Orbit Fit and Astrometric record for 13HY156

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: 13HY156   
# Created Mon Dec 18 02:37:54 2017
# Orbit generated from Bernstein formalism
# Fitting   16 observations of   17
# Arc:   3.90y
# First observation: 2010/05/11
#  Last observation: 2014/04/04
Preliminary a, adot, b, bdot, g, gdot:
  -0.000066   0.027062   0.000006  -0.006654   0.026130   0.000000
# Chi-squared of fit:    12.51 DOF:   26 RMS:  0.16
# Min/Max residuals:    -0.48    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.509846E-05  2.689110E-02 -4.099767E-06 -6.633952E-03  2.660710E-02 -9.680783E-04
# Covariance matrix:
  1.1605E-12 -1.0633E-12 -1.5261E-13  2.2760E-13 -1.3258E-12 -8.3646E-12
 -1.0633E-12  1.2277E-12  1.9452E-13 -2.8967E-13  1.6577E-12  1.0633E-11
 -1.5261E-13  1.9452E-13  4.7762E-13 -1.9992E-13  2.8285E-13  1.7843E-12
  2.2760E-13 -2.8967E-13 -1.9992E-13  1.3748E-13 -4.4650E-13 -2.6831E-12
 -1.3258E-12  1.6577E-12  2.8285E-13 -4.4650E-13  4.2354E-12  1.7089E-11
 -8.3646E-12  1.0633E-11  1.7843E-12 -2.6831E-12  1.7089E-11  9.9214E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   16.801738 -142.720937   -0.224994    0.284847   -0.943517  2455327.839106
# Heliocentric elements and errors
Epoch:              2455320.5000  =  2010/05/04
Mean Anomaly:          334.23728 +/-     0.223
Argument of Peri:      158.49646 +/-     0.257
Long of Asc Node:       86.23460 +/-     0.001
Inclination:            21.39627 +/-     0.000
Eccentricity:         0.06314845 +/-    0.0003
Semi-Major Axis:     40.81567148 +/-    0.0120
Time of Perihelion: 2462136.4774 +/-      59.0
Perihelion:          38.23822525 +/-    0.0173
Aphelion:            43.39311772 +/-    0.0184
Period (y)              260.7646 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.27230085 +/-    0.0022
Ecliptic Y          -22.57135312 +/-    0.0017
Ecliptic Z           10.86393751 +/-    0.0008
Ecliptic XDOT         0.00159661 +/-    0.0000
Ecliptic YDOT        -0.00225753 +/-    0.0000
Ecliptic ZDOT        -0.00068232 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.52737620 +/-    0.0020
Geocenter to KBO     37.58395614 +/-    0.0029
# Hcoef:  6.69

The following table shows the complete astrometric record for 13HY156. 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 (13HY156) followed by the observatory code and reference code for the source of the astrometry.

2010 05  11.33834  14 41 22.323  +01 58 50.07  22.1r 13HY156   F51  C~1w3u      
2011 04  30.40268  14 47 40.737  +01 04 33.30  22.9w 13HY156   F51  C~1w3u      
2011 04  30.41622  14 47 40.664  +01 04 33.38  23.0w 13HY156   F51  C~1w3u      
2011 04  30.43131  14 47 40.594  +01 04 33.84  22.9w 13HY156   F51  C~1w3u      
2011 04  30.44498  14 47 40.494  +01 04 34.25  23.1w 13HY156   F51  C~1w3u      
2012 05  18.36908  14 51 27.964  +00 18 38.80  22.6w 13HY156   F51  C~1w3u      
2012 05  18.38267  14 51 27.906  +00 18 38.94  22.5w 13HY156   F51  C~1w3u      
2013 04  08.58196  15 00 07.195  -00 46 14.42  21.5g 13HY156   F51  C~1w3u      
2013 04  17.50821  14 59 26.352  -00 42 22.18  22.7w 13HY156   F51  C~1w3u      
2013 04  17.53850  14 59 26.203  -00 42 21.74  22.4w 13HY156   F51  C~1w3u      
2013 05  10.39101  14 57 31.773  -00 34 24.17  22.6w 13HY156   F51  C~1w3u      
2013 05  10.40586  14 57 31.700  -00 34 23.98  22.8w 13HY156   F51  C~1w3u      
2013 05  10.42074  14 57 31.613  -00 34 23.54  22.8w 13HY156   F51  C~1w3u      
2013 05  10.43560  14 57 31.539  -00 34 23.36  22.7w 13HY156   F51  C~1w3u      
2014 02  28.62114  15 07 22.596  -01 54 35.93  22.5w 13HY156   F51  C~1w3u      
2014 03  28.54457  15 06 14.374  -01 42 21.54  22.5w 13HY156   F51  C~1w3u      
2014 04  04.51345  15 05 47.733  -01 39 12.84  22.4w 13HY156   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     0.18       0.00     0.03
  2   0.9694   6416.15    -0.01   -1289.99     0.04
  3   0.9694   6415.08     0.01   -1290.26    -0.16
  4   0.9695   6413.94     0.07   -1290.16     0.01
  5   0.9695   6412.39    -0.39   -1290.25    -0.01
  6   2.0206  10530.06    -0.12   -2822.31     0.10
  7   2.0207  10529.19     0.03   -2822.45     0.13
  8   2.9110  19199.54 (   1.57)  -4049.41 (  -0.67)
  9   2.9354  18539.28     0.18   -4023.00     0.01
 10   2.9355  18537.00     0.24   -4023.29    -0.30
 11   2.9981  16744.55     0.03   -4114.29    -0.03
 12   2.9981  16743.44     0.11   -4114.46    -0.05
 13   2.9982  16742.06    -0.10   -4114.45     0.09
 14   2.9982  16740.94    -0.03   -4114.63     0.05
 15   3.8036  26791.07     0.17   -5890.77     0.14
 16   3.8801  25567.76    -0.48   -5512.92    -0.11
 17   3.8992  25122.24     0.12   -5459.41     0.06

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.

13HY156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.646    40.680    40.612
ecceobj         0.059     0.060     0.059
incobj         21.420    21.420    21.420
qmin           37.519    37.549    37.498
qmax           44.500    44.563    44.450
amean          40.921    40.956    40.888
amin           40.612    40.646    40.580
amax           41.253    41.288    41.211
emean           0.065     0.066     0.064
emin            0.054     0.054     0.053
emax            0.079     0.080     0.079
imean          19.611    19.610    19.612
imin           19.003    19.006    18.997
imax           20.224    20.234    20.229
excite_mean     0.342     0.342     0.342
fracstop        1.000     1.000     1.000
cjmean          2.927     2.928     2.927

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       180.1     179.9     179.9
kozaiamp        180.0     179.9     179.9