Orbit Fit and Astrometric record for 06TK121

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: 06TK121   
# Created Sat Dec  4 02:10:35 2021
# Orbit generated from Bernstein formalism
# Fitting     25 observations of     25
# Arc:   3.09y
# First observation: 2005/08/30
#  Last observation: 2008/09/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.000130   0.029862   0.000233  -0.012320   0.029490   0.000000
# Chi-squared of fit:    21.26 DOF:     44 RMS:  0.16
# Min/Max residuals:    -0.28    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.661909E-05  2.897701E-02 -5.250473E-06 -1.191850E-02  2.883045E-02 -6.625854E-03
# Covariance matrix:
  3.2860E-13 -2.9489E-13 -5.2655E-14  9.3797E-14 -4.3554E-14 -2.1736E-12
 -2.9489E-13  1.5466E-12  3.8586E-13 -6.7939E-13  1.2488E-12  1.6108E-11
 -5.2655E-14  3.8586E-13  2.8579E-13 -2.6194E-13  3.2530E-13  4.1748E-12
  9.3797E-14 -6.7939E-13 -2.6194E-13  3.6733E-13 -5.7148E-13 -7.3496E-12
 -4.3554E-14  1.2488E-12  3.2530E-13 -5.7148E-13  1.2000E-12  1.3608E-11
 -2.1736E-12  1.6108E-11  4.1748E-12 -7.3496E-12  1.3608E-11  1.7430E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
  -15.686343   27.873020    0.782801   -0.173708   -0.618913  2453612.962881
# Heliocentric elements and errors
Epoch:              2453610.5000  =  2005/08/28
Mean Anomaly:          306.62440 +/-     0.025
Argument of Peri:      295.78015 +/-     0.020
Long of Asc Node:      174.29386 +/-     0.001
Inclination:            27.29753 +/-     0.000
Eccentricity:         0.24917299 +/-    0.0004
Semi-Major Axis:     39.21267034 +/-    0.0111
Time of Perihelion: 2466908.2541 +/-       2.7
Perihelion:          29.44193203 +/-    0.0194
Aphelion:            48.98340865 +/-    0.0223
Period (y)              245.5545 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.44933807 +/-    0.0011
Ecliptic Y           15.21965158 +/-    0.0006
Ecliptic Z           -9.37812323 +/-    0.0004
Ecliptic XDOT        -0.00209073 +/-    0.0000
Ecliptic YDOT         0.00199952 +/-    0.0000
Ecliptic ZDOT        -0.00091953 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.30933557 +/-    0.0010
Geocenter to KBO     34.68554932 +/-    0.0013
# Hcoef:  8.07

The following table shows the complete astrometric record for 06TK121. 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 (06TK121) followed by the observatory code and reference code for the source of the astrometry.

2005 08  30.462138 02 05 47.96   -03 57 27.8         06TK121   568  C~4q7E      
2005 08  30.464816 02 05 47.95   -03 57 27.8         06TK121   568  C~4q7E      
2005 08  30.472788 02 05 47.93   -03 57 28.1         06TK121   568  C~4q7E      
2005 08  30.483694 02 05 47.91   -03 57 28.6         06TK121   568  C~4q7E      
2006 10  15.27959  02 09 59.71   -04 34 11.9   23.1R 06TK121   807  Cv6280      
2006 10  15.30276  02 09 59.59   -04 34 12.8   22.7I 06TK121   807  Cv6280      
2006 10  19.30420  02 09 38.49   -04 36 49.0   23.4R 06TK121   807  Cv6280      
2006 10  21.29087  02 09 27.88   -04 38 04.0   23.2R 06TK121   807  Cv6280      
2006 10  21.31867  02 09 27.73   -04 38 05.1   22.6I 06TK121   807  Cv6280      
2006 11  12.10143  02 07 31.54   -04 49 23.1   23.0R 06TK121   807  Cv6280      
2006 11  12.12180  02 07 31.43   -04 49 23.4   22.8I 06TK121   807  Cv6280      
2006 11  26.25153  02 06 22.74   -04 53 51.9   22.5I 06TK121   807  Cv6280      
2006 12  13.12456  02 05 16.77   -04 55 47.5   23.2R 06TK121   807  Cv6280      
2006 12  17.10763  02 05 04.51   -04 55 41.4   23.5R 06TK121   807  Cv6280      
2006 12  19.12017  02 04 58.88   -04 55 33.3   23.4R 06TK121   807  Cv6280      
2006 12  25.15166  02 04 44.32   -04 54 49.8   22.9I 06TK121   807  Cv6280      
2007 01  11.09952  02 04 23.64   -04 50 18.9   23.3R 06TK121   807  Cv6280      
2007 01  11.11979  02 04 23.63   -04 50 18.6   23.0I 06TK121   807  Cv6280      
2007 01  14.08214  02 04 23.24   -04 49 10.3   22.8I 06TK121   807  Cv6280      
2008 08  29.530753 02 27 49.59   -04 05 48.2         06TK121   568  C~4q7E      
2008 08  29.537128 02 27 49.58   -04 05 48.4         06TK121   568  C~4q7E      
2008 09  29.42030  02 26 09.75   -04 29 27.6   23.2i 06TK121   568  C~59eM      
2008 09  29.59718  02 26 08.94   -04 29 35.5   23.2i 06TK121   568  C~59eM      
2008 09  29.62094  02 26 08.84   -04 29 36.6   23.4i 06TK121   568  C~59eM      
2008 09  30.49391  02 26 04.93   -04 30 15.9         06TK121   568  C~59eM      

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    -0.15       0.00    -0.27
     2   0.0000     -0.14    -0.16       0.05    -0.14
     3   0.0000     -0.53    -0.14      -0.12    -0.10
     4   0.0001     -0.98    -0.06      -0.48    -0.16
     5   1.1248   2745.38     0.19   -3392.30    -0.02
     6   1.1248   2743.38     0.24   -3392.51    -0.02
     7   1.1358   2392.95     0.31   -3427.00    -0.00
     8   1.1412   2218.00     0.11   -3441.05     0.01
     9   1.1413   2215.51     0.10   -3441.29    -0.05
    10   1.2009    350.73    -0.10   -3461.82    -0.07
    11   1.2010    349.08    -0.07   -3461.52     0.13
    12   1.2397   -706.42    -0.02   -3350.49     0.33
    13   1.2859  -1669.94     0.26   -3111.14     0.25
    14   1.2968  -1839.29    -0.03   -3040.88     0.15
    15   1.3023  -1915.20     0.08   -3003.66     0.13
    16   1.3188  -2103.56    -0.09   -2886.30     0.02
    17   1.3652  -2297.49    -0.06   -2523.85     0.17
    18   1.3653  -2297.52    -0.15   -2523.52     0.05
    19   1.3734  -2278.92    -0.04   -2457.53     0.09
    20   2.9981  18361.20     0.25   -7523.13    -0.28
    21   2.9982  18360.99     0.31   -7523.26    -0.21
    22   3.0827  16444.37    -0.23   -8313.29    -0.16
    23   3.0832  16430.14    -0.26   -8316.32    -0.00
    24   3.0833  16428.34    -0.16   -8316.81    -0.07
    25   3.0856  16359.20    -0.15   -8332.49     0.21

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.

06TK121    quality flag:3

Type:           3:2E      3:2E      3:2E
Type:          6:4II     6:4II     6:4II

axisobj        39.680    39.712    39.648
ecceobj         0.252     0.253     0.251
incobj         27.190    27.190    27.190
qmin           27.566    27.461    27.687
qmax           51.628    51.994    51.789
amean          39.453    39.453    39.454
amin           39.051    39.078    39.029
amax           39.939    39.920    39.948
emean           0.262     0.263     0.260
emin            0.215     0.214     0.213
emax            0.299     0.302     0.297
imean          26.382    26.370    26.423
imin           25.167    25.117    25.307
imax           27.425    27.445    27.380
excite_mean     0.516     0.517     0.516
fracstop        1.000     1.000     1.000
cjmean          2.743     2.742     2.743

libcent 0       180.3     180.7     181.0
libamp  0        54.1      42.1      67.9
libcent 1       181.0     181.7     180.0
libamp  1       136.2     112.4     165.8
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       269.5     269.5     269.4
kozaiamp         25.9      25.9      25.9