Orbit Fit and Astrometric record for 11WG157

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: 11WG157   
# Created Tue Oct 24 01:37:58 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   23
# Arc:  11.11y
# First observation: 2004/09/21
#  Last observation: 2015/11/01
Preliminary a, adot, b, bdot, g, gdot:
  -0.001732   0.037674  -0.000861   0.011884   0.042826   0.000000
# Chi-squared of fit:    14.65 DOF:   40 RMS:  0.14
# Min/Max residuals:    -0.51    0.34
# Exact a, adot, b, bdot, g, gdot:
  1.667407E-05  3.539566E-02  5.317135E-06  1.134133E-02  3.331604E-02  6.089372E-04
# Covariance matrix:
  2.3796E-13 -5.6556E-14  1.0168E-14 -1.0229E-14 -2.7781E-14 -8.6020E-14
 -5.6556E-14  6.5064E-14 -1.5834E-14  1.5667E-14  1.9487E-13  1.3433E-13
  1.0168E-14 -1.5834E-14  2.1364E-13 -2.9212E-14 -3.9036E-14 -3.7427E-14
 -1.0229E-14  1.5667E-14 -2.9212E-14  8.5011E-15  3.7613E-14  3.7254E-14
 -2.7781E-14  1.9487E-13 -3.9036E-14  3.7613E-14  1.0681E-12  3.3260E-13
 -8.6020E-14  1.3433E-13 -3.7427E-14  3.7254E-14  3.3260E-13  3.1720E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.782209   28.628954    0.506208    0.207757   -0.846686  2453269.754591
# Heliocentric elements and errors
Epoch:              2453260.5000  =  2004/09/12
Mean Anomaly:          185.24564 +/-     0.046
Argument of Peri:      212.55849 +/-     0.035
Long of Asc Node:      352.25140 +/-     0.000
Inclination:            22.34096 +/-     0.000
Eccentricity:         0.02987552 +/-    0.0001
Semi-Major Axis:     29.97216276 +/-    0.0032
Time of Perihelion: 2482354.3411 +/-       6.0
Perihelion:          29.07672894 +/-    0.0039
Aphelion:            30.86759659 +/-    0.0041
Period (y)              164.0912 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           26.59065995 +/-    0.0008
Ecliptic Y           13.94230061 +/-    0.0004
Ecliptic Z            7.15084854 +/-    0.0002
Ecliptic XDOT        -0.00154755 +/-    0.0000
Ecliptic YDOT         0.00246296 +/-    0.0000
Ecliptic ZDOT         0.00091720 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.86398512 +/-    0.0007
Geocenter to KBO     30.01557420 +/-    0.0009
# Hcoef:  7.25

The following table shows the complete astrometric record for 11WG157. 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 (11WG157) followed by the observatory code and reference code for the source of the astrometry.

2004 09  21.253848 01 25 09.40   +23 48 29.3   22.0V 11WG157   645  C~1tfL      
2004 09  21.254263 01 25 09.40   +23 48 29.3         11WG157   645  C~1tfL      
2004 09  21.254677 01 25 09.40   +23 48 29.3   21.7V 11WG157   645  C~1tfL      
2004 09  21.255092 01 25 09.39   +23 48 29.3         11WG157   645  C~1tfL      
2004 09  21.257165 01 25 09.37   +23 48 29.3   22.7V 11WG157   645  C~1tfL      
2004 09  21.257580 01 25 09.37   +23 48 29.2         11WG157   645  C~1tfL      
2009 10  17.481098 01 59 49.25   +30 17 38.2   21.9V 11WG157   645  C~1tfL      
2009 10  17.481927 01 59 49.24   +30 17 38.1   21.7V 11WG157   645  C~1tfL      
2009 10  17.484415 01 59 49.23   +30 17 38.1   22.6V 11WG157   645  C~1tfL      
2011 11  20.27734  02 12 09.17   +32 29 53.6   22.1w 11WG157   F51  C~1tfL      
2011 11  20.28906  02 12 09.09   +32 29 53.2   22.0w 11WG157   F51  C~1tfL      
2011 11  20.30469  02 12 08.97   +32 29 52.7   22.4w 11WG157   F51  C~1tfL      
2011 11  20.31641  02 12 08.88   +32 29 52.0   22.4w 11WG157   F51  C~1tfL      
2011 11  25.25391  02 11 35.76   +32 26 39.6   22.1r 11WG157   F51  C~1tfL      
2011 11  25.26562  02 11 35.68   +32 26 39.0   22.1r 11WG157   F51  C~1tfL      
2012 10  10.55469  02 25 36.13   +33 58 07.8   21.7r 11WG157   F51  C~1tfL      
2012 10  10.57812  02 25 35.95   +33 58 07.4   21.3i 11WG157   F51  C~1tfL      
2012 10  10.58984  02 25 35.87   +33 58 07.5   21.2i 11WG157   F51  C~1tfL      
2013 11  23.28125  02 28 54.94   +34 50 05.7   21.7r 11WG157   F51  C~1tfL      
2013 11  23.33594  02 28 54.57   +34 50 03.6   21.5i 11WG157   F51  C~1tfL      
2015 11  01.127639 02 50 02.85   +37 13 24.5         11WG157   696  C~1tfL      
2015 11  01.211400 02 50 02.23   +37 13 23.3         11WG157   696  C~1tfL      
2015 11  01.335625 02 50 01.20   +37 13 21.2         11WG157   696  C~1tfL      

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     0.01
  2   0.0000      0.00     0.06       0.00     0.00
  3   0.0000      0.00     0.10       0.00    -0.00
  4   0.0000     -0.13     0.00       0.05     0.04
  5   0.0000     -0.38    -0.08       0.16     0.10
  6   0.0000     -0.42    -0.08       0.06     0.00
  7   5.0711  34541.39    -0.02   12242.40    -0.15
  8   5.0711  34541.23    -0.10   12242.35    -0.22
  9   5.0711  34541.10     0.03   12242.39    -0.20
 10   7.1623  46482.44     0.07   17120.79    -0.05
 11   7.1623  46481.29     0.11   17120.69    -0.01
 12   7.1624  46479.61     0.00   17120.64     0.11
 13   7.1624  46478.24    -0.18   17120.28    -0.11
 14   7.1759  45996.19    -0.09   17051.72     0.22
 15   7.1759  45994.98    -0.16   17051.42     0.09
 16   8.0528  58469.04     0.16   19645.30     0.11
 17   8.0529  58466.58    -0.05   19645.48    -0.05
 18   8.0529  58465.57     0.06   19645.84     0.14
 19   9.1719  61967.82     0.01   22202.48     0.10
 20   9.1720  61962.39     0.34   22201.46    -0.06
 21  11.1099  81158.93    -0.51   27834.94    -0.16
 22  11.1101  81150.22     0.30   27835.06    -0.04
 23  11.1104  81135.71     0.02   27835.14     0.11

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.

11WG157    quality flag:3

Type:            1:1       1:1       1:1

axisobj        30.239    30.249    30.229
ecceobj         0.021     0.021     0.021
incobj         22.258    22.258    22.258
qmin           28.562    28.559    28.513
qmax           31.882    31.789    31.830
amean          30.109    30.109    30.109
amin           29.821    29.826    29.822
amax           30.412    30.416    30.426
emean           0.027     0.027     0.027
emin            0.003     0.004     0.005
emax            0.048     0.048     0.048
imean          23.086    23.089    23.081
imin           22.919    22.922    22.919
imax           23.263    23.266    23.263
excite_mean     0.393     0.393     0.393
fracstop        1.000     1.000     1.000
cjmean          2.837     2.837     2.837

libcent 0        61.0      61.0      61.0
libamp  0        18.9      18.9      19.3
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       178.1     178.4     178.1
kozaiamp        180.0     180.0     180.0