Orbit Fit and Astrometric record for 14WR509

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: 14WR509   
# Created Wed Dec 13 02:38:08 2017
# Orbit generated from Bernstein formalism
# Fitting   27 observations of   27
# Arc:   4.11y
# First observation: 2010/11/02
#  Last observation: 2014/12/13
Preliminary a, adot, b, bdot, g, gdot:
  -0.000524   0.031615  -0.000225   0.014796   0.029461   0.000000
# Chi-squared of fit:    20.73 DOF:   48 RMS:  0.15
# Min/Max residuals:    -0.45    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.565216E-05  3.031553E-02  7.786745E-06  1.412554E-02  3.052533E-02 -1.134415E-02
# Covariance matrix:
  2.6343E-13 -2.3285E-14 -1.4473E-14  2.3411E-14  1.1004E-13  3.4994E-13
 -2.3285E-14  4.6406E-13 -7.8843E-14  2.3513E-13  3.2847E-13  3.7069E-12
 -1.4473E-14 -7.8843E-14  2.4123E-13 -1.0199E-13 -7.7548E-14 -6.6988E-13
  2.3411E-14  2.3513E-13 -1.0199E-13  1.4525E-13  1.8438E-13  1.9697E-12
  1.1004E-13  3.2847E-13 -7.7548E-14  1.8438E-13  4.4115E-13  2.8614E-12
  3.4994E-13  3.7069E-12 -6.6988E-13  1.9697E-12  2.8614E-12  3.1027E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.865003   33.921642   -0.103832   -0.151698   -0.972588  2455502.932416
# Heliocentric elements and errors
Epoch:              2455500.5000  =  2010/10/31
Mean Anomaly:          313.02981 +/-     0.014
Argument of Peri:       64.90394 +/-     0.007
Long of Asc Node:       51.86457 +/-     0.000
Inclination:            26.37753 +/-     0.000
Eccentricity:         0.34470067 +/-    0.0002
Semi-Major Axis:     39.52944837 +/-    0.0071
Time of Perihelion: 2467344.5261 +/-       1.5
Perihelion:          25.90362092 +/-    0.0086
Aphelion:            53.15527582 +/-    0.0119
Period (y)              248.5360 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.62211702 +/-    0.0006
Ecliptic Y           18.69827721 +/-    0.0004
Ecliptic Z           -5.04825393 +/-    0.0001
Ecliptic XDOT        -0.00218975 +/-    0.0000
Ecliptic YDOT         0.00181053 +/-    0.0000
Ecliptic ZDOT         0.00140860 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.73561600 +/-    0.0005
Geocenter to KBO     32.75967992 +/-    0.0007
# Hcoef:  7.10

The following table shows the complete astrometric record for 14WR509. 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 (14WR509) followed by the observatory code and reference code for the source of the astrometry.

2010 11  02.43165  02 18 42.042  +04 28 12.78  22.3w 14WR509   F51  C~1vXs      
2010 11  02.46217  02 18 41.853  +04 28 12.11  22.3w 14WR509   F51  C~1vXs      
2010 11  02.47477  02 18 41.757  +04 28 11.98  22.4w 14WR509   F51  C~1vXs      
2011 02  01.22827  02 14 01.111  +04 34 39.93  22.6w 14WR509   F51  C~1vXs      
2011 02  01.23225  02 14 01.107  +04 34 39.95  22.6w 14WR509   F51  C~1vXs      
2011 02  01.23697  02 14 01.104  +04 34 40.60  22.6w 14WR509   F51  C~1vXs      
2011 02  01.24096  02 14 01.093  +04 34 40.33  22.6w 14WR509   F51  C~1vXs      
2013 11  25.25445  02 33 36.478  +08 30 00.42  22.3w 14WR509   F51  C~1vXs      
2013 11  25.26949  02 33 36.395  +08 30 00.18  22.1w 14WR509   F51  C~1vXs      
2013 11  25.28448  02 33 36.305  +08 30 00.00  22.3w 14WR509   F51  C~1vXs      
2013 11  25.29954  02 33 36.220  +08 29 59.69  22.2w 14WR509   F51  C~1vXs      
2014 07  28.58748  02 46 57.182  +10 22 32.56  22.3w 14WR509   F51  C~1vXs      
2014 07  28.59274  02 46 57.181  +10 22 32.64  22.2w 14WR509   F51  C~1vXs      
2014 07  28.59802  02 46 57.156  +10 22 32.50  22.6w 14WR509   F51  C~1vXs      
2014 07  28.60330  02 46 57.209  +10 22 32.66  22.4w 14WR509   F51  C~1vXs      
2014 11  17.46116  02 40 27.318  +09 58 01.32  22.1w 14WR509   F51  C~1vXs      
2014 11  17.47480  02 40 27.222  +09 58 00.83  22.1w 14WR509   F51  C~1vXs      
2014 11  17.48852  02 40 27.148  +09 58 00.60  22.1w 14WR509   F51  C~1vXs      
2014 11  17.50218  02 40 27.054  +09 58 00.67  22.4w 14WR509   F51  C~1vXs      
2014 11  21.42701  02 40 02.998  +09 56 56.05  22.3w 14WR509   F51  C~1vXs      
2014 11  21.43859  02 40 02.916  +09 56 55.85  22.3w 14WR509   F51  C~1vXs      
2014 11  21.45026  02 40 02.850  +09 56 55.76  22.2w 14WR509   F51  C~1vXs      
2014 11  21.46188  02 40 02.757  +09 56 55.31  22.4w 14WR509   F51  C~1vXs      
2014 12  13.34636  02 38 03.285  +09 52 53.37  22.5w 14WR509   F51  C~1vXs      
2014 12  13.35930  02 38 03.215  +09 52 53.54  22.4w 14WR509   F51  C~1vXs      
2014 12  13.37225  02 38 03.152  +09 52 53.43  22.6w 14WR509   F51  C~1vXs      
2014 12  13.38521  02 38 03.083  +09 52 53.36  22.3w 14WR509   F51  C~1vXs      

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     0.01       0.00    -0.10
  2   0.0001     -2.89    -0.05       0.30    -0.11
  3   0.0001     -4.29    -0.28       0.66     0.11
  4   0.2486  -3834.86     0.28    1759.46    -0.11
  5   0.2486  -3834.91     0.11    1759.50    -0.17
  6   0.2486  -3834.74     0.14    1760.13     0.35
  7   0.2486  -3834.98    -0.23    1759.93     0.06
  8   3.0632  17401.70     0.01    9362.44     0.01
  9   3.0632  17400.45     0.06    9362.61    -0.05
 10   3.0633  17399.11     0.03    9362.87    -0.02
 11   3.0633  17397.81     0.03    9362.99    -0.13
 12   3.7349  31002.26     0.26   12032.02     0.05
 13   3.7349  31002.27     0.11   12032.10     0.14
 14   3.7349  31001.87    -0.45   12032.08     0.13
 15   3.7349  31002.68     0.20   12031.99     0.04
 16   4.0411  24959.07     0.17   12448.49     0.11
 17   4.0412  24957.55    -0.06   12448.47    -0.09
 18   4.0412  24956.42     0.12   12448.60    -0.14
 19   4.0413  24955.11     0.10   12449.11     0.19
 20   4.0520  24592.09     0.02   12500.85    -0.14
 21   4.0520  24590.86    -0.13   12501.04    -0.10
 22   4.0521  24589.89    -0.02   12501.27    -0.04
 23   4.0521  24588.42    -0.41   12501.28    -0.19
 24   4.1120  22813.50     0.05   12835.27    -0.15
 25   4.1121  22812.57     0.02   12835.76     0.12
 26   4.1121  22811.64    -0.00   12835.95     0.10
 27   4.1121  22810.64    -0.10   12836.21     0.13

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.

14WR509    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.654    39.672    39.635
ecceobj         0.345     0.346     0.345
incobj         26.344    26.344    26.345
qmin           25.218    25.275    25.289
qmax           54.202    54.221    54.381
amean          39.454    39.453    39.453
amin           39.021    39.070    39.035
amax           39.975    39.943    40.004
emean           0.286     0.285     0.284
emin            0.165     0.168     0.164
emax            0.360     0.359     0.359
imean          27.576    27.649    27.599
imin           25.103    25.165    25.143
imax           30.761    30.723    30.765
excite_mean     0.547     0.547     0.547
fracstop        1.000     1.000     1.000
cjmean          2.703     2.702     2.703

libcent 0       179.1     180.4     179.2
libamp  0        66.8      57.7      73.9
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        94.7      96.3      91.5
kozaiamp         60.3      57.1      64.9