Orbit Fit and Astrometric record for 03TL58

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: 03TL58    
# Created Thu Oct 18 01:08:17 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   17 observations of   17
# Arc:  12.10y
# First observation: 2003/10/03
#  Last observation: 2015/11/08
# Chi-squared of fit:    14.79 DOF:   28 RMS:  0.16
# Min/Max residuals:    -0.38    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.573444E-05  2.333086E-02 -1.894451E-06 -3.168808E-03  2.395628E-02 -2.688288E-04
# Covariance matrix:
  4.2274E-13 -1.9731E-13 -1.6619E-14  2.4871E-14  2.8494E-13 -5.9576E-13
 -1.9731E-13  2.2690E-13  2.0106E-14 -3.0790E-14 -5.2906E-14  7.4771E-13
 -1.6619E-14  2.0106E-14  1.1412E-13 -1.5497E-14 -4.5590E-15  6.7994E-14
  2.4871E-14 -3.0790E-14 -1.5497E-14  9.9921E-15  6.0917E-15 -1.0423E-13
  2.8494E-13 -5.2906E-14 -4.5590E-15  6.0917E-15  3.8344E-13 -1.3527E-13
 -5.9576E-13  7.4771E-13  6.7994E-14 -1.0423E-13 -1.3527E-13  2.5326E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.354231   73.847597    0.903705    0.002730   -0.435318  2452915.963913
# Heliocentric elements and errors
Epoch:              2452916.5000  =  2003/10/04
Mean Anomaly:          316.80795 +/-     0.108
Argument of Peri:      224.64716 +/-     0.121
Long of Asc Node:      255.20986 +/-     0.000
Inclination:             7.72598 +/-     0.000
Eccentricity:         0.04948048 +/-    0.0001
Semi-Major Axis:     43.71398828 +/-    0.0054
Time of Perihelion: 2465582.2362 +/-      35.9
Perihelion:          41.55099900 +/-    0.0057
Aphelion:            45.87697755 +/-    0.0062
Period (y)              289.0273 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.59780450 +/-    0.0003
Ecliptic Y           40.26446344 +/-    0.0010
Ecliptic Z            0.25800078 +/-    0.0000
Ecliptic XDOT        -0.00257395 +/-    0.0000
Ecliptic YDOT         0.00070847 +/-    0.0000
Ecliptic ZDOT        -0.00036217 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.19004834 +/-    0.0010
Geocenter to KBO     41.74273378 +/-    0.0011
# Hcoef:  7.19

The following table shows the complete astrometric record for 03TL58. 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 (03TL58) followed by the observatory code and reference code for the source of the astrometry.

2003 10  03.46317  04 49 44.25   +22 48 50.2   23.0i 03TL58    568  Cq9898      
2003 10  03.51380  04 49 44.16   +22 48 49.9         03TL58    568  Cq9898      
2003 10  03.57522  04 49 44.04   +22 48 49.7   23.0i 03TL58    568  Cq9898      
2003 12  16.32799  04 44 31.59   +22 37 49.7   23.5g 03TL58    568  Cq9898      
2003 12  16.35445  04 44 31.45   +22 37 49.4   23.4g 03TL58    568  Cq9898      
2003 12  16.38076  04 44 31.31   +22 37 49.1   23.6g 03TL58    568  Cq9898      
2003 12  17.39975  04 44 26.03   +22 37 37.5         03TL58    568  Cq9898      
2003 12  17.43258  04 44 25.89   +22 37 37.1         03TL58    568  Cq9898      
2004 12  11.37788  04 50 48.98   +22 37 40.4   23.0r 03TL58    568  Cq9898      
2004 12  11.40659  04 50 48.83   +22 37 40.1   23.0r 03TL58    568  Cq9898      
2004 12  11.43951  04 50 48.65   +22 37 39.8   23.3r 03TL58    568  Cq9898      
2004 12  12.30124  04 50 44.14   +22 37 30.9   23.2r 03TL58    568  Cq9898      
2005 10  04.41476  05 01 24.71   +22 44 46.9         03TL58    675  Cq9898      
2005 10  04.46827  05 01 24.63   +22 44 46.4         03TL58    675  Cq9898      
2005 10  04.50969  05 01 24.55   +22 44 45.9   22.8R 03TL58    675  Cq9898      
2015 11  08.40742  05 58 44.28   +21 35 00.2   22.4R 03TL58    G37  C~1dcC      
2015 11  08.47811  05 58 44.02   +21 34 59.2         03TL58    G37  C~1dcC      

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    -0.05       0.00    -0.05
  2   0.0001      0.00     0.02       0.00    -0.14
  3   0.0003      0.00    -0.03       0.00    -0.08
  4   0.2022      0.00     0.20       0.00     0.10
  5   0.2023      0.00     0.19       0.00     0.09
  6   0.2024      0.00     0.16       0.00     0.09
  7   0.2052      0.00    -0.27       0.00    -0.11
  8   0.2053      0.00     0.20       0.00    -0.14
  9   1.1907      0.00    -0.08       0.00    -0.01
 10   1.1908      0.00    -0.02       0.00    -0.01
 11   1.1909      0.00    -0.07       0.00     0.04
 12   1.1933      0.00     0.18       0.00     0.24
 13   2.0040      0.00    -0.04       0.00     0.33
 14   2.0041      0.00     0.18       0.00     0.05
 15   2.0042      0.00     0.08       0.00    -0.28
 16  12.0984      0.00     0.06       0.00     0.35
 17  12.0986      0.00     0.02       0.00    -0.38

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.

03TL58    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.874    43.874    43.874
ecceobj         0.049     0.049     0.049
incobj          7.716     7.716     7.716
qmin           40.807    40.808    40.799
qmax           46.631    46.627    46.634
amean          43.596    43.596    43.596
amin           43.263    43.261    43.260
amax           43.949    43.949    43.950
emean           0.046     0.046     0.046
emin            0.031     0.031     0.031
emax            0.061     0.061     0.061
imean           9.406     9.406     9.406
imin            8.785     8.783     8.785
imax            9.985     9.985     9.985
excite_mean     0.170     0.170     0.170
fracstop        1.000     1.000     1.000
cjmean          3.062     3.062     3.062

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       180.4     180.6     180.3
kozaiamp        180.0     180.0     180.0