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 Mon Apr 22 01:09:12 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   55 observations of   55
# Arc:  13.32y
# First observation: 2004/09/21
#  Last observation: 2018/01/17
# Chi-squared of fit:    48.80 DOF:  104 RMS:  0.17
# Min/Max residuals:    -0.60    0.42
# Exact a, adot, b, bdot, g, gdot:
  1.659766E-05  3.539547E-02  5.521224E-06  1.134126E-02  3.331576E-02  6.083967E-04
# Covariance matrix:
  2.2621E-13 -4.7670E-14  2.5986E-14 -1.0307E-14 -1.7652E-14 -6.3559E-14
 -4.7670E-14  1.7996E-14 -1.3033E-14  4.8912E-15  2.8884E-14  2.9018E-14
  2.5986E-14 -1.3033E-14  1.6115E-13 -2.0368E-14 -2.2957E-14 -2.3942E-14
 -1.0307E-14  4.8912E-15 -2.0368E-14  3.6574E-15  7.0493E-15  9.2357E-15
 -1.7652E-14  2.8884E-14 -2.2957E-14  7.0493E-15  1.6360E-13  3.5018E-14
 -6.3559E-14  2.9018E-14 -2.3942E-14  9.2357E-15  3.5018E-14  5.5880E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.782209   28.628954    0.506208    0.207757   -0.846686  2453269.754591
# Heliocentric elements and errors
Epoch:              2453270.5000  =  2004/09/22
Mean Anomaly:          185.33619 +/-     0.017
Argument of Peri:      212.52969 +/-     0.013
Long of Asc Node:      352.25136 +/-     0.000
Inclination:            22.34096 +/-     0.000
Eccentricity:         0.02986360 +/-    0.0000
Semi-Major Axis:     29.97279431 +/-    0.0013
Time of Perihelion: 2482350.1854 +/-       3.5
Perihelion:          29.07769877 +/-    0.0016
Aphelion:            30.86788986 +/-    0.0016
Period (y)              164.0964 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           26.59087542 +/-    0.0003
Ecliptic Y           13.94241562 +/-    0.0002
Ecliptic Z            7.15091476 +/-    0.0001
Ecliptic XDOT        -0.00154760 +/-    0.0000
Ecliptic YDOT         0.00246294 +/-    0.0000
Ecliptic ZDOT         0.00091719 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.86423947 +/-    0.0003
Geocenter to KBO     30.01584939 +/-    0.0004
# Hcoef:  7.28

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      
2010 10  11.56623  02 08 39.659  +31 34 22.26  21.1G 11WG157   F51  C~2r7M      
2010 10  13.41263  02 08 26.555  +31 33 54.30  21.9G 11WG157   F51  C~2r7M      
2010 10  13.42389  02 08 26.476  +31 33 54.06  22.5G 11WG157   F51  C~2r7M      
2010 11  08.31019  02 05 16.119  +31 22 54.56  22.9G 11WG157   F51  C~2r7M      
2011 11  13.49195  02 12 57.045  +32 34 01.84  22.1G 11WG157   F51  C~2r7M      
2011 11  20.27592  02 12 09.172  +32 29 53.42  21.7G 11WG157   F51  C~2r7M      
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  20.28922  02 12 09.107  +32 29 53.16  22.2G 11WG157   F51  C~2r7M      
2011 11  20.28987  02 12 09.096  +32 29 52.98  21.5G 11WG157   F51  C~2r7M      
2011 11  20.30319  02 12 08.973  +32 29 52.65  21.9G 11WG157   F51  C~2r7M      
2011 11  20.30384  02 12 08.949  +32 29 52.96  21.7G 11WG157   F51  C~2r7M      
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  20.31737  02 12 08.876  +32 29 52.04  22.3G 11WG157   F51  C~2r7M      
2011 11  20.31803  02 12 08.887  +32 29 52.08  22.3G 11WG157   F51  C~2r7M      
2011 11  25.25391  02 11 35.76   +32 26 39.6   22.1r 11WG157   F51  C~1tfL      
2011 11  25.25434  02 11 35.764  +32 26 39.44  21.6G 11WG157   F51  C~2r7M      
2011 11  25.25557  02 11 35.750  +32 26 39.34  21.5G 11WG157   F51  C~2r7M      
2011 11  25.26562  02 11 35.68   +32 26 39.0   22.1r 11WG157   F51  C~1tfL      
2011 11  25.26588  02 11 35.689  +32 26 38.89  21.5G 11WG157   F51  C~2r7M      
2011 11  25.26710  02 11 35.691  +32 26 39.23  21.7G 11WG157   F51  C~2r7M      
2012 10  10.55303  02 25 36.132  +33 58 07.69  21.5G 11WG157   F51  C~2r7M      
2012 10  10.55469  02 25 36.13   +33 58 07.8   21.7r 11WG157   F51  C~1tfL      
2012 10  10.56501  02 25 36.041  +33 58 07.73  21.8G 11WG157   F51  C~2r7M      
2012 10  10.57725  02 25 35.954  +33 58 07.35  21.6G 11WG157   F51  C~2r7M      
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      
2012 11  03.34001  02 22 38.142  +33 50 53.10  22.0G 11WG157   F51  C~2r7M      
2012 11  03.35250  02 22 38.007  +33 50 52.77  22.5G 11WG157   F51  C~2r7M      
2013 11  23.28125  02 28 54.94   +34 50 05.7   21.7r 11WG157   F51  C~1tfL      
2013 11  23.33415  02 28 54.563  +34 50 03.61  21.8G 11WG157   F51  C~2r7M      
2013 11  23.33594  02 28 54.57   +34 50 03.6   21.5i 11WG157   F51  C~1tfL      
2013 12  07.22999  02 27 22.670  +34 40 48.98  22.1G 11WG157   F51  C~2r7M      
2014 12  07.36311  02 36 15.938  +35 49 02.38  21.9G 11WG157   F51  C~2r7M      
2014 12  15.28497  02 35 29.021  +35 43 28.05  22.6G 11WG157   F51  C~2r7M      
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      
2016 10  14.52236  03 01 43.087  +38 17 17.96  22.9G 11WG157   F51  C~2r7M      
2016 11  10.40937  02 58 11.941  +38 12 02.26  21.8G 11WG157   F51  C~2r7M      
2017 10  03.47726  03 12 43.276  +39 13 37.16  22.1G 11WG157   F51  C~2r7M      
2017 10  03.51372  03 12 43.047  +39 13 37.50  22.4G 11WG157   F51  C~2r7M      
2018 01  17.27227  03 01 06.095  +38 29 00.84  22.4G 11WG157   F51  C~2r7M      
2018 01  17.28386  03 01 06.055  +38 29 00.30  22.4G 11WG157   F51  C~2r7M      
2018 01  17.29555  03 01 06.026  +38 28 59.72  22.7G 11WG157   F51  C~2r7M      

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     0.05       0.00    -0.01
  2   0.0000      0.00     0.09       0.00    -0.01
  3   0.0000      0.00     0.13       0.00     0.00
  4   0.0000      0.00     0.02       0.00     0.01
  5   0.0000      0.00    -0.09       0.00     0.03
  6   0.0000      0.00    -0.05       0.00    -0.06
  7   5.0711      0.00     0.11       0.00    -0.14
  8   5.0711      0.00     0.05       0.00    -0.22
  9   5.0711      0.00     0.17       0.00    -0.16
 10   6.0542      0.00    -0.37       0.00     0.25
 11   6.0593      0.00    -0.10       0.00     0.06
 12   6.0593      0.00    -0.05       0.00    -0.00
 13   6.1302      0.00    -0.03       0.00    -0.24
 14   7.1437      0.00    -0.19       0.00    -0.03
 15   7.1623      0.00    -0.00       0.00    -0.27
 16   7.1623      0.00     0.12       0.00    -0.03
 17   7.1623      0.00     0.15       0.00     0.01
 18   7.1623      0.00     0.42       0.00    -0.03
 19   7.1623      0.00     0.32       0.00    -0.18
 20   7.1624      0.00    -0.12       0.00    -0.01
 21   7.1624      0.00    -0.42       0.00     0.33
 22   7.1624      0.00    -0.01       0.00     0.10
 23   7.1624      0.00    -0.13       0.00    -0.16
 24   7.1624      0.00    -0.09       0.00    -0.08
 25   7.1624      0.00     0.14       0.00    -0.02
 26   7.1759      0.00    -0.15       0.00     0.17
 27   7.1759      0.00    -0.05       0.00     0.03
 28   7.1759      0.00    -0.14       0.00    -0.02
 29   7.1759      0.00    -0.18       0.00     0.03
 30   7.1759      0.00    -0.02       0.00    -0.07
 31   7.1759      0.00     0.13       0.00     0.32
 32   8.0528      0.00     0.03       0.00     0.00
 33   8.0528      0.00     0.17       0.00     0.13
 34   8.0529      0.00    -0.05       0.00     0.15
 35   8.0529      0.00    -0.04       0.00    -0.13
 36   8.0529      0.00    -0.01       0.00    -0.07
 37   8.0529      0.00     0.05       0.00     0.14
 38   8.1180      0.00     0.14       0.00     0.19
 39   8.1180      0.00    -0.43       0.00     0.20
 40   9.1719      0.00    -0.05       0.00     0.07
 41   9.1720      0.00     0.06       0.00    -0.07
 42   9.1720      0.00     0.36       0.00    -0.02
 43   9.2101      0.00    -0.00       0.00     0.08
 44  10.2097      0.00     0.21       0.00    -0.17
 45  10.2314      0.00    -0.22       0.00     0.34
 46  11.1099      0.00    -0.60       0.00    -0.27
 47  11.1101      0.00     0.23       0.00    -0.05
 48  11.1104      0.00    -0.10       0.00     0.05
 49  12.0637      0.00     0.04       0.00     0.20
 50  12.1373      0.00     0.03       0.00    -0.06
 51  13.0328      0.00     0.14       0.00     0.10
 52  13.0329      0.00     0.03       0.00    -0.08
 53  13.3224      0.00     0.25       0.00    -0.08
 54  13.3225      0.00     0.01       0.00    -0.13
 55  13.3225      0.00    -0.06       0.00    -0.21

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        30.241    30.241    30.241
ecceobj         0.021     0.021     0.021
incobj         22.258    22.258    22.258
qmin           28.568    28.568    28.568
qmax           31.865    31.865    31.865
amean          30.109    30.109    30.109
amin           29.820    29.820    29.820
amax           30.423    30.423    30.423
emean           0.027     0.027     0.027
emin            0.003     0.003     0.003
emax            0.048     0.048     0.048
imean          23.087    23.087    23.087
imin           22.918    22.918    22.918
imax           23.263    23.263    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        19.0      19.0      19.0
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       178.1     178.0     178.1
kozaiamp        179.9     180.0     179.9