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 Thu Apr 18 01:09:47 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   77 observations of   77
# Arc:  16.19y
# First observation: 2002/03/12
#  Last observation: 2018/05/21
# Chi-squared of fit:   120.56 DOF:  148 RMS:  0.22
# Min/Max residuals:    -0.96    1.05
# Exact a, adot, b, bdot, g, gdot:
  1.739337E-05  2.676412E-02 -2.673870E-06 -4.863609E-03  2.630511E-02 -6.922997E-04
# Covariance matrix:
  2.7556E-13 -3.9860E-14 -1.4045E-14  4.9018E-15  7.1380E-15 -5.4249E-14
 -3.9860E-14  1.2245E-14  5.3086E-15 -1.9827E-15  1.3715E-14  2.2455E-14
 -1.4045E-14  5.3086E-15  2.0103E-13 -1.5677E-14  2.8277E-15  1.1090E-14
  4.9018E-15 -1.9827E-15 -1.5677E-14  1.5569E-15 -1.7180E-15 -4.0885E-15
  7.1380E-15  1.3715E-14  2.8277E-15 -1.7180E-15  9.0911E-14  2.1896E-14
 -5.4249E-14  2.2455E-14  1.1090E-14 -4.0885E-15  2.1896E-14  4.6107E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   19.407792 -154.404358    0.551344    0.274697   -0.779987  2452345.869228
# Heliocentric elements and errors
Epoch:              2452346.5000  =  2002/03/13
Mean Anomaly:          326.59691 +/-     0.016
Argument of Peri:      154.49159 +/-     0.018
Long of Asc Node:       86.07238 +/-     0.000
Inclination:            21.42606 +/-     0.000
Eccentricity:         0.06123873 +/-    0.0000
Semi-Major Axis:     40.83462293 +/-    0.0019
Time of Perihelion: 2461190.0258 +/-       7.4
Perihelion:          38.33396236 +/-    0.0021
Aphelion:            43.33528351 +/-    0.0023
Period (y)              260.9462 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -33.31944044 +/-    0.0004
Ecliptic Y          -15.34518685 +/-    0.0002
Ecliptic Z           12.63205582 +/-    0.0001
Ecliptic XDOT         0.00110460 +/-    0.0000
Ecliptic YDOT        -0.00255663 +/-    0.0000
Ecliptic ZDOT        -0.00050117 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.79729904 +/-    0.0003
Geocenter to KBO     38.01547640 +/-    0.0004
# Hcoef:  6.84

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.

2002 03  12.368485 14 02 59.49   +08 12 33.1         13HY156   645  C~2e9a      
2002 03  12.369314 14 02 59.49   +08 12 33.1         13HY156   645  C~2e9a      
2002 03  12.371802 14 02 59.48   +08 12 33.1         13HY156   645  C~2e9a      
2003 04  28.226858 14 04 50.05   +07 46 42.0   22.2V 13HY156   645  C~2e9a      
2003 04  28.227687 14 04 50.04   +07 46 41.9   21.9V 13HY156   645  C~2e9a      
2003 04  28.230175 14 04 50.05   +07 46 42.0   23.1V 13HY156   645  C~2e9a      
2010 05  11.33834  14 41 22.323  +01 58 50.07  22.1r 13HY156   F51  C~1w3u      
2010 05  12.46092  14 41 16.656  +01 59 07.44  22.4G 13HY156   F51  C~2rXx      
2011 02  17.56730  14 51 39.198  +00 31 45.56  21.5G 13HY156   F51  C~2rXx      
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 04  27.52948  14 53 13.447  +00 12 45.32  23.0G 13HY156   F51  C~2rXx      
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 04  23.51552  14 58 57.215  -00 39 58.77  22.4G 13HY156   F51  C~2rXx      
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      
2014 04  04.52683  15 05 47.658  -01 39 12.64  22.9G 13HY156   F51  C~2rXx      
2014 04  30.40417  15 03 47.280  -01 28 46.41  22.9G 13HY156   F51  C~2rXx      
2014 04  30.42810  15 03 47.163  -01 28 45.93  22.3G 13HY156   F51  C~2rXx      
2014 04  30.44010  15 03 47.096  -01 28 45.78  22.4G 13HY156   F51  C~2rXx      
2014 05  16.39620  15 02 25.666  -01 24 11.40  22.3G 13HY156   F51  C~2rXx      
2014 05  17.45268  15 02 20.258  -01 23 57.24  22.9G 13HY156   F51  C~2rXx      
2014 05  26.38442  15 01 35.903  -01 22 20.18  22.6G 13HY156   F51  C~2rXx      
2014 05  31.37722  15 01 12.125  -01 21 44.49  23.0G 13HY156   F51  C~2rXx      
2014 06  29.39407  14 59 19.214  -01 23 02.14  22.9G 13HY156   F51  C~2rXx      
2014 06  30.36777  14 59 16.414  -01 23 13.43  22.1G 13HY156   F51  C~2rXx      
2014 07  29.29758  14 58 30.807  -01 32 47.90  22.6G 13HY156   F51  C~2rXx      
2014 07  30.26416  14 58 30.619  -01 33 14.66  22.8G 13HY156   F51  C~2rXx      
2015 03  01.64864  15 12 41.346  -02 44 44.27  22.4G 13HY156   F51  C~2rXx      
2015 03  29.55082  15 11 34.420  -02 32 58.31  22.8G 13HY156   F51  C~2rXx      
2015 05  21.37419  15 07 25.845  -02 14 26.08  22.4G 13HY156   F51  C~2rXx      
2015 05  22.43042  15 07 20.540  -02 14 14.53  22.7G 13HY156   F51  C~2rXx      
2015 05  22.44318  15 07 20.486  -02 14 13.94  22.2G 13HY156   F51  C~2rXx      
2015 05  22.45593  15 07 20.405  -02 14 13.85  22.5G 13HY156   F51  C~2rXx      
2015 05  22.46863  15 07 20.341  -02 14 13.61  22.2G 13HY156   F51  C~2rXx      
2015 05  25.36738  15 07 05.925  -02 13 44.02  22.3G 13HY156   F51  C~2rXx      
2015 05  26.35067  15 07 01.085  -02 13 34.74  22.1G 13HY156   F51  C~2rXx      
2015 07  01.32584  15 04 35.100  -02 14 07.49  21.5G 13HY156   F51  C~2rXx      
2015 07  02.31893  15 04 32.236  -02 14 18.89  23.3G 13HY156   F51  C~2rXx      
2016 03  03.57755  15 17 59.141  -03 34 08.55  22.5G 13HY156   F51  C~2rXx      
2016 03  05.62811  15 17 56.380  -03 33 22.29  23.0G 13HY156   F51  C~2rXx      
2016 03  31.55016  15 16 48.498  -03 22 42.74  22.4G 13HY156   F51  C~2rXx      
2016 04  16.48929  15 15 42.118  -03 16 09.44  22.4G 13HY156   F51  C~2rXx      
2016 05  05.49329  15 14 08.786  -03 09 28.65  22.7G 13HY156   F51  C~2rXx      
2016 07  06.34143  15 09 40.925  -03 06 02.89  21.9G 13HY156   F51  C~2rXx      
2017 04  06.49777  15 21 52.238  -04 11 15.40  23.1G 13HY156   F51  C~2rXx      
2017 04  28.51868  15 20 12.176  -04 02 58.11  22.6G 13HY156   F51  C~2rXx      
2017 04  28.52948  15 20 12.117  -04 02 58.03  22.2G 13HY156   F51  C~2rXx      
2017 04  28.54026  15 20 12.073  -04 02 57.75  22.5G 13HY156   F51  C~2rXx      
2017 04  28.55104  15 20 12.028  -04 02 57.47  22.6G 13HY156   F51  C~2rXx      
2017 05  17.35200  15 18 35.775  -03 57 36.95  22.8G 13HY156   F51  C~2rXx      
2017 05  17.36493  15 18 35.721  -03 57 36.59  23.4G 13HY156   F51  C~2rXx      
2017 05  17.37789  15 18 35.640  -03 57 36.82  22.3G 13HY156   F51  C~2rXx      
2017 05  17.39090  15 18 35.564  -03 57 36.92  22.6G 13HY156   F51  C~2rXx      
2017 05  27.36142  15 17 44.943  -03 55 43.96  23.5G 13HY156   F51  C~2rXx      
2017 05  27.37212  15 17 44.910  -03 55 44.14  22.9G 13HY156   F51  C~2rXx      
2017 05  27.39344  15 17 44.778  -03 55 43.55  22.7G 13HY156   F51  C~2rXx      
2017 07  10.28797  15 14 54.234  -03 57 33.37  22.8G 13HY156   F51  C~2rXx      
2018 03  20.55179  15 28 15.157  -05 08 44.21  22.6G 13HY156   F51  C~2rXx      
2018 05  20.168790 15 23 50.42   -04 48 09.3   22.6G 13HY156   705  C~2rA7      
2018 05  20.168790 15 23 50.418  -04 48 09.30  22.7R 13HY156   705              
2018 05  20.214220 15 23 50.19   -04 48 08.6   23.0G 13HY156   705  C~2rA7      
2018 05  20.214220 15 23 50.186  -04 48 08.64        13HY156   705              
2018 05  20.250340 15 23 50.00   -04 48 08.2   22.6G 13HY156   705  C~2rA8      
2018 05  20.250340 15 23 50.001  -04 48 08.23        13HY156   705              
2018 05  21.46393  15 23 43.739  -04 47 53.28  22.8G 13HY156   F51  C~2rXx      

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    -0.27       0.00     0.05
  2   0.0000      0.00    -0.23       0.00     0.02
  3   0.0000      0.00    -0.24       0.00    -0.07
  4   1.1276      0.00     0.17       0.00    -0.05
  5   1.1276      0.00     0.08       0.00    -0.17
  6   1.1276      0.00     0.42       0.00    -0.12
  7   8.1642      0.00     0.37       0.00     0.02
  8   8.1673      0.00    -0.04       0.00     0.78
  9   8.9369      0.00     0.46       0.00    -0.72
 10   9.1336      0.00    -0.12       0.00     0.22
 11   9.1336      0.00    -0.16       0.00     0.02
 12   9.1336      0.00    -0.04       0.00     0.17
 13   9.1337      0.00    -0.49       0.00     0.30
 14  10.1278      0.00    -0.19       0.00     0.09
 15  10.1848      0.00    -0.02       0.00     0.25
 16  10.1848      0.00     0.14       0.00     0.24
 17  11.0752      0.00     1.05       0.00    -0.96
 18  11.0996      0.00     0.03       0.00     0.09
 19  11.0997      0.00    -0.01       0.00    -0.22
 20  11.1161      0.00    -0.05       0.00    -0.30
 21  11.1623      0.00     0.11       0.00     0.02
 22  11.1623      0.00     0.17       0.00    -0.03
 23  11.1624      0.00     0.02       0.00     0.17
 24  11.1624      0.00     0.07       0.00     0.11
 25  11.9678      0.00     0.02       0.00     0.22
 26  12.0443      0.00    -0.51       0.00     0.07
 27  12.0634      0.00     0.15       0.00     0.03
 28  12.0634      0.00    -0.14       0.00    -0.13
 29  12.1343      0.00    -0.12       0.00     0.06
 30  12.1343      0.00    -0.02       0.00     0.05
 31  12.1344      0.00    -0.10       0.00    -0.05
 32  12.1780      0.00     0.46       0.00    -0.19
 33  12.1809      0.00    -0.30       0.00    -0.15
 34  12.2054      0.00    -0.17       0.00     0.03
 35  12.2191      0.00     0.26       0.00     0.09
 36  12.2985      0.00    -0.02       0.00     0.08
 37  12.3012      0.00    -0.01       0.00     0.01
 38  12.3804      0.00     0.03       0.00     0.15
 39  12.3830      0.00    -0.22       0.00     0.07
 40  12.9700      0.00     0.01       0.00     0.04
 41  13.0464      0.00    -0.11       0.00    -0.08
 42  13.1910      0.00    -0.11       0.00     0.08
 43  13.1939      0.00    -0.03       0.00    -0.30
 44  13.1939      0.00     0.14       0.00     0.15
 45  13.1939      0.00    -0.10       0.00     0.10
 46  13.1940      0.00    -0.09       0.00     0.20
 47  13.2019      0.00    -0.09       0.00    -0.02
 48  13.2046      0.00    -0.06       0.00     0.12
 49  13.3031      0.00     0.38       0.00    -0.13
 50  13.3058      0.00    -0.00       0.00    -0.14
 51  13.9773      0.00    -0.04       0.00     0.08
 52  13.9829      0.00     0.01       0.00     0.06
 53  14.0539      0.00    -0.15       0.00     0.13
 54  14.0975      0.00    -0.14       0.00     0.16
 55  14.1496      0.00    -0.13       0.00     0.09
 56  14.3189      0.00    -0.07       0.00    -0.13
 57  15.0695      0.00     0.07       0.00    -0.00
 58  15.1298      0.00     0.05       0.00     0.10
 59  15.1298      0.00    -0.02       0.00    -0.04
 60  15.1298      0.00     0.14       0.00     0.02
 61  15.1299      0.00     0.29       0.00     0.08
 62  15.1813      0.00    -0.23       0.00    -0.08
 63  15.1814      0.00    -0.03       0.00     0.11
 64  15.1814      0.00    -0.22       0.00    -0.30
 65  15.1814      0.00    -0.34       0.00    -0.57
 66  15.2087      0.00    -0.14       0.00    -0.02
 67  15.2088      0.00     0.18       0.00    -0.29
 68  15.2088      0.00    -0.18       0.00     0.11
 69  15.3290      0.00     0.09       0.00    -0.22
 70  16.0224      0.00    -0.09       0.00     0.16
 71  16.1884      0.00    -0.02       0.00    -0.03
 72  16.1884      0.00     0.01       0.00    -0.03
 73  16.1885      0.00     0.06       0.00     0.07
 74  16.1885      0.00     0.12       0.00     0.11
 75  16.1886      0.00     0.12       0.00     0.03
 76  16.1886      0.00     0.11       0.00     0.06
 77  16.1919      0.00    -0.01       0.00     0.16

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        40.624    40.624    40.624
ecceobj         0.059     0.059     0.059
incobj         21.420    21.420    21.420
qmin           37.618    37.560    37.541
qmax           44.411    44.407    44.424
amean          40.903    40.903    40.903
amin           40.585    40.586    40.586
amax           41.227    41.231    41.235
emean           0.064     0.065     0.065
emin            0.053     0.053     0.053
emax            0.077     0.078     0.078
imean          19.615    19.613    19.615
imin           19.003    19.003    19.002
imax           20.236    20.241    20.230
excite_mean     0.342     0.342     0.342
fracstop        1.000     1.000     1.000
cjmean          2.927     2.927     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     180.6     180.1
kozaiamp        180.0     180.0     180.0