Orbit Fit and Astrometric record for 11UJ413

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: 11UJ413   
# Created Mon Feb 19 02:37:45 2018
# Orbit generated from Bernstein formalism
# Fitting   58 observations of   58
# Arc:  14.21y
# First observation: 1998/09/22
#  Last observation: 2012/12/09
Preliminary a, adot, b, bdot, g, gdot:
  -0.004259   0.038796   0.000451  -0.002354   0.029875   0.000000
# Chi-squared of fit:    56.66 DOF:  110 RMS:  0.17
# Min/Max residuals:    -0.90    0.44
# Exact a, adot, b, bdot, g, gdot:
  2.007679E-05  3.579091E-02 -1.105732E-06 -2.125265E-03  2.801614E-02 -9.899928E-04
# Covariance matrix:
  1.2667E-13 -3.2730E-14 -2.0180E-15  2.0491E-15  4.4944E-14 -5.2264E-14
 -3.2730E-14  2.2912E-14  2.6590E-15 -1.4362E-15  1.2327E-14  4.0202E-14
 -2.0180E-15  2.6590E-15  4.8871E-14 -4.8338E-15  3.4459E-15  4.8185E-15
  2.0491E-15 -1.4362E-15 -4.8338E-15  9.7672E-16 -4.8960E-16 -2.6263E-15
  4.4944E-14  1.2327E-14  3.4459E-15 -4.8960E-16  9.3619E-14  2.0991E-14
 -5.2264E-14  4.0202E-14  4.8185E-15 -2.6263E-15  2.0991E-14  7.3392E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
  -17.304974   45.038484    0.712886   -0.206842   -0.663131  2451078.922237
# Heliocentric elements and errors
Epoch:              2451070.5000  =  1998/09/14
Mean Anomaly:          357.87768 +/-     0.001
Argument of Peri:      265.77663 +/-     0.001
Long of Asc Node:      146.34762 +/-     0.000
Inclination:            17.36084 +/-     0.000
Eccentricity:         0.51674502 +/-    0.0000
Semi-Major Axis:     75.02710033 +/-    0.0081
Time of Perihelion: 2452469.8737 +/-       0.2
Perihelion:          36.25721996 +/-    0.0053
Aphelion:           113.79698070 +/-    0.0128
Period (y)              649.8834 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           25.08378308 +/-    0.0003
Ecliptic Y           24.10004272 +/-    0.0003
Ecliptic Z          -10.61740142 +/-    0.0001
Ecliptic XDOT        -0.00258370 +/-    0.0000
Ecliptic YDOT         0.00237155 +/-    0.0000
Ecliptic ZDOT        -0.00016955 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.36945760 +/-    0.0003
Geocenter to KBO     35.69371145 +/-    0.0004
# Hcoef:  6.67

The following table shows the complete astrometric record for 11UJ413. 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 (11UJ413) followed by the observatory code and reference code for the source of the astrometry.

1998 09  22.421506 03 10 17.49   -00 14 24.8   22.2V 11UJ413   645  C~2POS      
1998 09  22.422336 03 10 17.48   -00 14 24.8   21.9V 11UJ413   645  C~2POS      
1998 09  22.424823 03 10 17.48   -00 14 24.8   22.8V 11UJ413   645  C~2POS      
1998 09  25.413279 03 10 08.77   -00 16 09.9   22.1V 11UJ413   645  C~2POS      
1998 09  25.414108 03 10 08.77   -00 16 09.9   21.9V 11UJ413   645  C~2POS      
1998 11  15.271311 03 06 20.84   -00 41 18.1   22.6V 11UJ413   645  C~2POS      
1998 11  15.272140 03 06 20.82   -00 41 18.1   21.7V 11UJ413   645  C~2POS      
1998 11  15.274626 03 06 20.82   -00 41 18.1   23.2V 11UJ413   645  C~2POS      
1998 11  19.260239 03 06 00.38   -00 42 30.2   22.0V 11UJ413   645  C~2POS      
1998 11  19.261068 03 06 00.36   -00 42 30.1   21.6V 11UJ413   645  C~2POS      
1998 11  19.263556 03 06 00.35   -00 42 30.3   22.6V 11UJ413   645  C~2POS      
1998 11  21.254604 03 05 50.21   -00 43 02.6   22.0V 11UJ413   645  C~2POS      
1998 11  21.255433 03 05 50.21   -00 43 02.6   22.5V 11UJ413   645  C~2POS      
1998 11  21.257921 03 05 50.21   -00 43 02.7   22.6V 11UJ413   645  C~2POS      
2000 11  18.249057 03 22 15.57   +00 13 28.0   22.1V 11UJ413   645  C~2POS      
2000 11  18.249887 03 22 15.56   +00 13 28.2   22.0V 11UJ413   645  C~2POS      
2000 11  18.252375 03 22 15.56   +00 13 27.9   22.7V 11UJ413   645  C~2POS      
2001 09  18.467236 03 34 33.82   +01 10 42.4   22.4V 11UJ413   645  C~2POS      
2001 09  18.468065 03 34 33.82   +01 10 42.4   22.2V 11UJ413   645  C~2POS      
2001 09  18.470553 03 34 33.81   +01 10 42.2   22.4V 11UJ413   645  C~2POS      
2001 09  19.404140 03 34 31.96   +01 10 11.3   22.5V 11UJ413   645  C~2POS      
2001 09  19.404969 03 34 31.95   +01 10 11.2   22.2V 11UJ413   645  C~2POS      
2001 09  19.407457 03 34 31.96   +01 10 11.0   23.1V 11UJ413   645  C~2POS      
2001 09  21.380210 03 34 27.79   +01 09 05.2   22.0V 11UJ413   645  C~2POS      
2001 09  21.381039 03 34 27.78   +01 09 05.2   21.8V 11UJ413   645  C~2POS      
2001 09  21.383527 03 34 27.77   +01 09 05.2   22.7V 11UJ413   645  C~2POS      
2001 11  11.358202 03 31 00.70   +00 43 40.9   22.3V 11UJ413   645  C~2POS      
2001 11  11.359032 03 31 00.69   +00 43 41.0   21.9V 11UJ413   645  C~2POS      
2001 11  11.361519 03 31 00.69   +00 43 41.0   22.9V 11UJ413   645  C~2POS      
2001 11  21.314089 03 30 08.62   +00 40 33.6   21.8V 11UJ413   645  C~2POS      
2001 11  21.314918 03 30 08.61   +00 40 33.5   21.2V 11UJ413   645  C~2POS      
2001 11  21.317406 03 30 08.60   +00 40 33.5   22.4V 11UJ413   645  C~2POS      
2001 12  18.275836 03 27 58.05   +00 37 12.2         11UJ413   645  C~2POS      
2001 12  18.276665 03 27 58.05   +00 37 12.4         11UJ413   645  C~2POS      
2001 12  18.279153 03 27 58.06   +00 37 12.4         11UJ413   645  C~2POS      
2002 01  09.142651 03 26 43.66   +00 40 29.7   23.0V 11UJ413   645  C~2POS      
2002 01  09.143480 03 26 43.66   +00 40 29.7   22.4V 11UJ413   645  C~2POS      
2002 01  09.145968 03 26 43.66   +00 40 29.6   22.6V 11UJ413   645  C~2POS      
2002 01  13.155450 03 26 34.56   +00 41 40.4   22.2V 11UJ413   645  C~2POS      
2002 01  13.156279 03 26 34.56   +00 41 40.4   22.3V 11UJ413   645  C~2POS      
2002 01  13.158767 03 26 34.56   +00 41 40.5   22.6V 11UJ413   645  C~2POS      
2002 11  07.357643 03 39 30.70   +01 13 03.0   21.9V 11UJ413   645  C~2POS      
2002 11  07.358472 03 39 30.70   +01 13 03.0   22.1V 11UJ413   645  C~2POS      
2002 11  07.360960 03 39 30.70   +01 13 02.9   22.7V 11UJ413   645  C~2POS      
2011 10  23.45176  04 52 50.763  +05 16 14.63  22.7w 11UJ413   F51  C~1w3o      
2011 10  23.46663  04 52 50.708  +05 16 14.05  22.8w 11UJ413   F51  C~1w3o      
2011 10  23.48152  04 52 50.661  +05 16 13.63  22.8w 11UJ413   F51  C~1w3o      
2011 10  23.49646  04 52 50.600  +05 16 13.20  22.8w 11UJ413   F51  C~1w3o      
2011 12  01.34466  04 49 51.529  +05 04 37.23  22.7w 11UJ413   F51  C~1w3o      
2011 12  01.35853  04 49 51.443  +05 04 36.90  23.2w 11UJ413   F51  C~1w3o      
2011 12  01.37240  04 49 51.369  +05 04 37.07  23.1w 11UJ413   F51  C~1w3o      
2011 12  01.38618  04 49 51.304  +05 04 36.84  22.9w 11UJ413   F51  C~1w3o      
2011 12  16.38697  04 48 31.432  +05 03 08.22  22.2r 11UJ413   F51  C~1w3o      
2011 12  16.41305  04 48 31.293  +05 03 08.31  22.0i 11UJ413   F51  C~1w3o      
2012 11  08.54069  04 59 34.621  +05 34 13.61  21.9r 11UJ413   F51  C~1w3o      
2012 11  08.54700  04 59 34.538  +05 34 13.27  21.9r 11UJ413   F51  C~1w3o      
2012 11  08.55412  04 59 34.551  +05 34 13.82  21.4r 11UJ413   F51  C~1w3o      
2012 12  09.40336  04 56 57.854  +05 27 52.08  22.4w 11UJ413   F51  C~1w3o      

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     0.03       0.00    -0.02
  2   0.0000     -0.14    -0.08       0.04     0.04
  3   0.0000     -0.14     0.05       0.04     0.09
  4   0.0082   -155.07    -0.04     -64.10     0.09
  5   0.0082   -155.07     0.01     -64.10     0.11
  6   0.1474  -3860.42     0.27    -550.80    -0.04
  7   0.1474  -3860.70     0.05    -550.72     0.04
  8   0.1474  -3860.70     0.25    -550.72     0.03
  9   0.1584  -4175.31     0.17    -533.79    -0.07
 10   0.1584  -4175.57    -0.03    -533.61     0.10
 11   0.1584  -4175.77    -0.03    -533.76    -0.06
 12   0.1638  -4330.87    -0.31    -522.03     0.06
 13   0.1638  -4330.87    -0.25    -522.03     0.05
 14   0.1638  -4330.90    -0.08    -522.13    -0.06
 15   2.1570  10817.12     0.10   -1424.00    -0.01
 16   2.1570  10817.04     0.08   -1423.76     0.22
 17   2.1570  10816.95     0.20   -1424.05    -0.08
 18   2.9899  22487.54    -0.01   -1238.68     0.04
 19   2.9899  22487.54     0.02   -1238.68     0.06
 20   2.9899  22487.34    -0.08   -1238.83    -0.04
 21   2.9924  22451.63    -0.12   -1260.84     0.10
 22   2.9924  22451.46    -0.26   -1260.89     0.06
 23   2.9924  22451.55    -0.07   -1261.13    -0.12
 24   2.9978  22372.16     0.14   -1307.01    -0.21
 25   2.9978  22372.02     0.03   -1306.96    -0.15
 26   2.9978  22371.87    -0.01   -1306.92    -0.05
 27   3.1374  18929.24     0.13   -1900.56    -0.12
 28   3.1374  18929.13     0.08   -1900.42     0.02
 29   3.1374  18929.13     0.29   -1900.42     0.02
 30   3.1647  18120.41     0.13   -1860.53     0.06
 31   3.1647  18120.24     0.02   -1860.59     0.00
 32   3.1647  18120.09     0.08   -1860.55     0.03
 33   3.2385  16170.65     0.03   -1501.98    -0.09
 34   3.2385  16170.71     0.14   -1501.79     0.09
 35   3.2385  16170.85     0.44   -1501.83    -0.00
 36   3.2983  15149.25    -0.45    -997.39     0.04
 37   3.2983  15149.25    -0.42    -997.39     0.02
 38   3.2984  15149.22    -0.37    -997.48    -0.14
 39   3.3093  15037.49    -0.02    -890.90     0.02
 40   3.3093  15037.49    -0.00    -890.90    -0.01
 41   3.3093  15037.52     0.09    -890.80     0.02
 42   4.1258  26863.52    -0.23   -2361.30    -0.07
 43   4.1258  26863.52    -0.16   -2361.30    -0.07
 44   4.1258  26863.49     0.02   -2361.40    -0.17
 45  13.0843 101225.42     0.17   -6744.10     0.39
 46  13.0843 101224.25     0.04   -6744.47     0.16
 47  13.0844 101223.27     0.12   -6744.71     0.07
 48  13.0844 101222.04    -0.06   -6744.90     0.04
 49  13.1908  97812.98     0.07   -6687.99     0.06
 50  13.1908  97811.35    -0.18   -6687.96    -0.10
 51  13.1908  97810.09    -0.07   -6687.45     0.22
 52  13.1909  97808.87     0.08   -6687.40     0.08
 53  13.2319  96371.63     0.20   -6425.13    -0.20
 54  13.2320  96369.21     0.24   -6424.41    -0.06
 55  14.1304 108921.26     0.17   -7395.67    -0.41
 56  14.1304 108919.62    -0.90   -7395.66    -0.40
 57  14.1304 108920.04     0.16   -7395.12     0.14
 58  14.2149 105918.30     0.10   -7102.33     0.21

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.

11UJ413    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        75.432    75.457    75.408
ecceobj         0.519     0.520     0.519
incobj         17.364    17.364    17.364
qmin           35.521    35.522    35.523
qmax          115.900   114.662   114.892
amean          74.448    74.050    74.107
amin           73.028    72.993    72.956
amax           76.296    75.557    75.645
emean           0.508     0.505     0.506
emin            0.490     0.491     0.490
emax            0.523     0.520     0.521
imean          16.882    16.901    16.827
imin           16.050    16.064    16.058
imax           17.762    17.670    17.769
excite_mean     0.585     0.583     0.583
fracstop        1.000     1.000     1.000
cjmean          2.996     2.997     2.997

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       198.9     179.9     205.4
kozaiamp        179.9     179.9     180.0