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: 07PS45 # Created Thu May 24 01:37:35 2012 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 3.15y # First observation: 2007/08/12 # Last observation: 2010/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.000006 0.027422 0.000002 -0.007311 0.026675 0.000000 # Chi-squared of fit: 10.71 DOF: 12 RMS: 0.19 # Min/Max residuals: -0.34 0.31 # Exact a, adot, b, bdot, g, gdot: 1.761385E-05 2.710648E-02 -2.913569E-06 -7.275424E-03 2.588548E-02 -2.714492E-04 # Covariance matrix: 8.2989E-13 8.3534E-11 8.4585E-14 -2.3458E-11 7.1431E-11 1.0170E-09 8.3534E-11 1.5702E-08 1.5506E-11 -4.4498E-09 1.2975E-08 1.9281E-07 8.4585E-14 1.5506E-11 3.8290E-13 -4.4822E-12 1.3084E-11 1.8922E-10 -2.3458E-11 -4.4498E-09 -4.4822E-12 1.2648E-09 -3.6433E-09 -5.4793E-08 7.1431E-11 1.2975E-08 1.3084E-11 -3.6433E-09 1.1037E-08 1.5794E-07 1.0170E-09 1.9281E-07 1.8922E-10 -5.4793E-08 1.5794E-07 2.3738E-06 # lat0 lon0 xBary yBary zBary JD0 -12.700114 -9.816488 0.517315 -0.190956 -0.847549 2454324.849534 # Heliocentric elements and errors Epoch: 2454320.5000 = 2007/08/08 Mean Anomaly: 354.29075 +/- 14.265 Argument of Peri: 228.34091 +/- 20.730 Long of Asc Node: 130.98217 +/- 0.017 Inclination: 19.51467 +/- 0.006 Eccentricity: 0.17621025 +/- 0.0107 Semi-Major Axis: 47.85402360 +/- 0.4562 Time of Perihelion: 2456238.0749 +/- 4791.1 Perihelion: 39.42165398 +/- 0.6361 Aphelion: 56.28639322 +/- 0.7425 Period (y) 331.0441 +/- 4.73 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.90168752 +/- 0.1507 Ecliptic Y -7.08726092 +/- 0.0261 Ecliptic Z -8.49318105 +/- 0.0345 Ecliptic XDOT 0.00030079 +/- 0.0002 Ecliptic YDOT 0.00285675 +/- 0.0000 Ecliptic ZDOT -0.00074447 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.48292426 +/- 0.1449 Geocenter to KBO 38.63170298 +/- 0.1568 # Hcoef: 5.49
The following table shows the complete astrometric record for 07PS45. 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 (07PS45) followed by the observatory code and reference code for the source of the astrometry.
2007 08 12.34878 23 44 29.48 -15 32 14.3 21.2R 07PS45 675 Cy5811 2007 08 12.39203 23 44 29.35 -15 32 15.6 21.8R 07PS45 675 Cy5811 2007 08 13.31642 23 44 26.00 -15 32 51.1 20.8R 07PS45 675 Cy5811 2007 08 13.34189 23 44 25.89 -15 32 52.0 21.3R 07PS45 675 Cy5811 2010 10 04.03735 00 00 25.776 -15 15 13.57 21.1R 07PS45 809 C~0NHr 2010 10 04.12061 00 00 25.386 -15 15 15.37 20.9R 07PS45 809 C~0NHr 2010 10 04.20380 00 00 25.009 -15 15 17.49 21.3R 07PS45 809 C~0NHr 2010 10 06.99656 00 00 12.134 -15 16 30.79 20.9R 07PS45 809 C~0NHr 2010 10 07.16412 00 00 11.355 -15 16 35.14 20.8R 07PS45 809 C~0NHr
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 -0.32 2 0.0001 -2.25 0.30 -0.42 -0.14 3 0.0026 -60.91 0.04 -13.16 0.14 4 0.0027 -62.73 -0.13 -13.34 0.31 5 3.1449 13024.19 -0.25 -4821.63 -0.34 6 3.1452 13018.29 -0.02 -4820.87 0.07 7 3.1454 13012.42 0.25 -4820.47 0.08 8 3.1530 12811.76 0.02 -4807.79 0.13 9 3.1535 12799.65 -0.01 -4806.95 0.06
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.
07PS45 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 48.175 51.234 47.433 ecceobj 0.182 0.280 0.174 incobj 19.522 19.504 19.519 qmin 39.016 36.473 38.713 qmax 57.057 65.523 55.721 amean 47.795 50.896 47.155 amin 47.563 50.742 47.110 amax 48.042 51.116 47.237 emean 0.159 0.269 0.170 emin 0.134 0.255 0.162 emax 0.188 0.283 0.180 imean 18.644 18.554 18.032 imin 18.068 17.914 17.642 imax 19.363 19.166 18.282 excite_mean 0.357 0.417 0.353 fracstop 1.000 1.000 1.000 cjmean 2.987 2.966 2.984 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 190.5 184.9 191.2 kozaiamp 180.0 180.0 180.0