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: 09YG19 # Created Thu May 24 01:37:51 2012 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 2.00y # First observation: 2009/12/25 # Last observation: 2011/12/24 Preliminary a, adot, b, bdot, g, gdot: 0.000010 0.038790 -0.000004 0.002701 0.030361 0.000000 # Chi-squared of fit: 93.67 DOF: 30 RMS: 0.40 # Min/Max residuals: -1.15 0.76 # Exact a, adot, b, bdot, g, gdot: 1.796642E-05 3.899493E-02 -1.000011E-07 2.714499E-03 3.056817E-02 3.304138E-03 # Covariance matrix: 1.4419E-13 -1.2678E-12 3.8924E-15 -7.8116E-14 3.6687E-14 -1.5277E-11 -1.2678E-12 3.6412E-11 -1.1793E-13 2.3566E-12 -1.0337E-12 4.6083E-10 3.8924E-15 -1.1793E-13 1.0476E-13 -7.4678E-14 -3.5445E-16 -1.5110E-12 -7.8116E-14 2.3566E-12 -7.4678E-14 3.5670E-13 -5.9276E-14 3.0014E-11 3.6687E-14 -1.0337E-12 -3.5445E-16 -5.9276E-14 5.0888E-13 -1.1846E-11 -1.5277E-11 4.6083E-10 -1.5110E-12 3.0014E-11 -1.1846E-11 5.8685E-09 # lat0 lon0 xBary yBary zBary JD0 -3.293262 59.779645 -0.546816 -0.047135 -0.820012 2455190.546416 # Heliocentric elements and errors Epoch: 2455190.5000 = 2009/12/25 Mean Anomaly: 7.82201 +/- 0.125 Argument of Peri: 301.16700 +/- 0.342 Long of Asc Node: 99.15223 +/- 0.005 Inclination: 5.15813 +/- 0.001 Eccentricity: 0.41049223 +/- 0.0013 Semi-Major Axis: 55.86477854 +/- 0.0866 Time of Perihelion: 2451876.7392 +/- 52.5 Perihelion: 32.93272102 +/- 0.0884 Aphelion: 78.79683605 +/- 0.1419 Period (y) 417.5566 +/- 0.97 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 16.38266015 +/- 0.0004 Ecliptic Y 29.20345012 +/- 0.0007 Ecliptic Z -1.87935188 +/- 0.0000 Ecliptic XDOT -0.00285915 +/- 0.0000 Ecliptic YDOT 0.00203078 +/- 0.0000 Ecliptic ZDOT 0.00022565 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.53751655 +/- 0.0006 Geocenter to KBO 32.71376536 +/- 0.0008 # Hcoef: 5.97
The following table shows the complete astrometric record for 09YG19. 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 (09YG19) followed by the observatory code and reference code for the source of the astrometry.
2009 12 25.04565 03 53 17.470 +16 53 04.30 20.7R 09YG19 809 C~0Ctl 2009 12 25.10468 03 53 17.113 +16 53 03.33 21.2R 09YG19 809 C~0Ctl 2009 12 25.15681 03 53 16.903 +16 53 02.97 20.5R 09YG19 809 C~0Ctl 2009 12 26.03775 03 53 12.76 +16 52 53.5 09YG19 809 C~0Ctl 2009 12 26.09391 03 53 12.40 +16 52 53.5 20.8R 09YG19 809 C~0Ctl 2009 12 26.15003 03 53 12.14 +16 52 53.7 09YG19 809 C~0Ctl 2009 12 27.04073 03 53 07.96 +16 52 45.0 09YG19 809 C~0Ctl 2009 12 27.09505 03 53 07.71 +16 52 44.6 09YG19 809 C~0Ctl 2009 12 27.14941 03 53 07.43 +16 52 43.5 09YG19 809 C~0Ctl 2010 01 06.03993 03 52 25.39 +16 51 32.0 21.2R 09YG19 809 C~0Ctl 2010 01 06.08233 03 52 25.26 +16 51 31.6 21.0R 09YG19 809 C~0Ctl 2010 01 06.12461 03 52 25.13 +16 51 31.6 09YG19 809 C~0Ctl 2010 02 09.06950 03 51 19.60 +16 52 07.6 09YG19 807 C~0DxO 2010 02 10.04604 03 51 19.71 +16 52 16.4 09YG19 807 C~0DxO 2010 10 09.37451 04 09 11.927 +17 47 27.75 21.0R 09YG19 688 2010 10 09.44906 04 09 11.641 +17 47 26.63 09YG19 688 2011 12 24.24355 04 11 23.692 +18 04 07.26 21.1R 09YG19 688 2011 12 24.29271 04 11 23.425 +18 04 06.81 09YG19 688
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 0.45 0.00 0.31 2 0.0002 -5.21 -0.56 0.12 0.11 3 0.0003 -8.24 0.13 0.40 0.12 4 0.0027 -68.37 0.76 3.59 -1.15 5 0.0029 -73.42 -0.36 4.67 -0.37 6 0.0030 -77.03 -0.04 5.65 0.30 7 0.0055 -137.52 -0.10 9.70 -0.22 8 0.0056 -141.11 0.05 10.06 -0.17 9 0.0058 -145.27 -0.37 9.83 -0.70 10 0.0328 -750.31 -0.38 66.57 0.43 11 0.0330 -752.22 0.08 66.57 0.16 12 0.0331 -754.04 0.62 66.97 0.29 13 0.1260 -1665.98 0.16 300.63 -0.34 14 0.1287 -1662.58 -0.42 308.90 0.65 15 0.7894 14063.89 0.09 476.51 0.58 16 0.7896 14059.65 -0.16 476.18 0.42 17 1.9964 16109.41 0.05 1107.76 -0.23 18 1.9966 16105.56 -0.01 1108.03 -0.20
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.
09YG19 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.552 56.552 56.552 ecceobj 0.417 0.417 0.417 incobj 5.156 5.156 5.156 qmin 32.426 32.426 32.426 qmax 80.158 80.158 80.158 amean 55.463 55.463 55.463 amin 54.648 54.650 54.644 amax 56.552 56.552 56.552 emean 0.405 0.405 0.405 emin 0.393 0.393 0.393 emax 0.417 0.417 0.417 imean 3.514 3.528 3.523 imin 3.295 3.337 3.299 imax 3.786 3.793 3.806 excite_mean 0.409 0.409 0.409 fracstop 1.000 1.000 1.000 cjmean 3.020 3.020 3.020 libcent 0 180.2 179.8 179.1 libamp 0 123.7 127.2 122.4 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 187.1 190.9 182.6 kozaiamp 180.0 180.0 180.0