Orbit Fit and Astrometric record for 13TM159

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: 13TM159   
# Created Sat Dec 16 02:37:57 2017
# Orbit generated from Bernstein formalism
# Fitting   18 observations of   18
# Arc:   3.07y
# First observation: 2010/10/30
#  Last observation: 2013/11/25
Preliminary a, adot, b, bdot, g, gdot:
  -0.000198   0.028559   0.000006   0.000157   0.026789   0.000000
# Chi-squared of fit:    15.98 DOF:   30 RMS:  0.17
# Min/Max residuals:    -0.70    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.765860E-05  2.834663E-02  4.610432E-07  1.636197E-04  2.622353E-02 -1.738581E-03
# Covariance matrix:
  7.1555E-13 -6.3628E-13  9.0262E-16 -2.5296E-15 -3.8460E-13 -4.6843E-12
 -6.3628E-13  1.1961E-12 -6.6427E-15  9.7486E-15  3.5058E-13  1.1732E-11
  9.0262E-16 -6.6427E-15  4.4179E-13 -1.6352E-13  3.9473E-15 -7.6038E-14
 -2.5296E-15  9.7486E-15 -1.6352E-13  7.4114E-14 -1.9665E-15  1.0740E-13
 -3.8460E-13  3.5058E-13  3.9473E-15 -1.9665E-15  8.6172E-13  2.8421E-12
 -4.6843E-12  1.1732E-11 -7.6038E-14  1.0740E-13  2.8421E-12  1.2355E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.769925   20.039097   -0.286778   -0.160874   -0.934230  2455499.868506
# Heliocentric elements and errors
Epoch:              2455490.5000  =  2010/10/21
Mean Anomaly:          345.41182 +/-     0.100
Argument of Peri:      293.36387 +/-     0.146
Long of Asc Node:      107.92220 +/-     0.003
Inclination:             9.54208 +/-     0.000
Eccentricity:         0.17359748 +/-    0.0002
Semi-Major Axis:     46.82226654 +/-    0.0079
Time of Perihelion: 2460232.6541 +/-      32.4
Perihelion:          38.69403902 +/-    0.0099
Aphelion:            54.95049407 +/-    0.0119
Period (y)              320.3958 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.10176749 +/-    0.0012
Ecliptic Y           13.47121321 +/-    0.0005
Ecliptic Z           -6.47098027 +/-    0.0002
Ecliptic XDOT        -0.00117957 +/-    0.0000
Ecliptic YDOT         0.00272638 +/-    0.0000
Ecliptic ZDOT         0.00004763 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.07281391 +/-    0.0012
Geocenter to KBO     38.13368723 +/-    0.0013
# Hcoef:  6.67

The following table shows the complete astrometric record for 13TM159. 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 (13TM159) followed by the observatory code and reference code for the source of the astrometry.

2010 10  30.36774  01 28 41.631  -01 13 26.88  22.9w 13TM159   F51  C~1w3v      
2010 10  30.39602  01 28 41.511  -01 13 27.27  22.9w 13TM159   F51  C~1w3v      
2011 09  23.47801  01 37 37.046  -00 18 45.96  23.0w 13TM159   F51  C~1w3v      
2011 09  23.49345  01 37 36.989  -00 18 46.70  22.7w 13TM159   F51  C~1w3v      
2012 10  17.39623  01 41 46.869  +00 06 12.50  22.4w 13TM159   F51  C~1w3v      
2012 10  17.40963  01 41 46.799  +00 06 12.26  22.5w 13TM159   F51  C~1w3v      
2012 10  17.42304  01 41 46.748  +00 06 11.90  22.6w 13TM159   F51  C~1w3v      
2012 10  17.43657  01 41 46.670  +00 06 11.39  22.3w 13TM159   F51  C~1w3v      
2013 10  03.42939  01 48 58.133  +00 50 22.76  22.2w 13TM159   F51  C~1w3v      
2013 10  03.44454  01 48 58.082  +00 50 22.55  22.3w 13TM159   F51  C~1w3v      
2013 10  03.45976  01 48 57.994  +00 50 21.99  22.6w 13TM159   F51  C~1w3v      
2013 10  23.44907  01 47 22.814  +00 40 53.79  21.5i 13TM159   F51  C~1w3v      
2013 10  23.46190  01 47 22.789  +00 40 53.86  21.7i 13TM159   F51  C~1w3v      
2013 10  27.38618  01 47 03.774  +00 39 14.12  22.8w 13TM159   F51  C~1w3v      
2013 11  25.24354  01 44 55.681  +00 30 19.64  22.6w 13TM159   F51  C~1w3v      
2013 11  25.25860  01 44 55.616  +00 30 19.54  22.5w 13TM159   F51  C~1w3v      
2013 11  25.27363  01 44 55.561  +00 30 19.19  22.6w 13TM159   F51  C~1w3v      
2013 11  25.28863  01 44 55.508  +00 30 19.14  22.6w 13TM159   F51  C~1w3v      

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    -0.12       0.00    -0.07
  2   0.0001     -1.81     0.18       0.31     0.08
  3   0.8983   8679.83    -0.14      38.80     0.14
  4   0.8984   8678.75    -0.11      38.44    -0.16
  5   1.9659  12726.62     0.03      25.75    -0.06
  6   1.9659  12725.55     0.02      25.92     0.08
  7   1.9659  12724.71     0.24      25.87     0.00
  8   1.9660  12723.43     0.03      25.83    -0.06
  9   2.9269  19761.10    -0.00      62.99     0.02
 10   2.9270  19760.30     0.36      63.08     0.14
 11   2.9270  19758.86     0.07      63.05     0.15
 12   2.9817  18209.36    -0.70      70.17    -0.07
 13   2.9818  18209.03    -0.01      70.38     0.09
 14   2.9925  17904.91     0.12      84.64     0.15
 15   3.0715  15909.87     0.04     308.55    -0.11
 16   3.0716  15908.92    -0.03     308.83    -0.01
 17   3.0716  15908.02    -0.05     308.81    -0.20
 18   3.0717  15907.26     0.07     309.06    -0.12

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.

13TM159    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        46.926    46.949    46.903
ecceobj         0.175     0.176     0.175
incobj          9.543     9.543     9.543
qmin           37.760    37.726    37.764
qmax           55.641    55.723    55.703
amean          46.522    46.544    46.499
amin           46.121    46.147    46.105
amax           47.018    47.023    46.978
emean           0.172     0.172     0.172
emin            0.158     0.159     0.158
emax            0.185     0.186     0.186
imean           8.044     8.046     8.043
imin            7.434     7.436     7.433
imax            8.611     8.617     8.615
excite_mean     0.222     0.222     0.222
fracstop        1.000     1.000     1.000
cjmean          3.072     3.072     3.072

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       183.1     183.1     182.9
kozaiamp        179.9     179.9     179.9