Orbit Fit and Astrometric record for 09KN30

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: 09KN30    
# Created Sun Oct 22 01:37:47 2017
# Orbit generated from Bernstein formalism
# Fitting   50 observations of   51
# Arc:   8.00y
# First observation: 2009/05/25
#  Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
   0.000084   0.045861   0.000010   0.003014   0.032675   0.000000
# Chi-squared of fit:    28.04 DOF:   94 RMS:  0.13
# Min/Max residuals:    -0.50    0.39
# Exact a, adot, b, bdot, g, gdot:
  2.222910E-05  4.647131E-02  1.791792E-06  3.061580E-03  3.332286E-02  5.384746E-03
# Covariance matrix:
  6.7547E-14 -4.0256E-14  4.0519E-16 -1.8366E-15  6.9080E-14 -8.7657E-14
 -4.0256E-14  9.2526E-14 -2.1585E-15  5.3843E-15  1.0176E-14  2.4728E-13
  4.0519E-16 -2.1585E-15  3.8157E-14 -9.8458E-15 -1.9165E-15 -6.6824E-15
 -1.8366E-15  5.3843E-15 -9.8458E-15  1.1564E-14  1.4306E-15  1.6427E-14
  6.9080E-14  1.0176E-14 -1.9165E-15  1.4306E-15  2.9698E-13  5.2288E-14
 -8.7657E-14  2.4728E-13 -6.6824E-15  1.6427E-14  5.2288E-14  7.5347E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.785216 -110.757086    0.091409   -0.048942   -1.005304  2454977.015284
# Heliocentric elements and errors
Epoch:              2454970.5000  =  2009/05/19
Mean Anomaly:            4.08894 +/-     0.001
Argument of Peri:      306.54653 +/-     0.003
Long of Asc Node:      284.79294 +/-     0.001
Inclination:             4.60966 +/-     0.000
Eccentricity:         0.56473304 +/-    0.0001
Semi-Major Axis:     70.04972941 +/-    0.0134
Time of Perihelion: 2452538.2061 +/-       0.4
Perihelion:          30.49033284 +/-    0.0079
Aphelion:           109.60912598 +/-    0.0217
Period (y)              586.2973 +/-      0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -11.06166169 +/-    0.0002
Ecliptic Y          -28.94142338 +/-    0.0005
Ecliptic Z           -1.45811725 +/-    0.0000
Ecliptic XDOT         0.00341427 +/-    0.0000
Ecliptic YDOT        -0.00177369 +/-    0.0000
Ecliptic ZDOT         0.00022965 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.01761519 +/-    0.0004
Geocenter to KBO     30.00942483 +/-    0.0005
# Hcoef:  7.93

The following table shows the complete astrometric record for 09KN30. 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 (09KN30) followed by the observatory code and reference code for the source of the astrometry.

2009 05  25.514518 16 28 21.53   -24 35 19.20  22.4R 09KN30    568  C~07fN      
2009 05  25.517041 16 28 21.52   -24 35 19.08  22.4R 09KN30    568  C~07fN      
2009 05  25.519597 16 28 21.50   -24 35 19.06  22.4R 09KN30    568  C~07fN      
2009 05  25.522212 16 28 21.48   -24 35 19.03  22.3R 09KN30    568  C~07fN      
2009 05  25.527423 16 28 21.45   -24 35 18.94  22.4R 09KN30    568  C~07fN      
2009 05  25.530014 16 28 21.43   -24 35 18.86  22.3R 09KN30    568  C~07fN      
2009 05  25.532619 16 28 21.41   -24 35 18.88  22.2R 09KN30    568  C~07fN      
2009 05  26.540061 16 28 14.86   -24 35 03.58  22.4R 09KN30    568  C~07fN      
2009 05  26.542838 16 28 14.83   -24 35 03.47  22.2R 09KN30    568  C~07fN      
2009 05  26.545535 16 28 14.81   -24 35 03.50  22.3R 09KN30    568  C~07fN      
2009 05  26.553535 16 28 14.77   -24 35 03.34  22.3R 09KN30    568  C~07fN      
2009 05  26.556286 16 28 14.74   -24 35 03.26  22.2R 09KN30    568  C~07fN      
2009 05  26.561672 16 28 14.71   -24 35 03.19  22.2R 09KN30    568  C~07fN      
2009 05  26.564366 16 28 14.69   -24 35 03.17  22.2R 09KN30    568  C~07fN      
2009 05  27.367988 16 28 09.49   -24 34 50.86  22.5R 09KN30    568  C~07fN      
2009 05  27.502480 16 28 08.59   -24 34 48.79  22.5R 09KN30    568  C~07fN      
2009 05  27.505047 16 28 08.57   -24 34 48.73  22.4R 09KN30    568  C~07fN      
2009 05  27.507654 16 28 08.56   -24 34 48.72  22.4R 09KN30    568  C~07fN      
2009 05  27.558348 16 28 08.22   -24 34 47.93  22.2R 09KN30    568  C~07fN      
2009 05  27.560926 16 28 08.20   -24 34 47.87  22.4R 09KN30    568  C~07fN      
2009 05  27.563465 16 28 08.18   -24 34 47.83  22.4R 09KN30    568  C~07fN      
2009 05  27.566071 16 28 08.17   -24 34 47.84  22.4R 09KN30    568  C~07fN      
2009 07  17.36181  16 23 23.43   -24 21 10.7   22.5i 09KN30    568  C~08CW      
2009 07  17.36550  16 23 23.42   -24 21 10.7   22.4i 09KN30    568  C~08CW      
2009 07  17.36714  16 23 23.40   -24 21 10.7   22.6i 09KN30    568  C~08CW      
2009 07  17.36970  16 23 23.40   -24 21 10.7   22.4i 09KN30    568  C~08CW      
2009 08  22.24076  16 22 27.29   -24 15 09.0   23.1R 09KN30    568  C~08eG      
2009 08  22.25207  16 22 27.29   -24 15 08.9   22.8R 09KN30    568  C~08eG      
2009 08  22.31259  16 22 27.34   -24 15 08.6   22.7R 09KN30    568  C~08eG      
2009 08  22.32352  16 22 27.34   -24 15 08.7   23.1R 09KN30    568  C~08eG      
2010 06  10.45292  16 38 18.65   -24 44 16.7         09KN30    568  C~0Oqh      
2010 06  10.47407  16 38 18.49   -24 44 16.5         09KN30    568  C~0Oqh      
2010 06  11.27346  16 38 13.41   -24 44 05.1   22.6  09KN30    568  C~0Oqh      
2010 06  11.27449  16 38 13.41   -24 44 05.2         09KN30    568  C~0Oqh      
2010 06  11.27556  16 38 13.40   -24 44 05.0         09KN30    568  C~0Oqh      
2010 06  11.27659  16 38 13.40   -24 44 05.1         09KN30    568  C~0Oqh      
2010 06  11.27762  16 38 13.39   -24 44 05.0         09KN30    568  C~0Oqh      
2010 06  11.41790  16 38 12.47   -24 44 03.0         09KN30    568  C~0Oqh      
2010 06  11.41896  16 38 12.46   -24 44 03.0         09KN30    568  C~0Oqh      
2010 06  11.42000  16 38 12.46   -24 44 03.0         09KN30    568  C~0Oqh      
2010 06  11.42103  16 38 12.46   -24 44 03.0         09KN30    568  C~0Oqh      
2010 06  11.42213  16 38 12.45   -24 44 02.9         09KN30    568  C~0Oqh      
2011 06  03.49205  16 50 37.77   -24 55 26.8   22.6r 09KN30    568  C~0Wc3      
2011 06  03.49318  16 50 37.76   -24 55 26.8         09KN30    568  C~0Wc3      
2011 06  03.49432  16 50 37.75   -24 55 26.8         09KN30    568  C~0Wc3      
2011 06  03.49535  16 50 37.74   -24 55 26.7         09KN30    568  C~0Wc3      
2011 06  03.49644  16 50 37.74   -24 55 26.8         09KN30    568  C~0Wc3      
2011 06  04.27578  16 50 32.68   -24 55 17.2         09KN30    568  C~0Wc3      
2011 06  04.27786  16 50 32.64   -24 55 17.0         09KN30    568  C~0Wc3      
2017 05  26.37361  17 57 08.57   -24 45 25.4   21.8R 09KN30    G37  C~2GiX      
2017 05  26.43267  17 57 08.23   -24 45 25.3         09KN30    G37  C~2GiX      

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    -0.04       0.00    -0.07
  2   0.0000     -0.15     0.04       0.10     0.02
  3   0.0000     -0.43     0.00       0.07    -0.00
  4   0.0000     -0.70    -0.03       0.06    -0.02
  5   0.0000     -1.12     0.03       0.09     0.00
  6   0.0000     -1.40    -0.02       0.12     0.03
  7   0.0000     -1.67    -0.05       0.06    -0.03
  8   0.0028    -92.30     0.05       1.32    -0.01
  9   0.0028    -92.72    -0.12       1.36     0.03
 10   0.0028    -92.99    -0.14       1.29    -0.05
 11   0.0028    -93.55     0.03       1.36     0.01
 12   0.0029    -93.97    -0.14       1.38     0.03
 13   0.0029    -94.38    -0.06       1.38     0.02
 14   0.0029    -94.66    -0.09       1.36    -0.00
 15   0.0051   -166.64     0.08       2.51     0.06
 16   0.0054   -179.09    -0.01       2.64     0.05
 17   0.0054   -179.36    -0.05       2.66     0.06
 18   0.0055   -179.50     0.05       2.65     0.05
 19   0.0056   -184.21    -0.00       2.71     0.03
 20   0.0056   -184.48    -0.05       2.73     0.04
 21   0.0056   -184.76    -0.09       2.72     0.03
 22   0.0056   -184.89     0.02       2.69    -0.00
 23   0.1447  -4153.61    -0.05     188.63     0.03
 24   0.1447  -4153.74     0.02     188.60    -0.02
 25   0.1447  -4154.01    -0.16     188.56    -0.07
 26   0.1447  -4154.01    -0.02     188.56    -0.09
 27   0.2429  -4970.59    -0.03     419.03     0.03
 28   0.2430  -4970.60    -0.14     419.13     0.05
 29   0.2431  -4969.98    -0.02     419.54     0.03
 30   0.2431  -4969.96    -0.10     419.44    -0.14
 31   1.0430   8135.05 (  -0.07)    657.70 (   0.54)
 32   1.0430   8132.86    -0.34     657.60     0.39
 33   1.0452   8062.63     0.18     659.39     0.01
 34   1.0452   8062.64     0.29     659.29    -0.09
 35   1.0452   8062.48     0.22     659.47     0.09
 36   1.0452   8062.49     0.33     659.37    -0.01
 37   1.0452   8062.35     0.27     659.45     0.06
 38   1.0456   8049.64     0.23     659.71     0.01
 39   1.0456   8049.50     0.19     659.69    -0.01
 40   1.0456   8049.50     0.28     659.69    -0.01
 41   1.0456   8049.50     0.37     659.69    -0.01
 42   1.0456   8049.35     0.32     659.78     0.07
 43   2.0232  18244.29    -0.10    1262.78    -0.10
 44   2.0232  18244.15    -0.13    1262.76    -0.12
 45   2.0232  18244.02    -0.16    1262.75    -0.14
 46   2.0232  18243.87    -0.22    1262.83    -0.06
 47   2.0232  18243.88    -0.10    1262.73    -0.16
 48   2.0254  18173.86    -0.12    1264.36    -0.14
 49   2.0254  18173.29    -0.50    1264.49    -0.01
 50   8.0024  75515.19     0.05    4969.80     0.05
 51   8.0025  75509.94    -0.01    4969.92     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.

09KN30    quality flag:3

Type:       7:2EEEEE  7:2EEEEE  7:2EEEEE

axisobj        68.512    68.551    68.473
ecceobj         0.555     0.556     0.555
incobj          4.620     4.620     4.620
qmin           29.809    29.807    29.801
qmax          111.521   111.545   111.357
amean          69.408    69.408    69.408
amin           68.342    68.331    68.446
amax           70.972    70.986    70.883
emean           0.561     0.561     0.561
emin            0.552     0.552     0.553
emax            0.571     0.571     0.571
imean           6.198     6.193     6.196
imin            6.119     6.099     6.129
imax            6.261     6.277     6.262
excite_mean     0.571     0.571     0.571
fracstop        1.000     1.000     1.000
cjmean          2.933     2.933     2.933

libcent 0       181.7     179.3     179.1
libamp  0        51.2      65.7      39.4
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       128.2     129.6     127.4
kozaiamp        180.0     180.0     179.9