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: 10VL201 # Created Thu May 24 01:37:54 2012 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 51.25d # First observation: 2010/11/12 # Last observation: 2011/01/02 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.041503 0.000002 0.001064 0.030828 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 7.17 DOF: 11 RMS: 0.17 # Min/Max residuals: -0.26 0.34 # Exact a, adot, b, bdot, g, gdot: 1.539913E-05 3.153885E-02 2.022623E-06 1.596642E-03 2.927043E-02 5.985877E-03 # Covariance matrix: 5.9966E-12 9.1383E-09 4.4446E-13 -4.7786E-10 1.5099E-09 -6.8087E-08 9.1383E-09 1.5283E-05 7.5379E-10 -8.0460E-07 2.4820E-06 -1.2680E-04 4.4446E-13 7.5379E-10 2.8662E-13 -4.1594E-11 1.2184E-10 -6.4292E-09 -4.7786E-10 -8.0460E-07 -4.1594E-11 4.2452E-08 -1.3036E-07 6.7678E-06 1.5099E-09 2.4820E-06 1.2184E-10 -1.3036E-07 4.0540E-07 -1.9887E-05 -6.8087E-08 -1.2680E-04 -6.4292E-09 6.7678E-06 -1.9887E-05 1.2656E-03 # lat0 lon0 xBary yBary zBary JD0 -4.835782 45.750817 -0.066863 -0.083071 -0.982236 2455512.568036 # Heliocentric elements and errors Epoch: 2455510.5000 = 2010/11/10 Mean Anomaly: 56.86924 +/- 31.895 Argument of Peri: 222.44880 +/- 108.067 Long of Asc Node: 104.26821 +/- 5.283 Inclination: 5.51272 +/- 0.314 Eccentricity: 0.20393169 +/- 1.1020 Semi-Major Axis: 38.09850826 +/- 12.2853 Time of Perihelion: 2441941.8918 +/- 3852.2 Perihelion: 30.32901502 +/- 43.1068 Aphelion: 45.86800149 +/- 44.5119 Period (y) 235.1636 +/- 113.75 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.39799153 +/- 0.5168 Ecliptic Y 25.13719407 +/- 0.5304 Ecliptic Z -2.88001933 +/- 0.0627 Ecliptic XDOT -0.00171535 +/- 0.0025 Ecliptic YDOT 0.00247345 +/- 0.0022 Ecliptic ZDOT 0.00010161 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 35.14875570 +/- 0.5221 Geocenter to KBO 34.16416941 +/- 0.7432 # Hcoef: 6.05
The following table shows the complete astrometric record for 10VL201. 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 (10VL201) followed by the observatory code and reference code for the source of the astrometry.
2010 11 12.06727 02 58 51.431 +11 55 18.04 21.0R 10VL201 809 C~0Ppb 2010 11 12.17425 02 58 50.774 +11 55 15.81 21.1R 10VL201 809 C~0Ppb 2010 11 12.29433 02 58 50.072 +11 55 12.93 21.2R 10VL201 809 C~0Ppb 2010 11 13.21499 02 58 44.847 +11 54 51.98 21.2R 10VL201 809 C~0Ppb 2010 11 13.25737 02 58 44.604 +11 54 50.79 21.2R 10VL201 809 C~0Ppb 2010 11 13.30050 02 58 44.372 +11 54 49.75 21.3R 10VL201 809 C~0Ppb 2011 01 02.24029 02 54 54.28 +11 42 35.0 20.9R 10VL201 688 C~0RWM 2011 01 02.31579 02 54 54.06 +11 42 35.1 10VL201 688 C~0RWM
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 0.34 0.00 -0.24 2 0.0003 -9.88 -0.13 0.60 0.14 3 0.0006 -20.58 -0.26 0.76 0.07 4 0.0031 -100.05 -0.04 2.43 0.19 5 0.0033 -103.81 -0.07 2.30 -0.02 6 0.0034 -107.37 0.15 2.27 -0.14 7 0.1401 -3555.20 0.00 262.37 -0.21 8 0.1403 -3558.27 0.00 263.39 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.
10VL201 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0