Orbit Fit and Astrometric record for 13XD26

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: 13XD26    
# Created Tue Oct 24 01:38:19 2017
# Orbit generated from Bernstein formalism
# Fitting   21 observations of   22
# Arc:   3.73y
# First observation: 2010/07/01
#  Last observation: 2014/03/24
Preliminary a, adot, b, bdot, g, gdot:
   0.000989   0.027685   0.000191  -0.015625   0.025867   0.000000
# Chi-squared of fit:    14.78 DOF:   36 RMS:  0.15
# Min/Max residuals:    -0.27    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.496224E-05  2.601734E-02 -8.971931E-06 -1.499583E-02  2.734355E-02 -1.356320E-03
# Covariance matrix:
  9.4658E-13 -6.6067E-13 -1.8208E-13  2.5848E-13 -3.1536E-13 -3.9602E-12
 -6.6067E-13  8.6489E-13  2.6935E-13 -3.5694E-13  4.1765E-14  5.3862E-12
 -1.8208E-13  2.6935E-13  5.2850E-13 -2.5752E-13  2.9106E-14  1.8086E-12
  2.5848E-13 -3.5694E-13 -2.5752E-13  2.1226E-13 -6.7413E-14 -2.4469E-12
 -3.1536E-13  4.1765E-14  2.9106E-14 -6.7413E-14  4.8631E-13  1.1175E-12
 -3.9602E-12  5.3862E-12  1.8086E-12 -2.4469E-12  1.1175E-12  3.7097E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.264623  164.634096   -0.923950   -0.023870    0.417449  2455378.778656
# Heliocentric elements and errors
Epoch:              2455370.5000  =  2010/06/23
Mean Anomaly:          348.65143 +/-     0.099
Argument of Peri:      187.47766 +/-     0.123
Long of Asc Node:      351.78110 +/-     0.000
Inclination:            30.24031 +/-     0.000
Eccentricity:         0.10568454 +/-    0.0001
Semi-Major Axis:     40.31946645 +/-    0.0054
Time of Perihelion: 2458318.3769 +/-      25.7
Perihelion:          36.05832228 +/-    0.0061
Aphelion:            44.58061061 +/-    0.0070
Period (y)              256.0238 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -35.04483145 +/-    0.0009
Ecliptic Y            8.67102341 +/-    0.0002
Ecliptic Z            2.08238828 +/-    0.0001
Ecliptic XDOT        -0.00064073 +/-    0.0000
Ecliptic YDOT        -0.00251909 +/-    0.0000
Ecliptic ZDOT        -0.00150683 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.16162606 +/-    0.0009
Geocenter to KBO     36.57169996 +/-    0.0009
# Hcoef:  7.02

The following table shows the complete astrometric record for 13XD26. 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 (13XD26) followed by the observatory code and reference code for the source of the astrometry.

2010 07  01.27789  11 08 29.640  +09 03 38.63  22.6w 13XD26    F51  C~1w3v      
2011 04  02.29940  11 14 45.892  +07 48 20.65  23.8w 13XD26    F51  C~1w3v      
2011 04  02.33071  11 14 45.698  +07 48 21.49  22.9w 13XD26    F51  C~1w3v      
2011 04  02.34581  11 14 45.605  +07 48 21.64  23.2w 13XD26    F51  C~1w3v      
2012 02  26.39881  11 22 16.048  +06 08 09.54  22.8w 13XD26    F51  C~1w3v      
2012 02  26.44284  11 22 15.821  +06 08 10.59  22.9w 13XD26    F51  C~1w3v      
2012 03  27.36849  11 19 31.740  +06 20 40.59  23.1w 13XD26    F51  C~1w3v      
2013 02  14.40262  11 27 32.430  +04 37 21.71  22.6w 13XD26    F51  C~1w3v      
2013 02  14.41718  11 27 32.368  +04 37 21.77  22.7w 13XD26    F51  C~1w3v      
2013 02  14.43182  11 27 32.281  +04 37 22.33  22.6w 13XD26    F51  C~1w3v      
2013 02  14.44657  11 27 32.213  +04 37 22.39  22.5w 13XD26    F51  C~1w3v      
2013 12  04.61220  11 34 04.607  +03 07 33.89  22.5w 13XD26    F51  C~1w3v      
2013 12  04.61747  11 34 04.610  +03 07 33.67  22.6w 13XD26    F51  C~1w3v      
2013 12  04.62799  11 34 04.628  +03 07 33.64  22.5w 13XD26    F51  C~1w3v      
2014 02  09.59287  11 32 13.579  +03 09 16.01  21.8w 13XD26    F51  C~1w3v      
2014 02  28.40694  11 30 38.851  +03 16 24.62  22.4w 13XD26    F51  C~1w3v      
2014 02  28.41930  11 30 38.780  +03 16 25.16  22.6w 13XD26    F51  C~1w3v      
2014 02  28.43181  11 30 38.705  +03 16 25.52  22.7w 13XD26    F51  C~1w3v      
2014 02  28.44420  11 30 38.644  +03 16 25.67  22.7w 13XD26    F51  C~1w3v      
2014 03  05.52187  11 30 11.000  +03 18 34.48  22.1w 13XD26    F51  C~1w3v      
2014 03  24.35247  11 28 27.473  +03 26 36.93  22.6w 13XD26    F51  C~1w3v      
2014 03  24.36393  11 28 27.416  +03 26 37.03  22.4w 13XD26    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     0.02       0.00     0.06
  2   0.7530   6906.02 (   0.66)  -1981.55 (   0.02)
  3   0.7531   6903.04     0.11   -1981.91     0.02
  4   0.7531   6901.70    -0.04   -1982.31    -0.21
  5   1.6567  15463.29    -0.20   -4875.25    -0.10
  6   1.6569  15459.74     0.04   -4875.62    -0.08
  7   1.7388  12903.25    -0.26   -5151.82     0.11
  8   2.6259  22023.28     0.05   -8027.53     0.25
  9   2.6260  22022.39     0.31   -8027.85     0.06
 10   2.6260  22020.96     0.03   -8027.85     0.19
 11   2.6261  22019.99     0.22   -8028.20    -0.03
 12   3.4287  29687.51    -0.03  -10677.95    -0.01
 13   3.4287  29687.65    -0.06  -10678.14    -0.15
 14   3.4287  29687.91    -0.13  -10678.06     0.02
 15   3.6121  28091.13     0.20  -11249.02     0.35
 16   3.6636  26591.66     0.05  -11417.52    -0.23
 17   3.6636  26590.45    -0.09  -11417.44    -0.03
 18   3.6637  26589.25    -0.20  -11417.56    -0.03
 19   3.6637  26588.34    -0.04  -11417.78    -0.13
 20   3.6776  26149.75    -0.27  -11463.31     0.07
 21   3.7292  24509.23     0.07  -11633.04     0.01
 22   3.7292  24508.39     0.23  -11633.29    -0.13

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.

13XD26    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.399    40.415    40.383
ecceobj         0.106     0.107     0.106
incobj         30.235    30.235    30.236
qmin           35.110    35.118    35.092
qmax           46.212    46.282    46.174
amean          40.524    40.546    40.510
amin           40.201    40.208    40.188
amax           40.859    40.901    40.849
emean           0.116     0.116     0.115
emin            0.100     0.101     0.100
emax            0.131     0.132     0.131
imean          30.637    30.640    30.642
imin           30.225    30.242    30.209
imax           31.001    31.001    30.994
excite_mean     0.523     0.523     0.523
fracstop        1.000     1.000     1.000
cjmean          2.726     2.726     2.726

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       182.7     182.4     183.0
kozaiamp        179.9     180.0     180.0