Orbit Fit and Astrometric record for 13GC138

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: 13GC138   
# Created Wed Dec 13 02:37:53 2017
# Orbit generated from Bernstein formalism
# Fitting   33 observations of   33
# Arc:   3.25y
# First observation: 2013/03/07
#  Last observation: 2016/06/05
Preliminary a, adot, b, bdot, g, gdot:
  -0.000132   0.021681   0.000006  -0.000809   0.022956   0.000000
# Chi-squared of fit:     8.04 DOF:   60 RMS:  0.09
# Min/Max residuals:    -0.17    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.481255E-05  2.162025E-02 -4.228071E-07 -8.029733E-04  2.309572E-02 -5.847731E-04
# Covariance matrix:
  1.2864E-13 -1.1119E-13 -1.3772E-15  3.6486E-15  2.7554E-14 -1.7021E-12
 -1.1119E-13  3.4053E-13  4.9699E-15 -1.4956E-14  1.2163E-13  7.0130E-12
 -1.3772E-15  4.9699E-15  9.2010E-14 -5.9389E-14  1.4750E-15  1.3560E-13
  3.6486E-15 -1.4956E-14 -5.9389E-14  7.4228E-14 -5.3951E-15 -4.0181E-13
  2.7554E-14  1.2163E-13  1.4750E-15 -5.3951E-15  1.5428E-13  2.5468E-12
 -1.7021E-12  7.0130E-12  1.3560E-13 -4.0181E-13  2.5468E-12  1.8831E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.214905 -141.872000    0.771858    0.024171   -0.623974  2456359.054538
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:          240.88975 +/-     0.355
Argument of Peri:      257.75912 +/-     0.353
Long of Asc Node:       83.27923 +/-     0.010
Inclination:             3.02550 +/-     0.001
Eccentricity:         0.05026606 +/-    0.0005
Semi-Major Axis:     42.80135301 +/-    0.0025
Time of Perihelion: 2490190.5732 +/-     100.8
Perihelion:          40.64989778 +/-    0.0231
Aphelion:            44.95280823 +/-    0.0231
Period (y)              280.0235 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -35.00075407 +/-    0.0006
Ecliptic Y          -26.48949452 +/-    0.0005
Ecliptic Z            1.67336782 +/-    0.0000
Ecliptic XDOT         0.00162775 +/-    0.0000
Ecliptic YDOT        -0.00197491 +/-    0.0000
Ecliptic ZDOT        -0.00009766 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.92660089 +/-    0.0005
Geocenter to KBO     43.29806773 +/-    0.0007
# Hcoef:  7.32

The following table shows the complete astrometric record for 13GC138. 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 (13GC138) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.55376  14 25 57.500  -12 07 10.68  24.0r 13GC138   568  C~1XRa      
2013 03  07.61085  14 25 57.347  -12 07 09.90  23.5r 13GC138   568  C~1XRa      
2013 04  04.55473  14 24 24.046  -11 58 42.16  23.6r 13GC138   568  C~1XRa      
2013 04  07.41499  14 24 12.315  -11 57 41.35  23.1r 13GC138   568  C~1XRa      
2013 04  07.45875  14 24 12.129  -11 57 40.32  23.6r 13GC138   568  C~1XRa      
2013 04  08.44736  14 24 08.001  -11 57 19.08  23.9r 13GC138   568  C~1XRa      
2013 04  08.49256  14 24 07.803  -11 57 18.04  22.4r 13GC138   568  C~1XRa      
2013 04  09.39399  14 24 04.026  -11 56 58.54  23.4r 13GC138   568  C~1XRa      
2013 04  09.43719  14 24 03.829  -11 56 57.65  23.4r 13GC138   568  C~1XRa      
2013 04  09.48059  14 24 03.664  -11 56 56.68  23.8r 13GC138   568  C~1XRa      
2013 05  11.48217  14 21 41.717  -11 45 14.73  23.6r 13GC138   568  C~1XRa      
2013 07  04.33899  14 18 52.171  -11 33 10.64  23.8r 13GC138   568  C~1XRa      
2013 07  06.34710  14 18 49.542  -11 33 04.29  23.7r 13GC138   568  C~1XRa      
2013 08  02.27448  14 18 47.036  -11 34 28.54  23.9r 13GC138   568  C~1XRa      
2014 02  02.65078  14 31 14.608  -12 37 26.17  23.5r 13GC138   568  C~1XRa      
2014 02  02.65647  14 31 14.629  -12 37 26.14  23.5r 13GC138   568  C~1XRa      
2014 02  03.59530  14 31 15.081  -12 37 25.56  23.9r 13GC138   568  C~1XRa      
2014 02  24.57786  14 31 03.914  -12 35 36.19  23.5r 13GC138   568  C~1XRa      
2014 02  24.60122  14 31 03.874  -12 35 35.97  23.5r 13GC138   568  C~1XRa      
2014 02  25.54746  14 31 02.454  -12 35 26.63  23.7r 13GC138   568  C~1XRa      
2014 02  25.58427  14 31 02.402  -12 35 26.34  23.9r 13GC138   568  C~1XRa      
2014 02  28.53222  14 30 57.485  -12 34 55.32  23.7r 13GC138   568  C~1XRa      
2014 03  28.44948  14 29 38.959  -12 27 40.63  23.8r 13GC138   568  C~1XRa      
2014 03  28.48858  14 29 38.813  -12 27 39.82  23.5r 13GC138   568  C~1XRa      
2014 04  05.42266  14 29 08.080  -12 25 00.86  23.6r 13GC138   568  C~1XRa      
2014 05  22.43816  14 25 42.290  -12 08 27.51  23.8r 13GC138   568  C~1XRa      
2014 05  25.37427  14 25 30.366  -12 07 33.77  23.6r 13GC138   568  C~1XRa      
2014 05  25.37889  14 25 30.352  -12 07 33.62  23.6r 13GC138   568  C~1XRa      
2014 05  25.38376  14 25 30.327  -12 07 33.47  23.6r 13GC138   568  C~1XRa      
2014 05  25.40152  14 25 30.242  -12 07 33.23  23.7r 13GC138   568  C~1XRa      
2014 06  26.34216  14 23 49.244  -12 00 32.66  23.8r 13GC138   568  C~1XRa      
2016 05  29.36402  14 34 49.373  -12 59 04.36  23.9w 13GC138   568  C~2KOG      
2016 06  05.34911  14 34 22.851  -12 57 12.21  23.8w 13GC138   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    -0.00       0.00    -0.03
  2   0.0002     -2.38    -0.11       0.02    -0.10
  3   0.0767  -1461.62    -0.10      41.99    -0.02
  4   0.0845  -1644.18     0.04      44.23    -0.09
  5   0.0846  -1647.10     0.01      44.33    -0.00
  6   0.0873  -1711.29     0.03      44.96    -0.05
  7   0.0874  -1714.38    -0.06      45.01    -0.01
  8   0.0899  -1773.14     0.08      45.65     0.01
  9   0.0900  -1776.16    -0.06      45.56    -0.09
 10   0.0901  -1778.76     0.23      45.70     0.04
 11   0.1778  -3978.07    -0.08      37.70     0.08
 12   0.3252  -6570.69    -0.07     -86.69     0.14
 13   0.3307  -6609.33     0.01     -93.29     0.04
 14   0.4044  -6616.68     0.06    -184.99    -0.06
 15   0.9092   4983.19    -0.17    -245.33    -0.08
 16   0.9092   4983.47     0.08    -245.21     0.03
 17   0.9118   4989.57     0.18    -242.57     0.19
 18   0.9693   4799.84     0.03    -190.33    -0.07
 19   0.9693   4799.21    -0.02    -190.30    -0.09
 20   0.9719   4776.53    -0.10    -188.00     0.00
 21   0.9720   4775.72     0.03    -187.96    -0.03
 22   0.9801   4697.58     0.00    -181.24    -0.00
 23   1.0565   3468.77    -0.12    -132.43    -0.05
 24   1.0566   3466.48    -0.12    -132.34     0.01
 25   1.0784   2989.02     0.26    -124.29     0.16
 26   1.2071   -186.72    -0.08    -144.20     0.10
 27   1.2151   -369.58     0.06    -149.31    -0.02
 28   1.2151   -369.83     0.10    -149.23     0.07
 29   1.2151   -370.22     0.01    -149.21     0.10
 30   1.2152   -371.48    -0.13    -149.38    -0.03
 31   1.3026  -1909.61     0.00    -226.89    -0.05
 32   3.2274   8376.87    -0.02    -492.72    -0.01
 33   3.2465   7972.92     0.02    -507.23    -0.08

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.

13GC138    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        42.656    42.663    42.649
ecceobj         0.054     0.054     0.054
incobj          3.025     3.025     3.025
qmin           39.645    39.667    39.658
qmax           46.475    46.526    46.439
amean          42.955    42.963    42.948
amin           42.614    42.625    42.613
amax           43.308    43.317    43.299
emean           0.056     0.056     0.056
emin            0.032     0.032     0.033
emax            0.073     0.074     0.073
imean           1.241     1.241     1.242
imin            0.020     0.028     0.020
imax            2.174     2.179     2.171
excite_mean     0.061     0.061     0.061
fracstop        1.000     1.000     1.000
cjmean          3.085     3.085     3.085

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       172.8     172.3     172.5
kozaiamp        180.0     180.0     180.0