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: 09KU36 # Created Wed Nov 27 02:09:01 2024 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 6.01d # First observation: 2009/05/20 # Last observation: 2009/05/26 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.029601 -0.000000 0.007821 0.027841 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 0.42 DOF: 9 RMS: 0.04 # Min/Max residuals: -0.07 0.09 # Exact a, adot, b, bdot, g, gdot: 1.600355E-05 2.766379E-02 3.762648E-06 7.086704E-03 2.732238E-02 6.161097E-04 # Covariance matrix: 1.2555E-11 1.9701E-08 4.2278E-12 7.4137E-09 5.6918E-09 -7.3124E-08 1.9701E-08 3.2821E-05 7.0260E-09 1.2321E-05 9.4583E-06 -1.2532E-04 4.2278E-12 7.0260E-09 2.1774E-12 2.5931E-09 2.0252E-09 -2.6075E-08 7.4137E-09 1.2321E-05 2.5931E-09 4.6305E-06 3.5511E-06 -4.7396E-05 5.6918E-09 9.4583E-06 2.0252E-09 3.5511E-06 2.7266E-06 -3.4117E-05 -7.3124E-08 -1.2532E-04 -2.6075E-08 -4.7396E-05 -3.4117E-05 7.2867E-03 # lat0 lon0 xBary yBary zBary JD0 14.617005 -174.602500 -0.814118 0.150827 -0.578440 2454971.886207 # Heliocentric elements and errors Epoch: 2454970.5000 = 2009/05/19 Mean Anomaly: 53.61196 +/- 337.703 Argument of Peri: 348.22138 +/- 318.670 Long of Asc Node: 142.02167 +/- 3.847 Inclination: 20.03643 +/- 1.229 Eccentricity: 0.04841492 +/- 2.5090 Semi-Major Axis: 38.22249697 +/- 7.8339 Time of Perihelion: 2442116.5623 +/- 426201.5 Perihelion: 36.37195797 +/- 96.1910 Aphelion: 40.07303598 +/- 96.2527 Period (y) 236.3125 +/- 72.65 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.77402623 +/- 2.1309 Ecliptic Y -4.20269937 +/- 0.2012 Ecliptic Z 9.23643343 +/- 0.5582 Ecliptic XDOT 0.00038462 +/- 0.0083 Ecliptic YDOT -0.00274446 +/- 0.0008 Ecliptic ZDOT 0.00070262 +/- 0.0021 # Distances at JD0 (AU) Heliocenter to KBO 37.18541834 +/- 2.0548 Geocenter to KBO 36.60003340 +/- 2.2119 # Hcoef: 8.97
The following table shows the complete astrometric record for 09KU36. 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 (09KU36) followed by the observatory code and reference code for the source of the astrometry.
2009 05 20.385441 12 43 13.702 +11 15 49.73 24.6i 09KU36 568 C~0aRU 2009 05 20.423302 12 43 13.581 +11 15 49.70 24.7i 09KU36 568 C~0aRU 2009 05 25.356769 12 42 59.698 +11 15 54.05 25.1g 09KU36 568 C~0aRU 2009 05 25.404399 12 42 59.567 +11 15 53.94 25.2g 09KU36 568 C~0aRU 2009 05 26.298641 12 42 57.275 +11 15 52.74 25.1g 09KU36 568 C~0aRU 2009 05 26.346592 12 42 57.145 +11 15 52.67 25.1g 09KU36 568 C~0aRU 2009 05 26.394204 12 42 57.031 +11 15 52.52 25.1g 09KU36 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 0.00 0.00 0.07
2 0.0001 -1.62 -0.00 -0.75 -0.07
3 0.0136 -190.22 0.00 -79.22 0.03
4 0.0137 -191.94 -0.01 -80.09 -0.03
5 0.0162 -222.31 -0.01 -94.80 0.00
6 0.0163 -224.03 -0.07 -95.64 -0.01
7 0.0165 -225.50 0.09 -96.45 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.
09KU36 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