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: 04VA131 # Created Thu May 24 01:37:29 2012 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 2.04y # First observation: 2004/11/09 # Last observation: 2006/11/25 Preliminary a, adot, b, bdot, g, gdot: -0.000006 0.025508 0.000000 -0.000337 0.025057 0.000000 # Chi-squared of fit: 6.41 DOF: 18 RMS: 0.13 # Min/Max residuals: -0.27 0.29 # Exact a, adot, b, bdot, g, gdot: 1.667353E-05 2.551500E-02 -3.223969E-07 -3.366220E-04 2.487828E-02 9.742536E-05 # Covariance matrix: 3.6496E-13 -4.9285E-13 -5.9082E-16 4.1501E-15 -2.6985E-13 -6.0774E-12 -4.9285E-13 2.7862E-12 4.7960E-15 -3.3836E-14 4.7472E-13 4.9660E-11 -5.9082E-16 4.7960E-15 3.1192E-13 -1.7759E-13 1.0607E-15 9.0999E-14 4.1501E-15 -3.3836E-14 -1.7759E-13 1.6671E-13 -7.2276E-15 -6.4188E-13 -2.6985E-13 4.7472E-13 1.0607E-15 -7.2276E-15 3.0821E-12 1.0416E-11 -6.0774E-12 4.9660E-11 9.0999E-14 -6.4188E-13 1.0416E-11 9.4197E-10 # lat0 lon0 xBary yBary zBary JD0 -0.136304 37.388938 -0.166373 -0.002225 -0.978796 2453318.875253 # Heliocentric elements and errors Epoch: 2453310.5000 = 2004/11/01 Mean Anomaly: 3.33234 +/- 0.661 Argument of Peri: 185.92738 +/- 0.802 Long of Asc Node: 207.62976 +/- 0.014 Inclination: 0.76673 +/- 0.001 Eccentricity: 0.09349223 +/- 0.0003 Semi-Major Axis: 45.40834304 +/- 0.0153 Time of Perihelion: 2452275.9560 +/- 205.3 Perihelion: 41.16301593 +/- 0.0192 Aphelion: 49.65367016 +/- 0.0213 Period (y) 305.9931 +/- 0.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.60868458 +/- 0.0022 Ecliptic Y 25.13541659 +/- 0.0017 Ecliptic Z -0.09564086 +/- 0.0000 Ecliptic XDOT -0.00169776 +/- 0.0000 Ecliptic YDOT 0.00223026 +/- 0.0000 Ecliptic ZDOT -0.00003698 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.17189120 +/- 0.0021 Geocenter to KBO 40.19570913 +/- 0.0028 # Hcoef: 7.52
The following table shows the complete astrometric record for 04VA131. 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 (04VA131) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.37451 02 20 20.01 +13 50 54.7 23.7g 04VA131 568 C~0VDw 2004 11 09.40092 02 20 19.89 +13 50 54.1 23.7g 04VA131 568 C~0VDw 2004 11 09.42696 02 20 19.77 +13 50 53.3 23.8g 04VA131 568 C~0VDw 2004 11 10.28884 02 20 15.69 +13 50 32.7 23.8g 04VA131 568 C~0VDw 2005 10 25.49229 02 27 16.45 +14 24 05.0 23.3r 04VA131 568 C~0VDw 2005 10 25.53041 02 27 16.28 +14 24 04.2 23.3r 04VA131 568 C~0VDw 2005 10 25.56395 02 27 16.11 +14 24 03.4 23.4r 04VA131 568 C~0VDw 2006 10 23.23208 02 33 13.14 +14 51 32.8 04VA131 675 C~0VDw 2006 10 23.27265 02 33 12.96 +14 51 31.7 04VA131 675 C~0VDw 2006 10 23.31197 02 33 12.75 +14 51 31.3 04VA131 675 C~0VDw 2006 11 25.20987 02 30 35.99 +14 38 54.5 04VA131 695 C~0VDw 2006 11 25.30049 02 30 35.58 +14 38 52.8 04VA131 695 C~0VDw
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 -0.09 0.00 0.02 2 0.0001 -1.85 0.02 0.00 0.02 3 0.0001 -3.76 0.05 -0.19 -0.18 4 0.0025 -66.65 0.02 -0.32 -0.12 5 0.9586 6377.97 -0.15 -66.55 0.13 6 0.9587 6375.37 0.12 -66.52 0.16 7 0.9588 6372.77 0.04 -66.49 0.19 8 1.9517 11821.18 -0.08 -135.89 -0.03 9 1.9518 11818.35 0.09 -136.12 -0.27 10 1.9519 11815.32 -0.02 -135.55 0.29 11 2.0420 9412.45 -0.02 -140.83 -0.22 12 2.0422 9406.25 0.02 -140.57 0.02
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.
04VA131 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.992 46.039 45.944 ecceobj 0.105 0.106 0.104 incobj 0.763 0.763 0.763 qmin 40.719 40.727 40.708 qmax 50.516 50.601 50.428 amean 45.594 45.640 45.547 amin 45.576 45.622 45.529 amax 45.621 45.668 45.576 emean 0.100 0.101 0.099 emin 0.093 0.094 0.092 emax 0.107 0.108 0.107 imean 2.178 2.176 2.180 imin 1.637 1.638 1.634 imax 2.604 2.599 2.610 excite_mean 0.107 0.108 0.107 fracstop 1.000 1.000 1.000 cjmean 3.107 3.107 3.107 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 198.2 198.1 198.3 kozaiamp 180.0 179.9 180.0