Orbit Fit and Astrometric record for 13GR137

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: 13GR137   
# Created Wed Dec 13 02:37:53 2017
# Orbit generated from Bernstein formalism
# Fitting   28 observations of   29
# Arc:   4.22y
# First observation: 2013/03/07
#  Last observation: 2017/05/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.000111   0.023850   0.000004  -0.001705   0.024198   0.000000
# Chi-squared of fit:     9.57 DOF:   50 RMS:  0.10
# Min/Max residuals:    -0.25    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.532601E-05  2.367741E-02 -9.460988E-07 -1.688310E-03  2.424212E-02 -5.362483E-04
# Covariance matrix:
  1.7723E-13 -5.5134E-14 -2.3140E-15  5.5094E-15  1.4303E-13 -8.3988E-13
 -5.5134E-14  3.1981E-13  7.8336E-15 -2.7363E-14  1.3534E-13  4.2115E-12
 -2.3140E-15  7.8336E-15  8.0392E-14 -3.1505E-14  1.0216E-15  1.2346E-13
  5.5094E-15 -2.7363E-14 -3.1505E-14  3.5974E-14 -7.7554E-15 -4.1823E-13
  1.4303E-13  1.3534E-13  1.0216E-15 -7.7554E-15  3.1541E-13  1.2069E-12
 -8.3988E-13  4.2115E-12  1.2346E-13 -4.1823E-13  1.2069E-12  6.4331E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.190955 -143.691930    0.751959    0.013515   -0.648119  2456359.026098
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:          293.27915 +/-     0.178
Argument of Peri:      235.05118 +/-     0.217
Long of Asc Node:       51.33702 +/-     0.002
Inclination:             4.23105 +/-     0.000
Eccentricity:         0.04155923 +/-    0.0003
Semi-Major Axis:     42.53928815 +/-    0.0035
Time of Perihelion: 2475132.5438 +/-      50.0
Perihelion:          40.77138789 +/-    0.0137
Aphelion:            44.30718842 +/-    0.0138
Period (y)              277.4556 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -34.20073794 +/-    0.0008
Ecliptic Y          -24.19613391 +/-    0.0006
Ecliptic Z            0.85734601 +/-    0.0000
Ecliptic XDOT         0.00162274 +/-    0.0000
Ecliptic YDOT        -0.00212070 +/-    0.0000
Ecliptic ZDOT        -0.00019175 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.90320291 +/-    0.0007
Geocenter to KBO     41.25051714 +/-    0.0010
# Hcoef:  8.23

The following table shows the complete astrometric record for 13GR137. 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 (13GR137) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.52532  14 17 33.229  -12 29 54.61  24.8r 13GR137   568  C~1XRY      
2013 03  07.63463  14 17 32.909  -12 29 53.02        13GR137   568  C~1XRY      
2013 04  04.52658  14 15 52.460  -12 21 17.16  24.9r 13GR137   568  C~1XRY      
2013 04  07.38724  14 15 40.010  -12 20 14.45  24.4r 13GR137   568  C~1XRY      
2013 04  07.43113  14 15 39.803  -12 20 13.43  23.5r 13GR137   568  C~1XRY      
2013 04  07.50451  14 15 39.456  -12 20 11.73  23.3r 13GR137   568  C~1XRY      
2013 04  07.51457  14 15 39.431  -12 20 11.60  24.1r 13GR137   568  C~1XRY      
2013 04  07.51951  14 15 39.443  -12 20 11.46  23.7r 13GR137   568  C~1XRY      
2013 04  07.52459  14 15 39.399  -12 20 11.41        13GR137   568  C~1XRY      
2013 04  08.56428  14 15 34.781  -12 19 48.03        13GR137   568  C~1XRY      
2013 04  09.36658  14 15 31.228  -12 19 30.09  23.8r 13GR137   568  C~1XRY      
2013 04  09.40970  14 15 31.014  -12 19 29.07  24.1r 13GR137   568  C~1XRY      
2013 04  09.45271  14 15 30.825  -12 19 28.24  24.2r 13GR137   568  C~1XRY      
2013 05  11.45427  14 13 02.613  -12 07 16.12  24.3r 13GR137   568  C~1XRY      
2013 05  12.45225  14 12 58.123  -12 06 54.32  24.5r 13GR137   568  C~1XRY      
2013 07  04.31142  14 10 13.445  -11 54 33.80  24.8r 13GR137   568  C~1XRY      
2013 07  06.31919  14 10 11.108  -11 54 26.83  24.5r 13GR137   568  C~1XRY      
2014 02  25.54358  14 23 03.485  -13 03 52.40  24.2r 13GR137   568  C~1XRY      
2014 03  28.44167  14 21 32.218  -12 56 09.00  24.6r 13GR137   568  C~1XRY      
2014 03  28.48073  14 21 32.050  -12 56 08.30  24.1r 13GR137   568  C~1XRY      
2014 04  29.35546  14 19 09.327  -12 44 28.11  24.4r 13GR137   568  C~1XRY      
2014 04  29.43764  14 19 08.916  -12 44 26.16  24.5r 13GR137   568  C~1XRY      
2014 04  29.44267  14 19 08.898  -12 44 26.09  24.8r 13GR137   568  C~1XRY      
2014 05  22.42116  14 17 24.683  -12 36 09.41  24.3r 13GR137   568  C~1XRY      
2014 05  28.39336  14 17 00.287  -12 34 15.79  24.2r 13GR137   568  C~1XRY      
2016 05  29.19049  14 27 18.250  -13 38 14.23  24.1R 13GR137   G37              
2016 05  29.26234  14 27 17.951  -13 38 12.65        13GR137   G37              
2017 05  28.27970  14 32 38.116  -14 10 18.39  24.1r 13GR137   568  C~2KOG      
2017 05  28.34479  14 32 37.828  -14 10 17.21  24.6r 13GR137   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     0.02       0.00    -0.03
  2   0.0003     -4.95    -0.19      -0.04    -0.07
  3   0.0767  -1564.22    -0.03       2.88     0.10
  4   0.0845  -1757.14     0.17       1.89    -0.05
  5   0.0846  -1760.34     0.01       1.85    -0.05
  6   0.0848  -1765.70    -0.25       1.78    -0.07
  7   0.0848  -1766.09     0.06       1.78    -0.06
  8   0.0849  -1765.97 (   0.52)      1.97 (   0.14)
  9   0.0849  -1766.59     0.25       1.81    -0.02
 10   0.0877  -1838.19     0.04       1.54     0.11
 11   0.0899  -1893.27     0.14       1.29     0.10
 12   0.0900  -1896.57    -0.13       1.22     0.07
 13   0.0902  -1899.45     0.01       1.09    -0.02
 14   0.1778  -4192.61    -0.08     -27.78    -0.01
 15   0.1805  -4261.99    -0.22     -29.10     0.06
 16   0.3252  -6788.55     0.21    -136.88    -0.03
 17   0.3307  -6823.24    -0.10    -141.80     0.09
 18   0.9720   5232.52    -0.03    -352.52    -0.00
 19   1.0566   3819.73     0.15    -346.29     0.04
 20   1.0567   3817.18     0.03    -346.43    -0.07
 21   1.1440   1615.22     0.09    -364.47    -0.01
 22   1.1442   1608.90    -0.15    -364.60    -0.01
 23   1.1442   1608.63    -0.05    -364.62    -0.03
 24   1.2071      4.89     0.18    -395.11    -0.08
 25   1.2235   -369.76    -0.03    -405.17    -0.01
 26   3.2270   9421.50    -0.02   -1111.24    -0.09
 27   3.2272   9416.86    -0.16   -1111.14     0.16
 28   4.2238  14465.75     0.11   -1463.40     0.02
 29   4.2240  14461.38    -0.03   -1463.59    -0.04

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.

13GR137    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        42.388    42.399    42.377
ecceobj         0.043     0.043     0.043
incobj          4.236     4.236     4.236
qmin           40.227    40.240    40.212
qmax           45.405    45.382    45.385
amean          42.690    42.692    42.680
amin           42.360    42.367    42.353
amax           43.040    43.036    43.011
emean           0.035     0.033     0.035
emin            0.013     0.010     0.011
emax            0.056     0.055     0.055
imean           2.461     2.436     2.431
imin            1.306     1.282     1.243
imax            3.609     3.609     3.609
excite_mean     0.056     0.055     0.056
fracstop        1.000     1.000     1.000
cjmean          3.082     3.082     3.082

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       193.8     195.6     190.0
kozaiamp        180.0     180.0     180.0