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: 09KY36 # Created Wed Nov 27 02:09:01 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 28.07d # First observation: 2009/05/27 # Last observation: 2009/06/24 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.025775 -0.000001 -0.009491 0.026178 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 1.20 DOF: 15 RMS: 0.06 # Min/Max residuals: -0.14 0.10 # Exact a, adot, b, bdot, g, gdot: 1.546012E-05 2.567992E-02 -5.702186E-06 -9.935681E-03 2.622911E-02 -6.505739E-04 # Covariance matrix: 4.7883E-13 9.3143E-11 4.8770E-14 7.7343E-11 6.4677E-11 1.8550E-09 9.3143E-11 4.3910E-08 1.5230E-11 3.8637E-08 2.8174E-08 -6.6542E-07 4.8770E-14 1.5230E-11 2.7750E-13 1.9780E-13 1.2920E-11 3.8806E-09 7.7343E-11 3.8637E-08 1.9780E-13 3.9279E-08 2.3231E-08 -2.7258E-06 6.4677E-11 2.8174E-08 1.2920E-11 2.3231E-08 1.8644E-08 2.5575E-07 1.8550E-09 -6.6542E-07 3.8806E-09 -2.7258E-06 2.5575E-07 9.1068E-04 # lat0 lon0 xBary yBary zBary JD0 12.758276 -176.415283 -0.893948 0.104172 -0.460171 2454978.790973 # Heliocentric elements and errors Epoch: 2454970.5000 = 2009/05/19 Mean Anomaly: 358.05976 +/- 48.728 Argument of Peri: 150.79615 +/- 175.772 Long of Asc Node: 33.98600 +/- 0.940 Inclination: 24.73044 +/- 0.641 Eccentricity: 0.07518715 +/- 0.0996 Semi-Major Axis: 41.72925483 +/- 2.7690 Time of Perihelion: 2455501.1550 +/- 210246.9 Perihelion: 38.59175118 +/- 4.8824 Aphelion: 44.86675847 +/- 5.1131 Period (y) 269.5685 +/- 26.83 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.52364105 +/- 0.1932 Ecliptic Y -3.25121445 +/- 0.0121 Ecliptic Z 8.41941320 +/- 0.0438 Ecliptic XDOT 0.00001000 +/- 0.0031 Ecliptic YDOT -0.00268132 +/- 0.0002 Ecliptic ZDOT -0.00102660 +/- 0.0007 # Distances at JD0 (AU) Heliocenter to KBO 38.59378903 +/- 0.1881 Geocenter to KBO 38.12557556 +/- 0.1985 # Hcoef: 9.02
The following table shows the complete astrometric record for 09KY36. 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 (09KY36) followed by the observatory code and reference code for the source of the astrometry.
2009 05 27.290207 12 33 36.740 +10 16 26.98 25.7g 09KY36 568 C~0aRU 2009 05 27.339430 12 33 36.619 +10 16 26.57 25.3g 09KY36 568 C~0aRU 2009 05 27.387392 12 33 36.498 +10 16 26.05 25.2g 09KY36 568 C~0aRU 2009 05 28.296092 12 33 34.342 +10 16 16.76 25.3g 09KY36 568 C~0aRU 2009 05 28.343589 12 33 34.226 +10 16 16.34 25.8g 09KY36 568 C~0aRU 2009 05 29.247447 12 33 32.136 +10 16 06.38 09KY36 568 C~0aRU 2009 06 22.285486 12 33 03.449 +10 08 22.36 09KY36 568 C~0aRU 2009 06 24.285257 12 33 03.465 +10 07 26.97 09KY36 568 C~0aRU 2009 06 24.311853 12 33 03.465 +10 07 26.13 24.6i 09KY36 568 C~0aRU 2009 06 24.356061 12 33 03.472 +10 07 24.93 24.6i 09KY36 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 0.00 0.00 -0.06
2 0.0001 -1.47 0.01 -1.10 0.03
3 0.0003 -2.89 0.02 -2.29 -0.01
4 0.0028 -28.26 0.07 -23.63 0.02
5 0.0029 -29.66 0.03 -24.71 0.10
6 0.0054 -53.87 -0.14 -46.26 -0.09
7 0.0712 -254.29 0.09 -641.66 0.09
8 0.0766 -231.75 -0.05 -692.26 0.00
9 0.0767 -231.41 -0.03 -693.03 -0.08
10 0.0768 -230.84 0.01 -694.08 -0.00
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.
09KY36 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