Orbit Fit and Astrometric record for 11US411

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: 11US411   
# Created Tue Oct 24 01:37:58 2017
# Orbit generated from Bernstein formalism
# Fitting   22 observations of   23
# Arc:   4.17y
# First observation: 2011/09/05
#  Last observation: 2015/11/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000344   0.042340  -0.000121   0.016774   0.032704   0.000000
# Chi-squared of fit:    11.60 DOF:   38 RMS:  0.13
# Min/Max residuals:    -0.25    0.32
# Exact a, adot, b, bdot, g, gdot:
  2.050045E-05  4.182429E-02  9.273297E-06  1.663528E-02  3.267492E-02  1.116962E-03
# Covariance matrix:
  2.8865E-13 -7.1789E-14  4.4721E-15 -1.2609E-14  1.7752E-13 -2.1279E-13
 -7.1789E-14  3.3285E-13 -5.2282E-14  1.2359E-13  1.4014E-13  1.9926E-12
  4.4721E-15 -5.2282E-14  1.3208E-13 -9.1921E-14 -2.5416E-14 -4.1550E-13
 -1.2609E-14  1.2359E-13 -9.1921E-14  1.4110E-13  5.7881E-14  9.8424E-13
  1.7752E-13  1.4014E-13 -2.5416E-14  5.7881E-14  2.7272E-13  9.2296E-13
 -2.1279E-13  1.9926E-12 -4.1550E-13  9.8424E-13  9.2296E-13  1.5878E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.574789   34.979104    0.797776    0.038095   -0.610022  2455810.111026
# Heliocentric elements and errors
Epoch:              2455810.5000  =  2011/09/06
Mean Anomaly:            0.03285 +/-     0.004
Argument of Peri:        9.27300 +/-     0.015
Long of Asc Node:       24.79722 +/-     0.000
Inclination:            22.00691 +/-     0.000
Eccentricity:         0.50667834 +/-    0.0001
Semi-Major Axis:     63.30187483 +/-    0.0091
Time of Perihelion: 2455793.7118 +/-       2.2
Perihelion:          31.22818578 +/-    0.0061
Aphelion:            95.37556387 +/-    0.0143
Period (y)              503.6549 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           25.98881411 +/-    0.0004
Ecliptic Y           17.20871747 +/-    0.0003
Ecliptic Z            1.90852359 +/-    0.0000
Ecliptic XDOT        -0.00200693 +/-    0.0000
Ecliptic YDOT         0.00288052 +/-    0.0000
Ecliptic ZDOT         0.00139706 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.22820645 +/-    0.0004
Geocenter to KBO     30.60451448 +/-    0.0005
# Hcoef:  9.32

The following table shows the complete astrometric record for 11US411. 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 (11US411) followed by the observatory code and reference code for the source of the astrometry.

2011 09  05.61026  02 05 47.994  +16 32 48.67  24.1r 11US411   568  C~1C6O      
2011 10  26.31804  02 01 16.042  +16 20 27.03  23.9r 11US411   568  C~1C6O      
2011 10  26.36119  02 01 15.765  +16 20 25.98  24.0r 11US411   568  C~1C6O      
2011 10  26.41881  02 01 15.382  +16 20 24.57        11US411   568  C~1C6O      
2011 10  31.40998  02 00 43.644  +16 18 26.28  24.2r 11US411   568  C~1C6O      
2011 10  31.45293  02 00 43.364  +16 18 25.13  23.6r 11US411   568  C~1C6O      
2011 10  31.47823  02 00 43.211  +16 18 24.44  23.9r 11US411   568  C~1C6O      
2011 10  31.48330  02 00 43.167  +16 18 24.39  24.2r 11US411   568  C~1C6O      
2011 11  24.31408  01 58 21.568  +16 08 58.08        11US411   568  C~1C6O      
2011 12  01.32873  01 57 46.026  +16 06 28.07  24.3r 11US411   568  C~1C6O      
2012 01  27.25646  01 56 12.716  +16 00 45.22  24.2r 11US411   568  C~1C6O      
2012 08  21.49424  02 14 31.820  +18 13 30.40  24.4r 11US411   568  C~1C6O      
2012 08  24.55634  02 14 26.196  +18 13 58.57  24.2r 11US411   568  C~1C6O      
2012 10  17.39961  02 10 19.702  +18 07 22.17  24.0r 11US411   568  C~1C6O      
2012 10  20.49591  02 10 00.043  +18 06 18.45  24.4r 11US411   568  C~1C6O      
2012 11  16.33116  02 07 10.679  +17 55 54.50  23.9r 11US411   568  C~1C6O      
2012 11  16.35053  02 07 10.564  +17 55 53.87  23.8r 11US411   568  C~1C6O      
2013 01  14.36299  02 03 53.371  +17 41 16.26  24.1r 11US411   568  C~1C6O      
2013 02  06.30882  02 04 29.906  +17 44 16.53  24.3r 11US411   568  C~1C6O      
2013 02  07.22795  02 04 32.784  +17 44 31.27  24.2r 11US411   568  C~1C6O      
2013 02  09.22623  02 04 39.377  +17 45 05.68  24.5r 11US411   568  C~1C6O      
2015 11  08.28008  02 33 27.57   +23 02 03.8   24.2R 11US411   G37  C~1ddG      
2015 11  08.34654  02 33 27.10   +23 02 02.9         11US411   G37  C~1ddG      

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    -0.25
  2   0.1388  -3930.19     0.08     643.89     0.23
  3   0.1389  -3934.30     0.10     644.28     0.17
  4   0.1391  -3939.96    -0.05     644.86     0.15
  5   0.1528  -4409.77    -0.07     691.77     0.16
  6   0.1529  -4413.95    -0.15     692.09     0.06
  7   0.1530  -4416.25    -0.04     692.20    -0.06
  8   0.1530  -4416.87    -0.17     692.37     0.06
  9   0.2182  -6527.50     0.10     869.62    -0.06
 10   0.2374  -7060.39     0.10     907.80    -0.11
 11   0.3933  -8442.30     0.06    1057.82    -0.18
 12   0.9607   9094.49    -0.12    3185.60    -0.01
 13   0.9691   9027.99    -0.05    3238.63    -0.08
 14   1.1165   5578.01     0.27    4030.42     0.00
 15   1.1249   5292.33     0.19    4064.12    -0.09
 16   1.1984   2805.96     0.05    4289.40     0.07
 17   1.1985   2804.21     0.03    4289.36    -0.10
 18   1.3600   -143.33    -0.15    4422.41    -0.01
 19   1.4229    409.02    -0.10    4413.30    -0.18
 20   1.4254    452.71    -0.05    4413.11    -0.17
 21   1.4308    553.01     0.05    4413.30     0.32
 22   4.1743  29933.12    -0.03   14704.95     0.06
 23   4.1745  29926.52 (  -0.15)  14706.03 (   0.68)

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.

11US411    quality flag:3

Type:          3:1EE     3:1EE     3:1EE

axisobj        63.516    63.544    63.488
ecceobj         0.508     0.508     0.508
incobj         21.992    21.992    21.991
qmin           30.781    30.748    30.779
qmax           95.925    96.287    96.097
amean          62.630    62.630    62.630
amin           61.805    61.856    61.781
amax           63.803    63.764    63.779
emean           0.475     0.483     0.467
emin            0.454     0.463     0.444
emax            0.508     0.510     0.508
imean          24.069    23.458    24.655
imin           21.807    21.707    21.807
imax           25.158    24.554    25.954
excite_mean     0.626     0.626     0.627
fracstop        1.000     1.000     1.000
cjmean          2.798     2.798     2.798

libcent 0        68.8      67.3      70.1
libamp  0        24.9      19.7      29.4
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       186.6     231.0     131.3
kozaiamp        180.0     180.0     180.0