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: 00QN251 # Created Fri Mar 19 01:37:23 2010 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 5.01y # First observation: 2000/08/26 # Last observation: 2005/08/31 Preliminary a, adot, b, bdot, g, gdot: -0.000090 0.030631 -0.000001 0.000124 0.028556 0.000000 # Chi-squared of fit: 59.10 DOF: 26 RMS: 0.34 # Min/Max residuals: -0.91 0.53 # Exact a, adot, b, bdot, g, gdot: 1.558780E-05 3.039820E-02 2.411305E-07 1.237273E-04 2.774400E-02 1.602228E-05 # Covariance matrix: 3.1036E-13 -2.2734E-13 4.1437E-16 -6.9057E-16 -8.7573E-14 -1.1023E-12 -2.2734E-13 4.1014E-13 -9.2667E-16 1.5096E-15 4.1933E-13 2.4601E-12 4.1437E-16 -9.2667E-16 2.1748E-13 -6.1265E-14 -9.7593E-16 -6.0073E-15 -6.9057E-16 1.5096E-15 -6.1265E-14 2.9802E-14 1.5171E-15 9.8078E-15 -8.7573E-14 4.1933E-13 -9.7593E-16 1.5171E-15 9.1031E-13 2.5807E-12 -1.1023E-12 2.4601E-12 -6.0073E-15 9.8078E-15 2.5807E-12 1.5951E-11 # lat0 lon0 xBary yBary zBary JD0 -0.261066 -4.620764 0.383515 -0.004398 -0.931619 2451782.815213 # Heliocentric elements and errors Epoch: 2451780.5000 = 2000/08/24 Mean Anomaly: 355.27045 +/- 0.049 Argument of Peri: 318.58298 +/- 0.074 Long of Asc Node: 42.37538 +/- 0.038 Inclination: 0.34468 +/- 0.000 Eccentricity: 0.12877019 +/- 0.0001 Semi-Major Axis: 42.42075736 +/- 0.0057 Time of Perihelion: 2453106.3163 +/- 13.8 Perihelion: 36.95822831 +/- 0.0064 Aphelion: 47.88328642 +/- 0.0076 Period (y) 276.2968 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.82967135 +/- 0.0012 Ecliptic Y -3.35610173 +/- 0.0001 Ecliptic Z -0.16424635 +/- 0.0000 Ecliptic XDOT 0.00023601 +/- 0.0000 Ecliptic YDOT 0.00299521 +/- 0.0000 Ecliptic ZDOT 0.00001235 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.98263224 +/- 0.0012 Geocenter to KBO 36.04382692 +/- 0.0012 # Hcoef: 7.20
The following table shows the complete astrometric record for 00QN251. 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 (00QN251) followed by the observatory code and reference code for the source of the astrometry.
2000 08 26.31447 23 43 27.05 -02 04 33.6 22.3R 00QN251 807 Cd1703 2000 08 26.38655 23 43 26.72 -02 04 35.8 00QN251 807 Cd1703 2000 08 28.30428 23 43 18.01 -02 05 32.5 22.6R 00QN251 807 Cd1703 2000 08 28.38010 23 43 17.65 -02 05 34.8 00QN251 807 Cd1703 2001 09 25.40268 23 47 26.84 -01 38 09.9 00QN251 568 Cd5768 2001 09 25.42990 23 47 26.70 -01 38 10.6 00QN251 568 Cd5768 2001 09 26.42502 23 47 21.79 -01 38 42.5 00QN251 568 Cd5768 2002 08 11.37667 23 57 14.33 -00 34 00.6 21.9R 00QN251 807 Ch1309 2002 08 12.31638 23 57 11.05 -00 34 22.5 00QN251 807 Ch1309 2002 09 09.39391 23 55 10.69 -00 47 28.2 22.7R 00QN251 662 Cg3073 2002 09 09.46550 23 55 10.34 -00 47 30.2 00QN251 662 Cg3073 2003 11 21.11699 23 56 35.16 -00 37 31.4 23.5R 00QN251 695 Cj3636 2003 11 22.09707 23 56 33.27 -00 37 43.5 00QN251 695 Cj3636 2005 08 31.41750 00 14 58.75 +01 22 46.1 22.3R 00QN251 250 S~06AN 2005 08 31.42421 00 14 58.72 +01 22 45.8 00QN251 250 S~06AN 2005 08 31.43093 00 14 58.69 +01 22 45.7 00QN251 250 S~06AN
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 0.36 0.00 -0.04 2 0.0002 -5.41 0.32 -0.06 -0.12 3 0.0054 -147.76 0.32 -0.30 -0.18 4 0.0057 -153.62 0.20 -0.28 -0.18 5 1.0817 3928.72 -0.64 26.30 0.03 6 1.0818 3926.51 -0.62 26.49 0.20 7 1.0845 3846.25 -0.91 26.46 0.04 8 1.9577 13562.46 0.12 54.17 0.38 9 1.9603 13508.38 0.23 53.66 0.06 10 2.0372 11532.27 -0.08 51.28 0.24 11 2.0374 11526.65 0.03 51.54 0.46 12 3.2356 12937.01 0.40 94.69 -0.42 13 3.2383 12906.07 0.53 94.87 -0.65 14 5.0133 31212.84 -0.05 129.42 0.09 15 5.0133 31212.30 -0.11 129.32 0.00 16 5.0133 31211.83 -0.08 129.41 0.08
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.
00QN251 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.502 42.519 42.485 ecceobj 0.130 0.131 0.130 incobj 0.344 0.344 0.344 qmin 36.196 36.561 36.781 qmax 48.765 48.354 48.186 amean 42.328 42.328 42.327 amin 42.177 42.199 42.169 amax 42.486 42.468 42.495 emean 0.131 0.126 0.109 emin 0.111 0.114 0.077 emax 0.148 0.139 0.134 imean 2.409 1.957 4.214 imin 1.094 0.864 1.468 imax 3.560 2.907 6.793 excite_mean 0.138 0.131 0.135 fracstop 1.000 1.000 1.000 cjmean 3.059 3.062 3.060 libcent 0 179.3 180.4 180.8 libamp 0 107.5 95.0 143.2 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 208.2 175.1 122.7 kozaiamp 180.0 179.9 179.9