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 Wed Dec 13 02:37:41 2017
# Orbit generated from Bernstein formalism
# Fitting   27 observations of   28
# Arc:   3.60y
# First observation: 2010/06/15
#  Last observation: 2014/01/21
Preliminary a, adot, b, bdot, g, gdot:
  -0.000092   0.038720  -0.000069   0.006648   0.030776   0.000000
# Chi-squared of fit:    20.51 DOF:   48 RMS:  0.15
# Min/Max residuals:    -0.33    0.40
# Exact a, adot, b, bdot, g, gdot:
  1.908272E-05  3.694566E-02  4.254660E-06  6.250062E-03  2.987578E-02 -1.226992E-02
# Covariance matrix:
  4.2221E-13 -4.3385E-13  5.1521E-14 -9.6865E-14 -1.0246E-14 -3.5838E-12
 -4.3385E-13  6.9362E-13 -9.8693E-14  1.6445E-13  1.4543E-13  6.0828E-12
  5.1521E-14 -9.8693E-14  1.9350E-13 -9.3919E-14 -2.7478E-14 -8.9909E-13
 -9.6865E-14  1.6445E-13 -9.3919E-14  7.9775E-14  2.7078E-14  1.5527E-12
 -1.0246E-14  1.4543E-13 -2.7478E-14  2.7078E-14  1.5203E-13  9.9987E-13
 -3.5838E-12  6.0828E-12 -8.9909E-13  1.5527E-12  9.9987E-13  5.7435E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.093910   -0.949204    1.010288   -0.014294    0.088894  2455363.054456
# Heliocentric elements and errors
Epoch:              2455360.5000  =  2010/06/13
Mean Anomaly:          345.14781 +/-     0.007
Argument of Peri:       99.58433 +/-     0.020
Long of Asc Node:      315.26374 +/-     0.001
Inclination:            13.47384 +/-     0.000
Eccentricity:         0.56297149 +/-    0.0002
Semi-Major Axis:     63.99196937 +/-    0.0184
Time of Perihelion: 2463074.4104 +/-       1.3
Perihelion:          27.96631496 +/-    0.0145
Aphelion:           100.01762378 +/-    0.0311
Period (y)              511.9133 +/-      0.22
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.94401242 +/-    0.0004
Ecliptic Y           -1.55750449 +/-    0.0000
Ecliptic Z            5.29053538 +/-    0.0001
Ecliptic XDOT        -0.00114315 +/-    0.0000
Ecliptic YDOT         0.00341124 +/-    0.0000
Ecliptic ZDOT         0.00038781 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.40244810 +/-    0.0004
Geocenter to KBO     33.47193213 +/-    0.0004
# Hcoef:  7.24

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.

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     0.10       0.00    -0.20
  2   0.0109    106.42    -0.33      79.97    -0.08
  3   0.5576  -7838.47    -0.01     551.09    -0.06
  4   0.5577  -7837.78     0.36     550.74    -0.33
  5   0.5577  -7837.80     0.03     551.00     0.01
  6   0.9884   7572.43     0.08    1217.97    -0.12
  7   0.9885   7572.54    -0.04    1218.38     0.17
  8   0.9885   7572.88     0.07    1218.25    -0.07
  9   1.2074   5606.93 (   0.42)   2672.80 (   0.55)
 10   1.2075   5605.57    -0.06    2672.23    -0.14
 11   1.2152   5377.64    -0.00    2701.61     0.03
 12   1.2153   5376.59     0.13    2702.05     0.32
 13   1.2153   5375.23    -0.05    2701.86    -0.02
 14   1.2154   5373.85    -0.25    2702.43     0.40
 15   1.2264   5040.51    -0.15    2739.39    -0.01
 16   1.2264   5039.55    -0.06    2739.67     0.16
 17   2.1984  14058.60    -0.02    4044.60     0.07
 18   2.1985  14057.57     0.03    4044.69    -0.02
 19   2.1985  14056.48     0.01    4044.96     0.07
 20   2.1985  14055.65     0.26    4045.05    -0.02
 21   2.3540   9202.52     0.07    4208.68     0.17
 22   3.2197  21904.38     0.24    5590.68     0.00
 23   3.3617  17358.88    -0.18    5648.30    -0.01
 24   3.3617  17357.95    -0.21    5648.24     0.02
 25   3.6021  16709.49     0.20    4385.52    -0.01
 26   3.6021  16709.41    -0.16    4385.45    -0.02
 27   3.6021  16709.75    -0.10    4385.20    -0.22
 28   3.6021  16710.20     0.06    4385.24    -0.13

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        64.139    64.184    64.094
ecceobj         0.564     0.565     0.564
incobj         13.484    13.484    13.484
qmin           27.588    27.548    27.407
qmax          100.678   107.603   101.202
amean          62.723    64.100    62.827
amin           58.454    62.600    58.975
amax           64.593    68.425    64.912
emean           0.549     0.555     0.543
emin            0.509     0.537     0.500
emax            0.565     0.573     0.565
imean          16.044    16.308    16.776
imin           14.876    14.888    14.868
imax           17.800    18.060    19.096
excite_mean     0.614     0.622     0.616
fracstop        0.049     0.057     0.057
cjmean          2.793     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       124.4     125.6     128.7
kozaiamp         23.4      25.7      27.7