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: 04PZ111 # Created Thu Nov 21 02:08:39 2024 # Orbit generated from Bernstein formalism # Fitting 4 observations of 4 # Arc: 32.08d # First observation: 2004/08/12 # Last observation: 2004/09/13 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 0.75 DOF: 4 RMS: 0.08 # Min/Max residuals: -0.09 0.10 # Exact a, adot, b, bdot, g, gdot: 1.548133E-05 2.526769E-02 1.432533E-07 -2.422564E-04 2.623221E-02 0.000000E+00 # Covariance matrix: 4.3417E-11 6.9354E-08 -1.0769E-12 -2.1502E-09 1.1967E-08 0.0000E+00 6.9354E-08 1.1270E-04 -1.7497E-09 -3.4935E-06 1.9444E-05 0.0000E+00 -1.0769E-12 -1.7497E-09 7.5415E-13 4.5928E-11 -3.0188E-10 0.0000E+00 -2.1502E-09 -3.4935E-06 4.5928E-11 1.0849E-07 -6.0275E-07 0.0000E+00 1.1967E-08 1.9444E-05 -3.0188E-10 -6.0275E-07 3.3548E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 2.3753E-04 # lat0 lon0 xBary yBary zBary JD0 -5.207245 -42.912794 -0.048233 -0.092133 -1.011986 2453229.652463 # Heliocentric elements and errors Epoch: 2453220.5000 = 2004/08/03 Mean Anomaly: 178.17738 +/- 36.927 Argument of Peri: 85.49465 +/- 17.044 Long of Asc Node: 53.19336 +/- 5.903 Inclination: 5.10085 +/- 0.046 Eccentricity: 0.08480197 +/- 0.5807 Semi-Major Axis: 36.07161348 +/- 16.8568 Time of Perihelion: 2493186.6387 +/- 82816.1 Perihelion: 33.01266953 +/- 26.0149 Aphelion: 39.13055743 +/- 27.8058 Period (y) 216.6489 +/- 151.86 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.57766998 +/- 1.9412 Ecliptic Y -26.50374965 +/- 1.8050 Ecliptic Z -3.45980992 +/- 0.2416 Ecliptic XDOT 0.00179199 +/- 0.0013 Ecliptic YDOT 0.00192601 +/- 0.0013 Ecliptic ZDOT -0.00002507 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 39.12930170 +/- 1.8722 Geocenter to KBO 38.12107376 +/- 2.6617 # Hcoef: 6.98
The following table shows the complete astrometric record for 04PZ111. 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 (04PZ111) followed by the observatory code and reference code for the source of the astrometry.
2004 08 12.15172 21 24 52.67 -20 40 13.5 22.0R 04PZ111 807 Cl4405 2004 08 12.26301 21 24 52.08 -20 40 16.0 04PZ111 807 Cl4405 2004 09 13.07425 21 22 15.90 -20 50 44.5 23.1R 04PZ111 304 Cl4405 2004 09 13.23343 21 22 15.20 -20 50 47.0 04PZ111 304 Cl4405
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 -0.05 0.00 -0.06
2 0.0003 -8.65 0.06 0.20 0.06
3 0.0874 -2286.32 0.10 80.44 0.08
4 0.0878 -2296.43 -0.09 81.08 -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.
04PZ111 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