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 Wed Jul 18 01:38:11 2018
# Orbit generated from Bernstein formalism
# Fitting   80 observations of   80
# Arc:  16.90y
# First observation: 2001/05/24
#  Last observation: 2018/04/19
Preliminary a, adot, b, bdot, g, gdot:
  -0.006225   0.029839  -0.001186   0.009376   0.036548   0.000000
# Chi-squared of fit:    36.75 DOF:  154 RMS:  0.12
# Min/Max residuals:    -0.39    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.696424E-05  2.915744E-02  6.319959E-06  9.146075E-03  2.825047E-02  2.490363E-03
# Covariance matrix:
  3.6918E-13 -6.0252E-14  3.1042E-14 -1.2395E-14 -4.9786E-14 -8.1352E-14
 -6.0252E-14  1.7116E-14 -1.1829E-14  4.8001E-15  1.1378E-14  3.2033E-14
  3.1042E-14 -1.1829E-14  2.6607E-13 -2.3795E-14 -9.4190E-15 -2.4494E-14
 -1.2395E-14  4.8001E-15 -2.3795E-14  3.1840E-15  3.2982E-15  9.9910E-15
 -4.9786E-14  1.1378E-14 -9.4190E-15  3.2982E-15  6.0724E-14  1.8482E-14
 -8.1352E-14  3.2033E-14 -2.4494E-14  9.9910E-15  1.8482E-14  6.7019E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.000244 -142.365029   -0.438528    0.191103   -0.899852  2452053.783267
# Heliocentric elements and errors
Epoch:              2452050.5000  =  2001/05/21
Mean Anomaly:           44.53928 +/-     0.008
Argument of Peri:      339.38185 +/-     0.010
Long of Asc Node:      185.33379 +/-     0.000
Inclination:            20.81526 +/-     0.000
Eccentricity:         0.12131164 +/-    0.0000
Semi-Major Axis:     39.37348922 +/-    0.0014
Time of Perihelion: 2440885.8533 +/-       1.8
Perihelion:          34.59702668 +/-    0.0015
Aphelion:            44.14995177 +/-    0.0018
Period (y)              247.0666 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -27.87627757 +/-    0.0002
Ecliptic Y          -22.04654862 +/-    0.0002
Ecliptic Z            7.35998736 +/-    0.0001
Ecliptic XDOT         0.00167607 +/-    0.0000
Ecliptic YDOT        -0.00226710 +/-    0.0000
Ecliptic ZDOT         0.00091738 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.29471823 +/-    0.0002
Geocenter to KBO     35.39763546 +/-    0.0003
# Hcoef:  5.54

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.

2001 05  24.282524 14 36 36.74   -02 41 02.3   21.1V 13HU156   645  C~2e9a      
2001 05  24.283353 14 36 36.74   -02 41 02.3   20.8V 13HU156   645  C~2e9a      
2001 05  24.285841 14 36 36.73   -02 41 02.2   21.8V 13HU156   645  C~2e9a      
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      
2018 04  18.39714  16 32 47.319  -03 01 19.14  21.4R 13HU156   705              
2018 04  19.45049  16 32 43.546  -03 00 47.23        13HU156   705              

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    -0.13       0.00    -0.25
  2   0.0000      0.00    -0.07       0.00    -0.24
  3   0.0000     -0.17    -0.06       0.05    -0.19
  4   2.8967  21004.69     0.10    5530.34     0.33
  5   2.8969  20998.55     0.23    5531.09     0.33
  6   2.8971  20992.85     0.11    5531.45     0.03
  7   9.9335  62380.35     0.07   19000.82     0.09
  8   9.9335  62379.30     0.04   19000.85     0.07
  9   9.9336  62378.04     0.19   19000.95     0.10
 10   9.9336  62376.95     0.06   19000.90     0.00
 11   9.9361  62300.40     0.08   19005.08     0.06
 12   9.9361  62299.18     0.08   19005.14     0.06
 13   9.9362  62297.99     0.12   19005.23     0.10
 14   9.9362  62296.72     0.07   19005.26     0.08
 15  10.9192  69071.87    -0.11   20945.76    -0.02
 16  10.9192  69070.99    -0.09   20945.80    -0.05
 17  10.9192  69070.33     0.10   20945.73    -0.20
 18  10.9192  69069.51     0.10   20945.81    -0.19
 19  11.9048  75829.26    -0.09   22899.40     0.08
 20  11.9049  75828.14    -0.18   22899.51     0.06
 21  11.9049  75827.15    -0.09   22899.63     0.04
 22  11.9049  75826.08    -0.13   22899.73     0.01
 23  11.9676  73863.13    -0.06   22998.82    -0.10
 24  11.9676  73861.92    -0.04   22998.83    -0.06
 25  11.9677  73860.74    -0.01   22998.79    -0.06
 26  11.9677  73859.48    -0.05   22998.74    -0.08
 27  12.0686  70694.82    -0.16   22597.12    -0.10
 28  12.0686  70694.14     0.01   22597.02     0.01
 29  12.0687  70693.38     0.12   22596.90     0.11
 30  12.0687  70692.29    -0.20   22596.59    -0.01
 31  12.8659  83264.19    -0.07   24716.49    -0.15
 32  12.8660  83263.45    -0.03   24716.78    -0.08
 33  12.8660  83262.67    -0.03   24716.93    -0.16
 34  12.8660  83261.89    -0.04   24717.25    -0.07
 35  12.9125  82039.28    -0.39   24957.49    -0.12
 36  12.9126  82038.42    -0.01   24957.71    -0.04
 37  12.9126  82037.86     0.05   24957.62    -0.19
 38  13.0242  78394.52    -0.04   24871.89    -0.08
 39  13.0242  78393.55     0.01   24871.79    -0.03
 40  13.0242  78392.58     0.05   24871.64    -0.02
 41  13.0243  78391.51    -0.00   24871.41    -0.11
 42  13.0626  77208.21     0.08   24649.54     0.09
 43  13.0627  77207.18    -0.03   24649.07    -0.16
 44  13.0627  77206.12    -0.13   24649.19     0.18
 45  13.0627  77205.34     0.02   24648.51    -0.28
 46  13.0790  76752.64     0.05   24532.23     0.35
 47  13.0790  76751.71    -0.01   24531.67     0.03
 48  13.0791  76751.00     0.14   24531.51     0.12
 49  13.0791  76750.07     0.07   24531.19     0.04
 50  13.1009  76201.71    -0.14   24356.78     0.06
 51  13.1009  76201.02    -0.08   24356.44    -0.01
 52  13.1009  76200.26    -0.10   24356.17    -0.02
 53  13.1747  74987.24    -0.18   23674.22     0.07
 54  13.1747  74987.13     0.05   23673.81     0.00
 55  13.1747  74986.77     0.01   23673.48     0.02
 56  13.1801  74943.22     0.06   23621.74     0.14
 57  13.1801  74943.05     0.15   23621.27    -0.00
 58  13.1802  74942.64     0.01   23621.07     0.13
 59  13.1802  74942.42     0.06   23620.69     0.07
 60  13.1829  74922.88     0.06   23594.47     0.08
 61  13.1829  74922.64     0.06   23594.10     0.03
 62  13.1830  74922.38     0.04   23593.73    -0.02
 63  13.1830  74922.23     0.13   23593.57     0.15
 64  13.2320  74862.82     0.00   23130.03     0.16
 65  13.2320  74862.75    -0.20   23129.57     0.01
 66  13.2320  74862.91    -0.18   23129.41     0.15
 67  13.2321  74863.11    -0.12   23129.01     0.06
 68  13.9829  86294.56    -0.02   27072.38    -0.02
 69  13.9829  86293.53    -0.04   27072.19    -0.15
 70  13.9829  86292.59     0.03   27072.28     0.00
 71  13.9829  86291.53    -0.02   27072.20    -0.01
 72  13.9853  86209.66    -0.01   27067.19    -0.04
 73  13.9854  86208.56    -0.09   27067.11    -0.05
 74  13.9854  86206.53    -0.09   27067.05     0.03
 75  14.0374  84455.75     0.03   26858.49     0.19
 76  14.0374  84454.83     0.17   26858.20     0.08
 77  14.0374  84453.76     0.14   26858.01     0.08
 78  14.0375  84452.59     0.02   26857.70    -0.04
 79  16.9011 109385.79     0.17   33422.12    -0.11
 80  16.9040 109304.50     0.35   33435.53    -0.30

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        39.301    39.306    39.297
ecceobj         0.119     0.119     0.119
incobj         20.841    20.841    20.841
qmin           33.850    33.802    33.782
qmax           45.539    45.568    45.612
amean          39.457    39.457    39.457
amin           39.033    39.029    39.038
amax           39.911    39.913    39.917
emean           0.118     0.118     0.118
emin            0.098     0.099     0.098
emax            0.142     0.142     0.144
imean          20.808    20.800    20.831
imin           20.294    20.266    20.381
imax           21.338    21.317    21.277
excite_mean     0.374     0.374     0.375
fracstop        1.000     1.000     1.000
cjmean          2.888     2.888     2.887

libcent 0       179.1     178.9     179.1
libamp  0       101.7     102.0     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     180.7     182.6
kozaiamp        180.0     180.0     180.0