Orbit Fit and Astrometric record for 11WR74

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: 11WR74    
# Created Fri Dec  3 02:11:19 2021
# Orbit generated from Bernstein formalism
# Fitting     18 observations of     18
# Arc:  34.79d
# First observation: 2011/11/25
#  Last observation: 2011/12/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.000097   0.951821   0.000136   0.011540   0.260540   0.000000
# Chi-squared of fit:   182.37 DOF:     30 RMS:  0.56
# Min/Max residuals:    -1.75    1.29
# Exact a, adot, b, bdot, g, gdot:
  5.149459E-05  7.423077E-01  2.944504E-06  3.604503E-02  2.299517E-01  7.433726E-02
# Covariance matrix:
  2.5946E-13  7.8944E-12 -1.8287E-14  2.0937E-12  4.8137E-12  3.2439E-10
  7.8944E-12  2.7066E-07  1.4569E-10 -2.8507E-08  4.1770E-08 -5.7713E-07
 -1.8287E-14  1.4569E-10  2.1721E-13 -1.7729E-11  2.1864E-11 -3.7572E-10
  2.0937E-12 -2.8507E-08 -1.7729E-11  3.1448E-09 -4.3176E-09  6.9413E-08
  4.8137E-12  4.1770E-08  2.1864E-11 -4.3176E-09  6.5360E-09 -7.9910E-08
  3.2439E-10 -5.7713E-07 -3.7572E-10  6.9413E-08 -7.9910E-08  2.1852E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.839678   58.775117   -0.068756   -0.218254   -0.957687  2455890.941246
# Heliocentric elements and errors
Epoch:              2455890.5000  =  2011/11/25
Mean Anomaly:            7.82605 +/-     0.131
Argument of Peri:      262.41873 +/-     0.372
Long of Asc Node:      135.07439 +/-     0.018
Inclination:            10.81158 +/-     0.001
Eccentricity:         0.43454571 +/-    0.0005
Semi-Major Axis:      9.19483145 +/-    0.0031
Time of Perihelion: 2455669.1119 +/-       3.7
Perihelion:           5.19925693 +/-    0.0051
Aphelion:            13.19040596 +/-    0.0065
Period (y)               27.8820 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            2.65160938 +/-    0.0008
Ecliptic Y            4.50266322 +/-    0.0013
Ecliptic Z           -0.96640727 +/-    0.0003
Ecliptic XDOT        -0.00706492 +/-    0.0000
Ecliptic YDOT         0.00540605 +/-    0.0000
Ecliptic ZDOT         0.00022182 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    5.31403344 +/-    0.0011
Geocenter to KBO      4.34873877 +/-    0.0015
# Hcoef: 15.19

The following table shows the complete astrometric record for 11WR74. 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 (11WR74) followed by the observatory code and reference code for the source of the astrometry.

2011 11  25.44048  03 57 26.872  +07 20 25.28  22.5w 11WR74    F51  C~0b6m      
2011 11  25.45800  03 57 26.388  +07 20 24.42  22.4w 11WR74    F51  C~0b6m      
2011 11  25.47283  03 57 25.972  +07 20 23.90  22.3w 11WR74    F51  C~0b6m      
2011 11  25.48737  03 57 25.578  +07 20 23.24  22.5w 11WR74    F51  C~0b6m      
2011 11  27.353521 03 56 35.161  +07 18 56.11  21.5R 11WR74    568  C~0b6m      
2011 11  27.357080 03 56 35.095  +07 18 55.60  21.6R 11WR74    568  C~0b6m      
2011 11  27.364461 03 56 34.888  +07 18 55.25  22.0R 11WR74    568  C~0b6m      
2011 11  29.42475  03 55 39.57   +07 17 30.2   21.8V 11WR74    G51  C~0b6m      
2011 11  29.43783  03 55 39.19   +07 17 29.5   21.8V 11WR74    G51  C~0b6m      
2011 11  30.31891  03 55 15.62   +07 17 00.6   21.8R 11WR74    H01  C~0b6n      
2011 11  30.32895  03 55 15.37   +07 17 00.1   22.4R 11WR74    H01  C~0b6n      
2011 11  30.33375  03 55 15.23   +07 16 59.9   21.7R 11WR74    H01  C~0b6n      
2011 11  30.35898  03 55 14.55   +07 16 59.1   21.6R 11WR74    H01  C~0b6n      
2011 12  24.14091  03 46 10.78   +07 21 17.7   23.0R 11WR74    688  C~0bek      
2011 12  24.20494  03 46 09.63   +07 21 21.4         11WR74    688  C~0bek      
2011 12  30.20000  03 44 35.62   +07 28 10.8   22.7R 11WR74    291  C~59iG      
2011 12  30.21323  03 44 35.39   +07 28 11.0   22.5R 11WR74    291  C~59iG      
2011 12  30.22645  03 44 35.20   +07 28 12.5   22.6R 11WR74    291  C~59iG      

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    -0.09       0.00    -0.10
     2   0.0000     -7.22    -0.02       0.66    -0.09
     3   0.0001    -13.38    -0.01       1.43     0.15
     4   0.0001    -19.25     0.16       2.01     0.19
     5   0.0052   -771.04    -0.52      72.92     0.77
     6   0.0052   -772.11    -0.12      72.62     0.32
     7   0.0053   -775.20    -0.16      72.92     0.30
     8   0.0109  -1597.89     1.29     161.46    -1.62
     9   0.0109  -1603.57     0.90     161.95    -1.75
    10   0.0134  -1952.59    -0.55     206.99     0.58
    11   0.0134  -1956.33    -0.23     207.28     0.35
    12   0.0134  -1958.41    -0.38     207.52     0.35
    13   0.0135  -1968.47    -0.27     208.85     0.39
    14   0.0786  -9828.40    -0.11    2175.07     0.25
    15   0.0788  -9844.36     0.08    2182.36     0.26
    16   0.0952 -11125.97     0.46    2883.62     0.21
    17   0.0952 -11129.28    -0.28    2884.55    -0.50
    18   0.0952 -11131.72    -0.16    2886.63    -0.06

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.

11WR74    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         9.419     9.696     9.152
ecceobj         0.449     0.443     0.456
incobj         10.836    10.830    10.842
qmin            5.189     5.014     4.977
qmax           18.778    15.196    15.936
amean          11.319     9.954     9.871
amin            8.941     9.696     9.152
amax           12.846    10.105    10.590
emean           0.466     0.479     0.480
emin            0.388     0.443     0.456
emax            0.511     0.504     0.505
imean          14.448     8.953     9.224
imin            9.470     7.471     8.973
imax           19.343     9.924     9.476
excite_mean     0.530     0.505     0.507
fracstop        0.001     0.000     0.000
cjmean          3.730     4.018     4.052

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        84.2     297.8     266.2
kozaiamp        149.2      40.9       3.8