Orbit Fit and Astrometric record for 13HU156

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: 13HU156   
# Created Tue Oct 24 01:38:14 2017
# Orbit generated from Bernstein formalism
# Fitting   75 observations of   75
# Arc:  11.14y
# First observation: 2004/04/16
#  Last observation: 2015/06/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.000919   0.028961  -0.000116   0.008321   0.032544   0.000000
# Chi-squared of fit:    23.12 DOF:  144 RMS:  0.10
# Min/Max residuals:    -0.32    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.663438E-05  2.884681E-02  3.994936E-06  8.354380E-03  2.804077E-02  3.217939E-03
# Covariance matrix:
  4.7509E-13 -1.0325E-13  3.5026E-14 -1.9442E-14 -5.8031E-14 -1.9104E-13
 -1.0325E-13  4.3132E-14 -2.0524E-14  1.1590E-14  2.6251E-14  1.1515E-13
  3.5026E-14 -2.0524E-14  3.6963E-13 -4.2588E-14 -1.4212E-14 -6.0115E-14
 -1.9442E-14  1.1590E-14 -4.2588E-14  7.3897E-15  6.3271E-15  3.4577E-14
 -5.8031E-14  2.6251E-14 -1.4212E-14  6.3271E-15  8.4904E-14  5.2119E-14
 -1.9104E-13  1.1515E-13 -6.0115E-14  3.4577E-14  5.2119E-14  3.4753E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.465173 -136.387629    0.289637    0.223228   -0.932124  2453111.810643
# Heliocentric elements and errors
Epoch:              2453110.5000  =  2004/04/15
Mean Anomaly:           46.16572 +/-     0.008
Argument of Peri:      342.02347 +/-     0.011
Long of Asc Node:      185.21912 +/-     0.000
Inclination:            20.76137 +/-     0.000
Eccentricity:         0.12603243 +/-    0.0000
Semi-Major Axis:     39.68743676 +/-    0.0017
Time of Perihelion: 2441399.4685 +/-       2.0
Perihelion:          34.68553254 +/-    0.0018
Aphelion:            44.68934097 +/-    0.0022
Period (y)              250.0275 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -26.00773859 +/-    0.0003
Ecliptic Y          -24.37255679 +/-    0.0003
Ecliptic Z            8.30430492 +/-    0.0001
Ecliptic XDOT         0.00185597 +/-    0.0000
Ecliptic YDOT        -0.00212591 +/-    0.0000
Ecliptic ZDOT         0.00086658 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.59761565 +/-    0.0002
Geocenter to KBO     35.66236127 +/-    0.0004
# Hcoef:  5.53

The following table shows the complete astrometric record for 13HU156. 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 (13HU156) followed by the observatory code and reference code for the source of the astrometry.

2004 04  16.30990  15 00 38.60   -03 02 57.5   21.6R 13HU156   644  C~1vWy      
2004 04  16.38790  15 00 38.23   -03 02 54.9   21.3R 13HU156   644  C~1vWy      
2004 04  16.45736  15 00 37.88   -03 02 52.8   20.5R 13HU156   644  C~1vWy      
2011 04  30.49442  15 46 51.907  -02 59 36.87  21.5g 13HU156   F51  C~1vWy      
2011 04  30.50625  15 46 51.847  -02 59 36.54  21.8g 13HU156   F51  C~1vWy      
2011 04  30.52247  15 46 51.776  -02 59 36.09  20.9r 13HU156   F51  C~1vWy      
2011 04  30.53360  15 46 51.712  -02 59 35.82  21.1r 13HU156   F51  C~1vWy      
2011 05  01.43392  15 46 47.358  -02 59 10.09  21.2w 13HU156   F51  C~1vWy      
2011 05  01.44803  15 46 47.288  -02 59 09.69  21.1w 13HU156   F51  C~1vWy      
2011 05  01.46223  15 46 47.221  -02 59 09.27  21.2w 13HU156   F51  C~1vWy      
2011 05  01.47627  15 46 47.148  -02 59 08.87  21.2w 13HU156   F51  C~1vWy      
2012 04  24.50320  15 53 50.543  -03 01 57.92  21.8g 13HU156   F51  C~1vWy      
2012 04  24.51394  15 53 50.494  -03 01 57.63  21.4g 13HU156   F51  C~1vWy      
2012 04  24.52407  15 53 50.455  -03 01 57.51  20.8r 13HU156   F51  C~1vWy      
2012 04  24.53388  15 53 50.410  -03 01 57.21  21.1r 13HU156   F51  C~1vWy      
2013 04  19.51740  16 00 44.296  -03 04 16.76  21.2w 13HU156   F51  C~1vWy      
2013 04  19.53025  16 00 44.236  -03 04 16.35  21.3w 13HU156   F51  C~1vWy      
2013 04  19.54380  16 00 44.183  -03 04 15.97  21.1w 13HU156   F51  C~1vWy      
2013 04  19.55668  16 00 44.125  -03 04 15.58  21.3w 13HU156   F51  C~1vWy      
2013 05  12.44445  15 58 56.528  -02 53 40.70  21.2w 13HU156   F51  C~1vWy      
2013 05  12.45771  15 58 56.461  -02 53 40.35  21.1w 13HU156   F51  C~1vWy      
2013 05  12.47094  15 58 56.394  -02 53 40.05  21.1w 13HU156   F51  C~1vWy      
2013 05  12.48416  15 58 56.323  -02 53 39.75  21.2w 13HU156   F51  C~1vWy      
2013 06  18.33904  15 55 51.667  -02 44 50.75  20.8i 13HU156   F51  C~1vWy      
2013 06  18.35012  15 55 51.627  -02 44 50.65  20.8i 13HU156   F51  C~1vWy      
2013 06  18.36161  15 55 51.582  -02 44 50.54  21.0r 13HU156   F51  C~1vWy      
2013 06  18.37178  15 55 51.515  -02 44 50.51  21.0r 13HU156   F51  C~1vWy      
2014 04  05.56455  16 08 03.180  -03 11 27.48  21.2w 13HU156   F51  C~1vWy      
2014 04  05.57683  16 08 03.145  -03 11 27.02  21.2w 13HU156   F51  C~1vWy      
2014 04  05.58911  16 08 03.105  -03 11 26.68  21.2w 13HU156   F51  C~1vWy      
2014 04  05.60143  16 08 03.068  -03 11 26.18  21.4w 13HU156   F51  C~1vWy      
2014 04  22.58768  16 07 00.778  -03 02 21.33  20.7i 13HU156   F51  C~1vWy      
2014 04  22.60277  16 07 00.735  -03 02 20.90  20.8i 13HU156   F51  C~1vWy      
2014 04  22.61030  16 07 00.703  -03 02 20.82  20.8i 13HU156   F51  C~1vWy      
2014 06  02.35751  16 03 40.062  -02 46 54.16  21.2w 13HU156   F51  C~1vWy      
2014 06  02.36874  16 03 40.007  -02 46 53.98  21.1w 13HU156   F51  C~1vWy      
2014 06  02.37998  16 03 39.951  -02 46 53.84  21.2w 13HU156   F51  C~1vWy      
2014 06  02.39125  16 03 39.888  -02 46 53.75  21.2w 13HU156   F51  C~1vWy      
2014 06  16.41211  16 02 30.892  -02 44 42.28  21.2r 13HU156   F51  C~1vWy      
2014 06  16.42363  16 02 30.827  -02 44 42.41  21.2r 13HU156   F51  C~1vWy      
2014 06  16.43535  16 02 30.771  -02 44 42.01  21.4r 13HU156   F51  C~1vWy      
2014 06  16.44705  16 02 30.716  -02 44 42.40  21.2r 13HU156   F51  C~1vWy      
2014 06  22.38357  16 02 03.707  -02 44 19.81  21.3w 13HU156   F51  C~1vWy      
2014 06  22.39513  16 02 03.646  -02 44 20.05  21.4w 13HU156   F51  C~1vWy      
2014 06  22.40664  16 02 03.604  -02 44 19.99  21.7w 13HU156   F51  C~1vWy      
2014 06  22.41816  16 02 03.547  -02 44 20.02  21.6w 13HU156   F51  C~1vWy      
2014 06  30.38091  16 01 30.195  -02 44 22.41  21.2w 13HU156   F51  C~1vWy      
2014 06  30.39230  16 01 30.151  -02 44 22.52  21.2w 13HU156   F51  C~1vWy      
2014 06  30.40365  16 01 30.104  -02 44 22.55  21.2w 13HU156   F51  C~1vWy      
2014 07  27.33191  16 00 10.955  -02 48 51.70  21.3w 13HU156   F51  C~1vWy      
2014 07  27.34478  16 00 10.942  -02 48 52.04  21.3w 13HU156   F51  C~1vWy      
2014 07  27.35770  16 00 10.916  -02 48 52.23  21.5w 13HU156   F51  C~1vWy      
2014 07  29.30939  16 00 07.594  -02 49 26.22  21.3w 13HU156   F51  C~1vWy      
2014 07  29.32148  16 00 07.576  -02 49 26.59  21.1w 13HU156   F51  C~1vWy      
2014 07  29.33355  16 00 07.550  -02 49 26.65  21.2w 13HU156   F51  C~1vWy      
2014 07  29.34563  16 00 07.531  -02 49 26.93  21.2w 13HU156   F51  C~1vWy      
2014 07  30.33292  16 00 05.988  -02 49 44.86  21.3w 13HU156   F51  C~1vWy      
2014 07  30.34489  16 00 05.968  -02 49 45.12  21.3w 13HU156   F51  C~1vWy      
2014 07  30.35683  16 00 05.947  -02 49 45.38  21.2w 13HU156   F51  C~1vWy      
2014 07  30.36878  16 00 05.936  -02 49 45.48  21.3w 13HU156   F51  C~1vWy      
2014 08  17.25517  15 59 54.564  -02 56 22.45  21.3w 13HU156   F51  C~1vWy      
2014 08  17.26729  15 59 54.552  -02 56 22.84  21.3w 13HU156   F51  C~1vWy      
2014 08  17.27936  15 59 54.558  -02 56 23.03  21.5w 13HU156   F51  C~1vWy      
2014 08  17.29140  15 59 54.562  -02 56 23.44  21.5w 13HU156   F51  C~1vWy      
2015 05  18.52152  16 11 25.601  -02 50 42.54  21.1w 13HU156   F51  C~1vWy      
2015 05  18.53211  16 11 25.543  -02 50 42.43  21.2w 13HU156   F51  C~1vWy      
2015 05  18.54270  16 11 25.494  -02 50 42.10  21.1w 13HU156   F51  C~1vWy      
2015 05  18.55326  16 11 25.436  -02 50 41.88  21.0w 13HU156   F51  C~1vWy      
2015 05  19.42623  16 11 20.974  -02 50 24.04  21.1w 13HU156   F51  C~1vWy      
2015 05  19.43688  16 11 20.914  -02 50 23.81  21.1w 13HU156   F51  C~1vWy      
2015 05  19.45822  16 11 20.804  -02 50 23.31  21.3w 13HU156   F51  C~1vWy      
2015 06  07.42797  16 09 43.397  -02 45 29.27  20.9i 13HU156   F51  C~1vWy      
2015 06  07.43958  16 09 43.343  -02 45 29.28  20.8i 13HU156   F51  C~1vWy      
2015 06  07.45116  16 09 43.282  -02 45 29.15  20.9i 13HU156   F51  C~1vWy      
2015 06  07.46278  16 09 43.214  -02 45 29.10  20.9i 13HU156   F51  C~1vWy      

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    -0.08       0.00     0.15
  2   0.0002     -6.06     0.05       0.89     0.15
  3   0.0004    -11.68    -0.07       1.39    -0.15
  4   7.0368  40329.84     0.06   12124.76     0.04
  5   7.0368  40328.85     0.04   12124.82     0.02
  6   7.0369  40327.66     0.18   12124.96     0.04
  7   7.0369  40326.62     0.05   12124.94    -0.04
  8   7.0394  40254.07     0.07   12131.26     0.02
  9   7.0394  40252.91     0.07   12131.34     0.02
 10   7.0394  40251.79     0.11   12131.46     0.05
 11   7.0395  40250.58     0.06   12131.54     0.03
 12   8.0224  46686.61    -0.09   13810.93    -0.05
 13   8.0225  46685.78    -0.07   13811.01    -0.07
 14   8.0225  46685.16     0.10   13810.95    -0.22
 15   8.0225  46684.39     0.11   13811.05    -0.22
 16   9.0081  53061.70    -0.05   15491.93     0.06
 17   9.0081  53060.66    -0.13   15492.08     0.05
 18   9.0082  53059.73    -0.05   15492.22     0.03
 19   9.0082  53058.73    -0.09   15492.35     0.00
 20   9.0709  51221.06    -0.04   15648.45    -0.11
 21   9.0709  51219.93    -0.02   15648.50    -0.07
 22   9.0709  51218.82     0.01   15648.50    -0.07
 23   9.0710  51217.64    -0.03   15648.48    -0.09
 24   9.1719  48239.43    -0.16   15358.30    -0.11
 25   9.1719  48238.79    -0.00   15358.22    -0.01
 26   9.1719  48238.07     0.10   15358.13     0.09
 27   9.1720  48237.04    -0.20   15357.86    -0.02
 28   9.9692  60020.92    -0.01   17008.95    -0.15
 29   9.9692  60020.24     0.03   17009.26    -0.08
 30   9.9693  60019.51     0.02   17009.42    -0.16
 31   9.9693  60018.79     0.02   17009.76    -0.06
 32  10.0158  58885.27    -0.32   17278.95    -0.11
 33  10.0159  58884.48     0.04   17279.19    -0.03
 34  10.0159  58883.95     0.09   17279.13    -0.18
 35  10.1274  55487.53    -0.02   17311.71    -0.07
 36  10.1275  55486.63     0.02   17311.64    -0.03
 37  10.1275  55485.72     0.06   17311.53    -0.02
 38  10.1275  55484.71     0.01   17311.34    -0.10
 39  10.1659  54376.32     0.08   17135.12     0.08
 40  10.1660  54375.35    -0.02   17134.70    -0.16
 41  10.1660  54374.37    -0.12   17134.85     0.18
 42  10.1660  54373.63     0.02   17134.22    -0.27
 43  10.1823  53948.80     0.05   17036.51     0.33
 44  10.1823  53947.92    -0.01   17036.00     0.03
 45  10.1823  53947.25     0.13   17035.87     0.11
 46  10.1824  53946.38     0.07   17035.58     0.03
 47  10.2042  53431.04    -0.13   16884.84     0.06
 48  10.2042  53430.39    -0.08   16884.53    -0.01
 49  10.2042  53429.67    -0.10   16884.29    -0.02
 50  10.2780  52284.38    -0.18   16265.00     0.07
 51  10.2780  52284.28     0.03   16264.60    -0.01
 52  10.2780  52283.93    -0.01   16264.30     0.02
 53  10.2834  52242.40     0.05   16215.76     0.13
 54  10.2834  52242.23     0.13   16215.32    -0.01
 55  10.2834  52241.84    -0.00   16215.14     0.12
 56  10.2835  52241.63     0.04   16214.78     0.06
 57  10.2862  52222.95     0.04   16190.11     0.07
 58  10.2862  52222.72     0.04   16189.76     0.02
 59  10.2862  52222.47     0.02   16189.41    -0.03
 60  10.2863  52222.32     0.11   16189.26     0.13
 61  10.3352  52160.00    -0.01   15744.12     0.15
 62  10.3353  52159.92    -0.21   15743.68     0.01
 63  10.3353  52160.07    -0.18   15743.52     0.14
 64  10.3353  52160.25    -0.13   15743.13     0.05
 65  11.0861  62863.48     0.02   19172.16     0.00
 66  11.0862  62862.52     0.00   19172.01    -0.12
 67  11.0862  62861.65     0.07   19172.12     0.02
 68  11.0862  62860.67     0.02   19172.08     0.00
 69  11.0886  62784.77     0.02   19169.93    -0.02
 70  11.0886  62783.75    -0.05   19169.89    -0.02
 71  11.0887  62781.86    -0.04   19169.89     0.05
 72  11.1406  61155.87     0.06   19026.56     0.20
 73  11.1407  61155.02     0.18   19026.31     0.09
 74  11.1407  61154.02     0.15   19026.16     0.09
 75  11.1407  61152.93     0.04   19025.91    -0.02

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.

13HU156    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.302    39.307    39.297
ecceobj         0.119     0.119     0.119
incobj         20.841    20.841    20.841
qmin           33.854    33.840    33.871
qmax           45.509    45.531    45.524
amean          39.457    39.457    39.457
amin           39.033    39.028    39.038
amax           39.906    39.907    39.921
emean           0.118     0.118     0.118
emin            0.098     0.098     0.098
emax            0.142     0.141     0.142
imean          20.809    20.804    20.832
imin           20.298    20.300    20.381
imax           21.335    21.329    21.265
excite_mean     0.374     0.374     0.375
fracstop        1.000     1.000     1.000
cjmean          2.888     2.888     2.887

libcent 0       179.7     179.5     179.1
libamp  0       100.6     101.3     100.3
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       181.4     181.7     182.9
kozaiamp        180.0     180.0     180.0