Orbit Fit and Astrometric record for 11LZ28

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: 11LZ28    
# Created Mon Feb 19 02:37:44 2018
# Orbit generated from Bernstein formalism
# Fitting   35 observations of   40
# Arc:  11.28y
# First observation: 2002/10/11
#  Last observation: 2014/01/21
Preliminary a, adot, b, bdot, g, gdot:
  -0.008970   0.036334  -0.001966   0.007872   0.031141   0.000000
# Chi-squared of fit:    25.97 DOF:   64 RMS:  0.15
# Min/Max residuals:    -0.52    0.40
# Exact a, adot, b, bdot, g, gdot:
  1.724490E-05  2.990696E-02  3.882730E-06  6.471214E-03  2.756187E-02 -1.442044E-02
# Covariance matrix:
  2.9454E-13 -6.9785E-14  1.4843E-14 -9.6374E-15 -1.2262E-14 -1.0872E-13
 -6.9785E-14  3.4407E-14 -1.0134E-14  6.5492E-15  2.2443E-15  7.4515E-14
  1.4843E-14 -1.0134E-14  2.2995E-13 -2.6149E-14 -1.4131E-15 -2.4033E-14
 -9.6374E-15  6.5492E-15 -2.6149E-14  4.3275E-15  1.2246E-15  1.5543E-14
 -1.2262E-14  2.2443E-15 -1.4131E-15  1.2246E-15  6.1991E-14  7.5093E-15
 -1.0872E-13  7.4515E-14 -2.4033E-14  1.5543E-14  7.5093E-15  1.7661E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.431240  -18.224467   -0.581722    0.090737   -0.805318  2452558.764275
# Heliocentric elements and errors
Epoch:              2452550.5000  =  2002/10/03
Mean Anomaly:          339.21934 +/-     0.002
Argument of Peri:      100.23982 +/-     0.003
Long of Asc Node:      315.40399 +/-     0.000
Inclination:            13.52219 +/-     0.000
Eccentricity:         0.56005945 +/-    0.0000
Semi-Major Axis:     63.24505325 +/-    0.0047
Time of Perihelion: 2463155.1188 +/-       0.3
Perihelion:          27.82406356 +/-    0.0026
Aphelion:            98.66604294 +/-    0.0075
Period (y)              502.9769 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.19629468 +/-    0.0003
Ecliptic Y          -10.97067956 +/-    0.0001
Ecliptic Z            4.06413312 +/-    0.0000
Ecliptic XDOT        -0.00049888 +/-    0.0000
Ecliptic YDOT         0.00328631 +/-    0.0000
Ecliptic ZDOT         0.00047853 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.08978494 +/-    0.0003
Geocenter to KBO     36.28201085 +/-    0.0003
# Hcoef:  7.09

The following table shows the complete astrometric record for 11LZ28. 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 (11LZ28) followed by the observatory code and reference code for the source of the astrometry.

2002 10  11.263532 22 42 59.06   -01 11 41.0   22.0V 11LZ28    645  C~2POQ      
2002 10  11.264362 22 42 59.07   -01 11 41.0   21.9V 11LZ28    645  C~2POQ      
2002 10  11.266849 22 42 59.06   -01 11 41.1   22.8V 11LZ28    645  C~2POQ      
2003 10  19.170022 22 48 22.81   -00 14 45.3   22.4V 11LZ28    645  C~2POQ      
2003 10  19.170851 22 48 22.81   -00 14 45.3   21.9V 11LZ28    645  C~2POQ      
2003 10  19.173339 22 48 22.80   -00 14 45.5   22.7V 11LZ28    645  C~2POQ      
2004 11  03.154305 22 53 38.59   +00 40 50.5   22.9V 11LZ28    645  C~2POQ      
2004 11  03.155134 22 53 38.59   +00 40 50.5   22.5V 11LZ28    645  C~2POQ      
2004 11  03.157622 22 53 38.58   +00 40 50.5   22.5V 11LZ28    645  C~2POQ      
2008 11  17.084259 23 18 53.03   +04 58 49.5   22.3V 11LZ28    645  C~2POQ      
2008 11  17.085088 23 18 53.02   +04 58 49.5   22.0V 11LZ28    645  C~2POQ      
2008 11  17.087576 23 18 53.01   +04 58 49.2   23.0V 11LZ28    645  C~2POQ      
2010 06  15.55369  23 41 57.563  +07 57 40.67  22.7w 11LZ28    F51  C~1w3n      
2010 06  19.54003  23 42 01.962  +07 59 36.64  22.8w 11LZ28    F51  C~1w3n      
2011 01  05.23491  23 33 40.541  +07 13 20.82  22.8w 11LZ28    F51  C~1w3n      
2011 01  05.24105  23 33 40.593  +07 13 20.78  22.6w 11LZ28    F51  C~1w3n      
2011 01  05.24705  23 33 40.585  +07 13 21.01  22.8w 11LZ28    F51  C~1w3n      
2011 06  11.58010  23 49 12.549  +09 06 40.44  22.5w 11LZ28    F51  C~1w3n      
2011 06  11.58563  23 49 12.545  +09 06 40.86  22.9w 11LZ28    F51  C~1w3n      
2011 06  11.59118  23 49 12.569  +09 06 40.88  22.7w 11LZ28    F51  C~1w3n      
2011 08  30.56610  23 46 31.806  +09 15 52.84  22.0r 11LZ28    F51  C~1w3n      
2011 08  30.57708  23 46 31.737  +09 15 51.78  22.0r 11LZ28    F51  C~1w3n      
2011 09  02.42152  23 46 16.838  +09 14 47.88  22.3w 11LZ28    F51  C~1w3n      
2011 09  02.43577  23 46 16.761  +09 14 47.87  22.3w 11LZ28    F51  C~1w3n      
2011 09  02.45006  23 46 16.682  +09 14 47.15  22.3w 11LZ28    F51  C~1w3n      
2011 09  02.46445  23 46 16.581  +09 14 47.12  22.0w 11LZ28    F51  C~1w3n      
2011 09  06.49915  23 45 54.955  +09 13 08.10  21.8i 11LZ28    F51  C~1w3n      
2011 09  06.51143  23 45 54.888  +09 13 07.97  22.1i 11LZ28    F51  C~1w3n      
2012 08  26.52587  23 54 38.971  +10 32 27.29  22.3w 11LZ28    F51  C~1w3n      
2012 08  26.53987  23 54 38.905  +10 32 26.97  22.2w 11LZ28    F51  C~1w3n      
2012 08  26.55389  23 54 38.830  +10 32 26.79  22.3w 11LZ28    F51  C~1w3n      
2012 08  26.56796  23 54 38.776  +10 32 26.55  22.1w 11LZ28    F51  C~1w3n      
2012 10  22.34967  23 49 33.278  +10 03 07.88  21.2i 11LZ28    F51  C~1w3n      
2013 09  03.56421  00 02 05.115  +11 46 36.91  22.2g 11LZ28    F51  C~1w3n      
2013 10  25.41725  23 57 21.248  +11 18 21.07  21.5i 11LZ28    F51  C~1w3n      
2013 10  25.42847  23 57 21.192  +11 18 20.66  21.8i 11LZ28    F51  C~1w3n      
2014 01  21.22574  23 57 14.443  +10 54 52.37  22.5w 11LZ28    F51  C~1w3n      
2014 01  21.22969  23 57 14.440  +10 54 52.28  22.4w 11LZ28    F51  C~1w3n      
2014 01  21.23367  23 57 14.468  +10 54 52.18  22.5w 11LZ28    F51  C~1w3n      
2014 01  21.23763  23 57 14.495  +10 54 52.39  22.3w 11LZ28    F51  C~1w3n      

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    -0.02       0.00    -0.04
  2   0.0000      0.14     0.17      -0.06    -0.09
  3   0.0000     -0.04     0.15      -0.09    -0.12
  4   1.0210   5788.37    -0.11    1326.69     0.11
  5   1.0210   5788.37    -0.07    1326.69     0.11
  6   1.0210   5788.16    -0.14    1326.56    -0.01
  7   2.0640  11445.47 (   0.81)   2625.99 (  -0.10)
  8   2.0640  11445.47 (   0.85)   2625.99 (  -0.10)
  9   2.0640  11445.33 (   0.80)   2626.04 (  -0.03)
 10   6.1022  38741.11     0.14    8532.95    -0.01
 11   6.1022  38740.97     0.02    8533.00     0.06
 12   6.1022  38740.71    -0.16    8532.78    -0.14
 13   7.6777  63355.78    -0.05   11115.30    -0.17
 14   7.6886  63469.43    -0.52   11204.58    -0.07
 15   8.2354  54850.04    -0.06   11287.02    -0.02
 16   8.2354  54850.79     0.35   11286.69    -0.28
 17   8.2354  54850.77    -0.01   11286.96     0.05
 18   8.6662  71701.31     0.08   12800.95    -0.07
 19   8.6662  71701.42    -0.05   12801.39     0.23
 20   8.6662  71701.80     0.07   12801.28    -0.02
 21   8.8852  69453.37 (   0.48)  14232.34 (   0.65)
 22   8.8852  69451.88    -0.02   14231.67    -0.10
 23   8.8930  69196.94     0.04   14249.82     0.08
 24   8.8930  69195.76     0.17   14250.23     0.40
 25   8.8931  69194.25    -0.02   14249.95     0.02
 26   8.8931  69192.69 (  -0.25)  14250.47 (   0.45)
 27   8.9041  68820.38    -0.12   14270.66     0.04
 28   8.9042  68819.30    -0.03   14270.89     0.21
 29   9.8761  78946.05    -0.01   16188.04     0.10
 30   9.8762  78944.87     0.05   16188.07     0.00
 31   9.8762  78943.61     0.03   16188.29     0.10
 32   9.8763  78942.66     0.32   16188.34     0.02
 33  10.0317  73428.05     0.21   16071.41     0.20
 34  10.8975  87976.90     0.10   18346.48    -0.04
 35  11.0394  82685.56    -0.23   18117.37    -0.07
 36  11.0395  82684.49    -0.28   18117.25    -0.04
 37  11.2798  81978.42     0.23   16715.94    -0.01
 38  11.2799  81978.33    -0.19   16715.86    -0.05
 39  11.2799  81978.74    -0.12   16715.61    -0.26
 40  11.2799  81979.25     0.07   16715.68    -0.15

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.

11LZ28    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        64.151    64.165    64.137
ecceobj         0.564     0.565     0.564
incobj         13.484    13.484    13.484
qmin           27.440    27.559    27.560
qmax          101.729   108.290   104.242
amean          63.346    64.610    64.227
amin           60.868    61.333    61.478
amax           65.632    69.222    66.665
emean           0.547     0.548     0.555
emin            0.517     0.523     0.541
emax            0.566     0.567     0.566
imean          16.796    17.626    16.402
imin           14.879    14.882    14.875
imax           19.074    19.565    17.339
excite_mean     0.619     0.627     0.623
fracstop        0.055     0.073     0.061
cjmean          2.792     2.792     2.793

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       129.4     139.1     130.5
kozaiamp         28.8      36.3      27.3