Orbit Fit and Astrometric record for 13GG138

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: 13GG138   
# Created Thu Dec 14 02:37:53 2017
# Orbit generated from Bernstein formalism
# Fitting   39 observations of   39
# Arc:   4.23y
# First observation: 2013/03/07
#  Last observation: 2017/05/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000142   0.017049  -0.000021   0.007811   0.020756   0.000000
# Chi-squared of fit:    11.60 DOF:   72 RMS:  0.10
# Min/Max residuals:    -0.18    0.40
# Exact a, adot, b, bdot, g, gdot:
  1.233670E-05  1.701440E-02  6.648776E-06  7.772560E-03  2.091818E-02 -7.833102E-05
# Covariance matrix:
  8.8312E-14 -3.8251E-14  3.8440E-15 -1.4712E-14  4.8449E-14 -5.3900E-13
 -3.8251E-14  2.0058E-13 -3.1470E-14  1.1767E-13  6.7333E-14  4.3073E-12
  3.8440E-15 -3.1470E-14  6.1112E-14 -4.9657E-14 -1.0719E-14 -8.5413E-13
 -1.4712E-14  1.1767E-13 -4.9657E-14  1.2727E-13  3.9518E-14  3.1958E-12
  4.8449E-14  6.7333E-14 -1.0719E-14  3.9518E-14  1.1599E-13  1.4459E-12
 -5.3900E-13  4.3073E-12 -8.5413E-13  3.1958E-12  1.4459E-12  1.1699E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.292579 -141.092698    0.780139    0.013889   -0.613910  2456359.067598
# Heliocentric elements and errors
Epoch:              2456350.5000  =  2013/02/27
Mean Anomaly:          218.44625 +/-     0.865
Argument of Peri:      146.54442 +/-     0.866
Long of Asc Node:      215.19998 +/-     0.000
Inclination:            24.65158 +/-     0.001
Eccentricity:         0.02818550 +/-    0.0004
Semi-Major Axis:     47.36399236 +/-    0.0029
Time of Perihelion: 2503166.0108 +/-     286.0
Perihelion:          46.02901466 +/-    0.0181
Aphelion:            48.69897007 +/-    0.0181
Period (y)              325.9723 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -38.15742813 +/-    0.0006
Ecliptic Y          -29.79359827 +/-    0.0005
Ecliptic Z            1.07871618 +/-    0.0000
Ecliptic XDOT         0.00141822 +/-    0.0000
Ecliptic YDOT        -0.00171136 +/-    0.0000
Ecliptic ZDOT         0.00101695 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   48.42325317 +/-    0.0006
Geocenter to KBO     47.80530817 +/-    0.0008
# Hcoef:  6.62

The following table shows the complete astrometric record for 13GG138. 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 (13GG138) followed by the observatory code and reference code for the source of the astrometry.

2013 03  07.56682  14 27 46.726  -13 14 32.12  22.9r 13GG138   568  C~1XRa      
2013 03  07.61868  14 27 46.613  -13 14 31.10  23.2r 13GG138   568  C~1XRa      
2013 04  04.56717  14 26 22.682  -13 04 57.50  22.8r 13GG138   568  C~1XRa      
2013 04  07.42710  14 26 12.089  -13 03 50.05  23.7r 13GG138   568  C~1XRa      
2013 04  07.49093  14 26 11.833  -13 03 48.46  23.2r 13GG138   568  C~1XRa      
2013 04  07.49584  14 26 11.817  -13 03 48.32  23.0r 13GG138   568  C~1XRa      
2013 04  08.45963  14 26 08.183  -13 03 25.38  22.9r 13GG138   568  C~1XRa      
2013 04  08.50445  14 26 08.022  -13 03 24.26  22.6r 13GG138   568  C~1XRa      
2013 04  08.51364  14 26 07.977  -13 03 24.11  22.7r 13GG138   568  C~1XRa      
2013 04  08.54999  14 26 07.830  -13 03 23.11  23.5r 13GG138   568  C~1XRa      
2013 04  08.55507  14 26 07.821  -13 03 23.09  22.8r 13GG138   568  C~1XRa      
2013 04  09.40582  14 26 04.594  -13 03 02.63  23.1r 13GG138   568  C~1XRa      
2013 04  09.44883  14 26 04.430  -13 03 01.65  23.4r 13GG138   568  C~1XRa      
2013 04  09.51453  14 26 04.172  -13 03 00.00  23.3r 13GG138   568  C~1XRa      
2013 04  09.51849  14 26 04.149  -13 03 00.04  23.1r 13GG138   568  C~1XRa      
2013 04  09.52237  14 26 04.141  -13 02 59.89  23.3r 13GG138   568  C~1XRa      
2013 04  10.50021  14 26 00.389  -13 02 36.29  23.3r 13GG138   568  C~1XRa      
2013 04  10.54048  14 26 00.241  -13 02 35.21  23.2r 13GG138   568  C~1XRa      
2013 05  11.49407  14 23 55.627  -12 49 50.04  23.2r 13GG138   568  C~1XRa      
2013 05  12.49746  14 23 51.643  -12 49 25.99  23.3r 13GG138   568  C~1XRa      
2013 06  12.39168  14 22 05.358  -12 38 38.87  23.5r 13GG138   568  C~1XRa      
2013 06  12.43761  14 22 05.231  -12 38 38.07  23.6r 13GG138   568  C~1XRa      
2013 07  06.27410  14 21 18.044  -12 33 27.97  23.5r 13GG138   568  C~1XRa      
2013 07  07.30078  14 21 16.924  -12 33 19.28  23.6r 13GG138   568  C~1XRa      
2013 08  02.28656  14 21 14.670  -12 31 57.49  23.6r 13GG138   568  C~1XRa      
2013 08  06.25535  14 21 18.978  -12 32 08.42  23.8r 13GG138   568  C~1XRa      
2014 02  02.65078  14 32 37.298  -13 13 38.17  23.4r 13GG138   568  C~1XRa      
2014 02  02.65647  14 32 37.278  -13 13 38.13  23.7r 13GG138   568  C~1XRa      
2014 02  03.59530  14 32 37.730  -13 13 33.92  23.8r 13GG138   568  C~1XRa      
2014 02  24.60122  14 32 28.338  -13 10 25.32  23.7r 13GG138   568  C~1XRa      
2014 02  25.58427  14 32 27.039  -13 10 12.40  23.7r 13GG138   568  C~1XRa      
2014 02  28.53222  14 32 22.675  -13 09 31.55  23.5r 13GG138   568  C~1XRa      
2014 04  05.54119  14 30 44.032  -12 57 49.86  23.5r 13GG138   568  C~1XRa      
2014 06  26.34216  14 25 55.222  -12 28 45.30  23.6r 13GG138   568  C~1XRa      
2014 07  18.30511  14 25 29.412  -12 25 46.64  23.4r 13GG138   568  C~1XRa      
2015 01  26.64799  14 36 50.498  -13 06 55.85  23.6r 13GG138   568  C~1XRa      
2016 05  29.36402  14 35 59.566  -12 22 23.48  23.6w 13GG138   568  C~2KOG      
2016 06  05.34911  14 35 35.601  -12 20 10.00  23.4w 13GG138   568  C~2KOG      
2017 05  29.35708  14 40 24.872  -12 15 05.45  23.3r 13GG138   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     0.11       0.00    -0.16
  2   0.0001     -1.89     0.12       0.44     0.00
  3   0.0767  -1346.67    -0.11     153.51     0.26
  4   0.0845  -1514.89     0.03     167.99     0.07
  5   0.0847  -1518.95    -0.15     168.31     0.08
  6   0.0847  -1519.21    -0.12     168.36     0.11
  7   0.0873  -1576.86    -0.08     173.14    -0.01
  8   0.0874  -1579.45     0.08     173.45     0.09
  9   0.0875  -1580.12    -0.03     173.38    -0.02
 10   0.0876  -1582.48    -0.16     173.64     0.07
 11   0.0876  -1582.61     0.02     173.62     0.02
 12   0.0899  -1633.83    -0.01     177.93     0.01
 13   0.0900  -1636.41     0.05     178.10    -0.03
 14   0.0902  -1640.51    -0.00     178.46     0.02
 15   0.0902  -1640.82    -0.06     178.31    -0.14
 16   0.0902  -1640.98     0.02     178.41    -0.06
 17   0.0929  -1700.48    -0.05     183.25    -0.12
 18   0.0930  -1702.87     0.05     183.58     0.02
 19   0.1778  -3674.14     0.01     324.29     0.06
 20   0.1805  -3737.07    -0.07     328.32     0.02
 21   0.2651  -5418.58     0.06     439.50    -0.08
 22   0.2652  -5420.60     0.07     439.66    -0.06
 23   0.3305  -6175.14    -0.06     509.59    -0.10
 24   0.3333  -6193.48     0.40     512.50     0.03
 25   0.4044  -6251.26    -0.10     579.22    -0.18
 26   0.4153  -6187.98    -0.07     589.31    -0.01
 27   0.9092   4009.37     0.19    1390.83     0.09
 28   0.9092   4009.08    -0.12    1390.77     0.00
 29   0.9118   4014.03     0.13    1396.84    -0.07
 30   0.9693   3824.60    -0.07    1532.96    -0.02
 31   0.9720   3802.53     0.01    1539.28     0.02
 32   0.9801   3729.17    -0.08    1558.08     0.07
 33   1.0786   2139.91    -0.09    1770.91     0.08
 34   1.3026  -2421.51    -0.01    2083.69     0.05
 35   1.3627  -2836.93     0.02    2132.06    -0.08
 36   1.8893   7401.37     0.17    2926.06    -0.08
 37   3.2274   5863.45     0.03    5237.52     0.05
 38   3.2465   5487.81    -0.04    5255.20    -0.06
 39   4.2267   9434.26    -0.05    6857.89     0.04

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.

13GG138    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        47.206    47.215    47.197
ecceobj         0.032     0.032     0.033
incobj         24.698    24.698    24.697
qmin           45.468    45.482    45.451
qmax           49.774    49.833    49.786
amean          47.540    47.549    47.530
amin           47.166    47.162    47.157
amax           47.923    47.934    47.907
emean           0.029     0.028     0.029
emin            0.018     0.018     0.019
emax            0.039     0.040     0.040
imean          25.248    25.248    25.248
imin           25.049    25.048    25.040
imax           25.446    25.452    25.447
excite_mean     0.428     0.427     0.428
fracstop        1.000     1.000     1.000
cjmean          2.905     2.905     2.905

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       181.5     181.7     181.3
kozaiamp        180.0     180.0     180.0