Orbit Fit and Astrometric record for 13GZ137

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: 13GZ137   
# Created Mon Oct 23 01:38:15 2017
# Orbit generated from Bernstein formalism
# Fitting   30 observations of   30
# Arc:   4.23y
# First observation: 2013/03/07
#  Last observation: 2017/05/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000196   0.022972  -0.000028   0.008850   0.024595   0.000000
# Chi-squared of fit:    13.04 DOF:   54 RMS:  0.12
# Min/Max residuals:    -0.28    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.350694E-05  2.290353E-02  6.257465E-06  8.807657E-03  2.484274E-02  1.575510E-03
# Covariance matrix:
  1.5586E-13 -1.4677E-13  2.1975E-14 -6.6626E-14  6.4687E-14 -1.7321E-12
 -1.4677E-13  4.0966E-13 -6.6057E-14  1.9997E-13  3.1830E-14  5.2231E-12
  2.1975E-14 -6.6057E-14  8.5336E-14 -6.0849E-14 -3.5711E-15 -9.0491E-13
 -6.6626E-14  1.9997E-13 -6.0849E-14  1.3237E-13  1.0636E-14  2.7396E-12
  6.4687E-14  3.1830E-14 -3.5711E-15  1.0636E-14  1.2976E-13  2.9167E-13
 -1.7321E-12  5.2231E-12 -9.0491E-13  2.7396E-12  2.9167E-13  7.1540E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.770312 -142.274715    0.767450    0.019496   -0.629550  2456359.054538
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:           73.35231 +/-     0.051
Argument of Peri:      285.91671 +/-     0.049
Long of Asc Node:      212.13578 +/-     0.000
Inclination:            21.14874 +/-     0.000
Eccentricity:         0.04959939 +/-    0.0004
Semi-Major Axis:     41.37928947 +/-    0.0047
Time of Perihelion: 2436540.5103 +/-      13.3
Perihelion:          39.32690200 +/-    0.0154
Aphelion:            43.43167693 +/-    0.0155
Period (y)              266.1845 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -32.78977315 +/-    0.0005
Ecliptic Y          -24.39450036 +/-    0.0004
Ecliptic Z            1.24380091 +/-    0.0000
Ecliptic XDOT         0.00142465 +/-    0.0000
Ecliptic YDOT        -0.00208363 +/-    0.0000
Ecliptic ZDOT         0.00097571 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.88774770 +/-    0.0004
Geocenter to KBO     40.25320737 +/-    0.0006
# Hcoef:  7.81

The following table shows the complete astrometric record for 13GZ137. 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 (13GZ137) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.55376  14 23 48.823  -12 24 41.23  23.6r 13GZ137   568  C~1XRZ      
2013 03  07.61085  14 23 48.656  -12 24 40.02  23.5r 13GZ137   568  C~1XRZ      
2013 04  04.55473  14 22 10.324  -12 13 11.06  23.6r 13GZ137   568  C~1XRZ      
2013 04  07.41499  14 21 57.931  -12 11 50.59  23.4r 13GZ137   568  C~1XRZ      
2013 04  07.45875  14 21 57.740  -12 11 49.13  23.8r 13GZ137   568  C~1XRZ      
2013 04  08.44736  14 21 53.398  -12 11 21.41  23.1r 13GZ137   568  C~1XRZ      
2013 04  08.49256  14 21 53.176  -12 11 19.69  22.9r 13GZ137   568  C~1XRZ      
2013 04  09.39399  14 21 49.191  -12 10 54.15  23.3r 13GZ137   568  C~1XRZ      
2013 04  09.43719  14 21 48.985  -12 10 52.82  23.9r 13GZ137   568  C~1XRZ      
2013 04  09.48059  14 21 48.792  -12 10 51.75  24.5r 13GZ137   568  C~1XRZ      
2013 05  11.48217  14 19 19.551  -11 55 23.96  23.9r 13GZ137   568  C~1XRZ      
2013 05  12.48442  14 19 14.971  -11 54 56.12  23.8r 13GZ137   568  C~1XRZ      
2013 06  12.37957  14 17 14.101  -11 42 43.07  23.9r 13GZ137   568  C~1XRZ      
2013 07  04.33899  14 16 25.322  -11 37 33.15  24.0r 13GZ137   568  C~1XRZ      
2013 07  06.34710  14 16 22.844  -11 37 15.67  23.9r 13GZ137   568  C~1XRZ      
2013 08  02.26251  14 16 24.677  -11 36 25.10  23.8r 13GZ137   568  C~1XRZ      
2013 08  05.26320  14 16 28.979  -11 36 40.92  23.8r 13GZ137   568  C~1XRZ      
2014 02  02.65078  14 30 05.272  -12 28 28.60  24.0r 13GZ137   568  C~1XRZ      
2014 02  02.65647  14 30 05.262  -12 28 28.21  23.9r 13GZ137   568  C~1XRZ      
2014 02  03.59530  14 30 05.826  -12 28 22.83  24.2r 13GZ137   568  C~1XRZ      
2014 02  24.57786  14 29 55.410  -12 24 30.86  23.8r 13GZ137   568  C~1XRZ      
2014 02  25.54746  14 29 53.921  -12 24 15.42  24.1r 13GZ137   568  C~1XRZ      
2014 02  27.65842  14 29 50.384  -12 23 40.41  23.9r 13GZ137   568  C~1XRZ      
2014 03  28.49795  14 28 26.750  -12 13 03.13  24.0r 13GZ137   568  C~1XRZ      
2014 04  05.42769  14 27 54.494  -12 09 28.78  23.8r 13GZ137   568  C~1XRZ      
2014 05  28.38556  14 23 54.165  -11 45 05.91  23.7r 13GZ137   568  C~1XRZ      
2017 05  02.33049  14 43 08.44   -11 44 22.5   24.1R 13GZ137   G37  C~2Fa1      
2017 05  02.39761  14 43 08.12   -11 44 20.5         13GZ137   G37  C~2Fa1      
2017 05  29.35708  14 41 04.861  -11 33 01.80  23.8r 13GZ137   568  C~2KOG      
2017 05  29.42223  14 41 04.578  -11 33 00.38  23.9r 13GZ137   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     0.22       0.00    -0.13
  2   0.0002     -2.71    -0.00       0.36    -0.16
  3   0.0767  -1589.04     0.01     187.14     0.06
  4   0.0845  -1787.01    -0.09     204.47    -0.09
  5   0.0846  -1790.14    -0.10     204.94     0.14
  6   0.0873  -1859.35     0.21     210.56    -0.19
  7   0.0874  -1862.99    -0.18     211.13     0.14
  8   0.0899  -1926.54     0.00     216.37    -0.04
  9   0.0900  -1929.83    -0.17     216.65     0.00
 10   0.0901  -1932.85    -0.05     216.75    -0.14
 11   0.1778  -4305.38     0.18     382.73     0.14
 12   0.1805  -4378.03     0.10     387.14     0.16
 13   0.2651  -6296.13     0.09     499.72     0.15
 14   0.3252  -7075.53    -0.04     557.39    -0.06
 15   0.3307  -7115.71     0.17     561.94    -0.13
 16   0.4044  -7106.88    -0.02     618.58     0.18
 17   0.4126  -7041.91    -0.28     624.40     0.01
 18   0.9092   5299.21     0.13    1545.89    -0.17
 19   0.9092   5298.95    -0.17    1546.21     0.11
 20   0.9118   5305.09     0.21    1553.94     0.04
 21   0.9693   5086.79    -0.03    1725.70     0.03
 22   0.9719   5061.19    -0.11    1733.44    -0.03
 23   0.9777   5000.91    -0.08    1750.23    -0.04
 24   1.0567   3635.69     0.04    1965.41    -0.03
 25   1.0784   3118.96    -0.05    2018.05    -0.00
 26   1.2234   -690.97    -0.00    2274.06     0.09
 27   4.1527  15427.37    -0.05    7650.11    -0.03
 28   4.1529  15422.26    -0.04    7650.57     0.14
 29   4.2267  13479.85     0.09    7739.72    -0.05
 30   4.2269  13475.44     0.03    7739.78    -0.09

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.

13GZ137    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.237    41.252    41.222
ecceobj         0.047     0.048     0.046
incobj         21.184    21.185    21.184
qmin           38.919    38.922    38.940
qmax           44.288    44.358    44.215
amean          41.495    41.510    41.479
amin           41.179    41.201    41.173
amax           41.825    41.836    41.806
emean           0.047     0.048     0.046
emin            0.037     0.038     0.036
emax            0.059     0.061     0.058
imean          21.952    21.952    21.952
imin           21.474    21.487    21.471
imax           22.371    22.378    22.380
excite_mean     0.377     0.377     0.377
fracstop        1.000     1.000     1.000
cjmean          2.900     2.900     2.900

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       183.6     183.1     184.1
kozaiamp        180.0     180.0     179.9