Orbit Fit and Astrometric record for 13TH159

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: 13TH159   
# Created Fri Dec 15 02:37:54 2017
# Orbit generated from Bernstein formalism
# Fitting   17 observations of   17
# Arc:   1.19y
# First observation: 2013/10/03
#  Last observation: 2014/12/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.000014   0.021495  -0.000000   0.011915   0.024948   0.000000
# Chi-squared of fit:    12.16 DOF:   28 RMS:  0.15
# Min/Max residuals:    -0.24    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.291649E-05  2.162973E-02  8.088340E-06  1.197990E-02  2.512391E-02  2.479164E-03
# Covariance matrix:
  2.3311E-13  4.9768E-14 -1.4763E-14  1.8648E-13  2.8853E-13  1.2573E-11
  4.9768E-14  1.5490E-12 -1.7567E-13  2.9824E-12  1.4313E-12  1.9700E-10
 -1.4763E-14 -1.7567E-13  1.8093E-13 -6.4292E-13 -1.8787E-13 -3.2871E-11
  1.8648E-13  2.9824E-12 -6.4292E-13  9.1462E-12  3.1087E-12  5.8174E-10
  2.8853E-13  1.4313E-12 -1.8787E-13  3.1087E-12  1.7427E-12  2.0567E-10
  1.2573E-11  1.9700E-10 -3.2871E-11  5.8174E-10  2.0567E-10  3.8333E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
  -18.644105   33.305871    0.398432   -0.293343   -0.869780  2456568.729979
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           79.45869 +/-     0.834
Argument of Peri:      235.40081 +/-     0.110
Long of Asc Node:       62.48332 +/-     0.001
Inclination:            33.56121 +/-     0.001
Eccentricity:         0.09304501 +/-    0.0079
Semi-Major Axis:     41.02241395 +/-    0.0652
Time of Perihelion: 2435378.3927 +/-     216.6
Perihelion:          37.20548293 +/-    0.3298
Aphelion:            44.83934498 +/-    0.3322
Period (y)              262.7484 +/-      0.63
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.50479835 +/-    0.0017
Ecliptic Y           20.88303740 +/-    0.0011
Ecliptic Z          -12.72420887 +/-    0.0007
Ecliptic XDOT        -0.00073771 +/-    0.0000
Ecliptic YDOT         0.00233831 +/-    0.0000
Ecliptic ZDOT         0.00115076 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.67638945 +/-    0.0015
Geocenter to KBO     39.80272226 +/-    0.0021
# Hcoef:  8.99

The following table shows the complete astrometric record for 13TH159. 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 (13TH159) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.229201 02 29 25.87   -04 57 12.8   24.4i 13TH159   W84  C~1VHI      
2013 10  03.274792 02 29 25.64   -04 57 13.7   25.3r 13TH159   W84  C~1VHI      
2013 10  03.279769 02 29 25.64   -04 57 14.3   24.8r 13TH159   W84  C~1VHI      
2013 10  03.284792 02 29 25.63   -04 57 14.3   24.5r 13TH159   W84  C~1VHI      
2013 10  11.135949 02 28 50.14   -05 00 40.5   25.6i 13TH159   W84  C~1VHI      
2013 10  11.192720 02 28 49.87   -05 00 42.0   24.6r 13TH159   W84  C~1VHI      
2013 10  11.202743 02 28 49.81   -05 00 42.2   24.3r 13TH159   W84  C~1VHI      
2013 12  01.130856 02 24 41.84   -05 11 45.4   24.1i 13TH159   W84  C~1VHI      
2013 12  01.168310 02 24 41.67   -05 11 45.2   24.5r 13TH159   W84  C~1VHI      
2013 12  20.096412 02 23 31.75   -05 08 52.3   24.3i 13TH159   W84  C~1VHI      
2013 12  20.121875 02 23 31.69   -05 08 51.9   24.2r 13TH159   W84  C~1VHI      
2014 11  26.100428 02 28 51.25   -04 08 31.5   24.4r 13TH159   W84  C~1VHI      
2014 11  26.115833 02 28 51.17   -04 08 31.4   24.2i 13TH159   W84  C~1VHI      
2014 11  26.120336 02 28 51.17   -04 08 31.4   24.3i 13TH159   W84  C~1VHI      
2014 11  26.129329 02 28 51.12   -04 08 31.5   23.8i 13TH159   W84  C~1VHI      
2014 12  10.061852 02 27 52.29   -04 07 55.8   24.9r 13TH159   W84  C~1VHI      
2014 12  10.071759 02 27 52.28   -04 07 55.6   25.0r 13TH159   W84  C~1VHI      

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     0.14       0.00    -0.11
  2   0.0001     -3.54    -0.14       0.30     0.35
  3   0.0001     -3.74     0.01      -0.27    -0.19
  4   0.0002     -3.88     0.23      -0.22    -0.13
  5   0.0216   -572.63    -0.02     -17.69     0.12
  6   0.0218   -576.93    -0.05     -17.76     0.05
  7   0.0218   -577.84    -0.20     -17.65     0.16
  8   0.1613  -4292.85     0.10     589.70    -0.24
  9   0.1614  -4295.18     0.04     590.74    -0.11
 10   0.2132  -5223.72    -0.19    1100.56     0.08
 11   0.2133  -5224.44     0.08    1101.24    -0.02
 12   1.1468    486.55    -0.05    2926.85     0.03
 13   1.1468    485.45    -0.13    2927.34     0.19
 14   1.1469    485.45     0.17    2927.34     0.10
 15   1.1469    484.71     0.03    2927.50     0.06
 16   1.1850   -333.29    -0.23    3254.62    -0.16
 17   1.1851   -333.36     0.22    3254.86    -0.18

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.

13TH159    quality flag:2

Type:       SCATEXTD  CENTAURS  SCATEXTD

axisobj        41.245    41.475    41.055
ecceobj         0.097     0.118     0.075
incobj         33.548    33.549    33.548
qmin           36.465    28.664    37.213
qmax           45.796    54.217    44.620
amean          40.996    41.188    40.806
amin           40.679    40.760    40.499
amax           41.343    41.684    41.141
emean           0.093     0.230     0.073
emin            0.079     0.080     0.060
emax            0.108     0.304     0.085
imean          32.369    30.265    32.359
imin           32.021    28.454    32.039
imax           32.693    32.762    32.677
excite_mean     0.543     0.557     0.540
fracstop        1.000     1.000     1.000
cjmean          2.697     2.693     2.699

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       181.6     206.1     181.0
kozaiamp        179.9     180.0     180.0