Orbit Fit and Astrometric record for 15GK54

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: 15GK54    
# Created Tue Feb 19 02:10:31 2019
# Orbit generated from Bernstein formalism
# Fitting   30 observations of   30
# Arc:   2.21y
# First observation: 2015/04/11
#  Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
   0.000108   0.035652  -0.000038   0.021132   0.033503   0.000000
# Chi-squared of fit:     2.38 DOF:   54 RMS:  0.05
# Min/Max residuals:    -0.14    0.12
# Exact a, adot, b, bdot, g, gdot:
  1.720646E-05  3.579556E-02  9.608396E-06  2.109750E-02  3.382552E-02 -9.421282E-03
# Covariance matrix:
  1.2941E-13 -9.4255E-14 -4.7841E-16  2.6696E-15  4.7666E-14  6.8067E-14
 -9.4255E-14  5.9428E-13 -7.1349E-14  3.9278E-13  2.4696E-13  1.1783E-11
 -4.7841E-16 -7.1349E-14  1.2770E-13 -1.6737E-13 -3.7496E-14 -1.9400E-12
  2.6696E-15  3.9278E-13 -1.6737E-13  5.1428E-13  2.0653E-13  1.0679E-11
  4.7666E-14  2.4696E-13 -3.7496E-14  2.0653E-13  2.7816E-13  6.1572E-12
  6.8067E-14  1.1783E-11 -1.9400E-12  1.0679E-11  6.1572E-12  3.2053E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.144475 -155.350955    0.062385   -0.002397   -0.997241  2457123.915228
# Heliocentric elements and errors
Epoch:              2457120.5000  =  2015/04/08
Mean Anomaly:          329.20591 +/-     0.021
Argument of Peri:       57.10622 +/-     0.052
Long of Asc Node:      204.76633 +/-     0.000
Inclination:            30.49571 +/-     0.001
Eccentricity:         0.31489521 +/-    0.0004
Semi-Major Axis:     39.68696092 +/-    0.0118
Time of Perihelion: 2464932.0111 +/-       4.0
Perihelion:          27.18972695 +/-    0.0185
Aphelion:            52.18419489 +/-    0.0227
Period (y)              250.0230 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -27.80493452 +/-    0.0004
Ecliptic Y          -12.68904983 +/-    0.0002
Ecliptic Z           -0.07423308 +/-    0.0000
Ecliptic XDOT         0.00189431 +/-    0.0000
Ecliptic YDOT        -0.00232299 +/-    0.0000
Ecliptic ZDOT         0.00170964 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.56357112 +/-    0.0004
Geocenter to KBO     29.56347449 +/-    0.0005
# Hcoef:  8.69

The following table shows the complete astrometric record for 15GK54. 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 (15GK54) followed by the observatory code and reference code for the source of the astrometry.

2015 04  11.41445  13 31 06.642  -09 41 01.43  23.2r 15GK54    568  C~2lV7      
2015 04  12.36711  13 31 00.993  -09 40 16.37  23.5r 15GK54    568  C~2lV7      
2015 04  12.40803  13 31 00.739  -09 40 14.42  23.2r 15GK54    568  C~2lV7      
2015 04  12.45503  13 31 00.451  -09 40 12.09  23.5r 15GK54    568  C~2lV7      
2015 04  14.46499  13 30 48.479  -09 38 36.63  23.1r 15GK54    568  C~2lV7      
2015 04  18.42564  13 30 24.887  -09 35 28.18  23.3r 15GK54    568  C~2lV7      
2015 04  18.47335  13 30 24.604  -09 35 25.87  23.4r 15GK54    568  C~2lV7      
2015 05  25.37637  13 27 09.687  -09 08 29.72  23.6r 15GK54    568  C~2lV7      
2015 05  25.43418  13 27 09.434  -09 08 27.52  23.6r 15GK54    568  C~2lV7      
2015 06  21.32593  13 25 52.684  -08 55 15.89  23.5r 15GK54    568  C~2lV7      
2015 06  22.28249  13 25 51.379  -08 54 56.20  23.7r 15GK54    568  C~2lV7      
2015 07  12.27649  13 25 48.560  -08 50 33.65  23.5r 15GK54    568  C~2lV7      
2015 07  15.26670  13 25 52.255  -08 50 19.34  23.4r 15GK54    568  C~2lV7      
2015 07  19.26636  13 25 58.867  -08 50 09.85  23.5r 15GK54    568  C~2lV7      
2016 02  04.61430  13 45 02.116  -09 57 57.63  23.7w 15GK54    568  C~2lV7      
2016 02  11.59752  13 44 55.181  -09 55 37.69  23.5w 15GK54    568  C~2lV7      
2016 03  11.60487  13 43 26.716  -09 40 20.19  23.4w 15GK54    568  C~2lV7      
2016 04  03.47362  13 41 27.114  -09 23 41.98  23.4w 15GK54    568  C~2lV7      
2016 04  03.47768  13 41 27.091  -09 23 41.80  23.5w 15GK54    568  C~2lV7      
2016 04  09.45477  13 40 51.942  -09 19 00.95  23.5w 15GK54    568  C~2lV7      
2016 04  09.45883  13 40 51.912  -09 19 00.76  23.4w 15GK54    568  C~2lV7      
2016 05  01.46556  13 38 41.098  -09 01 48.45  23.7w 15GK54    568  C~2lV7      
2016 05  02.33963  13 38 36.104  -09 01 08.71  23.6w 15GK54    568  C~2lV7      
2016 05  07.34298  13 38 07.964  -08 57 25.80  23.5w 15GK54    568  C~2lV7      
2016 05  29.32744  13 36 21.801  -08 42 58.41  23.6w 15GK54    568  C~2lV7      
2016 06  04.38987  13 35 59.209  -08 39 41.21  23.8w 15GK54    568  C~2lV7      
2016 06  27.32010  13 35 08.053  -08 30 45.11  23.7w 15GK54    568  C~2lV7      
2016 06  27.32513  13 35 08.047  -08 30 45.04  23.7w 15GK54    568  C~2lV7      
2016 07  07.31590  13 35 04.550  -08 28 44.97  23.5w 15GK54    568  C~2lV7      
2017 06  25.27772  13 44 43.641  -08 07 33.35  23.5w 15GK54    568  C~2lV7      

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    -0.10       0.00     0.05
  2   0.0026    -94.24     0.11      11.28    -0.02
  3   0.0027    -98.44     0.02      11.72    -0.04
  4   0.0028   -103.26    -0.05      12.32     0.03
  5   0.0084   -302.97    -0.01      36.17    -0.02
  6   0.0192   -696.70    -0.05      83.38    -0.01
  7   0.0193   -701.44     0.02      84.00     0.06
  8   0.1204  -3979.17     0.03     524.10    -0.00
  9   0.1205  -3983.46    -0.09     524.76    -0.00
 10   0.1941  -5333.30     0.03     839.97    -0.02
 11   0.1968  -5358.57     0.04     851.11     0.04
 12   0.2515  -5494.69    -0.07    1079.63     0.03
 13   0.2597  -5449.08     0.12    1113.21    -0.14
 14   0.2706  -5361.49    -0.02    1158.31    -0.01
 15   0.8192  11893.11    -0.01    3526.42     0.06
 16   0.8383  11746.98     0.01    3620.65     0.04
 17   0.9177  10193.21    -0.03    4009.54    -0.05
 18   0.9803   8179.25     0.02    4305.43     0.05
 19   0.9803   8178.86     0.04    4305.47     0.05
 20   0.9967   7591.46     0.07    4380.06     0.01
 21   0.9967   7590.97    -0.00    4380.08    -0.02
 22   1.0570   5409.22    -0.06    4643.02    -0.11
 23   1.0593   5325.79     0.01    4653.29     0.05
 24   1.0730   4856.07     0.03    4710.08     0.04
 25   1.1332   3073.96    -0.03    4947.38     0.07
 26   1.1498   2690.03     0.01    5009.31     0.04
 27   1.2126   1787.87    -0.02    5232.59    -0.06
 28   1.2126   1787.76    -0.02    5232.62    -0.08
 29   1.2400   1695.69     0.02    5325.61    -0.03
 30   2.2063   9264.96    -0.01    9627.26     0.00

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.

15GK54    quality flag:3

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

axisobj        39.334    39.353    39.315
ecceobj         0.312     0.312     0.311
incobj         30.607    30.606    30.607
qmin           26.135    26.249    26.022
qmax           53.394    53.272    53.674
amean          39.454    39.453    39.453
amin           38.978    38.981    38.970
amax           40.023    40.001    40.059
emean           0.271     0.268     0.277
emin            0.184     0.183     0.182
emax            0.336     0.333     0.340
imean          31.992    32.128    31.795
imin           30.270    30.411    30.102
imax           33.963    33.952    33.972
excite_mean     0.597     0.597     0.597
fracstop        1.000     1.000     1.000
cjmean          2.629     2.629     2.630

libcent 0       178.8     178.4     179.2
libamp  0       105.0     107.9      98.1
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        88.9      94.5      88.5
kozaiamp         57.3      58.8      55.2