w 10TK192   F51  C~1w3l      
2011 09  23.50415  01 19 01.119  +03 38 40.66  22.8w 10TK192   F51  C~1w3l      
2012 10  15.36253  01 20 15.016  +04 44 51.71  22.5w 10TK192   F51  C~1w3l      
2012 11  05.28880  01 18 34.367  +04 38 21.68  22.8w 10TK192   F51  C~1w3l      
2012 11  05.31900  01 18 34.225  +04 38 21.16  22.4w 10TK192   F51  C~1w3l      
2012 11  05.33414  01 18 34.161  +04 38 21.17  22.6w 10TK192   F51  C~1w3l      
2013 09  28.61000  01 24 41.575  +06 04 51.44  21.6r 10TK192   F51  C~1w3l      
2013 10  02.39512  01 24 23.554  +06 03 35.11  22.4w 10TK192   F51  C~1w3l      
2013 10  02.42484  01 24 23.405  +06 03 34.35  22.4w 10TK192   F51  C~1w3l      
2013 10  02.42634  01 24 23.367  +06 03 34.36  22.7w 10TK192   F51  C~1w3l      
2013 10  27.34883  01 22 20.653  +05 55 11.04  22.6w 10TK192   F51  C~1w3l      
2013 10  27.38003  01 22 20.522  +05 55 10.29  22.7w 10TK192   F51  C~1w3l      

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    -0.14       0.00    -0.04
  2   0.0000      0.04    -0.04       0.09     0.04
  3   0.0000      0.04     0.15       0.09     0.02
  4  10.0426  41811.18     0.15   29677.95     0.15
  5  10.0427  41808.56     0.00   29678.20     0.05
  6  10.0427  41807.51     0.07   29678.30     0.01
  7  10.0889  40502.58     0.19   29875.43    -0.54
  8  10.0890  40501.29    -0.02   29876.34     0.18
  9  10.0890  40500.27     0.01   29876.35     0.00
 10  10.3377  38555.06    -0.09   31269.45    -0.10
 11  10.7685  50578.33    -0.11   32317.65     0.20
 12  10.7685  50578.34    -0.19   32317.48     0.03
 13  10.7686  50578.79     0.09   32317.04    -0.44
 14  10.9873  47994.50     0.11   32636.66     0.27
 15  12.0492  50873.27 (   0.02)  36043.75 (   0.56)
 16  12.1065  49232.27    -0.17   36281.47     0.05
 17  12.1066  49229.97    -0.22   36281.84     0.03
 18  12.1066  49229.05    -0.02   36282.24     0.24
 19  13.0027  57001.28    -0.10   39132.35    -0.31
 20  13.0130  56699.83     0.32   39167.12     0.04
 21  13.0131  56697.27     0.19   39167.28    -0.10
 22  13.0131  56696.72    -0.24   39167.52     0.13
 23  13.0814  54656.79    -0.11   39421.17     0.19
 24  13.0814  54654.52     0.16   39421.23    -0.11

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.

10TK192    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.704    46.718    46.690
ecceobj         0.121     0.121     0.121
incobj         36.511    36.511    36.511
qmin           40.181    40.187    40.153
qmax           52.939    53.000    52.941
amean          46.417    46.430    46.403
amin           46.050    46.043    46.029
amax           46.818    46.848    46.805
emean           0.119     0.119     0.118
emin            0.106     0.106     0.106
emax            0.131     0.132     0.131
imean          36.329    36.329    36.329
imin           36.096    36.092    36.092
imax           36.580    36.580    36.577
excite_mean     0.604     0.604     0.604
fracstop        1.000     1.000     1.000
cjmean          2.634     2.634     2.634

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       155.3     155.3     155.3
kozaiamp        179.9     180.0     179.9