Orbit Fit and Astrometric record for 13GY136

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: 13GY136   
# Created Thu Dec 14 02:37:53 2017
# Orbit generated from Bernstein formalism
# Fitting   38 observations of   38
# Arc:   2.12y
# First observation: 2013/03/07
#  Last observation: 2015/04/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.000294   0.033978  -0.000039   0.006524   0.028311   0.000000
# Chi-squared of fit:    10.11 DOF:   70 RMS:  0.09
# Min/Max residuals:    -0.28    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.932422E-05  3.343561E-02  2.196623E-06  6.392051E-03  2.842701E-02 -7.158914E-03
# Covariance matrix:
  1.2480E-13 -6.0797E-14  2.2965E-16 -6.8005E-16  6.8085E-14 -4.4375E-14
 -6.0797E-14  4.3507E-13 -1.8993E-14  9.0341E-14  1.5706E-13  7.0432E-12
  2.2965E-16 -1.8993E-14  7.8671E-14 -6.0808E-14 -8.4200E-15 -3.7582E-13
 -6.8005E-16  9.0341E-14 -6.0808E-14  1.0203E-13  4.0665E-14  1.7881E-12
  6.8085E-14  1.5706E-13 -8.4200E-15  4.0665E-14  1.7400E-13  3.1832E-12
 -4.4375E-14  7.0432E-12 -3.7582E-13  1.7881E-12  3.1832E-12  1.3941E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.457263 -140.053588    0.791242   -0.004748   -0.599673  2456359.058558
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:          341.17900 +/-     0.016
Argument of Peri:       43.99393 +/-     0.046
Long of Asc Node:      221.01375 +/-     0.000
Inclination:            10.89436 +/-     0.000
Eccentricity:         0.41157490 +/-    0.0003
Semi-Major Axis:     55.31585458 +/-    0.0166
Time of Perihelion: 2464206.7115 +/-       5.6
Perihelion:          32.54923731 +/-    0.0196
Aphelion:            78.08247185 +/-    0.0290
Period (y)              411.4174 +/-      0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -27.93451469 +/-    0.0004
Ecliptic Y          -22.36237150 +/-    0.0003
Ecliptic Z           -0.28065179 +/-    0.0000
Ecliptic XDOT         0.00258617 +/-    0.0000
Ecliptic YDOT        -0.00202856 +/-    0.0000
Ecliptic ZDOT         0.00062125 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.78395640 +/-    0.0004
Geocenter to KBO     35.17781127 +/-    0.0005
# Hcoef:  7.68

The following table shows the complete astrometric record for 13GY136. 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 (13GY136) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.55778  14 29 33.388  -15 13 52.42        13GY136   568  C~1XRW      
2013 03  07.56275  14 29 33.373  -15 13 52.59  23.2r 13GY136   568  C~1XRW      
2013 04  04.55875  14 27 48.028  -15 03 50.64  23.1r 13GY136   568  C~1XRW      
2013 04  07.41899  14 27 34.442  -15 02 34.48  23.2r 13GY136   568  C~1XRW      
2013 04  07.46275  14 27 34.230  -15 02 33.45  22.7r 13GY136   568  C~1XRW      
2013 04  07.46759  14 27 34.204  -15 02 33.29  22.9r 13GY136   568  C~1XRW      
2013 04  07.47260  14 27 34.169  -15 02 33.36  22.7r 13GY136   568  C~1XRW      
2013 04  07.47750  14 27 34.148  -15 02 33.04  23.0r 13GY136   568  C~1XRW      
2013 04  08.45133  14 27 29.439  -15 02 06.61  22.9r 13GY136   568  C~1XRW      
2013 04  08.49654  14 27 29.206  -15 02 05.34  22.7r 13GY136   568  C~1XRW      
2013 04  09.39790  14 27 24.807  -15 01 40.69  22.9r 13GY136   568  C~1XRW      
2013 04  09.44107  14 27 24.597  -15 01 39.49  22.9r 13GY136   568  C~1XRW      
2013 04  09.48468  14 27 24.371  -15 01 38.29  23.0r 13GY136   568  C~1XRW      
2013 05  11.48618  14 24 37.879  -14 46 02.65  23.2r 13GY136   568  C~1XRW      
2013 05  12.48847  14 24 32.727  -14 45 33.32  23.1r 13GY136   568  C~1XRW      
2013 06  12.38358  14 22 16.262  -14 32 09.80  23.1r 13GY136   568  C~1XRW      
2013 06  12.42921  14 22 16.099  -14 32 08.78  23.0r 13GY136   568  C~1XRW      
2013 07  06.26578  14 21 18.826  -14 25 40.34        13GY136   568  C~1XRW      
2013 07  07.29286  14 21 17.573  -14 25 29.59        13GY136   568  C~1XRW      
2013 08  02.27848  14 21 22.595  -14 24 01.55  23.3r 13GY136   568  C~1XRW      
2013 08  05.27930  14 21 27.817  -14 24 14.60  23.4r 13GY136   568  C~1XRW      
2014 02  01.63271  14 37 59.266  -15 32 37.19  23.2r 13GY136   568  C~1XRW      
2014 02  02.63050  14 38 00.516  -15 32 39.50  23.1r 13GY136   568  C~1XRW      
2014 02  03.57515  14 38 01.590  -15 32 41.04  23.1r 13GY136   568  C~1XRW      
2014 02  25.59980  14 37 57.747  -15 31 03.68  23.2r 13GY136   568  C~1XRW      
2014 02  28.54777  14 37 53.144  -15 30 31.34  23.2r 13GY136   568  C~1XRW      
2014 04  04.45085  14 35 57.684  -15 19 19.44  23.1r 13GY136   568  C~1XRW      
2014 04  04.49069  14 35 57.500  -15 19 18.40  22.9r 13GY136   568  C~1XRW      
2014 04  05.57974  14 35 52.422  -15 18 50.22  23.3r 13GY136   568  C~1XRW      
2014 05  22.42509  14 31 50.752  -14 56 40.85  23.1r 13GY136   568  C~1XRW      
2014 05  25.35772  14 31 36.546  -14 55 21.51  23.1r 13GY136   568  C~1XRW      
2014 06  26.34615  14 29 36.607  -14 43 40.05  22.9r 13GY136   568  C~1XRW      
2014 07  18.30910  14 29 05.946  -14 39 48.13  23.2r 13GY136   568  C~1XRW      
2015 01  26.61229  14 45 52.384  -15 46 03.34  23.5r 13GY136   568  C~1XRW      
2015 04  18.40695  14 43 07.856  -15 27 46.25  22.9r 13GY136   568  C~2KOF      
2015 04  20.42535  14 42 57.378  -15 26 50.11  22.8r 13GY136   568  C~2KOF      
2015 04  20.43040  14 42 57.351  -15 26 49.89  24.8u 13GY136   568  C~2KOF      
2015 04  20.46573  14 42 57.157  -15 26 48.98  22.9r 13GY136   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     0.28
  2   0.0000     -0.15    -0.09      -0.23     0.04
  3   0.0767  -1637.61     0.02      87.15     0.03
  4   0.0845  -1848.43     0.06      96.76     0.07
  5   0.0846  -1851.67     0.15      96.76    -0.05
  6   0.0846  -1852.08     0.12      96.79    -0.03
  7   0.0846  -1852.53     0.04      96.56    -0.28
  8   0.0847  -1852.92     0.02      96.77    -0.08
  9   0.0873  -1926.01     0.12     100.12    -0.01
 10   0.0874  -1929.62    -0.00     100.25    -0.01
 11   0.0899  -1997.88    -0.04     103.33    -0.01
 12   0.0900  -2001.15     0.03     103.50     0.04
 13   0.0901  -2004.63    -0.07     103.59     0.01
 14   0.1778  -4591.25     0.01     218.16    -0.03
 15   0.1805  -4671.48    -0.02     221.92    -0.06
 16   0.2651  -6806.93    -0.12     343.65     0.01
 17   0.2652  -6809.50    -0.16     343.85     0.03
 18   0.3305  -7723.46     0.04     441.65    -0.03
 19   0.3333  -7744.19     0.13     445.91    -0.00
 20   0.4044  -7703.73    -0.09     552.95    -0.10
 21   0.4127  -7627.63     0.05     565.24    -0.06
 22   0.9064   7305.70    -0.07    1210.21     0.01
 23   0.9092   7323.62     0.01    1213.55    -0.02
 24   0.9118   7338.89    -0.07    1216.85     0.05
 25   0.9721   7256.06     0.11    1292.52    -0.00
 26   0.9801   7182.73    -0.01    1302.88     0.04
 27   1.0757   5385.65     0.02    1427.80     0.03
 28   1.0758   5382.80     0.06    1427.97     0.07
 29   1.0788   5304.17    -0.26    1432.05     0.22
 30   1.2070   1563.57     0.00    1605.49     0.08
 31   1.2151   1343.17     0.09    1616.22    -0.10
 32   1.3026   -528.52     0.08    1734.27    -0.01
 33   1.3628  -1023.93    -0.02    1813.60    -0.03
 34   1.8893  14082.40     0.17    2511.61     0.18
 35   2.1132  11476.00    -0.01    2846.01    -0.07
 36   2.1187  11314.13    -0.00    2853.86    -0.08
 37   2.1187  11313.69    -0.03    2853.95    -0.00
 38   2.1188  11310.73    -0.09    2853.97    -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.

13GY136    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        55.071    55.108    55.034
ecceobj         0.410     0.411     0.410
incobj         10.909    10.909    10.909
qmin           31.845    31.855    32.046
qmax           80.450    80.547    80.280
amean          55.462    55.462    55.462
amin           54.688    54.683    54.762
amax           56.445    56.446    56.416
emean           0.411     0.412     0.409
emin            0.397     0.397     0.397
emax            0.427     0.427     0.423
imean          11.961    11.897    12.137
imin           11.218    11.273    11.541
imax           12.574    12.575    12.507
excite_mean     0.460     0.460     0.460
fracstop        1.000     1.000     1.000
cjmean          2.963     2.963     2.964

libcent 0       179.8     178.5     180.8
libamp  0        92.5     103.2      78.7
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       110.8     126.7      91.5
kozaiamp         80.2      96.2      53.8