Orbit Fit and Astrometric record for 09KT36

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: 09KT36    
# Created Fri Mar 29 01:13:19 2024
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:   6.10d
# First observation: 2009/05/20
#  Last observation: 2009/05/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.000000   0.020693  -0.000000  -0.008606   0.024081   0.000000
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# Chi-squared of fit:     0.76 DOF:     13 RMS:  0.05
# Min/Max residuals:    -0.08    0.08
# Exact a, adot, b, bdot, g, gdot:
  1.312836E-05  2.042030E-02 -6.127925E-06 -8.736884E-03  2.403700E-02  1.859396E-04
# Covariance matrix:
  1.6359E-11  2.3460E-08  5.5419E-12  8.4716E-09  6.8018E-09  6.1821E-09
  2.3460E-08  3.4427E-05  8.1243E-09  1.2419E-05  9.9714E-06  9.3537E-06
  5.5419E-12  8.1243E-09  2.2582E-12  2.9089E-09  2.3533E-09  2.2050E-09
  8.4716E-09  1.2419E-05  2.9089E-09  4.4832E-06  3.5974E-06  3.5444E-06
  6.8018E-09  9.9714E-06  2.3533E-09  3.5974E-06  2.8883E-06  2.5178E-06
  6.1821E-09  9.3537E-06  2.2050E-09  3.5444E-06  2.5178E-06 -6.8572E-04
#      lat0       lon0       xBary       yBary       zBary        JD0
   14.028822 -174.706515   -0.814177    0.144860   -0.579836  2454971.787368
# Heliocentric elements and errors
Epoch:              2454970.5000  =  2009/05/19
Mean Anomaly:          162.79399 +/-   113.464
Argument of Peri:      342.60604 +/-   342.606
Long of Asc Node:       35.29550 +/-    12.737
Inclination:            27.02554 +/-     9.322
Eccentricity:         0.09373367 +/-    0.0937
Semi-Major Axis:     38.69703376 +/-    3.7657
Time of Perihelion: 2503135.6135 +/- 4687761.0
Perihelion:          35.06981892 +/-    4.9803
Aphelion:            42.32424861 +/-    5.4882
Period (y)              240.7270 +/-     35.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -40.70671148 +/-    2.8416
Ecliptic Y           -4.59408755 +/-    0.2631
Ecliptic Z           10.08465428 +/-    0.7130
Ecliptic XDOT        -0.00004115 +/-   -0.0000
Ecliptic YDOT        -0.00233606 +/-    0.0004
Ecliptic ZDOT        -0.00096043 +/-   -0.0010
# Distances at JD0 (AU)
Heliocenter to KBO   42.18817668 +/-    2.7472
Geocenter to KBO     41.60253418 +/-    2.9414
# Hcoef:  8.78

The following table shows the complete astrometric record for 09KT36. 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 (09KT36) followed by the observatory code and reference code for the source of the astrometry.

2009 05  20.286602 12 41 53.129  +10 45 58.67  24.8i 09KT36    568  C~0aRU      
2009 05  20.313934 12 41 53.040  +10 45 58.50  25.0i 09KT36    568  C~0aRU      
2009 05  20.347447 12 41 52.930  +10 45 58.35  24.6i 09KT36    568  C~0aRU      
2009 05  20.417979 12 41 52.718  +10 45 58.11  24.6i 09KT36    568  C~0aRU      
2009 05  25.348865 12 41 38.842  +10 45 30.73  25.5g 09KT36    568  C~0aRU      
2009 05  25.396493 12 41 38.714  +10 45 30.52  25.7g 09KT36    568  C~0aRU      
2009 05  26.290737 12 41 36.391  +10 45 23.87  25.4g 09KT36    568  C~0aRU      
2009 05  26.338376 12 41 36.268  +10 45 23.46  25.9g 09KT36    568  C~0aRU      
2009 05  26.386293 12 41 36.138  +10 45 22.98  25.5g 09KT36    568  C~0aRU      

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     0.06       0.00     0.08
     2   0.0001     -1.13     0.02      -0.68    -0.01
     3   0.0002     -2.55    -0.06      -1.48    -0.07
     4   0.0004     -5.32    -0.02      -2.95    -0.00
     5   0.0139   -181.41     0.06    -110.43    -0.08
     6   0.0140   -183.05     0.02    -111.39     0.05
     7   0.0164   -211.70    -0.05    -131.27     0.05
     8   0.0166   -213.20     0.01    -132.37     0.04
     9   0.0167   -214.76    -0.00    -133.58    -0.07

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.

09KT36    quality flag:0

Type:      ERR2LARGE ERR2LARGE ERR2LARGE

axisobj         0.000     0.000     0.000
ecceobj        -1.000    -1.000    -1.000
incobj         -1.000    -1.000    -1.000
qmin            0.000     0.000     0.000
qmax            0.000     0.000     0.000
amean           0.000     0.000     0.000
amin            0.000     0.000     0.000
amax            0.000     0.000     0.000
emean           0.000     0.000     0.000
emin            0.000     0.000     0.000
emax            0.000     0.000     0.000
imean           0.000     0.000     0.000
imin            0.000     0.000     0.000
imax            0.000     0.000     0.000
excite_mean     0.000     0.000     0.000
fracstop        0.000     0.000     0.000
cjmean          0.000     0.000     0.000

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         0.0       0.0       0.0
kozaiamp          0.0       0.0       0.0