Orbit Fit and Astrometric record for 13HZ156

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: 13HZ156   
# Created Sun Aug 19 01:38:00 2018
# Orbit generated from Bernstein formalism
# Fitting   22 observations of   22
# Arc:   7.06y
# First observation: 2011/04/30
#  Last observation: 2018/05/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.000053   0.029304  -0.000027   0.005331   0.027431   0.000000
# Chi-squared of fit:    13.02 DOF:   38 RMS:  0.14
# Min/Max residuals:    -0.37    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.566658E-05  2.935446E-02  3.391417E-06  5.314632E-03  2.767882E-02  1.773377E-03
# Covariance matrix:
  1.9848E-13 -1.3495E-13  1.5315E-14 -2.0796E-14  1.1291E-13 -5.6724E-13
 -1.3495E-13  1.6800E-13 -2.0613E-14  2.8982E-14 -2.6607E-14  7.7985E-13
  1.5315E-14 -2.0613E-14  1.1963E-13 -2.9750E-14  1.8870E-14 -1.0671E-13
 -2.0796E-14  2.8982E-14 -2.9750E-14  1.8833E-14 -1.1843E-14  1.4740E-13
  1.1291E-13 -2.6607E-14  1.8870E-14 -1.1843E-14  1.8809E-12 -4.7120E-13
 -5.6724E-13  7.7985E-13 -1.0671E-13  1.4740E-13 -4.7120E-13  3.9936E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   18.126133 -141.800922   -0.021376    0.314223   -0.960050  2455681.902786
# Heliocentric elements and errors
Epoch:              2455680.5000  =  2011/04/29
Mean Anomaly:           29.08117 +/-     0.038
Argument of Peri:       24.76563 +/-     0.047
Long of Asc Node:      159.21681 +/-     0.001
Inclination:            20.35197 +/-     0.000
Eccentricity:         0.10764025 +/-    0.0002
Semi-Major Axis:     40.79508531 +/-    0.0095
Time of Perihelion: 2447992.3893 +/-       9.7
Perihelion:          36.40389232 +/-    0.0107
Aphelion:            45.18627830 +/-    0.0123
Period (y)              260.5673 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -27.75959358 +/-    0.0013
Ecliptic Y          -21.87498968 +/-    0.0010
Ecliptic Z           11.24015290 +/-    0.0006
Ecliptic XDOT         0.00179117 +/-    0.0000
Ecliptic YDOT        -0.00227786 +/-    0.0000
Ecliptic ZDOT         0.00055421 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.08707654 +/-    0.0012
Geocenter to KBO     36.12870449 +/-    0.0018
# Hcoef:  7.02

The following table shows the complete astrometric record for 13HZ156. 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 (13HZ156) followed by the observatory code and reference code for the source of the astrometry.

2011 04  30.40202  14 46 22.593  +02 57 40.65  23.1w 13HZ156   F51  C~1w3u      
2011 04  30.40268  14 46 22.578  +02 57 40.74  23.0w 13HZ156   F51  C~1w3u      
2011 04  30.41556  14 46 22.516  +02 57 41.27  23.2w 13HZ156   F51  C~1w3u      
2011 04  30.41622  14 46 22.504  +02 57 41.21  23.3w 13HZ156   F51  C~1w3u      
2011 04  30.43063  14 46 22.427  +02 57 41.66  23.1w 13HZ156   F51  C~1w3u      
2011 04  30.43131  14 46 22.430  +02 57 41.71  23.2w 13HZ156   F51  C~1w3u      
2011 04  30.44428  14 46 22.366  +02 57 41.90  23.3w 13HZ156   F51  C~1w3u      
2012 05  18.36776  14 51 33.100  +02 50 36.45  22.8w 13HZ156   F51  C~1w3u      
2012 05  18.38135  14 51 33.046  +02 50 36.56  22.9w 13HZ156   F51  C~1w3u      
2012 05  18.39497  14 51 32.969  +02 50 37.16  22.9w 13HZ156   F51  C~1w3u      
2012 05  18.40931  14 51 32.894  +02 50 37.27  22.8w 13HZ156   F51  C~1w3u      
2013 04  17.50886  15 00 52.241  +02 22 47.25  22.2w 13HZ156   F51  C~1w3u      
2013 04  17.53916  15 00 52.066  +02 22 48.15  22.3w 13HZ156   F51  C~1w3u      
2013 04  17.55432  15 00 52.016  +02 22 49.03  22.3w 13HZ156   F51  C~1w3u      
2013 05  10.39243  14 58 58.117  +02 33 34.74  22.8w 13HZ156   F51  C~1w3u      
2013 05  10.40727  14 58 58.049  +02 33 34.98  22.6w 13HZ156   F51  C~1w3u      
2013 05  10.42214  14 58 57.976  +02 33 35.53  22.3w 13HZ156   F51  C~1w3u      
2013 05  10.43701  14 58 57.886  +02 33 35.91  22.3w 13HZ156   F51  C~1w3u      
2014 04  08.50520  15 08 14.984  +02 03 01.43  22.3w 13HZ156   F51  C~1w3u      
2018 05  20.17328  15 31 27.725  +01 24 15.62  22.5R 13HZ156   705              
2018 05  20.21890  15 31 27.484  +01 24 16.55        13HZ156   705              
2018 05  20.25507  15 31 27.302  +01 24 17.16        13HZ156   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     0.23       0.00    -0.07
  2   0.0000     -0.24     0.04       0.02    -0.06
  3   0.0000     -1.29     0.05       0.23     0.12
  4   0.0000     -1.44    -0.04       0.11     0.01
  5   0.0001     -2.68    -0.09       0.18     0.04
  6   0.0001     -2.65    -0.01       0.24     0.10
  7   0.0001     -3.62     0.09       0.12    -0.05
  8   1.0512   4550.83    -0.20    1055.96    -0.07
  9   1.0513   4550.02     0.05    1055.81    -0.12
 10   1.0513   4548.74    -0.19    1056.02     0.18
 11   1.0514   4547.64    -0.18    1055.77     0.04
 12   1.9661  13045.54     0.02    2113.36    -0.00
 13   1.9662  13042.76    -0.37    2113.39    -0.25
 14   1.9662  13041.77    -0.16    2113.99     0.22
 15   2.0287  11211.92     0.10    2187.43    -0.14
 16   2.0288  11210.88     0.26    2187.34    -0.19
 17   2.0288  11209.66     0.25    2187.51     0.04
 18   2.0288  11208.26     0.05    2187.45     0.02
 19   2.9407  19759.76     0.15    3094.91     0.18
 20   7.0548  40768.32     0.04    7638.10    -0.07
 21   7.0549  40764.45    -0.08    7637.80     0.04
 22   7.0550  40761.56     0.01    7637.49     0.05

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.

13HZ156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.692    40.720    40.663
ecceobj         0.106     0.106     0.105
incobj         20.363    20.363    20.363
qmin           35.404    35.404    35.384
qmax           46.789    46.948    46.760
amean          40.980    41.017    40.961
amin           40.642    40.674    40.626
amax           41.335    41.369    41.315
emean           0.115     0.116     0.115
emin            0.099     0.099     0.098
emax            0.133     0.135     0.133
imean          19.701    19.678    19.691
imin           18.978    18.911    18.943
imax           20.484    20.473    20.478
excite_mean     0.356     0.356     0.356
fracstop        1.000     1.000     1.000
cjmean          2.917     2.918     2.917

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       174.8     174.0     174.5
kozaiamp        179.9     180.0     180.0