Orbit Fit and Astrometric record for 03TK58

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: 03TK58    
# Created Tue Oct 24 01:37:25 2017
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   26
# Arc:  11.38y
# First observation: 2003/10/03
#  Last observation: 2015/02/18
Preliminary a, adot, b, bdot, g, gdot:
   0.000132   0.020043   0.000004   0.001167   0.022425   0.000000
# Chi-squared of fit:    29.61 DOF:   46 RMS:  0.19
# Min/Max residuals:    -0.61    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.345936E-05  1.992892E-02  1.129957E-07  1.162682E-03  2.213340E-02  9.406208E-04
# Covariance matrix:
  2.8988E-13 -7.1935E-14  4.3771E-15 -5.2286E-15  1.7340E-13 -3.9994E-13
 -7.1935E-14  6.8088E-14 -4.1446E-15  4.4587E-15  3.8290E-15  3.3581E-13
  4.3771E-15 -4.1446E-15  8.6088E-14 -1.2191E-14  2.9422E-16 -2.2201E-14
 -5.2286E-15  4.4587E-15 -1.2191E-14  4.9983E-15 -9.4161E-16  2.4174E-14
  1.7340E-13  3.8290E-15  2.9422E-16 -9.4161E-16  2.1310E-13 -7.8313E-14
 -3.9994E-13  3.3581E-13 -2.2201E-14  2.4174E-14 -7.8313E-14  1.8240E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.301371   73.664385    0.902308    0.002344   -0.438208  2452915.963913
# Heliocentric elements and errors
Epoch:              2452910.5000  =  2003/09/28
Mean Anomaly:          154.80206 +/-     0.075
Argument of Peri:      207.51424 +/-     0.071
Long of Asc Node:       67.44198 +/-     0.001
Inclination:             3.35652 +/-     0.000
Eccentricity:         0.06071764 +/-    0.0001
Semi-Major Axis:     43.22810087 +/-    0.0035
Time of Perihelion: 2408270.7346 +/-      21.0
Perihelion:          40.60339242 +/-    0.0040
Aphelion:            45.85280931 +/-    0.0043
Period (y)              284.2218 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           13.69299901 +/-    0.0003
Ecliptic Y           43.52637994 +/-    0.0009
Ecliptic Z            0.23765749 +/-    0.0000
Ecliptic XDOT        -0.00233804 +/-    0.0000
Ecliptic YDOT         0.00079834 +/-    0.0000
Ecliptic ZDOT         0.00014460 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.63003894 +/-    0.0009
Geocenter to KBO     45.18059173 +/-    0.0009
# Hcoef:  7.04

The following table shows the complete astrometric record for 03TK58. 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 (03TK58) followed by the observatory code and reference code for the source of the astrometry.

2003 10  03.46317  04 48 58.57   +22 44 21.7   23.6i 03TK58    568  Cq9898      
2003 10  03.51380  04 48 58.47   +22 44 21.6   23.4i 03TK58    568  Cq9898      
2003 10  03.57522  04 48 58.36   +22 44 21.3   23.4i 03TK58    568  Cq9898      
2003 12  16.32799  04 44 03.15   +22 36 47.4   23.6g 03TK58    568  Cq9898      
2003 12  16.35445  04 44 03.03   +22 36 47.2   23.6g 03TK58    568  Cq9898      
2003 12  16.38076  04 44 02.91   +22 36 47.0   23.8g 03TK58    568  Cq9898      
2003 12  17.43258  04 43 57.81   +22 36 38.6         03TK58    568  Cq9898      
2003 12  21.201740 04 43 39.82   +22 36 07.6   23.0V 03TK58    645  C~2Jx9      
2003 12  21.202570 04 43 39.81   +22 36 07.6   22.5V 03TK58    645  C~2Jx9      
2003 12  21.205057 04 43 39.80   +22 36 07.5   23.4V 03TK58    645  C~2Jx9      
2004 12  11.37599  04 49 19.86   +22 50 01.9   23.6r 03TK58    568  Cq9898      
2004 12  11.40470  04 49 19.72   +22 50 01.8   23.6r 03TK58    568  Cq9898      
2004 12  11.43762  04 49 19.56   +22 50 01.4   23.4r 03TK58    568  Cq9898      
2004 12  12.29935  04 49 15.30   +22 49 54.9   23.6r 03TK58    568  Cq9898      
2005 11  04.49378  04 57 11.00   +23 06 03.4   23.5R 03TK58    695  Cq9898      
2005 11  04.52749  04 57 10.87   +23 06 03.2         03TK58    695  Cq9898      
2005 11  06.44880  04 57 03.01   +23 05 53.5   23.5R 03TK58    695  Cq9898      
2006 01  31.246629 04 50 54.33   +22 57 00.0   23.2V 03TK58    645  C~2Jx9      
2006 01  31.247458 04 50 54.32   +22 57 00.0   22.7V 03TK58    645  C~2Jx9      
2006 01  31.249946 04 50 54.34   +22 56 59.9   24.2V 03TK58    645  C~2Jx9      
2007 11  08.31077  05 06 50.06   +23 27 25.8         03TK58    695  Cy4000      
2007 11  08.38332  05 06 49.75   +23 27 25.7         03TK58    695  Cy4000      
2007 11  09.38657  05 06 45.59   +23 27 21.5         03TK58    695  Cy4000      
2015 02  18.12903  05 34 39.21   +24 21 18.8   23.0R 03TK58    695  C~1M68      
2015 02  18.17383  05 34 39.13   +24 21 18.8         03TK58    695  C~1M68      
2015 02  18.22112  05 34 39.05   +24 21 18.7         03TK58    695  C~1M68      

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     0.16       0.00     0.15
  2   0.0001     -1.39     0.06       0.07     0.14
  3   0.0003     -2.93     0.09      -0.04    -0.05
  4   0.2022  -4113.98    -0.21      62.12     0.23
  5   0.2023  -4115.65    -0.06      62.14     0.22
  6   0.2024  -4117.32     0.07      62.15     0.22
  7   0.2053  -4188.47    -0.01      62.98     0.43
  8   0.2156  -4439.61     0.13      64.61     0.01
  9   0.2156  -4439.75     0.05      64.62     0.03
 10   0.2156  -4439.90     0.07      64.54    -0.05
 11   1.1907    333.43    -0.26     302.07    -0.04
 12   1.1908    331.50    -0.18     302.21     0.07
 13   1.1909    329.25    -0.12     302.08    -0.08
 14   1.1933    270.01    -0.26     302.74     0.10
 15   2.0891   6910.06    -0.09     515.02    -0.01
 16   2.0892   6908.25     0.02     515.01    -0.04
 17   2.0944   6799.27    -0.05     517.03     0.10
 18   2.3293   1679.49     0.12     561.34    -0.17
 19   2.3293   1679.36     0.01     561.35    -0.15
 20   2.3293   1679.62     0.35     561.22    -0.28
 21   4.0981  15000.48     0.13    1001.10    -0.61
 22   4.0983  14996.20     0.06    1001.39    -0.41
 23   4.1011  14938.51    -0.02    1002.41    -0.42
 24  11.3776  38463.92    -0.04    2734.01     0.15
 25  11.3777  38462.79    -0.03    2734.05     0.23
 26  11.3778  38461.66     0.02    2733.99     0.22

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.

03TK58    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.394    43.405    43.384
ecceobj         0.060     0.060     0.060
incobj          3.347     3.348     3.347
qmin           39.766    39.790    39.792
qmax           46.703    46.757    46.677
amean          43.149    43.160    43.133
amin           42.813    42.826    42.797
amax           43.509    43.521    43.490
emean           0.055     0.055     0.055
emin            0.033     0.033     0.032
emax            0.075     0.075     0.074
imean           1.394     1.401     1.374
imin            0.296     0.311     0.261
imax            2.381     2.381     2.382
excite_mean     0.061     0.061     0.061
fracstop        1.000     1.000     1.000
cjmean          3.087     3.087     3.087

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       196.0     196.1     188.3
kozaiamp        180.0     180.0     180.0