Orbit Fit and Astrometric record for 82157

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: 82157     
# Created Tue Oct 24 01:36:25 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   20 observations of   20
# Arc:   7.68y
# First observation: 2001/03/26
#  Last observation: 2008/11/28
# Chi-squared of fit:    38.00 DOF:   34 RMS:  0.24
# Min/Max residuals:    -0.58    0.81
# Exact a, adot, b, bdot, g, gdot:
  1.500501E-05  2.611002E-02  1.321887E-06  2.419326E-03  2.625335E-02 -1.814625E-03
# Covariance matrix:
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.006274  160.661878   -0.425854    0.015778   -0.906950  2451994.652483
# Heliocentric elements and errors
Epoch:              2451994.5000  =  2001/03/26
Mean Anomaly:          262.69598 +/-     0.000
Argument of Peri:      114.17289 +/-     0.000
Long of Asc Node:      150.76115 +/-     0.000
Inclination:             5.36940 +/-     0.000
Eccentricity:         0.05608796 +/-    0.0000
Semi-Major Axis:     38.60437027 +/-    0.0000
Time of Perihelion: 2475674.4842 +/-       0.0
Perihelion:          36.43912972 +/-    0.0000
Aphelion:            40.76961083 +/-    0.0000
Period (y)              239.8628 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -36.92898386 +/-    0.0000
Ecliptic Y           12.51460629 +/-    0.0000
Ecliptic Z            0.66900220 +/-    0.0000
Ecliptic XDOT        -0.00072729 +/-    0.0000
Ecliptic YDOT        -0.00263052 +/-    0.0000
Ecliptic ZDOT         0.00024913 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.99763286 +/-    0.0000
Geocenter to KBO     38.09045225 +/-    0.0000
# Hcoef:  6.87

The following table shows the complete astrometric record for 82157. 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 (82157) followed by the observatory code and reference code for the source of the astrometry.

2001 03  26.15174  10 50 09.01   +08 30 00.8   23.5R 82157     695  Cd1722      
2001 03  26.25723  10 50 08.53   +08 30 03.8         82157     695  Cd1722      
2001 04  29.15171  10 48 14.19   +08 41 49.7   22.5R 82157     695  Cd1722      
2001 04  29.25369  10 48 13.97   +08 41 51.0         82157     695  Cd1722      
2002 02  06.39463  10 59 44.66   +07 38 53.7   22.1R 82157     695  Ce9335      
2002 02  06.49180  10 59 44.24   +07 38 56.6         82157     695  Ce9335      
2002 02  07.40380  10 59 40.31   +07 39 23.1         82157     695  Ce9335      
2002 03  15.42333  10 56 48.86   +07 58 03.3   21.7R 82157     662  Cf2334      
2002 03  15.48495  10 56 48.59   +07 58 05.4         82157     662  Cf2334      
2003 03  07.32582  11 03 19.68   +07 26 33.0   21.8R 82157     662  Ch5853      
2003 03  07.42453  11 03 19.19   +07 26 35.9         82157     662  Ch5853      
2003 03  31.26400  11 01 27.61   +07 38 31.8   22.1R 82157     695  Ch8068      
2003 04  01.22446  11 01 23.51   +07 38 57.9         82157     695  Ch8068      
2003 04  01.32132  11 01 23.08   +07 39 00.5         82157     695  Ch8068      
2004 03  18.26275  11 08 14.06   +07 05 08.6   22.6R 82157     688  Ck2063      
2004 03  18.36015  11 08 13.58   +07 05 11.4         82157     688  Ck2063      
2008 11  28.13430  11 41 19.61   +04 11 23.5   23.2R 82157     250  S~06GN      
2008 11  28.14055  11 41 19.63   +04 11 23.4         82157     250  S~06GN      
2008 11  28.14749  11 41 19.65   +04 11 23.3         82157     250  S~06GN      
2008 11  28.15374  11 41 19.67   +04 11 23.2         82157     250  S~06GN      

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     0.11       0.00    -0.53
  2   0.0003      0.00     0.06       0.00     0.05
  3   0.0931      0.00     0.07       0.00     0.06
  4   0.0934      0.00     0.14       0.00     0.05
  5   0.8686      0.00     0.09       0.00    -0.22
  6   0.8688      0.00     0.16       0.00    -0.12
  7   0.8713      0.00     0.09       0.00    -0.08
  8   0.9699      0.00    -0.30       0.00     0.58
  9   0.9701      0.00     0.12       0.00     0.81
 10   1.9471      0.00    -0.18       0.00    -0.34
 11   1.9474      0.00    -0.18       0.00    -0.58
 12   2.0126      0.00    -0.03       0.00    -0.28
 13   2.0153      0.00     0.13       0.00    -0.14
 14   2.0155      0.00    -0.02       0.00    -0.14
 15   2.9791      0.00     0.20       0.00     0.02
 16   2.9794      0.00     0.07       0.00    -0.17
 17   7.6769      0.00    -0.02       0.00     0.13
 18   7.6769      0.00     0.03       0.00     0.11
 19   7.6769      0.00     0.04       0.00     0.10
 20   7.6769      0.00     0.09       0.00     0.08

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.

82157    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        38.462    38.462    38.462
ecceobj         0.057     0.057     0.057
incobj          5.378     5.378     5.378
qmin           34.828    34.832    34.800
qmax           42.618    42.514    42.651
amean          38.586    38.573    38.574
amin           38.285    38.272    38.267
amax           38.922    38.904    38.930
emean           0.071     0.071     0.071
emin            0.047     0.048     0.047
emax            0.096     0.094     0.096
imean           3.654     3.655     3.662
imin            1.981     1.977     1.985
imax            5.002     4.992     4.998
excite_mean     0.097     0.096     0.097
fracstop        1.000     1.000     1.000
cjmean          3.034     3.034     3.034

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       182.6     181.2     181.5
kozaiamp        179.9     180.0     180.0