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: 02PZ170 # Created Thu May 24 01:37:13 2012 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 29.76d # First observation: 2002/08/05 # Last observation: 2002/09/04 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.022328 0.000000 -0.000091 0.023870 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 14 iterations -- oscilliatory solution # Chi-squared of fit: 2.39 DOF: 11 RMS: 0.10 # Min/Max residuals: -0.26 0.19 # Exact a, adot, b, bdot, g, gdot: 1.562410E-05 2.433487E-02 3.354442E-07 -9.097880E-05 2.420119E-02 5.450925E-03 # Covariance matrix: 1.0969E-11 1.6950E-08 2.1559E-13 3.2826E-12 2.7842E-09 1.6277E-08 1.6950E-08 2.7346E-05 3.4708E-10 5.3379E-09 4.4823E-06 2.1416E-05 2.1559E-13 3.4708E-10 3.9137E-13 -4.8347E-12 5.6919E-11 2.8868E-10 3.2826E-12 5.3379E-09 -4.8347E-12 1.1926E-10 8.7298E-10 3.0096E-09 2.7842E-09 4.4823E-06 5.6919E-11 8.7298E-10 7.3506E-07 3.7280E-06 1.6277E-08 2.1416E-05 2.8868E-10 3.0096E-09 3.7280E-06 1.4673E-04 # lat0 lon0 xBary yBary zBary JD0 -1.281033 -31.126481 0.284751 -0.021923 -0.977619 2452491.956773 # Heliocentric elements and errors Epoch: 2452490.5000 = 2002/08/04 Mean Anomaly: 45.77857 +/- 58.112 Argument of Peri: 188.97299 +/- 74.332 Long of Asc Node: 68.79255 +/- 2.351 Inclination: 1.27191 +/- 0.010 Eccentricity: 0.24704862 +/- 0.5722 Semi-Major Axis: 48.71745671 +/- 25.4716 Time of Perihelion: 2436696.7562 +/- 15764.7 Perihelion: 36.68187611 +/- 33.8369 Aphelion: 60.75303732 +/- 42.2620 Period (y) 340.0440 +/- 266.68 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.05246294 +/- 1.2527 Ecliptic Y -22.09773764 +/- 0.7566 Ecliptic Z -0.92373157 +/- 0.0327 Ecliptic XDOT 0.00194286 +/- 0.0013 Ecliptic YDOT 0.00203547 +/- 0.0007 Ecliptic ZDOT -0.00002387 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.29590255 +/- 1.1386 Geocenter to KBO 41.32028829 +/- 1.4638 # Hcoef: 7.87
The following table shows the complete astrometric record for 02PZ170. 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 (02PZ170) followed by the observatory code and reference code for the source of the astrometry.
2002 08 05.45603 22 05 52.65 -13 03 59.6 23.5R 02PZ170 568 Cp2010 2002 08 05.51978 22 05 52.36 -13 04 00.9 23.7R 02PZ170 568 Cp2010 2002 08 05.58203 22 05 52.08 -13 04 02.5 24.1R 02PZ170 568 Cp2010 2002 08 09.44155 22 05 35.16 -13 05 37.2 02PZ170 568 Cp2010 2002 09 04.16945 22 03 38.78 -13 16 09.1 02PZ170 309 Cp2010 2002 09 04.17557 22 03 38.76 -13 16 09.2 02PZ170 309 Cp2010 2002 09 04.21223 22 03 38.59 -13 16 10.1 02PZ170 309 Cp2010 2002 09 04.21835 22 03 38.56 -13 16 10.2 02PZ170 309 Cp2010
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 0.06 0.00 -0.08 2 0.0002 -4.42 0.03 0.26 0.19 3 0.0003 -8.82 -0.07 0.19 0.12 4 0.0109 -273.54 -0.02 -2.15 -0.26 5 0.0814 -2086.98 -0.05 -2.31 0.00 6 0.0814 -2087.28 0.07 -2.30 0.00 7 0.0815 -2089.92 0.00 -2.28 -0.01 8 0.0815 -2090.37 -0.02 -2.23 0.04
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.
02PZ170 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