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 Tue Dec 12 02:37:57 2017
# Orbit generated from Bernstein formalism
# Fitting   13 observations of   13
# Arc:   2.98y
# First observation: 2011/04/30
#  Last observation: 2014/04/24
Preliminary a, adot, b, bdot, g, gdot:
  -0.000059   0.037080  -0.000009   0.001727   0.035835   0.000000
# Chi-squared of fit:    13.85 DOF:   20 RMS:  0.18
# Min/Max residuals:    -0.34    0.41
# Exact a, adot, b, bdot, g, gdot:
  1.625118E-05  3.693807E-02  1.250830E-06  1.699341E-03  3.543399E-02 -7.970285E-05
# Covariance matrix:
  4.6619E-13 -4.1983E-13  4.9434E-15 -1.1218E-14  9.7615E-14 -2.3529E-12
 -4.1983E-13  1.3273E-12 -1.1455E-14  5.7809E-14  1.8077E-12  1.2202E-11
  4.9434E-15 -1.1455E-14  3.5736E-13 -1.6613E-13  4.6506E-15 -1.0591E-13
 -1.1218E-14  5.7809E-14 -1.6613E-13  1.1492E-13  9.3463E-14  5.8366E-13
  9.7615E-14  1.8077E-12  4.6506E-15  9.3463E-14  6.7417E-12  1.9856E-11
 -2.3529E-12  1.2202E-11 -1.0591E-13  5.8366E-13  1.9856E-11  1.2325E-10
#      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:          180.54994 +/-     0.086
Argument of Peri:      259.70337 +/-     0.069
Long of Asc Node:      137.26274 +/-     0.002
Inclination:            14.91264 +/-     0.000
Eccentricity:         0.19797625 +/-    0.0001
Semi-Major Axis:     24.36934143 +/-    0.0047
Time of Perihelion: 2477583.5818 +/-       8.4
Perihelion:          19.54479066 +/-    0.0053
Aphelion:            29.19389220 +/-    0.0068
Period (y)              120.3023 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -22.55018262 +/-    0.0016
Ecliptic Y          -16.99977849 +/-    0.0012
Ecliptic Z            7.40072362 +/-    0.0005
Ecliptic XDOT         0.00174463 +/-    0.0000
Ecliptic YDOT        -0.00225169 +/-    0.0000
Ecliptic ZDOT         0.00012512 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.19373075 +/-    0.0014
Geocenter to KBO     28.22149305 +/-    0.0021
# Hcoef:  8.00

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      

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     0.05       0.00    -0.10
  2   0.0000     -1.61     0.03       0.09    -0.00
  3   0.0001     -3.13    -0.04       0.12     0.04
  4   1.0512   5706.80    -0.02     254.70    -0.21
  5   1.0513   5704.12    -0.02     254.29    -0.31
  6   1.0513   5702.77    -0.02     254.54     0.08
  7   1.9660  16524.51    -0.04     664.30     0.31
  8   1.9661  16521.45    -0.00     664.14    -0.05
  9   2.0287  14155.06    -0.03     675.70     0.13
 10   2.0287  14153.30    -0.24     675.76     0.28
 11   2.0288  14152.32     0.33     675.79     0.41
 12   2.9844  23534.88    -0.07    1055.81    -0.34
 13   2.9844  23533.71     0.07    1055.96    -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        24.337    24.352    24.323
ecceobj         0.199     0.199     0.200
incobj         14.917    14.917    14.917
qmin           18.877    19.275    19.388
qmax           31.500    29.597    30.146
amean          24.289    24.379    24.566
amin           23.558    23.781    24.210
amax           25.689    24.614    25.551
emean           0.172     0.191     0.181
emin            0.131     0.164     0.149
emax            0.231     0.207     0.206
imean          14.231    13.789    13.940
imin           12.326    13.178    13.243
imax           15.438    14.680    14.696
excite_mean     0.301     0.305     0.302
fracstop        0.069     0.008     0.009
cjmean          2.955     2.951     2.950

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       174.2     298.5     304.6
kozaiamp        179.5      40.1      46.7