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: 09KZ36 # Created Wed Nov 27 02:09:01 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 28.06d # First observation: 2009/05/27 # Last observation: 2009/06/24 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.048011 -0.000001 0.010630 0.037078 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 1.54 DOF: 13 RMS: 0.07 # Min/Max residuals: -0.11 0.15 # Exact a, adot, b, bdot, g, gdot: 2.094733E-05 4.831583E-02 4.334346E-06 1.043908E-02 3.739899E-02 -2.063767E-03 # Covariance matrix: 4.3393E-13 8.4373E-11 3.4184E-14 6.1155E-11 5.5528E-11 3.9523E-09 8.4373E-11 6.0389E-08 1.9718E-11 4.4338E-08 3.6909E-08 1.3443E-06 3.4184E-14 1.9718E-11 3.1308E-13 5.2852E-12 1.3780E-11 2.9853E-09 6.1155E-11 4.4338E-08 5.2852E-12 3.6609E-08 2.5866E-08 -9.3938E-07 5.5528E-11 3.6909E-08 1.3780E-11 2.5866E-08 2.3037E-08 1.4679E-06 3.9523E-09 1.3443E-06 2.9853E-09 -9.3938E-07 1.4679E-06 9.9340E-04 # lat0 lon0 xBary yBary zBary JD0 12.952249 -175.330530 -0.884923 0.109476 -0.476112 2454978.798879 # Heliocentric elements and errors Epoch: 2454970.5000 = 2009/05/19 Mean Anomaly: 357.33386 +/- 137.323 Argument of Peri: 51.93652 +/- 213.833 Long of Asc Node: 140.03544 +/- 0.962 Inclination: 17.26611 +/- 0.256 Eccentricity: 0.20515312 +/- 0.1049 Semi-Major Axis: 34.23981690 +/- 3.0195 Time of Perihelion: 2455512.4709 +/- 27914.9 Perihelion: 27.21541173 +/- 4.3188 Aphelion: 41.26422208 +/- 5.1121 Period (y) 200.3574 +/- 26.50 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.38380999 +/- 0.1054 Ecliptic Y -3.04766207 +/- 0.0086 Ecliptic Z 5.99333254 +/- 0.0243 Ecliptic XDOT 0.00061030 +/- 0.0022 Ecliptic YDOT -0.00349522 +/- 0.0002 Ecliptic ZDOT 0.00071080 +/- 0.0005 # Distances at JD0 (AU) Heliocenter to KBO 27.22707676 +/- 0.1023 Geocenter to KBO 26.73868980 +/- 0.1085 # Hcoef: 10.21
The following table shows the complete astrometric record for 09KZ36. 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 (09KZ36) followed by the observatory code and reference code for the source of the astrometry.
2009 05 27.298113 12 37 51.781 +10 01 31.56 25.7g 09KZ36 568 C~0aRV 2009 05 27.347401 12 37 51.646 +10 01 31.37 24.8g 09KZ36 568 C~0aRV 2009 05 27.395341 12 37 51.505 +10 01 31.15 25.5g 09KZ36 568 C~0aRV 2009 05 28.304019 12 37 49.025 +10 01 27.59 25.8g 09KZ36 568 C~0aRV 2009 05 28.351584 12 37 48.876 +10 01 27.50 25.5g 09KZ36 568 C~0aRV 2009 06 22.257648 12 37 20.858 +09 54 39.44 24.5i 09KZ36 568 C~0aRV 2009 06 22.290599 12 37 20.860 +09 54 38.42 24.0i 09KZ36 568 C~0aRV 2009 06 24.317537 12 37 22.147 +09 53 40.03 24.1i 09KZ36 568 C~0aRV 2009 06 24.361856 12 37 22.187 +09 53 38.58 23.5i 09KZ36 568 C~0aRV
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 -0.11 0.00 0.02
2 0.0001 -1.75 0.03 -0.98 0.05
3 0.0003 -3.57 0.04 -2.02 -0.00
4 0.0028 -35.67 0.15 -20.02 -0.05
5 0.0029 -37.64 -0.11 -20.99 -0.03
6 0.0711 -252.37 0.04 -561.12 0.09
7 0.0712 -251.93 -0.06 -562.05 -0.06
8 0.0767 -211.03 -0.08 -607.85 0.01
9 0.0768 -209.91 0.10 -608.94 -0.04
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.
09KZ36 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