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: 10BL4 # Created Thu May 24 01:37:51 2012 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 2.19y # First observation: 2010/01/18 # Last observation: 2012/03/29 Preliminary a, adot, b, bdot, g, gdot: 0.000236 0.339221 -0.000058 -0.017650 0.126551 0.000000 # Chi-squared of fit: 35.64 DOF: 34 RMS: 0.24 # Min/Max residuals: -0.53 0.44 # Exact a, adot, b, bdot, g, gdot: 4.432134E-05 3.430745E-01 -3.100117E-06 -1.564594E-02 1.297178E-01 2.615038E-02 # Covariance matrix: 1.7350E-13 -2.6652E-13 -4.5415E-15 1.5363E-15 9.0846E-14 -3.9431E-13 -2.6652E-13 1.7030E-12 3.5379E-15 -5.1006E-14 1.0948E-13 2.7198E-12 -4.5415E-15 3.5379E-15 1.2019E-13 -8.0421E-14 -1.3243E-14 1.5276E-14 1.5363E-15 -5.1006E-14 -8.0421E-14 1.4841E-13 -1.8472E-14 -7.9066E-14 9.0846E-14 1.0948E-13 -1.3243E-14 -1.8472E-14 3.4798E-13 -3.8152E-14 -3.9431E-13 2.7198E-12 1.5276E-14 -7.9066E-14 -3.8152E-14 4.9057E-12 # lat0 lon0 xBary yBary zBary JD0 -23.092252 129.182305 0.194689 -0.379927 -0.891181 2455214.566736 # Heliocentric elements and errors Epoch: 2455210.5000 = 2010/01/14 Mean Anomaly: 2.11391 +/- 0.000 Argument of Peri: 252.85207 +/- 0.001 Long of Asc Node: 227.05753 +/- 0.000 Inclination: 20.81690 +/- 0.000 Eccentricity: 0.53642230 +/- 0.0000 Semi-Major Axis: 18.49462850 +/- 0.0010 Time of Perihelion: 2455039.9107 +/- 0.0 Perihelion: 8.57369730 +/- 0.0006 Aphelion: 28.41555970 +/- 0.0015 Period (y) 79.5384 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -4.93786450 +/- 0.0000 Ecliptic Y 6.36768060 +/- 0.0000 Ecliptic Z -3.02365957 +/- 0.0000 Ecliptic XDOT -0.00584889 +/- 0.0000 Ecliptic YDOT -0.00427603 +/- 0.0000 Ecliptic ZDOT -0.00052031 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 8.60653120 +/- 0.0000 Geocenter to KBO 7.70904195 +/- 0.0000 # Hcoef: 11.97
The following table shows the complete astrometric record for 10BL4. 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 (10BL4) followed by the observatory code and reference code for the source of the astrometry.
2010 01 18.06597 08 22 36.520 -04 22 16.89 21.0R 10BL4 809 C~0DYC 2010 01 18.15020 08 22 35.004 -04 22 14.95 20.9R 10BL4 809 C~0DYC 2010 01 18.23414 08 22 33.462 -04 22 13.36 21.0R 10BL4 809 C~0DYC 2010 01 20.25673 08 21 57.16 -04 21 20.3 10BL4 807 C~0DYC 2010 01 21.19525 08 21 40.25 -04 20 51.40 20.8R 10BL4 807 C~0DYC 2010 01 21.22139 08 21 39.75 -04 20 50.30 21.2R 10BL4 807 C~0DYC 2010 01 21.25447 08 21 39.16 -04 20 49.15 10BL4 807 C~0DYC 2010 02 14.21441 08 14 45.09 -03 52 54.77 10BL4 807 C~0Dxq 2010 02 14.25966 08 14 44.37 -03 52 50.37 10BL4 807 C~0Dxq 2010 03 22.05325 08 09 00.065 -02 37 31.21 21.5R 10BL4 807 C~0Fnl 2010 03 22.10609 08 08 59.947 -02 37 24.01 21.2R 10BL4 807 C~0Fnl 2010 04 20.18850 08 10 56.40 -01 37 59.3 21.1R 10BL4 688 C~0GWt 2010 04 20.20755 08 10 56.59 -01 37 57.6 10BL4 688 C~0GWt 2011 01 10.45020 09 37 38.36 -09 41 57.0 21.1R 10BL4 695 C~0Ut9 2011 01 10.45873 09 37 38.24 -09 41 57.1 10BL4 695 C~0Ut9 2011 01 10.50754 09 37 37.61 -09 41 58.8 10BL4 695 C~0Ut9 2011 03 10.15660 09 22 23.30 -08 33 01.7 21.2R 10BL4 688 C~0Ut9 2011 03 10.21716 09 22 22.51 -08 32 53.1 10BL4 688 C~0Ut9 2012 03 29.22081 10 25 55.19 -12 06 36.9 21.7R 10BL4 688 C~0fFC 2012 03 29.27067 10 25 54.61 -12 06 28.6 10BL4 688 C~0fFC
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 -0.52 0.00 0.25 2 0.0002 -22.43 -0.27 -3.84 0.40 3 0.0005 -45.15 -0.27 -8.11 0.09 4 0.0060 -583.94 0.26 -93.68 0.21 5 0.0086 -835.97 0.10 -129.52 -0.35 6 0.0086 -843.48 -0.21 -130.35 -0.19 7 0.0087 -852.31 0.07 -131.46 -0.06 8 0.0743 -7272.44 0.10 -81.64 -0.16 9 0.0745 -7283.99 0.10 -80.13 -0.39 10 0.1724 -13438.93 -0.05 2979.94 0.11 11 0.1726 -13442.50 0.44 2986.47 0.29 12 0.2522 -12663.53 0.16 6888.06 0.13 13 0.2523 -12661.20 0.17 6890.43 -0.14 14 0.9785 72395.60 0.40 -3022.92 -0.13 15 0.9785 72393.68 0.18 -3023.41 0.02 16 0.9786 72383.87 0.13 -3027.25 -0.17 17 1.1392 56873.46 -0.53 -1864.05 0.13 18 1.1394 56859.10 -0.23 -1858.05 -0.16 19 2.1934 126075.74 0.01 -3436.17 -0.04 20 2.1936 126062.21 -0.01 -3428.27 0.16
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.
10BL4 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 18.677 18.677 18.677 ecceobj 0.538 0.538 0.538 incobj 20.773 20.773 20.773 qmin 8.438 8.448 8.454 qmax 31.480 32.125 28.792 amean 18.508 18.708 18.055 amin 17.787 17.267 16.522 amax 20.346 20.818 18.700 emean 0.530 0.495 0.524 emin 0.504 0.424 0.479 emax 0.547 0.543 0.541 imean 21.901 23.928 21.525 imin 21.260 21.093 21.173 imax 23.986 25.737 22.486 excite_mean 0.648 0.641 0.640 fracstop 0.003 0.009 0.002 cjmean 2.867 2.865 2.901 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 284.1 195.7 278.3 kozaiamp 29.9 178.1 24.6