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: 04VT75 # Created Thu May 24 01:37:29 2012 # Orbit generated from Bernstein formalism # Fitting 22 observations of 26 # Arc: 4.06y # First observation: 2004/11/09 # Last observation: 2008/11/30 Preliminary a, adot, b, bdot, g, gdot: 0.000055 0.028434 0.000022 0.006432 0.027962 0.000000 # Chi-squared of fit: 10.53 DOF: 38 RMS: 0.12 # Min/Max residuals: -0.37 0.37 # Exact a, adot, b, bdot, g, gdot: 1.577988E-05 2.900714E-02 3.292047E-06 6.555047E-03 2.809173E-02 5.673967E-03 # Covariance matrix: 1.7493E-13 -1.9715E-13 9.5379E-15 -3.3555E-14 -2.9901E-14 -1.2581E-12 -1.9715E-13 8.3003E-13 -4.6577E-14 1.6734E-13 -6.4156E-14 6.2850E-12 9.5379E-15 -4.6577E-14 1.3737E-13 -4.8686E-14 1.8194E-15 -3.6386E-13 -3.3555E-14 1.6734E-13 -4.8686E-14 5.7651E-14 -9.8015E-15 1.3053E-12 -2.9901E-14 -6.4156E-14 1.8194E-15 -9.8015E-15 1.9960E-13 -3.7807E-13 -1.2581E-12 6.2850E-12 -3.6386E-13 1.3053E-12 -3.7807E-13 4.9016E-11 # lat0 lon0 xBary yBary zBary JD0 -1.354607 20.098810 -0.446664 -0.020874 -0.886498 2453318.674463 # Heliocentric elements and errors Epoch: 2453310.5000 = 2004/11/01 Mean Anomaly: 59.54220 +/- 0.027 Argument of Peri: 271.28688 +/- 0.016 Long of Asc Node: 26.59985 +/- 0.000 Inclination: 12.86934 +/- 0.000 Eccentricity: 0.20958489 +/- 0.0003 Semi-Major Axis: 39.16592228 +/- 0.0075 Time of Perihelion: 2438502.9448 +/- 5.1 Perihelion: 30.95733675 +/- 0.0116 Aphelion: 47.37450782 +/- 0.0135 Period (y) 245.1155 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.09527938 +/- 0.0005 Ecliptic Y 12.95475979 +/- 0.0002 Ecliptic Z -0.84140617 +/- 0.0000 Ecliptic XDOT -0.00043931 +/- 0.0000 Ecliptic YDOT 0.00284289 +/- 0.0000 Ecliptic ZDOT 0.00062570 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.48317204 +/- 0.0005 Geocenter to KBO 35.59766072 +/- 0.0006 # Hcoef: 6.26
The following table shows the complete astrometric record for 04VT75. 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 (04VT75) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.17372 01 16 17.42 +06 36 05.7 21.4R 04VT75 695 Cm0643 2004 11 10.24478 01 16 12.46 +06 35 41.3 04VT75 695 Cm0643 2004 11 10.34498 01 16 11.99 +06 35 39.0 04VT75 695 Cm0643 2004 12 04.16565 01 14 41.51 +06 28 45.3 21.5R 04VT75 688 Cm1190 2004 12 04.32741 01 14 41.02 +06 28 42.9 04VT75 688 Cm1190 2004 12 10.11622 01 14 25.97 +06 27 46.7 21.3R 04VT75 688 Cm1784 2004 12 10.19032 01 14 25.80 +06 27 45.7 04VT75 688 Cm1784 2004 12 11.08716 01 14 23.73 +06 27 38.6 21.2R 04VT75 688 Cm1784 2004 12 11.16922 01 14 23.57 +06 27 37.9 04VT75 688 Cm1784 2005 07 11.37672 01 28 28.13 +08 06 50.3 21.1R 04VT75 304 Co4000 2005 07 11.42966 01 28 28.21 +08 06 50.8 04VT75 304 Co4000 2005 08 08.33465 01 28 27.50 +08 07 42.9 20.6R 04VT75 807 Co4000 2005 08 09.35786 01 28 26.00 +08 07 36.4 04VT75 807 Co4000 2005 08 10.35358 01 28 24.46 +08 07 29.3 04VT75 807 Co4000 2005 09 29.32484 01 25 25.13 +07 52 06.6 21.1R 04VT75 688 Co4000 2005 09 29.43407 01 25 24.57 +07 52 03.9 04VT75 688 Co4000 2006 09 24.38001 01 31 24.18 +08 51 01.3 22.8R 04VT75 688 Cs1062 2006 09 24.45618 01 31 23.77 +08 50 59.8 04VT75 688 Cs1062 2008 09 21.26629 01 42 36.42 +10 42 21.1 22.9R 04VT75 250 S~06Al 2008 09 21.27254 01 42 36.39 +10 42 21.0 04VT75 250 S~06Al 2008 09 21.31213 01 42 36.21 +10 42 20.1 04VT75 250 S~06Al 2008 09 21.31907 01 42 36.18 +10 42 20.0 04VT75 250 S~06Al 2008 10 22.25283 01 39 59.79 +10 29 30.5 22.9r 04VT75 695 C~0gMD 2008 10 22.28477 01 39 59.62 +10 29 29.6 22.7r 04VT75 695 C~0gMD 2008 11 30.17468 01 36 56.38 +10 14 25.4 20.2R 04VT75 688 C~02MY 2008 11 30.23587 01 36 56.15 +10 14 24.6 04VT75 688 C~02MY
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 0.11 0.00 0.08 2 0.0029 -77.66 0.01 5.19 0.06 3 0.0032 -85.01 -0.03 5.69 0.04 4 0.0684 -1489.96 ( 0.47) 130.00 ( 0.43) 5 0.0689 -1497.63 0.06 130.53 0.01 6 0.0847 -1726.60 0.12 163.00 0.37 7 0.0849 -1729.32 0.10 163.03 -0.05 8 0.0874 -1760.58 -0.37 168.08 0.01 9 0.0876 -1763.05 0.02 168.33 -0.24 10 0.6686 12130.46 ( 0.79) 998.29 ( -0.17) 11 0.6687 12131.75 ( 0.94) 998.32 ( -0.27) 12 0.7451 12141.26 0.00 1050.72 -0.16 13 0.7479 12118.08 -0.07 1052.91 -0.05 14 0.7507 12094.12 -0.02 1054.77 -0.22 15 0.8875 9270.44 -0.06 1184.70 -0.16 16 0.8878 9261.69 0.01 1185.28 0.02 17 1.8733 15551.83 ( 0.53) 2503.72 ( -0.30) 18 1.8735 15545.59 0.14 2504.56 0.27 19 3.8661 27372.51 0.03 5135.14 0.00 20 3.8661 27372.06 0.02 5135.21 0.05 21 3.8662 27369.21 -0.01 5135.32 0.02 22 3.8662 27368.75 0.03 5135.39 0.06 23 3.9509 24901.02 -0.06 5246.89 0.06 24 3.9510 24898.31 -0.05 5246.96 0.00 25 4.0575 22013.13 -0.04 5381.96 -0.22 26 4.0577 22009.64 0.05 5382.45 0.03
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.
04VT75 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.639 39.639 39.639 ecceobj 0.213 0.213 0.213 incobj 12.806 12.806 12.806 qmin 28.295 28.301 28.299 qmax 51.222 51.200 51.220 amean 39.455 39.455 39.455 amin 39.036 39.037 39.035 amax 39.974 39.979 39.975 emean 0.248 0.248 0.248 emin 0.203 0.203 0.203 emax 0.281 0.281 0.281 imean 9.787 9.784 9.786 imin 7.293 7.280 7.293 imax 12.818 12.818 12.818 excite_mean 0.302 0.302 0.302 fracstop 1.000 1.000 1.000 cjmean 2.947 2.947 2.947 libcent 0 180.5 180.4 180.4 libamp 0 66.5 66.2 66.3 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 262.9 262.9 262.9 kozaiamp 55.0 55.1 55.0