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: 11KW48 # Created Fri Nov 1 01:09:03 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 33.80d # First observation: 2011/05/29 # Last observation: 2011/07/02 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.042126 -0.000001 0.001965 0.032581 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 1.92 DOF: 19 RMS: 0.07 # Min/Max residuals: -0.15 0.14 # Exact a, adot, b, bdot, g, gdot: 1.780452E-05 3.505534E-02 8.394062E-07 2.009697E-03 3.125122E-02 -9.793873E-03 # Covariance matrix: 3.5374E-12 7.0730E-09 -3.4400E-13 -4.7377E-11 1.3050E-09 4.8655E-08 7.0730E-09 1.6884E-05 -7.9606E-10 -1.1661E-07 3.0759E-06 1.0030E-04 -3.4400E-13 -7.9606E-10 3.0177E-13 2.4701E-12 -1.4556E-10 -4.9521E-09 -4.7377E-11 -1.1661E-07 2.4701E-12 8.7496E-10 -2.1166E-08 -6.6064E-07 1.3050E-09 3.0759E-06 -1.4556E-10 -2.1166E-08 5.6118E-07 1.8615E-05 4.8655E-08 1.0030E-04 -4.9521E-09 -6.6064E-07 1.8615E-05 7.3810E-04 # lat0 lon0 xBary yBary zBary JD0 1.912888 -82.164567 0.512476 0.029191 -0.875931 2455711.090136 # Heliocentric elements and errors Epoch: 2455710.5000 = 2011/05/29 Mean Anomaly: 311.45729 +/- 30.539 Argument of Peri: 111.78256 +/- 49.831 Long of Asc Node: 247.67184 +/- 3.197 Inclination: 3.80274 +/- 0.377 Eccentricity: 0.31275897 +/- 0.7613 Semi-Major Axis: 37.94131752 +/- 14.6939 Time of Perihelion: 2467220.8508 +/- 2779.7 Perihelion: 26.07483026 +/- 30.5996 Aphelion: 49.80780477 +/- 34.7340 Period (y) 233.7097 +/- 135.77 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 3.97620881 +/- 0.1045 Ecliptic Y -32.62017852 +/- 0.7595 Ecliptic Z 1.06819614 +/- 0.0256 Ecliptic XDOT 0.00292250 +/- 0.0006 Ecliptic YDOT 0.00127990 +/- 0.0023 Ecliptic ZDOT 0.00014737 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 32.87898001 +/- 0.7536 Geocenter to KBO 31.99875553 +/- 0.7670 # Hcoef: 8.77
The following table shows the complete astrometric record for 11KW48. 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 (11KW48) followed by the observatory code and reference code for the source of the astrometry.
2011 05 29.58937 18 33 38.18 -21 17 52.7 11KW48 266 C~11qc 2011 05 30.44467 18 33 33.61 -21 17 53.9 11KW48 266 C~11qc 2011 05 30.51214 18 33 33.26 -21 17 54.0 11KW48 266 C~11qc 2011 05 30.57950 18 33 32.88 -21 17 54.0 11KW48 266 C~11qc 2011 06 01.44474 18 33 22.72 -21 17 57.0 11KW48 266 C~11qc 2011 06 01.52338 18 33 22.29 -21 17 57.2 11KW48 266 C~11qc 2011 07 02.06068 18 30 14.70 -21 19 22.1 11KW48 269 C~11qc 2011 07 02.16839 18 30 14.00 -21 19 22.5 11KW48 269 C~11qc 2011 07 02.27962 18 30 13.27 -21 19 23.0 23.5R 11KW48 269 C~11qc 2011 07 02.28083 18 30 13.26 -21 19 23.0 11KW48 269 C~11qc 2011 07 02.33073 18 30 12.97 -21 19 23.4 11KW48 266 C~11qc 2011 07 02.39309 18 30 12.56 -21 19 23.7 11KW48 266 C~11qc
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 -0.01 0.00 0.04 2 0.0023 -63.83 -0.15 2.52 0.02 3 0.0025 -68.72 0.14 2.70 0.01 4 0.0027 -74.02 0.01 3.01 0.11 5 0.0078 -215.95 -0.08 8.24 -0.05 6 0.0080 -221.96 0.09 8.39 -0.13 7 0.0916 -2844.26 0.00 68.61 0.05 8 0.0919 -2854.05 0.03 68.73 0.08 9 0.0922 -2864.27 -0.05 68.77 -0.02 10 0.0922 -2864.41 -0.08 68.78 -0.01 11 0.0924 -2868.47 0.07 68.59 -0.02 12 0.0925 -2874.21 0.02 68.59 -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.
11KW48 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