Orbit Fit and Astrometric record for 09KW36

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: 09KW36    
# Created Fri Apr 19 01:13:11 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     26 observations of     26
# Arc:   9.86y
# First observation: 2009/05/27
#  Last observation: 2019/04/06
# Chi-squared of fit:    10.66 DOF:     46 RMS:  0.11
# Min/Max residuals:    -0.21    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.418934E-05  2.188342E-02 -6.659637E-06 -1.025780E-02  2.458163E-02 -4.181768E-04
# Covariance matrix:
  1.2666E-13 -3.9461E-14 -5.1005E-15  1.5244E-14 -1.0508E-13 -1.5199E-13
 -3.9461E-14  1.1359E-13  2.1343E-14 -4.3879E-14 -9.9142E-14  4.5722E-13
 -5.1005E-15  2.1343E-14  9.9710E-14 -2.0074E-14 -2.0737E-14  8.8062E-14
  1.5244E-14 -4.3879E-14 -2.0074E-14  2.1504E-14  1.6902E-14 -1.8828E-13
 -1.0508E-13 -9.9142E-14 -2.0737E-14  1.6902E-14  7.9261E-13 -2.1320E-13
 -1.5199E-13  4.5722E-13  8.8062E-14 -1.8828E-13 -2.1320E-13  1.9514E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   11.980357  178.970146   -0.928787    0.082774   -0.390176  2454978.759314
# Heliocentric elements and errors
Epoch:              2454978.5000  =  2009/05/27
Mean Anomaly:           36.90727 +/-     1.026
Argument of Peri:      116.73878 +/-     1.035
Long of Asc Node:       23.70231 +/-     0.000
Inclination:            27.87188 +/-     0.000
Eccentricity:         0.00387944 +/-    0.0001
Semi-Major Axis:     41.20635068 +/-    0.0064
Time of Perihelion: 2445073.5088 +/-     275.5
Perihelion:          41.04649319 +/-    0.0079
Aphelion:            41.36620816 +/-    0.0080
Period (y)              264.5175 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -40.20094663 +/-    0.0014
Ecliptic Y           -0.21080204 +/-    0.0000
Ecliptic Z            8.44413700 +/-    0.0003
Ecliptic XDOT        -0.00023048 +/-    0.0000
Ecliptic YDOT        -0.00242935 +/-    0.0000
Ecliptic ZDOT        -0.00112738 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.07875213 +/-    0.0014
Geocenter to KBO     40.68084777 +/-    0.0015
# Hcoef:  8.46

The following table shows the complete astrometric record for 09KW36. 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 (09KW36) followed by the observatory code and reference code for the source of the astrometry.

2009 05  27.258548 12 15 32.649  +11 23 14.53  25.4g 09KW36    568  C~0aRU      
2009 05  27.306288 12 15 32.544  +11 23 13.97  25.7g 09KW36    568  C~0aRU      
2009 05  27.355410 12 15 32.451  +11 23 13.42  25.3g 09KW36    568  C~0aRU      
2009 05  28.264426 12 15 30.701  +11 23 02.82  25.5g 09KW36    568  C~0aRU      
2009 05  28.311941 12 15 30.601  +11 23 02.20  25.3g 09KW36    568  C~0aRU      
2009 05  29.289294 12 15 28.784  +11 22 50.29  24.3i 09KW36    568  C~0aRU      
2009 06  22.263448 12 15 10.042  +11 14 50.03  24.5i 09KW36    568  C~0aRU      
2009 06  24.251963 12 15 10.779  +11 13 54.92        09KW36    568  C~0aRU      
2009 06  24.290428 12 15 10.772  +11 13 53.89  25.1i 09KW36    568  C~0aRU      
2009 06  24.322809 12 15 10.792  +11 13 52.85  24.8i 09KW36    568  C~0aRU      
2010 04  12.373311 12 21 54.90   +10 17 14.3   24.6g 09KW36    T14  C~7udm      
2010 04  13.318706 12 21 50.47   +10 17 30.2         09KW36    T14  C~7udm      
2010 04  13.376168 12 21 50.19   +10 17 31.1   24.7g 09KW36    T14  C~7udm      
2010 04  13.433852 12 21 49.92   +10 17 32.1         09KW36    T14  C~7udm      
2010 04  14.335679 12 21 45.76   +10 17 47.3   24.5g 09KW36    T14  C~7udm      
2010 04  14.410718 12 21 45.40   +10 17 48.4         09KW36    T14  C~7udm      
2012 04  13.479782 12 29 09.10   +08 09 51.4   24.0r 09KW36    T14  C~7udm      
2017 04  02.40315  12 48 14.81   +02 43 37.4   24.1r 09KW36    T09  C~7udm      
2017 04  02.42800  12 48 14.69   +02 43 38.1   24.2r 09KW36    T09  C~7udm      
2017 04  02.50262  12 48 14.33   +02 43 39.9   24.7r 09KW36    T09  C~7udm      
2017 04  02.50471  12 48 14.30   +02 43 39.8   24.8r 09KW36    T09  C~7udm      
2017 07  20.270297 12 44 13.45   +02 42 23.9   23.8r 09KW36    T14  C~7udm      
2019 04  06.38392  12 55 11.22   +00 35 44.0   24.4i 09KW36    T09  C~7udm      
2019 04  06.41638  12 55 11.06   +00 35 45.1   24.2i 09KW36    T09  C~7udm      
2019 04  06.43318  12 55 10.97   +00 35 45.2   24.5i 09KW36    T09  C~7udm      
2019 04  06.52853  12 55 10.50   +00 35 47.7   24.2i 09KW36    T09  C~7udm      

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    -0.02       0.00     0.02
     2   0.0001      0.00    -0.11       0.00     0.00
     3   0.0003      0.00     0.01       0.00     0.02
     4   0.0028      0.00     0.09       0.00     0.01
     5   0.0029      0.00     0.01       0.00    -0.04
     6   0.0056      0.00    -0.05       0.00     0.08
     7   0.0712      0.00     0.10       0.00     0.05
     8   0.0766      0.00     0.20       0.00    -0.06
     9   0.0767      0.00    -0.13       0.00    -0.00
    10   0.0768      0.00    -0.02       0.00    -0.12
    11   0.8764      0.00     0.19       0.00     0.13
    12   0.8790      0.00    -0.10       0.00    -0.09
    13   0.8792      0.00    -0.21       0.00    -0.16
    14   0.8793      0.00    -0.16       0.00    -0.13
    15   0.8818      0.00     0.07       0.00     0.16
    16   0.8820      0.00    -0.02       0.00     0.04
    17   2.8808      0.00     0.32       0.00     0.03
    18   7.8498      0.00    -0.03       0.00    -0.00
    19   7.8499      0.00     0.01       0.00     0.11
    20   7.8501      0.00     0.12       0.00     0.14
    21   7.8501      0.00    -0.17       0.00    -0.01
    22   8.1479      0.00    -0.07       0.00    -0.11
    23   9.8593      0.00     0.06       0.00    -0.21
    24   9.8594      0.00     0.06       0.00     0.14
    25   9.8595      0.00    -0.05       0.00    -0.15
    26   9.8597      0.00    -0.06       0.00     0.13

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.

09KW36    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.175    41.175    41.175
ecceobj         0.006     0.006     0.006
incobj         27.920    27.920    27.920
qmin           40.498    40.500    40.496
qmax           42.322    42.321    42.324
amean          41.346    41.346    41.346
amin           41.038    41.039    41.038
amax           41.647    41.647    41.647
emean           0.008     0.008     0.008
emin            0.000     0.000     0.000
emax            0.017     0.017     0.017
imean          27.491    27.491    27.491
imin           27.158    27.157    27.158
imax           27.817    27.817    27.816
excite_mean     0.462     0.462     0.462
fracstop        1.000     1.000     1.000
cjmean          2.807     2.807     2.807

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       178.6     178.7     178.6
kozaiamp        180.0     180.0     179.9