Orbit Fit and Astrometric record for 10SS43

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: 10SS43    
# Created Mon Dec 11 02:37:41 2017
# Orbit generated from Bernstein formalism
# Fitting   21 observations of   22
# Arc:   2.98y
# First observation: 2010/09/17
#  Last observation: 2013/09/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000049   0.022701  -0.000052   0.012373   0.025300   0.000000
# Chi-squared of fit:    11.10 DOF:   36 RMS:  0.13
# Min/Max residuals:    -0.31    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.395579E-05  2.238758E-02  7.171051E-06  1.219571E-02  2.508977E-02 -4.722719E-03
# Covariance matrix:
  2.8895E-13 -1.8091E-13  7.9816E-15 -2.8460E-14  2.9094E-13 -8.6354E-13
 -1.8091E-13  4.7433E-13 -7.3039E-14  2.2260E-13  1.8310E-13  5.9743E-12
  7.9816E-15 -7.3039E-14  1.6792E-13 -1.1124E-13 -6.9394E-14 -1.1242E-12
 -2.8460E-14  2.2260E-13 -1.1124E-13  1.8372E-13  1.9811E-13  3.3972E-12
  2.9094E-13  1.8310E-13 -6.9394E-14  1.9811E-13  1.1798E-12  4.9948E-12
 -8.6354E-13  5.9743E-12 -1.1242E-12  3.3972E-12  4.9948E-12  9.0481E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   20.423587   13.821525    0.332457    0.329381   -0.884624  2455457.013676
# Heliocentric elements and errors
Epoch:              2455450.5000  =  2010/09/11
Mean Anomaly:          309.91967 +/-     0.027
Argument of Peri:      109.81492 +/-     0.045
Long of Asc Node:      341.32087 +/-     0.001
Inclination:            34.42175 +/-     0.000
Eccentricity:         0.21840116 +/-    0.0004
Semi-Major Axis:     45.57238805 +/-    0.0124
Time of Perihelion: 2471082.5441 +/-       5.6
Perihelion:          35.61932558 +/-    0.0202
Aphelion:            55.52545053 +/-    0.0233
Period (y)              307.6528 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.26990517 +/-    0.0016
Ecliptic Y            8.82500955 +/-    0.0004
Ecliptic Z           13.90864571 +/-    0.0006
Ecliptic XDOT        -0.00150314 +/-    0.0000
Ecliptic YDOT         0.00215227 +/-    0.0000
Ecliptic ZDOT         0.00106731 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.74772448 +/-    0.0015
Geocenter to KBO     39.85688271 +/-    0.0017
# Hcoef:  6.01

The following table shows the complete astrometric record for 10SS43. 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 (10SS43) followed by the observatory code and reference code for the source of the astrometry.

2010 09  17.51291  00 16 44.583  +24 09 20.42  21.7r 10SS43    F51  C~1w3k      
2010 09  17.51432  00 16 44.574  +24 09 20.39  21.5r 10SS43    F51  C~1w3k      
2010 09  17.52501  00 16 44.524  +24 09 20.32  21.8r 10SS43    F51  C~1w3k      
2010 09  17.52641  00 16 44.510  +24 09 20.20  21.6r 10SS43    F51  C~1w3k      
2010 10  15.25684  00 14 18.573  +23 58 32.21  21.3r 10SS43    F51  C~1w3k      
2010 10  15.26880  00 14 18.548  +23 58 32.01  21.9r 10SS43    F51  C~1w3k      
2010 11  03.36277  00 12 50.091  +23 47 56.24  22.0i 10SS43    F51  C~1w3k      
2010 11  03.37477  00 12 50.034  +23 47 56.12  21.9i 10SS43    F51  C~1w3k      
2011 09  21.51179  00 20 16.623  +25 19 11.74  21.4r 10SS43    F51  C~1w3k      
2011 09  21.52447  00 20 16.565  +25 19 11.75  21.4i 10SS43    F51  C~1w3k      
2011 09  21.53574  00 20 16.495  +25 19 11.48  21.6i 10SS43    F51  C~1w3k      
2011 09  25.34406  00 19 56.023  +25 18 03.41  22.0g 10SS43    F51  C~1w3k      
2011 10  19.26441  00 17 49.330  +25 07 42.20  21.9w 10SS43    F51  C~1w3k      
2011 10  19.27827  00 17 49.259  +25 07 41.71  21.8w 10SS43    F51  C~1w3k      
2011 10  19.29215  00 17 49.189  +25 07 41.38  21.9w 10SS43    F51  C~1w3k      
2011 10  19.30612  00 17 49.106  +25 07 40.77  22.0w 10SS43    F51  C~1w3k      
2012 10  05.51218  00 22 54.379  +26 25 21.76  21.1i 10SS43    F51  C~1w3k      
2013 08  28.55981  00 30 19.352  +27 43 54.37  21.3i 10SS43    F51  C~1w3k      
2013 08  28.57196  00 30 19.290  +27 43 54.48  21.3i 10SS43    F51  C~1w3k      
2013 09  04.55356  00 29 46.321  +27 44 04.66  22.0g 10SS43    F51  C~1w3k      
2013 09  08.55065  00 29 26.342  +27 43 52.20  22.2g 10SS43    F51  C~1w3k      
2013 09  08.58946  00 29 26.160  +27 43 51.76  21.6r 10SS43    F51  C~1w3k      

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     0.03       0.00     0.11
  2   0.0000     -0.12     0.01       0.02     0.11
  3   0.0000     -0.77     0.13       0.25     0.15
  4   0.0000     -1.00     0.01       0.22     0.10
  5   0.0760  -2085.66     0.02     263.83    -0.11
  6   0.0760  -2086.06 (   0.54)    263.79 (  -0.18)
  7   0.1283  -3454.91    -0.18     209.09    -0.25
  8   0.1283  -3455.67    -0.13     209.32     0.06
  9   1.0103   4383.98    -0.15    2588.94    -0.20
 10   1.0103   4383.27     0.08    2589.28    -0.06
 11   1.0103   4382.29    -0.06    2589.43    -0.09
 12   1.0208   4101.50    -0.21    2643.54    -0.02
 13   1.0862   2279.65     0.20    2801.35     0.03
 14   1.0863   2278.57     0.17    2801.31    -0.02
 15   1.0863   2277.57     0.23    2801.41     0.07
 16   1.0864   2276.29     0.01    2801.34    -0.01
 17   2.0506   7974.06    -0.20    5319.94     0.09
 18   2.9461  15348.36    -0.00    7222.26     0.03
 19   2.9461  15347.65    -0.05    7222.69     0.12
 20   2.9652  14948.42    -0.05    7407.39     0.20
 21   2.9761  14699.10     0.01    7502.38     0.02
 22   2.9763  14696.70     0.14    7502.94    -0.31

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.

10SS43    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.692    45.727    45.658
ecceobj         0.220     0.221     0.219
incobj         34.418    34.418    34.419
qmin           34.812    34.778    34.944
qmax           56.289    56.469    56.174
amean          45.358    45.399    45.314
amin           44.980    44.999    44.923
amax           45.817    45.853    45.759
emean           0.211     0.212     0.208
emin            0.193     0.194     0.190
emax            0.230     0.232     0.228
imean          35.432    35.428    35.470
imin           35.123    35.120    35.165
imax           35.810    35.815    35.859
excite_mean     0.617     0.617     0.617
fracstop        1.000     1.000     1.000
cjmean          2.619     2.619     2.619

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       201.5     198.1     200.2
kozaiamp        180.0     179.9     179.9