Orbit Fit and Astrometric record for 13GN158

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: 13GN158   
# Created Fri Dec  3 02:11:38 2021
# Orbit generated from Bernstein formalism
# Fitting     20 observations of     20
# Arc:   4.22y
# First observation: 2013/03/07
#  Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.000080   0.026792   0.000016   0.004970   0.026869   0.000000
# Chi-squared of fit:     6.69 DOF:     34 RMS:  0.10
# Min/Max residuals:    -0.30    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.676987E-05  2.703291E-02  3.479227E-06  5.040908E-03  2.697247E-02  6.199240E-03
# Covariance matrix:
  2.0935E-13 -9.5143E-14  3.7073E-15 -2.4310E-14  1.4914E-13 -1.2004E-12
 -9.5143E-14  6.6762E-13 -3.3495E-14  1.6824E-13  1.3686E-13  8.3931E-12
  3.7073E-15 -3.3495E-14  1.0538E-13 -4.1958E-14 -6.5870E-15 -4.4669E-13
 -2.4310E-14  1.6824E-13 -4.1958E-14  8.1509E-14  2.3800E-14  2.2650E-12
  1.4914E-13  1.3686E-13 -6.5870E-15  2.3800E-14  2.9505E-13  1.2076E-12
 -1.2004E-12  8.3931E-12 -4.4669E-13  2.2650E-12  1.2076E-12  1.1295E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.169758 -142.155140    0.768763    0.023824   -0.627798  2456359.054538
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:           66.92767 +/-     0.046
Argument of Peri:      281.04337 +/-     0.023
Long of Asc Node:      205.40655 +/-     0.000
Inclination:            10.79421 +/-     0.000
Eccentricity:         0.20597014 +/-    0.0004
Semi-Major Axis:     39.31906830 +/-    0.0094
Time of Perihelion: 2439608.5348 +/-       9.7
Perihelion:          31.22051434 +/-    0.0170
Aphelion:            47.41762226 +/-    0.0190
Period (y)              246.5546 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -30.22257961 +/-    0.0006
Ecliptic Y          -22.50639028 +/-    0.0004
Ecliptic Z            1.40380886 +/-    0.0000
Ecliptic XDOT         0.00119600 +/-    0.0000
Ecliptic YDOT        -0.00254007 +/-    0.0000
Ecliptic ZDOT         0.00053527 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.70825640 +/-    0.0005
Geocenter to KBO     37.07483441 +/-    0.0007
# Hcoef:  8.11

The following table shows the complete astrometric record for 13GN158. 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 (13GN158) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.55376  14 24 48.168  -12 04 18.05  23.4r 13GN158   568  C~4n38      
2013 03  07.61085  14 24 48.014  -12 04 16.99  23.8r 13GN158   568  C~4n38      
2013 04  04.55473  14 23 02.429  -11 52 59.66  23.9r 13GN158   568  C~4n38      
2013 04  07.41499  14 22 49.092  -11 51 39.84  23.6r 13GN158   568  C~4n38      
2013 04  07.45875  14 22 48.878  -11 51 38.65  23.1r 13GN158   568  C~4n38      
2013 04  08.44736  14 22 44.192  -11 51 10.72  23.2r 13GN158   568  C~4n38      
2013 04  09.39399  14 22 39.675  -11 50 43.67  23.7r 13GN158   568  C~4n38      
2013 04  09.43719  14 22 39.445  -11 50 42.49  24.0r 13GN158   568  C~4n38      
2013 04  09.48058  14 22 39.247  -11 50 41.34  23.8r 13GN158   568  C~4n38      
2013 05  11.48217  14 19 58.141  -11 35 26.41  23.9r 13GN158   568  C~4n38      
2013 05  12.48442  14 19 53.198  -11 34 59.05  23.6r 13GN158   568  C~4n38      
2013 06  12.37957  14 17 42.757  -11 23 20.59  23.9r 13GN158   568  C~4n38      
2013 06  12.42509  14 17 42.598  -11 23 19.67  23.7r 13GN158   568  C~4n38      
2013 07  06.34710  14 16 47.652  -11 18 43.73  24.5r 13GN158   568  C~4n38      
2014 02  24.57786  14 31 32.034  -12 20 30.04  24.3r 13GN158   568  C~4n38      
2014 02  25.54746  14 31 30.494  -12 20 15.97  24.6r 13GN158   568  C~4n38      
2016 05  29.36402  14 37 35.978  -12 07 35.29  24.4w 13GN158   568  C~4n38      
2016 06  05.34911  14 37 06.304  -12 05 13.02  24.1w 13GN158   568  C~4n38      
2017 05  26.32046  14 44 05.161  -12 20 43.00  24.0r 13GN158   568  C~4n38      
2017 05  26.38561  14 44 04.855  -12 20 41.57  23.9r 13GN158   568  C~4n38      

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    -0.19       0.00    -0.11
     2   0.0002     -2.48    -0.05       0.28    -0.13
     3   0.0767  -1687.39     0.02     142.71    -0.01
     4   0.0845  -1898.47     0.08     155.05    -0.02
     5   0.0846  -1901.83     0.05     155.16    -0.07
     6   0.0873  -1975.96     0.13     159.38     0.02
     7   0.0899  -2047.46     0.15     163.56     0.27
     8   0.0900  -2051.04    -0.10     163.59     0.14
     9   0.0901  -2054.16     0.13     163.74     0.13
    10   0.1778  -4589.89     0.03     262.19    -0.30
    11   0.1805  -4667.52    -0.08     264.43    -0.10
    12   0.2651  -6709.47    -0.00     299.11     0.04
    13   0.2652  -6711.99    -0.13     299.21     0.14
    14   0.3307  -7566.89     0.01     295.27     0.06
    15   0.9693   5924.13    -0.07     963.41    -0.04
    16   0.9719   5898.25     0.03     969.65    -0.04
    17   3.2274  10758.40    -0.02    3371.08    -0.01
    18   3.2465  10299.27     0.06    3371.07    -0.02
    19   4.2184  16456.28    -0.03    4380.30     0.01
    20   4.2186  16451.54     0.00    4380.30     0.02

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.

13GN158    quality flag:3

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

axisobj        39.168    39.195    39.140
ecceobj         0.203     0.204     0.202
incobj         10.812    10.812    10.812
qmin           29.559    29.701    29.481
qmax           49.687    49.757    49.627
amean          39.455    39.455    39.455
amin           39.084    39.091    39.061
amax           39.895    39.886    39.918
emean           0.218     0.217     0.218
emin            0.185     0.186     0.182
emax            0.248     0.248     0.250
imean          10.055    10.093    10.086
imin            8.831     8.918     8.767
imax           11.632    11.638    11.590
excite_mean     0.280     0.279     0.280
fracstop        1.000     1.000     1.000
cjmean          2.963     2.963     2.962

libcent 0       179.6     179.6     179.5
libamp  0        44.7      40.5      55.0
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       168.7     170.8     167.9
kozaiamp        180.0     180.0     180.0