Orbit Fit and Astrometric record for 13GQ136

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: 13GQ136   
# Created Fri Nov 16 02:09:22 2018
# Orbit generated from Bernstein formalism
# Fitting   35 observations of   35
# Arc:   4.22y
# First observation: 2013/03/07
#  Last observation: 2017/05/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.000127   0.014584  -0.000001   0.000502   0.018285   0.000000
# Chi-squared of fit:    10.22 DOF:   64 RMS:  0.10
# Min/Max residuals:    -0.19    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.173722E-05  1.451175E-02  8.408113E-08  4.977729E-04  1.842116E-02 -1.522265E-03
# Covariance matrix:
  1.5003E-13 -1.0850E-13  1.3188E-15 -3.4315E-15  5.9721E-14 -1.7932E-12
 -1.0850E-13  2.7813E-13 -4.6488E-15  1.1422E-14  6.2879E-14  5.9407E-12
  1.3188E-15 -4.6488E-15  7.3734E-14 -3.3700E-14 -1.3751E-15 -1.1371E-13
 -3.4315E-15  1.1422E-14 -3.3700E-14  3.5607E-14  3.0944E-15  2.7924E-13
  5.9721E-14  6.2879E-14 -1.3751E-15  3.0944E-15  1.3390E-13  1.5968E-12
 -1.7932E-12  5.9407E-12 -1.1371E-13  2.7924E-13  1.5968E-12  1.4523E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.479297 -142.340901    0.766321    0.005316   -0.631209  2456359.090898
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:          228.15291 +/-     0.185
Argument of Peri:      158.12749 +/-     0.180
Long of Asc Node:      203.40878 +/-     0.005
Inclination:             2.03612 +/-     0.001
Eccentricity:         0.17375439 +/-    0.0005
Semi-Major Axis:     48.60197878 +/-    0.0059
Time of Perihelion: 2501676.5016 +/-      63.2
Perihelion:          40.15717169 +/-    0.0230
Aphelion:            57.04678587 +/-    0.0235
Period (y)              338.8357 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -43.94072012 +/-    0.0009
Ecliptic Y          -32.94213897 +/-    0.0007
Ecliptic Z            0.45412903 +/-    0.0000
Ecliptic XDOT         0.00149107 +/-    0.0000
Ecliptic YDOT        -0.00156818 +/-    0.0000
Ecliptic ZDOT         0.00007222 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   54.91973814 +/-    0.0008
Geocenter to KBO     54.28540526 +/-    0.0011
# Hcoef:  6.56

The following table shows the complete astrometric record for 13GQ136. 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 (13GQ136) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.59012  14 21 50.657  -13 36 42.70  23.0r 13GQ136   568  C~1WkW      
2013 03  07.64267  14 21 50.536  -13 36 42.20  24.1r 13GQ136   568  C~1WkW      
2013 04  04.53472  14 20 32.252  -13 29 52.19  24.0r 13GQ136   568  C~1WkW      
2013 04  07.39521  14 20 22.527  -13 29 01.69  23.6r 13GQ136   568  C~1WkW      
2013 04  07.43903  14 20 22.386  -13 29 01.13  23.8r 13GQ136   568  C~1WkW      
2013 04  08.42769  14 20 18.959  -13 28 43.50  24.2r 13GQ136   568  C~1WkW      
2013 04  08.47292  14 20 18.813  -13 28 42.77  23.8r 13GQ136   568  C~1WkW      
2013 04  09.37434  14 20 15.673  -13 28 26.58  23.5r 13GQ136   568  C~1WkW      
2013 04  09.41746  14 20 15.531  -13 28 25.76  23.8r 13GQ136   568  C~1WkW      
2013 04  09.46061  14 20 15.371  -13 28 24.99  23.5r 13GQ136   568  C~1WkW      
2013 05  11.46227  14 18 18.918  -13 18 27.38  23.7r 13GQ136   568  C~1WkW      
2013 06  12.35950  14 16 40.276  -13 10 06.14  23.8r 13GQ136   568  C~1WkW      
2013 06  12.40439  14 16 40.164  -13 10 05.53  23.7r 13GQ136   568  C~1WkW      
2013 07  04.31926  14 16 00.297  -13 06 46.08  24.2r 13GQ136   568  C~1WkW      
2013 07  06.32704  14 15 58.093  -13 06 35.37  23.7r 13GQ136   568  C~1WkW      
2013 08  02.25463  14 15 55.147  -13 06 27.40  23.9r 13GQ136   568  C~1WkW      
2013 08  05.25536  14 15 57.922  -13 06 42.34  23.7r 13GQ136   568  C~1WkW      
2014 02  24.58951  14 25 26.778  -13 52 55.12  23.6r 13GQ136   568  C~1WkW      
2014 02  25.57248  14 25 25.409  -13 52 47.66  24.1r 13GQ136   568  C~1WkW      
2014 02  28.52057  14 25 20.958  -13 52 22.95  24.4r 13GQ136   568  C~1WkW      
2014 04  04.42334  14 23 51.083  -13 44 34.41  23.7r 13GQ136   568  C~1WkW      
2014 04  04.46261  14 23 50.957  -13 44 33.79  23.8r 13GQ136   568  C~1WkW      
2014 04  05.48108  14 23 47.554  -13 44 16.01  23.6r 13GQ136   568  C~1WkW      
2014 04  05.53642  14 23 47.341  -13 44 15.29  23.9r 13GQ136   568  C~1WkW      
2014 04  30.10956  14 22 18.85   -13 36 45.0         13GQ136   W84  C~2fc7      
2014 04  30.17846  14 22 18.59   -13 36 43.7   24.2V 13GQ136   W84  C~2fc7      
2014 05  01.09622  14 22 15.18   -13 36 26.6         13GQ136   W84  C~2fc7      
2014 05  01.16603  14 22 14.94   -13 36 25.1         13GQ136   W84  C~2fc7      
2014 05  22.44598  14 20 58.954  -13 30 01.85  23.5r 13GQ136   568  C~1WkW      
2014 05  25.43819  14 20 49.063  -13 29 12.32  23.9r 13GQ136   568  C~1WkW      
2015 01  26.64290  14 28 51.762  -14 08 16.51  23.9r 13GQ136   568  C~1WkW      
2016 02  14.57372  14 32 12.571  -14 22 21.16  23.8r 13GQ136   568  C~2KOF      
2016 02  14.63952  14 32 12.530  -14 22 20.86  24.1r 13GQ136   568  C~2KOF      
2017 05  28.27970  14 30 38.193  -14 12 02.33  23.7r 13GQ136   568  C~2KOF      
2017 05  28.34479  14 30 37.977  -14 12 01.27  23.6r 13GQ136   568  C~2KOF      

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     0.15       0.00     0.07
  2   0.0001     -1.83     0.09      -0.10    -0.05
  3   0.0765  -1214.67    -0.06      17.11    -0.01
  4   0.0843  -1365.24    -0.18      18.71     0.14
  5   0.0845  -1367.37     0.07      18.58    -0.00
  6   0.0872  -1420.38    -0.11      18.98    -0.08
  7   0.0873  -1422.63     0.10      18.97    -0.08
  8   0.0898  -1471.21    -0.04      19.37    -0.14
  9   0.0899  -1473.43     0.09      19.47    -0.04
 10   0.0900  -1475.89     0.00      19.44    -0.08
 11   0.1776  -3277.44    -0.05      29.54     0.01
 12   0.2649  -4803.07    -0.04      30.35    -0.06
 13   0.2651  -4804.82    -0.06      30.39    -0.01
 14   0.3251  -5420.74     0.05      26.98     0.03
 15   0.3306  -5454.69    -0.16      26.48    -0.03
 16   0.4043  -5497.98     0.04      19.81    -0.04
 17   0.4125  -5454.75     0.17      19.07     0.00
 18   0.9692   3294.61    -0.05      94.19    -0.06
 19   0.9719   3273.33    -0.13      94.87    -0.17
 20   0.9800   3203.99     0.05      97.50     0.13
 21   1.0755   1813.49    -0.08     120.55     0.04
 22   1.0756   1811.55     0.04     120.54     0.03
 23   1.0784   1758.88     0.13     121.41     0.38
 24   1.0786   1755.71    -0.11     121.09     0.05
 25   1.1458    389.62     0.03     130.90    -0.02
 26   1.1460    385.61     0.02     130.91    -0.01
 27   1.1485    333.04    -0.12     131.00    -0.19
 28   1.1487    329.25     0.13     131.29     0.11
 29   1.2070   -843.21     0.07     134.58     0.18
 30   1.2152   -995.75    -0.04     134.54     0.03
 31   1.8893   6417.77    -0.00     171.88     0.05
 32   2.9404   9459.11     0.06     291.11    -0.10
 33   2.9406   9458.45    -0.02     291.20    -0.04
 34   4.2237   7959.55    -0.00     447.23    -0.04
 35   4.2238   7956.23    -0.00     447.25    -0.00

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.

13GQ136    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        48.452    48.469    48.436
ecceobj         0.178     0.179     0.177
incobj          2.041     2.041     2.041
qmin           39.571    39.543    39.639
qmax           58.445    58.521    58.349
amean          48.781    48.798    48.764
amin           48.342    48.350    48.333
amax           49.283    49.303    49.246
emean           0.174     0.175     0.173
emin            0.162     0.163     0.161
emax            0.186     0.187     0.185
imean           2.993     2.995     2.990
imin            2.682     2.684     2.681
imax            3.325     3.326     3.321
excite_mean     0.182     0.183     0.180
fracstop        1.000     1.000     1.000
cjmean          3.120     3.120     3.121

libcent 0      -180.0     235.4    -180.0
libamp  0      -180.0     121.1    -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       183.4     183.2     183.6
kozaiamp        180.0     180.0     179.9