Orbit Fit and Astrometric record for 07TK422

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: 07TK422   
# Created Thu Feb 21 02:08:54 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   75 observations of   75
# Arc:  17.31y
# First observation: 2000/09/21
#  Last observation: 2018/01/12
# Chi-squared of fit:   133.33 DOF:  144 RMS:  0.24
# Min/Max residuals:    -0.58    1.62
# Exact a, adot, b, bdot, g, gdot:
  2.455535E-05  8.127719E-02 -2.566107E-07  9.739304E-05  5.479573E-02  1.240691E-02
# Covariance matrix:
  1.0185E-12 -2.3408E-09  4.1008E-14 -3.9248E-10  8.3911E-11 -2.5078E-09
 -2.3408E-09  2.0206E-05 -3.5759E-10  3.3870E-06 -5.4777E-07  2.1637E-05
  4.1008E-14 -3.5759E-10  7.4000E-13 -6.0050E-11  9.0726E-12 -3.8289E-10
 -3.9248E-10  3.3870E-06 -6.0050E-11  5.6788E-07 -9.2010E-08  3.6270E-06
  8.3911E-11 -5.4777E-07  9.0726E-12 -9.2010E-08  4.5455E-08 -5.8847E-07
 -2.5078E-09  2.1637E-05 -3.8289E-10  3.6270E-06 -5.8847E-07  2.3171E-05
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.220905  -23.753183   -0.374050   -0.052226   -0.924467  2451808.703543
# Heliocentric elements and errors
Epoch:              2451808.5000  =  2000/09/21
Mean Anomaly:           51.09168 +/-     0.020
Argument of Peri:      201.04765 +/-     0.011
Long of Asc Node:       65.49038 +/-     0.007
Inclination:             3.06593 +/-     0.001
Eccentricity:         0.19218469 +/-    0.0000
Semi-Major Axis:     21.17266282 +/-    0.0000
Time of Perihelion: 2446758.2908 +/-       2.0
Perihelion:          17.10360115 +/-    0.0000
Aphelion:            25.24172449 +/-    0.0001
Period (y)               97.4252 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           17.68104880 +/-    0.0001
Ecliptic Y           -7.36501398 +/-    0.0000
Ecliptic Z           -1.02534307 +/-    0.0000
Ecliptic XDOT         0.00219506 +/-    0.0000
Ecliptic YDOT         0.00347264 +/-    0.0000
Ecliptic ZDOT        -0.00002982 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   19.18101847 +/-    0.0001
Geocenter to KBO     18.24956691 +/-    0.0001
# Hcoef:  9.05

The following table shows the complete astrometric record for 07TK422. 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 (07TK422) followed by the observatory code and reference code for the source of the astrometry.

2000 09  21.20280  22 36 54.71   -12 12 41.2   19.0R 07TK422   695  C~0NlL      
2000 09  21.28587  22 36 54.00   -12 12 43.3         07TK422   695  C~0NlL      
2001 09  19.291473 22 54 33.90   -10 25 58.9   22.1V 07TK422   645  C~1SLI      
2001 09  19.292302 22 54 33.89   -10 25 59.0   21.6V 07TK422   645  C~1SLI      
2001 09  19.294790 22 54 33.88   -10 25 59.1   22.5V 07TK422   645  C~1SLI      
2007 09  15.29012  00 27 08.68   -00 05 42.3   22.5  07TK422   705  cx9534      
2007 09  15.29344  00 27 08.66   -00 05 42.3   23.4  07TK422   705  cx9534      
2007 09  22.32252  00 26 10.32   -00 12 01.7   21.5  07TK422   705  cx9534      
2007 09  22.32335  00 26 10.33   -00 12 01.8   21.3  07TK422   705  cx9534      
2007 10  06.33146  00 24 11.32   -00 24 33.2   22.6  07TK422   705  cx9534      
2007 10  06.33395  00 24 11.29   -00 24 33.1   23.5  07TK422   705  cx9534      
2007 10  13.33235  00 23 12.78   -00 30 30.7   22.7  07TK422   705  cx9534      
2007 10  13.33567  00 23 12.78   -00 30 30.8   22.9  07TK422   705  cx9534      
2007 10  15.33725  00 22 56.41   -00 32 09.0   22.4  07TK422   705  cx9534      
2007 10  15.33974  00 22 56.39   -00 32 09.4   23.2  07TK422   705  cx9534      
2007 10  20.32183  00 22 16.69   -00 36 04.9   22.7  07TK422   705  cx9534      
2007 10  20.32515  00 22 16.67   -00 36 04.9   23.5  07TK422   705  cx9534      
2007 11  11.25369  00 19 48.02   -00 49 52.8   22.6  07TK422   705  cx9534      
2007 11  11.25701  00 19 48.01   -00 49 53.0   23.4  07TK422   705  cx9534      
2007 11  12.24062  00 19 42.65   -00 50 20.3   22.6  07TK422   705  cx9534      
2007 11  12.24394  00 19 42.62   -00 50 20.7   23.3  07TK422   705  cx9534      
2008 12  01.09201  00 31 54.85   +00 37 50.3   22.2R 07TK422   688  C~02eZ      
2008 12  01.25939  00 31 54.33   +00 37 49.7         07TK422   688  C~02eZ      
2008 12  21.15619  00 31 30.50   +00 38 14.5   21.4r 07TK422   695  C~02eZ      
2008 12  22.09904  00 31 31.11   +00 38 27.1   21.3r 07TK422   695  C~02eZ      
2008 12  22.18482  00 31 31.17   +00 38 28.2   21.5r 07TK422   695  C~02eZ      
2010 09  17.32927  01 07 09.39   +04 30 54.4   22.2R 07TK422   688  C~0NHt      
2010 09  17.38043  01 07 09.00   +04 30 51.9         07TK422   688  C~0NHt      
2010 10  13.44515  01 03 37.449  +04 09 08.94  22.2G 07TK422   F51  C~2r7I      
2010 10  13.46035  01 03 37.305  +04 09 08.10  22.4G 07TK422   F51  C~2r7I      
2010 10  13.47570  01 03 37.178  +04 09 07.40  22.1G 07TK422   F51  C~2r7I      
2010 10  13.48963  01 03 37.060  +04 09 06.60  22.6G 07TK422   F51  C~2r7I      
2011 09  23.45850  01 19 17.611  +05 53 16.99  22.4G 07TK422   F51  C~2r7I      
2011 09  23.47387  01 19 17.497  +05 53 16.63  22.7G 07TK422   F51  C~2r7I      
2011 09  23.48927  01 19 17.372  +05 53 15.77  22.5G 07TK422   F51  C~2r7I      
2011 09  23.50481  01 19 17.240  +05 53 15.15  22.6G 07TK422   F51  C~2r7I      
2012 10  08.49915  01 29 51.769  +07 04 57.56  22.1G 07TK422   F51  C~2r7I      
2012 10  08.51226  01 29 51.652  +07 04 56.55  22.6G 07TK422   F51  C~2r7I      
2012 10  17.39357  01 28 37.743  +06 57 51.25  22.6G 07TK422   F51  C~2r7I      
2012 10  17.40699  01 28 37.641  +06 57 50.64  22.5G 07TK422   F51  C~2r7I      
2012 10  17.42041  01 28 37.518  +06 57 49.61  23.0G 07TK422   F51  C~2r7I      
2012 10  17.43394  01 28 37.405  +06 57 49.17  22.3G 07TK422   F51  C~2r7I      
2012 11  06.28479  01 25 56.630  +06 42 53.98  22.7G 07TK422   F51  C~2r7I      
2012 11  06.31463  01 25 56.428  +06 42 52.77  22.0G 07TK422   F51  C~2r7I      
2012 11  06.32956  01 25 56.268  +06 42 52.14  22.3G 07TK422   F51  C~2r7I      
2013 10  03.41197  01 43 02.784  +08 30 15.91  22.7G 07TK422   F51  C~2r7I      
2013 10  03.42727  01 43 02.641  +08 30 15.16  22.6G 07TK422   F51  C~2r7I      
2013 10  03.44240  01 43 02.513  +08 30 14.57  22.4G 07TK422   F51  C~2r7I      
2013 10  03.45761  01 43 02.401  +08 30 14.00  22.9G 07TK422   F51  C~2r7I      
2013 11  25.24145  01 36 10.797  +07 53 07.34  22.7G 07TK422   F51  C~2r7I      
2013 11  25.25653  01 36 10.715  +07 53 06.75  22.4G 07TK422   F51  C~2r7I      
2013 11  25.27155  01 36 10.637  +07 53 06.44  22.9G 07TK422   F51  C~2r7I      
2014 08  28.45709  01 58 52.223  +10 08 38.28  23.2G 07TK422   F51  C~2r7I      
2014 09  19.44551  01 56 59.605  +09 57 31.89  22.5G 07TK422   F51  C~2r7I      
2014 10  25.50978  01 52 20.210  +09 31 54.82  22.6G 07TK422   F51  C~2r7I      
2014 10  28.25425  01 51 57.32   +09 29 53.0   22.2R 07TK422   G37  C~1eNK      
2014 10  28.29618  01 51 56.97   +09 29 51.2         07TK422   G37  C~1eNK      
2014 10  28.30824  01 51 56.86   +09 29 50.5         07TK422   G37  C~1eNK      
2015 09  09.46741  02 09 57.367  +11 16 33.54  23.1G 07TK422   F51  C~2r7I      
2015 09  09.47966  02 09 57.300  +11 16 32.95  23.4G 07TK422   F51  C~2r7I      
2015 09  09.49193  02 09 57.236  +11 16 32.79  23.4G 07TK422   F51  C~2r7I      
2015 09  09.50424  02 09 57.170  +11 16 32.58  22.7G 07TK422   F51  C~2r7I      
2015 12  03.24183  01 59 34.968  +10 22 56.23  22.9G 07TK422   F51  C~2r7I      
2015 12  31.30409  01 57 39.724  +10 15 02.95  23.3G 07TK422   F51  C~2r7I      
2016 01  30.25554  01 57 58.048  +10 19 46.50  23.2G 07TK422   F51  C~2r7I      
2016 08  16.53502  02 22 48.671  +12 32 38.15  23.0G 07TK422   F51  C~2r7I      
2016 10  27.31791  02 16 06.643  +11 57 27.76  23.0G 07TK422   F51  C~2r7I      
2016 10  28.54411  02 15 56.337  +11 56 36.52  23.6G 07TK422   F51  C~2r7I      
2016 10  29.52195  02 15 48.137  +11 55 56.45  22.4G 07TK422   F51  C~2r7I      
2016 10  31.34952  02 15 32.853  +11 54 40.73  22.3G 07TK422   F51  C~2r7I      
2017 09  23.47451  02 32 12.035  +13 26 47.73  22.8G 07TK422   F51  C~2r7I      
2017 11  21.42188  02 24 33.642  +12 50 22.91  23.1G 07TK422   F51  C~2r7I      
2017 12  20.14720  02 21 32.165  +12 37 10.19  22.5R 07TK422   G37  C~2UvC      
2017 12  20.22336  02 21 31.816  +12 37 08.77        07TK422   G37  C~2UvC      
2018 01  12.28852  02 20 28.089  +12 33 43.17  21.6G 07TK422   F51  C~2r7I      

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    -0.24       0.00    -0.03
  2   0.0002      0.00    -0.12       0.00     1.62
  3   0.9941      0.00     0.06       0.00    -0.52
  4   0.9941      0.00     0.02       0.00    -0.58
  5   0.9941      0.00     0.20       0.00    -0.55
  6   6.9818      0.00     0.17       0.00    -0.34
  7   6.9818      0.00     0.28       0.00    -0.16
  8   7.0010      0.00    -0.08       0.00     0.05
  9   7.0010      0.00     0.18       0.00    -0.00
 10   7.0394      0.00     0.20       0.00    -0.19
 11   7.0394      0.00     0.08       0.00     0.05
 12   7.0585      0.00    -0.25       0.00    -0.20
 13   7.0585      0.00     0.16       0.00    -0.13
 14   7.0640      0.00    -0.04       0.00     0.05
 15   7.0640      0.00    -0.03       0.00    -0.23
 16   7.0777      0.00    -0.04       0.00    -0.07
 17   7.0777      0.00     0.05       0.00     0.09
 18   7.1377      0.00    -0.04       0.00     0.04
 19   7.1377      0.00     0.09       0.00    -0.07
 20   7.1404      0.00     0.10       0.00    -0.05
 21   7.1404      0.00    -0.07       0.00    -0.36
 22   8.1941      0.00    -0.16       0.00    -0.09
 23   8.1945      0.00    -0.28       0.00     1.02
 24   8.2490      0.00    -0.01       0.00     0.20
 25   8.2516      0.00     0.02       0.00     0.25
 26   8.2518      0.00     0.16       0.00     0.15
 27   9.9880      0.00    -0.12       0.00    -0.01
 28   9.9882      0.00    -0.12       0.00    -0.07
 29  10.0595      0.00     0.12       0.00     0.06
 30  10.0596      0.00    -0.09       0.00    -0.02
 31  10.0596      0.00    -0.03       0.00     0.05
 32  10.0596      0.00    -0.02       0.00    -0.06
 33  11.0041      0.00     0.01       0.00    -0.16
 34  11.0042      0.00     0.10       0.00     0.20
 35  11.0042      0.00     0.03       0.00     0.06
 36  11.0042      0.00    -0.13       0.00     0.18
 37  12.0474      0.00     0.02       0.00     0.21
 38  12.0474      0.00    -0.09       0.00    -0.17
 39  12.0717      0.00    -0.23       0.00     0.06
 40  12.0717      0.00    -0.05       0.00     0.09
 41  12.0718      0.00    -0.18       0.00    -0.30
 42  12.0718      0.00    -0.14       0.00    -0.10
 43  12.1262      0.00    -0.02       0.00     0.15
 44  12.1262      0.00     0.43       0.00     0.17
 45  12.1263      0.00    -0.22       0.00     0.15
 46  13.0327      0.00     0.36       0.00    -0.18
 47  13.0328      0.00     0.06       0.00    -0.24
 48  13.0328      0.00    -0.04       0.00    -0.15
 49  13.0329      0.00     0.12       0.00    -0.03
 50  13.1774      0.00    -0.30       0.00    -0.04
 51  13.1774      0.00    -0.10       0.00    -0.17
 52  13.1775      0.00     0.16       0.00    -0.03
 53  13.9336      0.00     0.08       0.00     0.17
 54  13.9938      0.00    -0.13       0.00    -0.07
 55  14.0926      0.00     0.16       0.00     0.26
 56  14.1001      0.00    -0.18       0.00     0.14
 57  14.1002      0.00    -0.11       0.00     0.18
 58  14.1002      0.00    -0.23       0.00     0.02
 59  14.9658      0.00     0.17       0.00     0.11
 60  14.9659      0.00     0.08       0.00    -0.14
 61  14.9659      0.00     0.04       0.00     0.04
 62  14.9659      0.00    -0.02       0.00     0.17
 63  15.1979      0.00    -0.04       0.00     0.15
 64  15.2747      0.00     0.02       0.00    -0.01
 65  15.3567      0.00    -0.09       0.00     0.14
 66  15.9023      0.00    -0.01       0.00     0.03
 67  16.0989      0.00    -0.15       0.00     0.04
 68  16.1022      0.00    -0.02       0.00    -0.35
 69  16.1049      0.00    -0.04       0.00     0.07
 70  16.1099      0.00     0.16       0.00    -0.17
 71  17.0055      0.00    -0.12       0.00     0.08
 72  17.1669      0.00     0.10       0.00    -0.01
 73  17.2456      0.00    -0.18       0.00     0.05
 74  17.2458      0.00    -0.05       0.00     0.03
 75  17.3089      0.00     0.63       0.00    -0.44

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.

07TK422    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        21.212    21.212    21.212
ecceobj         0.193     0.193     0.193
incobj          3.066     3.066     3.066
qmin           16.303    15.595    16.597
qmax           25.562    26.070    25.563
amean          20.700    21.021    21.099
amin           19.983    19.952    20.694
amax           21.282    21.395    21.283
emean           0.191     0.209     0.196
emin            0.182     0.190     0.190
emax            0.201     0.225     0.201
imean           3.444     3.251     2.575
imin            2.171     2.171     2.171
imax            4.319     4.227     3.110
excite_mean     0.201     0.217     0.201
fracstop        0.002     0.003     0.001
cjmean          3.078     3.063     3.066

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       229.7     225.0     210.1
kozaiamp         27.4      25.6       9.1