Orbit Fit and Astrometric record for 13HX156

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: 13HX156   
# Created Wed Aug 15 01:38:01 2018
# Orbit generated from Bernstein formalism
# Fitting   16 observations of   16
# Arc:   7.06y
# First observation: 2011/04/30
#  Last observation: 2018/05/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.001221   0.037861  -0.000113   0.001799   0.033829   0.000000
# Chi-squared of fit:    19.19 DOF:   26 RMS:  0.19
# Min/Max residuals:    -0.44    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.603203E-05  3.693999E-02  8.268967E-07  1.699747E-03  3.543755E-02 -5.881344E-05
# Covariance matrix:
  4.4914E-13 -2.8678E-13  1.2688E-14 -1.1366E-14  3.4266E-13 -9.4272E-13
 -2.8678E-13  2.6629E-13 -1.2001E-14  1.1670E-14 -1.5293E-13  9.3293E-13
  1.2688E-14 -1.2001E-14  1.9547E-13 -4.1005E-14  2.1378E-14 -4.6560E-14
 -1.1366E-14  1.1670E-14 -4.1005E-14  1.6178E-14 -5.5110E-15  4.3219E-14
  3.4266E-13 -1.5293E-13  2.1378E-14 -5.5110E-15  3.1167E-12 -9.7622E-13
 -9.4272E-13  9.3293E-13 -4.6560E-14  4.3219E-14 -9.7622E-13  3.5271E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   15.202694 -143.084170   -0.044215    0.264655   -0.974114  2455681.915546
# Heliocentric elements and errors
Epoch:              2455680.5000  =  2011/04/29
Mean Anomaly:          180.35736 +/-     0.042
Argument of Peri:      259.83200 +/-     0.012
Long of Asc Node:      137.26581 +/-     0.001
Inclination:            14.91271 +/-     0.000
Eccentricity:         0.19813035 +/-    0.0001
Semi-Major Axis:     24.36376250 +/-    0.0037
Time of Perihelion: 2477599.5585 +/-       1.4
Perihelion:          19.53656176 +/-    0.0042
Aphelion:            29.19096324 +/-    0.0054
Period (y)              120.2610 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -22.54799967 +/-    0.0011
Ecliptic Y          -16.99813075 +/-    0.0008
Ecliptic Z            7.39996800 +/-    0.0004
Ecliptic XDOT         0.00174331 +/-    0.0000
Ecliptic YDOT        -0.00225251 +/-    0.0000
Ecliptic ZDOT         0.00012557 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.19089352 +/-    0.0010
Geocenter to KBO     28.21865561 +/-    0.0014
# Hcoef:  8.03

The following table shows the complete astrometric record for 13HX156. 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 (13HX156) followed by the observatory code and reference code for the source of the astrometry.

2011 04  30.41478  14 38 01.012  +00 34 29.99  23.2w 13HX156   F51  C~1w3u      
2011 04  30.42983  14 38 00.912  +00 34 30.59  22.9w 13HX156   F51  C~1w3u      
2011 04  30.44347  14 38 00.817  +00 34 31.10  23.2w 13HX156   F51  C~1w3u      
2012 05  18.36908  14 44 07.015  +00 08 16.29  22.8w 13HX156   F51  C~1w3u      
2012 05  18.39631  14 44 06.837  +00 08 16.76  23.0w 13HX156   F51  C~1w3u      
2012 05  18.40997  14 44 06.757  +00 08 17.42  22.9w 13HX156   F51  C~1w3u      
2013 04  17.50821  14 55 37.262  -00 42 27.46  22.6w 13HX156   F51  C~1w3u      
2013 04  17.53850  14 55 37.066  -00 42 26.64  22.4w 13HX156   F51  C~1w3u      
2013 05  10.39101  14 53 08.565  -00 29 47.01  22.7w 13HX156   F51  C~1w3u      
2013 05  10.40586  14 53 08.455  -00 29 46.40  22.7w 13HX156   F51  C~1w3u      
2013 05  10.42074  14 53 08.394  -00 29 46.06  23.0w 13HX156   F51  C~1w3u      
2014 04  24.45851  15 03 04.501  -01 13 05.73  21.7w 13HX156   F51  C~1w3u      
2014 04  24.47095  15 03 04.431  -01 13 05.22  22.0w 13HX156   F51  C~1w3u      
2018 05  20.17803  15 33 13.658  -03 19 19.80  22.6R 13HX156   705              
2018 05  20.22392  15 33 13.339  -03 19 18.93        13HX156   705              
2018 05  20.26520  15 33 13.061  -03 19 17.75        13HX156   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     0.09       0.00    -0.01
  2   0.0000     -1.61     0.07       0.09     0.09
  3   0.0001     -3.13     0.00       0.12     0.13
  4   1.0512   5706.80    -0.04     254.70    -0.19
  5   1.0513   5704.12    -0.03     254.29    -0.30
  6   1.0513   5702.77    -0.03     254.54     0.09
  7   1.9660  16524.51    -0.25     664.30     0.26
  8   1.9661  16521.45    -0.22     664.14    -0.10
  9   2.0287  14155.06    -0.06     675.70     0.07
 10   2.0287  14153.30    -0.28     675.76     0.22
 11   2.0288  14152.32     0.30     675.79     0.35
 12   2.9844  23534.88     0.17    1055.81    -0.44
 13   2.9844  23533.71     0.31    1055.96    -0.33
 14   7.0548  52656.20     0.02    2467.27     0.03
 15   7.0549  52651.07    -0.02    2466.57    -0.10
 16   7.0550  52646.47    -0.04    2466.38     0.22

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.

13HX156    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        24.332    24.343    24.321
ecceobj         0.200     0.199     0.200
incobj         14.917    14.917    14.917
qmin           19.450    19.365    19.092
qmax           30.014    29.813    29.843
amean          24.811    24.507    23.425
amin           24.316    24.011    22.478
amax           26.265    25.418    24.819
emean           0.176     0.179     0.144
emin            0.141     0.137     0.109
emax            0.203     0.207     0.202
imean          13.870    14.148    14.503
imin           13.195    13.254    13.219
imax           14.605    15.095    15.305
excite_mean     0.298     0.304     0.290
fracstop        0.009     0.009     0.038
cjmean          2.949     2.950     2.974

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       304.3     282.9     201.6
kozaiamp         48.1     178.6     179.4