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 Fri May 25 01:37:53 2018
# Orbit generated from Bernstein formalism
# Fitting   25 observations of   25
# Arc:   4.63y
# First observation: 2009/01/21
#  Last observation: 2013/09/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000672   0.022546  -0.000296   0.012931   0.024652   0.000000
# Chi-squared of fit:    20.51 DOF:   44 RMS:  0.16
# Min/Max residuals:    -0.42    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.311013E-05  2.094605E-02  8.462581E-06  1.208329E-02  2.414983E-02 -5.389155E-03
# Covariance matrix:
  4.1367E-13 -2.1763E-13  9.3579E-14 -8.0619E-14 -1.0897E-13 -1.1813E-12
 -2.1763E-13  3.3613E-13 -4.4893E-14  1.4027E-13 -2.1762E-13  1.6526E-12
  9.3579E-14 -4.4893E-14  2.9022E-13 -1.0186E-13 -1.0889E-13 -5.0572E-13
 -8.0619E-14  1.4027E-13 -1.0186E-13  9.4306E-14 -7.1610E-14  8.0549E-13
 -1.0897E-13 -2.1762E-13 -1.0889E-13 -7.1610E-14  5.6622E-13 -3.9354E-13
 -1.1813E-12  1.6526E-12 -5.0572E-13  8.0549E-13 -3.9354E-13  1.0336E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   18.666986    9.797583   -0.921742   -0.114784    0.339854  2454852.635313
# Heliocentric elements and errors
Epoch:              2454850.5000  =  2009/01/19
Mean Anomaly:          307.14287 +/-     0.022
Argument of Peri:      110.57321 +/-     0.037
Long of Asc Node:      341.33742 +/-     0.000
Inclination:            34.43500 +/-     0.000
Eccentricity:         0.21629135 +/-    0.0001
Semi-Major Axis:     45.38525785 +/-    0.0074
Time of Perihelion: 2471247.7772 +/-       5.5
Perihelion:          35.56881935 +/-    0.0081
Aphelion:            55.20169635 +/-    0.0106
Period (y)              305.7598 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.14940082 +/-    0.0012
Ecliptic Y            7.51898461 +/-    0.0002
Ecliptic Z           13.25371841 +/-    0.0004
Ecliptic XDOT        -0.00140107 +/-    0.0000
Ecliptic YDOT         0.00216999 +/-    0.0000
Ecliptic ZDOT         0.00110216 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.08007989 +/-    0.0011
Geocenter to KBO     41.40815308 +/-    0.0013
# Hcoef:  5.97

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.

2009 01  21.134547 00 05 03.34   +20 57 51.0   21.8V 10SS43    645  C~2PON      
2009 01  21.135376 00 05 03.35   +20 57 50.9   21.7V 10SS43    645  C~2PON      
2009 01  21.137864 00 05 03.34   +20 57 51.1   22.6V 10SS43    645  C~2PON      
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     0.12       0.00    -0.11
  2   0.0000      0.09     0.17      -0.15    -0.25
  3   0.0000      0.04     0.03       0.09     0.04
  4   1.6547  13600.57    -0.08    6492.55     0.14
  5   1.6547  13600.44    -0.10    6492.57     0.14
  6   1.6547  13599.78     0.03    6492.78     0.18
  7   1.6547  13599.56    -0.10    6492.75     0.13
  8   1.7307  11500.71    -0.17    6705.65    -0.08
  9   1.7307  11500.32     0.35    6705.61    -0.13
 10   1.7830  10128.85    -0.42    6617.05    -0.23
 11   1.7830  10128.09    -0.38    6617.26     0.09
 12   2.6650  17954.01    -0.07    9201.68    -0.13
 13   2.6650  17953.29     0.15    9202.00     0.01
 14   2.6650  17952.30     0.01    9202.13    -0.01
 15   2.6755  17668.16    -0.15    9249.34     0.05
 16   2.7409  15829.97     0.21    9361.31     0.11
 17   2.7410  15828.88     0.19    9361.25     0.06
 18   2.7410  15827.87     0.24    9361.32     0.16
 19   2.7411  15826.59     0.02    9361.21     0.06
 20   3.7053  21517.61    -0.11   12042.60     0.12
 21   4.6008  28948.50     0.00   14159.37    -0.05
 22   4.6008  28947.76    -0.05   14159.79     0.04
 23   4.6199  28538.55    -0.05   14335.45     0.12
 24   4.6308  28283.45     0.01   14424.56    -0.07
 25   4.6310  28281.00     0.15   14425.07    -0.39

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        45.707    45.729    45.686
ecceobj         0.221     0.221     0.221
incobj         34.418    34.418    34.419
qmin           34.790    34.772    34.773
qmax           56.415    56.508    56.383
amean          45.374    45.400    45.352
amin           44.985    45.006    44.968
amax           45.828    45.854    45.825
emean           0.212     0.212     0.212
emin            0.194     0.193     0.194
emax            0.231     0.232     0.231
imean          35.432    35.423    35.432
imin           35.119    35.120    35.120
imax           35.830    35.808    35.829
excite_mean     0.617     0.617     0.617
fracstop        1.000     1.000     1.000
cjmean          2.619     2.619     2.618

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       200.8     197.4     201.1
kozaiamp        180.0     180.0     180.0