Orbit Fit and Astrometric record for 09KX36

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: 09KX36    
# Created Wed Dec 25 02:09:01 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     16 observations of     16
# Arc:  10.80y
# First observation: 2009/05/27
#  Last observation: 2020/03/15
# Chi-squared of fit:     7.58 DOF:     26 RMS:  0.12
# Min/Max residuals:    -0.22    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.746525E-05  2.339016E-02  4.805056E-06  6.203407E-03  2.242291E-02 -8.828807E-03
# Covariance matrix:
  1.3994E-13 -3.8404E-14  1.8147E-15 -6.1118E-15 -2.3145E-14 -9.3785E-14
 -3.8404E-14  5.1479E-13 -4.8804E-14  1.0554E-13 -8.0017E-13  1.3472E-12
  1.8147E-15 -4.8804E-14  1.3330E-13 -2.5433E-14  7.8961E-14 -1.2788E-13
 -6.1118E-15  1.0554E-13 -2.5433E-14  2.7650E-14 -1.5815E-13  2.8352E-13
 -2.3145E-14 -8.0017E-13  7.8961E-14 -1.5815E-13  1.5996E-12 -1.9279E-12
 -9.3785E-14  1.3472E-12 -1.2788E-13  2.8352E-13 -1.9279E-12  3.6694E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.566768 -178.103731   -0.907402    0.096883   -0.434722  2454978.783318
# Heliocentric elements and errors
Epoch:              2454978.5000  =  2009/05/27
Mean Anomaly:          346.92862 +/-     0.012
Argument of Peri:       94.90163 +/-     0.024
Long of Asc Node:      143.26124 +/-     0.000
Inclination:            19.00925 +/-     0.000
Eccentricity:         0.57757024 +/-    0.0002
Semi-Major Axis:     90.80738364 +/-    0.0533
Time of Perihelion: 2466454.7296 +/-     268.2
Perihelion:          38.35974147 +/-    0.0279
Aphelion:           143.25502580 +/-    0.0856
Period (y)              865.3463 +/-      0.76
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -43.91715218 +/-    0.0025
Ecliptic Y           -2.36679630 +/-    0.0001
Ecliptic Z            9.70358762 +/-    0.0005
Ecliptic XDOT         0.00131570 +/-    0.0000
Ecliptic YDOT        -0.00280998 +/-    0.0000
Ecliptic ZDOT         0.00050464 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.03888697 +/-    0.0024
Geocenter to KBO     44.59757403 +/-    0.0025
# Hcoef:  7.66

The following table shows the complete astrometric record for 09KX36. 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 (09KX36) followed by the observatory code and reference code for the source of the astrometry.

2009 05  27.282552 12 27 10.014  +10 45 52.90        09KX36    568  C~0aRU      
2009 05  27.331508 12 27 09.938  +10 45 52.72  25.3g 09KX36    568  C~0aRU      
2009 05  27.379384 12 27 09.855  +10 45 52.76  25.4g 09KX36    568  C~0aRU      
2009 05  28.288162 12 27 08.389  +10 45 50.55  25.0g 09KX36    568  C~0aRU      
2009 05  28.335685 12 27 08.294  +10 45 50.43  25.2g 09KX36    568  C~0aRU      
2009 05  29.305318 12 27 06.784  +10 45 47.72  24.1i 09KX36    568  C~0aRU      
2009 06  22.280059 12 26 52.220  +10 41 45.17  24.4i 09KX36    568  C~0aRU      
2009 06  24.267956 12 26 53.030  +10 41 10.74  23.9i 09KX36    568  C~0aRU      
2009 06  24.306439 12 26 53.062  +10 41 10.08  24.4i 09KX36    568  C~0aRU      
2009 06  24.350443 12 26 53.076  +10 41 09.24  24.0i 09KX36    568  C~0aRU      
2010 03  16.532300 12 36 55.60   +10 10 51.8   23.1i 09KX36    T14  C~7udm      
2012 02  28.581828 12 49 33.94   +09 31 47.3   23.3i 09KX36    T14  C~7udm      
2016 02  16.555672 13 14 23.71   +08 17 15.6   23.6r 09KX36    T14  C~7udm      
2016 02  16.605580 13 14 23.60   +08 17 17.3         09KX36    T14  C~7udm      
2019 02  07.378042 13 33 40.43   +07 15 04.9   23.4z 09KX36    W84  C~7udm      
2020 03  15.368894 13 38 44.29   +07 16 32.9   22.9i 09KX36    W84  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    -0.22       0.00    -0.00
     2   0.0001      0.00    -0.08       0.00    -0.08
     3   0.0003      0.00    -0.07       0.00     0.06
     4   0.0028      0.00     0.17       0.00    -0.08
     5   0.0029      0.00    -0.06       0.00    -0.07
     6   0.0055      0.00     0.02       0.00     0.01
     7   0.0712      0.00     0.38       0.00     0.01
     8   0.0766      0.00    -0.19       0.00    -0.00
     9   0.0767      0.00     0.04       0.00     0.03
    10   0.0768      0.00    -0.06       0.00    -0.02
    11   0.8029      0.00    -0.03       0.00    -0.01
    12   2.7578      0.00     0.30       0.00     0.13
    13   6.7249      0.00    -0.11       0.00     0.03
    14   6.7250      0.00    -0.10       0.00     0.01
    15   9.7005      0.00    -0.04       0.00     0.08
    16  10.8011      0.00     0.07       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.

09KX36    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        89.650    89.648    89.651
ecceobj         0.572     0.572     0.572
incobj         19.001    19.001    19.001
qmin           37.193    37.514    37.481
qmax          147.811   147.844   148.068
amean          90.936    90.949    90.951
amin           89.374    89.480    89.458
amax           93.241    93.173    93.184
emean           0.576     0.574     0.575
emin            0.563     0.561     0.564
emax            0.590     0.587     0.589
imean          17.891    18.105    17.989
imin           16.950    17.594    17.445
imax           18.703    18.924    18.590
excite_mean     0.653     0.653     0.653
fracstop        1.000     1.000     1.000
cjmean          3.035     3.035     3.035

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       199.3     197.0     185.3
kozaiamp        116.9     104.8      96.8