Orbit Fit and Astrometric record for 13HR156

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: 13HR156   
# Created Tue Oct 24 01:38:14 2017
# Orbit generated from Bernstein formalism
# Fitting   33 observations of   34
# Arc:   4.11y
# First observation: 2013/04/17
#  Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.000123   0.027419  -0.000024   0.010205   0.026372   0.000000
# Chi-squared of fit:    13.93 DOF:   60 RMS:  0.11
# Min/Max residuals:    -0.33    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.625448E-05  2.774052E-02  6.652499E-06  1.030812E-02  2.698279E-02  2.721709E-03
# Covariance matrix:
  1.4467E-13 -1.5886E-13  2.4864E-14 -5.2731E-14  1.1684E-14 -1.3354E-12
 -1.5886E-13  3.1335E-13 -5.6658E-14  1.2129E-13  2.8098E-14  3.0712E-12
  2.4864E-14 -5.6658E-14  1.0042E-13 -6.6548E-14 -3.5387E-15 -6.3754E-13
 -5.2731E-14  1.2129E-13 -6.6548E-14  9.3562E-14  9.6804E-15  1.3633E-12
  1.1684E-14  2.8098E-14 -3.5387E-15  9.6804E-15  1.0380E-13  2.4419E-13
 -1.3354E-12  3.0712E-12 -6.3754E-13  1.3633E-12  2.4419E-13  3.4522E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.124042 -142.627681    0.171911    0.019454   -0.990696  2456399.964708
# Heliocentric elements and errors
Epoch:              2456390.5000  =  2013/04/08
Mean Anomaly:           22.68698 +/-     0.032
Argument of Peri:      329.87220 +/-     0.052
Long of Asc Node:      214.17138 +/-     0.000
Inclination:            20.43968 +/-     0.000
Eccentricity:         0.18828545 +/-    0.0002
Semi-Major Axis:     45.65865795 +/-    0.0053
Time of Perihelion: 2449288.8830 +/-      10.1
Perihelion:          37.06179710 +/-    0.0087
Aphelion:            54.25551880 +/-    0.0098
Period (y)              308.5268 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -30.33756176 +/-    0.0004
Ecliptic Y          -22.95397386 +/-    0.0003
Ecliptic Z            0.72730530 +/-    0.0000
Ecliptic XDOT         0.00149909 +/-    0.0000
Ecliptic YDOT        -0.00239176 +/-    0.0000
Ecliptic ZDOT         0.00105129 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.04972461 +/-    0.0003
Geocenter to KBO     37.06066474 +/-    0.0004
# Hcoef:  7.96

The following table shows the complete astrometric record for 13HR156. 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 (13HR156) followed by the observatory code and reference code for the source of the astrometry.

2013 04  17.46393  14 21 35.303  -12 54 32.32  23.5r 13HR156   568  C~1XRb      
2013 04  19.44191  14 21 25.567  -12 53 30.58  23.3r 13HR156   568  C~1XRb      
2013 04  19.49245  14 21 25.307  -12 53 29.02  23.5r 13HR156   568  C~1XRb      
2013 04  19.54534  14 21 25.052  -12 53 26.84        13HR156   568  C~1XRb      
2013 05  11.47819  14 19 36.179  -12 42 06.01  23.7r 13HR156   568  C~1XRb      
2013 05  12.48047  14 19 31.354  -12 41 35.91  23.6r 13HR156   568  C~1XRb      
2013 06  12.37556  14 17 24.283  -12 28 12.50        13HR156   568  C~1XRb      
2013 06  12.42048  14 17 24.135  -12 28 11.43  23.7r 13HR156   568  C~1XRb      
2013 07  04.33511  14 16 34.059  -12 22 20.20  24.0r 13HR156   568  C~1XRb      
2013 07  06.34313  14 16 31.601  -12 21 59.09  23.0r 13HR156   568  C~1XRb      
2013 08  02.25851  14 16 36.442  -12 20 37.47  24.0r 13HR156   568  C~1XRb      
2013 08  05.25929  14 16 41.392  -12 20 51.47  23.9r 13HR156   568  C~1XRb      
2014 02  02.65078  14 31 40.877  -13 16 52.66  23.8r 13HR156   568  C~1XRb      
2014 02  02.65647  14 31 40.891  -13 16 52.47  23.7r 13HR156   568  C~1XRb      
2014 02  03.59530  14 31 41.607  -13 16 47.80  23.8r 13HR156   568  C~1XRb      
2014 02  24.59345  14 31 33.538  -13 13 08.04  23.7r 13HR156   568  C~1XRb      
2014 02  24.60122  14 31 33.527  -13 13 07.81  23.7r 13HR156   568  C~1XRb      
2014 02  25.58427  14 31 32.048  -13 12 52.35  23.8r 13HR156   568  C~1XRb      
2014 02  28.53222  14 31 27.044  -13 12 03.02  23.7r 13HR156   568  C~1XRb      
2014 04  04.42723  14 29 33.148  -12 58 11.57  23.5r 13HR156   568  C~1XRb      
2014 04  04.46649  14 29 32.971  -12 58 10.39  23.4r 13HR156   568  C~1XRb      
2014 04  05.42266  14 29 28.744  -12 57 42.95  23.3r 13HR156   568  C~1XRb      
2014 05  22.43816  14 25 41.428  -12 34 17.43  23.5r 13HR156   568  C~1XRb      
2014 05  25.37427  14 25 28.324  -12 32 58.11  23.9r 13HR156   568  C~1XRb      
2014 05  25.37889  14 25 28.299  -12 32 57.71  23.5r 13HR156   568  C~1XRb      
2014 05  25.38376  14 25 28.297  -12 32 57.77  24.0r 13HR156   568  C~1XRb      
2014 05  25.40152  14 25 28.192  -12 32 57.32  23.7r 13HR156   568  C~1XRb      
2014 06  26.34216  14 23 38.893  -12 21 43.83  23.8r 13HR156   568  C~1XRb      
2014 07  18.30511  14 23 11.990  -12 18 19.59  23.5r 13HR156   568  C~1XRb      
2015 01  26.64799  14 38 14.752  -13 13 22.13  23.7r 13HR156   568  C~1XRb      
2016 05  29.36402  14 38 52.426  -12 24 03.93  24.0w 13HR156   568  C~2KOG      
2016 06  05.34911  14 38 23.209  -12 21 21.97  23.7w 13HR156   568  C~2KOG      
2017 05  26.32046  14 45 55.804  -12 21 00.04  23.9r 13HR156   568  C~2KOG      
2017 05  26.38561  14 45 55.508  -12 20 58.39  23.7r 13HR156   568  C~2KOG      

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     0.00       0.00    -0.13
  2   0.0054   -154.68     0.14      12.22    -0.06
  3   0.0056   -158.79     0.07      12.47    -0.10
  4   0.0057   -163.02 (   0.06)     13.32 (   0.44)
  5   0.0657  -1890.47    -0.12     139.07    -0.07
  6   0.0685  -1967.03    -0.06     144.49    -0.03
  7   0.1531  -3988.23     0.09     295.12     0.02
  8   0.1532  -3990.63     0.02     295.42     0.13
  9   0.2132  -4799.23     0.03     386.24    -0.08
 10   0.2187  -4840.21     0.09     394.33     0.18
 11   0.2924  -4800.04    -0.04     494.77     0.15
 12   0.3006  -4726.90    -0.28     505.39    -0.13
 13   0.7972   8817.20    -0.05    1558.67    -0.00
 14   0.7972   8817.34     0.04    1558.91     0.20
 15   0.7998   8825.80    -0.09    1566.64     0.18
 16   0.8573   8644.48     0.10    1738.25    -0.03
 17   0.8573   8644.25     0.08    1738.42     0.08
 18   0.8600   8618.84     0.10    1746.29     0.01
 19   0.8681   8533.80     0.02    1770.10     0.08
 20   0.9636   6689.69    -0.06    2032.94    -0.04
 21   0.9637   6686.86    -0.08    2033.23     0.01
 22   0.9663   6619.49     0.10    2039.67    -0.17
 23   1.0951   3017.26    -0.10    2311.35    -0.17
 24   1.1031   2810.05     0.08    2324.95    -0.02
 25   1.1031   2809.58    -0.07    2325.21     0.22
 26   1.1031   2809.57     0.27    2325.14     0.14
 27   1.1032   2807.97    -0.08    2325.07    -0.00
 28   1.1906   1075.25    -0.01    2447.83    -0.04
 29   1.2508    636.16    -0.03    2513.94    -0.02
 30   1.7774  14233.99    -0.28    3557.14    -0.33
 31   3.1154  13845.57     0.03    6549.40    -0.03
 32   3.1345  13386.20     0.11    6570.82    -0.08
 33   4.1064  19742.35    -0.06    8637.74     0.02
 34   4.1066  19737.67     0.04    8638.00     0.10

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.

13HR156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.451    45.467    45.434
ecceobj         0.184     0.184     0.184
incobj         20.470    20.470    20.470
qmin           36.205    36.184    36.220
qmax           55.770    55.808    55.757
amean          45.783    45.783    45.783
amin           45.391    45.374    45.388
amax           46.223    46.255    46.237
emean           0.193     0.194     0.192
emin            0.179     0.181     0.178
emax            0.207     0.208     0.207
imean          21.041    20.994    21.047
imin           20.607    20.553    20.614
imax           21.466    21.350    21.476
excite_mean     0.407     0.407     0.407
fracstop        1.000     1.000     1.000
cjmean          2.916     2.917     2.916

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       168.6     169.1     168.6
kozaiamp        180.0     180.0     180.0