Orbit Fit and Astrometric record for 451657

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: 451657    
# Created Tue Oct 24 01:36:47 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   63 observations of   63
# Arc:   8.25y
# First observation: 2008/10/31
#  Last observation: 2017/01/29
# Chi-squared of fit:    60.45 DOF:  120 RMS:  0.17
# Min/Max residuals:    -0.41    0.86
# Exact a, adot, b, bdot, g, gdot:
  1.314056E-05  1.746089E-02 -6.222371E-06 -6.245120E-03  1.999264E-02 -8.342386E-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
  -13.966593   30.928339   -0.129894   -0.237873   -0.956588  2454770.843150
# Heliocentric elements and errors
Epoch:              2454770.5000  =  2008/10/31
Mean Anomaly:          332.84530 +/-     0.000
Argument of Peri:      293.60075 +/-     0.000
Long of Asc Node:      177.28313 +/-     0.000
Inclination:            23.66823 +/-     0.000
Eccentricity:         0.50827172 +/-    0.0000
Semi-Major Axis:     76.32361514 +/-    0.0000
Time of Perihelion: 2473141.3559 +/-       0.0
Perihelion:          37.53048010 +/-    0.0000
Aphelion:           115.11675019 +/-    0.0000
Period (y)              666.8016 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           42.41803338 +/-    0.0000
Ecliptic Y           25.56162384 +/-    0.0000
Ecliptic Z          -12.07255110 +/-    0.0000
Ecliptic XDOT        -0.00235112 +/-    0.0000
Ecliptic YDOT         0.00137768 +/-    0.0000
Ecliptic ZDOT        -0.00055432 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   50.97515061 +/-    0.0000
Geocenter to KBO     50.01876344 +/-    0.0000
# Hcoef:  7.21

The following table shows the complete astrometric record for 451657. 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 (451657) followed by the observatory code and reference code for the source of the astrometry.

2008 10  31.342396 02 14 30.19   -01 19 12.8         451657    645  C~1fK1      
2008 10  31.343218 02 14 30.18   -01 19 12.8         451657    645  C~1fK1      
2008 10  31.345706 02 14 30.17   -01 19 12.9         451657    645  C~1fK1      
2012 11  19.046597 02 30 54.52   -01 23 29.3         451657    W84  C~1CL9      
2012 11  19.071435 02 30 54.42   -01 23 29.5         451657    W84  C~1CL9      
2012 11  19.077280 02 30 54.38   -01 23 29.6         451657    W84  C~1CL9      
2012 11  19.082766 02 30 54.37   -01 23 29.6         451657    W84  C~1CL9      
2012 11  19.085532 02 30 54.36   -01 23 29.6         451657    W84  C~1CL9      
2012 12  08.195880 02 29 49.17   -01 26 48.1         451657    W84  C~1CL9      
2012 12  08.198611 02 29 49.17   -01 26 48.2         451657    W84  C~1CL9      
2013 12  28.133750 02 33 32.38   -01 26 33.7         451657    W84  C~1CL9      
2013 12  28.135116 02 33 32.38   -01 26 33.8         451657    W84  C~1CL9      
2014 08  21.331377 02 44 31.17   -00 43 12.2   23.6r 451657    W84  C~1CL9      
2014 08  21.333727 02 44 31.15   -00 43 12.1   23.1i 451657    W84  C~1CL9      
2014 09  27.283576 02 43 26.40   -01 00 50.9   23.8r 451657    W84  C~1CL9      
2014 09  27.289722 02 43 26.40   -01 00 51.2   23.2z 451657    W84  C~1CL9      
2014 10  02.220718 02 43 11.37   -01 03 18.2   23.6r 451657    W84  C~1CL9      
2014 10  02.226875 02 43 11.34   -01 03 18.5   23.3z 451657    W84  C~1CL9      
2014 10  13.207384 02 42 34.02   -01 08 37.0   23.9i 451657    W84  C~1CL9      
2014 10  13.211181 02 42 34.01   -01 08 37.0   23.2z 451657    W84  C~1CL9      
2014 10  22.118756 02 42 00.69   -01 12 39.5   24.7g 451657    W84  C~1CL9      
2014 10  22.120961 02 42 00.68   -01 12 39.5   23.6r 451657    W84  C~1CL9      
2014 10  22.127118 02 42 00.66   -01 12 39.6   23.5z 451657    W84  C~1CL9      
2014 10  29.105694 02 41 33.30   -01 15 34.9   23.8i 451657    W84  C~1CL9      
2014 10  29.109491 02 41 33.29   -01 15 34.9   23.3z 451657    W84  C~1CL9      
2015 08  19.406308 02 49 13.42   -00 41 32.7   23.4i 451657    W84  C~1bQk      
2015 08  19.410104 02 49 13.43   -00 41 32.4   23.3z 451657    W84  C~1bQk      
2015 08  24.358999 02 49 11.58   -00 43 39.7   24.4g 451657    W84  C~1bQk      
2015 08  24.361215 02 49 11.60   -00 43 39.6   23.1r 451657    W84  C~1bQk      
2015 08  24.363588 02 49 11.59   -00 43 39.6   23.5i 451657    W84  C~1bQk      
2015 08  24.367419 02 49 11.58   -00 43 39.7   23.9z 451657    W84  C~1bQk      
2015 10  09.208461 02 47 33.59   -01 06 02.9   23.5r 451657    W84  C~1bQk      
2015 10  09.210810 02 47 33.57   -01 06 03.4   23.5i 451657    W84  C~1bQk      
2015 11  03.169693 02 45 58.43   -01 17 00.5   23.7g 451657    W84  C~1j73      
2015 11  03.171910 02 45 58.42   -01 17 00.5   23.3r 451657    W84  C~1j73      
2015 11  03.178287 02 45 58.39   -01 17 00.6   23.4z 451657    W84  C~1j73      
2015 11  29.215532 02 44 15.90   -01 24 25.3   23.7i 451657    W84  C~1hTC      
2015 12  09.108455 02 43 41.54   -01 25 47.7   23.9g 451657    W84  C~1hTC      
2015 12  09.110671 02 43 41.54   -01 25 47.6   23.5r 451657    W84  C~1hTC      
2015 12  09.113032 02 43 41.53   -01 25 47.7   23.4i 451657    W84  C~1hTC      
2015 12  09.117083 02 43 41.53   -01 25 47.8   23.3z 451657    W84  C~1hTC      
2015 12  16.109144 02 43 19.97   -01 26 14.3   23.3z 451657    W84  C~1hTC      
2015 12  29.065284 02 42 47.55   -01 25 51.7   24.1g 451657    W84  C~1j73      
2015 12  29.067500 02 42 47.57   -01 25 51.9   23.8r 451657    W84  C~1hTC      
2015 12  29.069873 02 42 47.56   -01 25 51.9   23.5i 451657    W84  C~1hTC      
2016 01  09.099641 02 42 28.96   -01 24 21.9   23.4r 451657    W84  C~1j73      
2016 01  09.102002 02 42 28.96   -01 24 21.9   23.8i 451657    W84  C~1j73      
2016 01  09.104664 02 42 28.95   -01 24 22.0   23.2z 451657    W84  C~1j73      
2016 01  09.105995 02 42 28.95   -01 24 22.0   23.2z 451657    W84  C~27du      
2016 01  16.099792 02 42 21.98   -01 22 52.8   23.7r 451657    W84  C~1k1D      
2016 01  16.102176 02 42 21.97   -01 22 52.8   23.5i 451657    W84  C~1k1D      
2016 01  16.106146 02 42 21.97   -01 22 52.7   23.6z 451657    W84  C~1k1D      
2016 12  17.173704 02 48 00.71   -01 25 55.1   22.9i 451657    W84  C~27du      
2016 12  17.180336 02 48 00.70   -01 25 55.0   23.1z 451657    W84  C~27du      
2016 12  24.044392 02 47 42.31   -01 25 48.2   24.4g 451657    W84  C~27du      
2016 12  24.046597 02 47 42.29   -01 25 48.1   23.3r 451657    W84  C~27du      
2016 12  24.048958 02 47 42.27   -01 25 48.1   23.6i 451657    W84  C~27du      
2016 12  24.052940 02 47 42.28   -01 25 48.2   23.3z 451657    W84  C~27du      
2017 01  03.087593 02 47 20.94   -01 24 51.4   22.8z 451657    W84  C~27du      
2017 01  17.054097 02 47 03.72   -01 22 05.0   23.5r 451657    W84  C~27du      
2017 01  17.056458 02 47 03.72   -01 22 05.2   23.0i 451657    W84  C~27du      
2017 01  17.063079 02 47 03.72   -01 22 05.1   23.5z 451657    W84  C~27du      
2017 01  29.056956 02 47 01.47   -01 18 29.1   23.4r 451657    W84  C~27du      

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     0.01       0.00     0.86
  2   0.0000      0.00    -0.02       0.00     0.33
  3   0.0000      0.00    -0.03       0.00     0.28
  4   4.0512      0.00     0.26       0.00    -0.23
  5   4.0513      0.00     0.17       0.00    -0.06
  6   4.0513      0.00    -0.10       0.00    -0.07
  7   4.0513      0.00     0.07       0.00     0.01
  8   4.0513      0.00     0.07       0.00     0.05
  9   4.1036      0.00     0.07       0.00    -0.15
 10   4.1036      0.00     0.20       0.00    -0.23
 11   5.1575      0.00    -0.06       0.00    -0.25
 12   5.1575      0.00    -0.02       0.00    -0.36
 13   5.8042      0.00     0.17       0.00    -0.41
 14   5.8042      0.00    -0.11       0.00    -0.26
 15   5.9054      0.00    -0.09       0.00    -0.01
 16   5.9054      0.00     0.18       0.00    -0.13
 17   5.9189      0.00    -0.05       0.00     0.04
 18   5.9189      0.00    -0.20       0.00    -0.07
 19   5.9490      0.00    -0.11       0.00    -0.13
 20   5.9490      0.00    -0.05       0.00    -0.02
 21   5.9734      0.00     0.11       0.00    -0.16
 22   5.9734      0.00     0.09       0.00    -0.10
 23   5.9734      0.00     0.15       0.00    -0.04
 24   5.9925      0.00     0.06       0.00    -0.01
 25   5.9925      0.00     0.14       0.00     0.08
 26   6.7983      0.00    -0.07       0.00    -0.15
 27   6.7983      0.00     0.10       0.00     0.25
 28   6.8118      0.00    -0.20       0.00     0.01
 29   6.8118      0.00     0.12       0.00     0.17
 30   6.8118      0.00    -0.01       0.00     0.23
 31   6.8118      0.00    -0.12       0.00     0.23
 32   6.9373      0.00     0.13       0.00     0.15
 33   6.9374      0.00    -0.04       0.00    -0.29
 34   7.0057      0.00     0.38       0.00    -0.22
 35   7.0057      0.00     0.37       0.00    -0.17
 36   7.0057      0.00     0.31       0.00    -0.13
 37   7.0770      0.00     0.14       0.00     0.12
 38   7.1041      0.00    -0.11       0.00     0.05
 39   7.1041      0.00     0.00       0.00     0.16
 40   7.1041      0.00    -0.03       0.00     0.08
 41   7.1041      0.00     0.17       0.00    -0.00
 42   7.1232      0.00     0.08       0.00    -0.22
 43   7.1587      0.00    -0.20       0.00     0.26
 44   7.1587      0.00     0.17       0.00     0.04
 45   7.1587      0.00     0.09       0.00     0.03
 46   7.1889      0.00    -0.13       0.00     0.24
 47   7.1889      0.00    -0.08       0.00     0.21
 48   7.1889      0.00    -0.18       0.00     0.08
 49   7.1889      0.00    -0.15       0.00     0.07
 50   7.2081      0.00    -0.07       0.00     0.16
 51   7.2081      0.00    -0.19       0.00     0.13
 52   7.2081      0.00    -0.15       0.00     0.17
 53   8.1282      0.00     0.08       0.00     0.04
 54   8.1282      0.00     0.22       0.00     0.15
 55   8.1470      0.00     0.26       0.00     0.05
 56   8.1470      0.00     0.04       0.00     0.15
 57   8.1470      0.00    -0.17       0.00     0.14
 58   8.1471      0.00     0.13       0.00     0.03
 59   8.1745      0.00    -0.04       0.00     0.14
 60   8.2128      0.00    -0.02       0.00     0.16
 61   8.2128      0.00     0.00       0.00    -0.08
 62   8.2128      0.00     0.08       0.00    -0.08
 63   8.2456      0.00     0.12       0.00    -0.11

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.

451657    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        77.654    77.654    77.655
ecceobj         0.515     0.515     0.515
incobj         23.620    23.620    23.620
qmin           36.635    36.613    36.652
qmax          118.800   118.953   119.062
amean          76.616    76.627    76.627
amin           75.586    75.487    75.603
amax           78.149    78.157    78.205
emean           0.504     0.504     0.504
emin            0.489     0.489     0.490
emax            0.522     0.522     0.522
imean          23.770    23.773    23.772
imin           22.960    22.963    22.962
imax           24.462    24.466    24.446
excite_mean     0.645     0.645     0.645
fracstop        1.000     1.000     1.000
cjmean          2.914     2.914     2.914

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       159.7     159.3     159.4
kozaiamp        180.0     180.0     180.0