Orbit Fit and Astrometric record for 13HW156

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: 13HW156   
# Created Mon Oct 23 01:38:15 2017
# Orbit generated from Bernstein formalism
# Fitting   14 observations of   15
# Arc:   3.00y
# First observation: 2010/05/11
#  Last observation: 2013/05/10
Preliminary a, adot, b, bdot, g, gdot:
   0.000314   0.037045  -0.000021   0.000335   0.030162   0.000000
# Chi-squared of fit:     7.25 DOF:   22 RMS:  0.13
# Min/Max residuals:    -0.26    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.820117E-05  3.765645E-02  7.094451E-07  3.239008E-04  3.177313E-02  5.958019E-03
# Covariance matrix:
  1.3039E-12 -1.3332E-12 -1.9333E-14 -2.7122E-16 -7.5195E-13 -8.1750E-12
 -1.3332E-12  1.8457E-12  1.0857E-14  7.6462E-15  7.4054E-13  1.2983E-11
 -1.9333E-14  1.0857E-14  5.0410E-13 -2.0881E-13  5.0607E-14  4.0791E-14
 -2.7122E-16  7.6462E-15 -2.0881E-13  1.1003E-13 -1.4252E-14  7.2573E-14
 -7.5195E-13  7.4054E-13  5.0607E-14 -1.4252E-14  1.3329E-12  4.6444E-12
 -8.1750E-12  1.2983E-11  4.0791E-14  7.2573E-14  4.6444E-12  9.7880E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   10.223195 -147.145855   -0.300669    0.171257   -0.949876  2455327.857556
# Heliocentric elements and errors
Epoch:              2455320.5000  =  2010/05/04
Mean Anomaly:           32.76777 +/-     0.021
Argument of Peri:       34.98955 +/-     0.043
Long of Asc Node:      126.07752 +/-     0.003
Inclination:             9.93143 +/-     0.000
Eccentricity:         0.24133454 +/-    0.0003
Semi-Major Axis:     39.50023822 +/-    0.0085
Time of Perihelion: 2447066.9193 +/-       4.6
Perihelion:          29.96746660 +/-    0.0123
Aphelion:            49.03300985 +/-    0.0149
Period (y)              248.2606 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -26.66272370 +/-    0.0009
Ecliptic Y          -17.58202341 +/-    0.0006
Ecliptic Z            5.58601098 +/-    0.0002
Ecliptic XDOT         0.00134178 +/-    0.0000
Ecliptic YDOT        -0.00299125 +/-    0.0000
Ecliptic ZDOT         0.00011854 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.42270656 +/-    0.0008
Geocenter to KBO     31.47313758 +/-    0.0011
# Hcoef:  7.47

The following table shows the complete astrometric record for 13HW156. 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 (13HW156) followed by the observatory code and reference code for the source of the astrometry.

2010 05  11.35679  14 16 32.014  -02 50 20.77  22.5r 13HW156   F51  C~1w3u      
2011 01  11.62685  14 29 40.953  -04 22 06.25  22.8w 13HW156   F51  C~1w3u      
2011 04  30.39927  14 25 42.172  -03 36 59.12  22.8w 13HW156   F51  C~1w3u      
2011 04  30.41279  14 25 42.080  -03 36 58.89  23.2w 13HW156   F51  C~1w3u      
2011 04  30.44149  14 25 41.934  -03 36 57.90  23.2w 13HW156   F51  C~1w3u      
2012 05  18.36237  14 31 58.617  -04 10 24.69  22.9w 13HW156   F51  C~1w3u      
2012 05  18.37593  14 31 58.549  -04 10 24.36  22.6w 13HW156   F51  C~1w3u      
2012 05  18.38954  14 31 58.481  -04 10 24.20  22.5w 13HW156   F51  C~1w3u      
2012 05  18.40320  14 31 58.400  -04 10 23.76  22.6w 13HW156   F51  C~1w3u      
2013 04  17.50412  14 42 49.107  -05 04 09.36  22.2w 13HW156   F51  C~1w3u      
2013 04  17.53443  14 42 48.979  -05 04 08.01  22.2w 13HW156   F51  C~1w3u      
2013 05  10.38838  14 40 40.051  -04 53 36.43  22.4w 13HW156   F51  C~1w3u      
2013 05  10.40324  14 40 39.968  -04 53 36.08  22.6w 13HW156   F51  C~1w3u      
2013 05  10.41812  14 40 39.876  -04 53 35.80  22.7w 13HW156   F51  C~1w3u      
2013 05  10.43297  14 40 39.795  -04 53 35.14  22.8w 13HW156   F51  C~1w3u      

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     0.11       0.00    -0.11
  2   0.6715  12986.86     0.09   -1260.30    -0.26
  3   0.9693   8705.93    -0.12     110.12     0.22
  4   0.9694   8704.55    -0.25     109.88     0.01
  5   0.9694   8702.16    -0.01     110.09     0.29
  6   2.0205  14705.51    -0.03      86.05    -0.10
  7   2.0206  14704.44     0.05      86.02    -0.01
  8   2.0206  14703.42     0.18      85.84    -0.08
  9   2.0207  14702.12     0.04      85.85     0.04
 10   2.9354  25047.75    -0.14     241.12    -0.08
 11   2.9355  25045.47 (   0.30)    241.77 (   0.51)
 12   2.9980  22990.75     0.03     207.24    -0.02
 13   2.9981  22989.45     0.07     207.16    -0.01
 14   2.9981  22988.04     0.01     206.98    -0.11
 15   2.9982  22986.67    -0.03     207.20     0.20

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.

13HW156    quality flag:3

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

axisobj        39.371    39.397    39.344
ecceobj         0.240     0.241     0.239
incobj          9.933     9.933     9.933
qmin           29.085    29.288    28.877
qmax           50.436    50.388    50.570
amean          39.456    39.456    39.456
amin           38.925    38.901    38.941
amax           40.081    40.098    40.059
emean           0.234     0.242     0.235
emin            0.202     0.225     0.197
emax            0.262     0.259     0.266
imean           9.126     8.516     8.907
imin            7.497     7.753     6.943
imax           10.801     9.289    11.344
excite_mean     0.284     0.284     0.283
fracstop        1.000     1.000     1.000
cjmean          2.960     2.960     2.961

libcent 0       180.0     179.7     180.7
libamp  0       120.1     125.9     106.4
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        92.1     164.6      94.1
kozaiamp         53.2     179.9      66.6