The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory.
# Object: 04PA112 # Created Fri May 2 02:36:55 2008 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 3.16y # First observation: 2004/08/13 # Last observation: 2007/10/11 Preliminary a, adot, b, bdot, g, gdot: -0.000067 0.026258 0.000054 -0.017065 0.028408 0.000000 # Chi-squared of fit: 64.01 DOF: 30 RMS: 0.33 # Min/Max residuals: -1.15 0.58 # Exact a, adot, b, bdot, g, gdot: 1.377405E-05 2.624183E-02 -9.450293E-06 -1.697913E-02 2.868985E-02 -2.051144E-03 # Covariance matrix: 2.1221E-13 -1.9588E-13 -3.7859E-14 1.2404E-13 9.0282E-14 -2.3694E-12 -1.9588E-13 5.6326E-13 1.3392E-13 -4.4089E-13 5.0050E-14 8.4041E-12 -3.7859E-14 1.3392E-13 1.7933E-13 -1.9981E-13 5.9932E-15 2.4034E-12 1.2404E-13 -4.4089E-13 -1.9981E-13 5.0687E-13 -2.1282E-14 -7.9096E-12 9.0282E-14 5.0050E-14 5.9932E-15 -2.1282E-14 2.7499E-13 3.9271E-13 -2.3694E-12 8.4041E-12 2.4034E-12 -7.9096E-12 3.9271E-13 1.5079E-10 # lat0 lon0 xBary yBary zBary JD0 -0.375923 -19.294485 0.347492 -0.006180 -0.955954 2453230.619293 # Heliocentric elements and errors Epoch: 2453230.5000 = 2004/08/13 Mean Anomaly: 320.47905 +/- 0.133 Argument of Peri: 228.78783 +/- 0.179 Long of Asc Node: 159.58584 +/- 0.000 Inclination: 33.00381 +/- 0.001 Eccentricity: 0.10624680 +/- 0.0003 Semi-Major Axis: 38.78677717 +/- 0.0031 Time of Perihelion: 2462916.5985 +/- 32.5 Perihelion: 34.66580631 +/- 0.0109 Aphelion: 42.90774802 +/- 0.0111 Period (y) 241.5649 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.68059415 +/- 0.0006 Ecliptic Y -12.15893503 +/- 0.0002 Ecliptic Z -0.22902035 +/- 0.0000 Ecliptic XDOT 0.00063074 +/- 0.0000 Ecliptic YDOT 0.00242477 +/- 0.0000 Ecliptic ZDOT -0.00161888 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.80886166 +/- 0.0006 Geocenter to KBO 34.85553637 +/- 0.0006 # Hcoef: 7.09
The following table shows the complete astrometric record for 04PA112. 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 (04PA112) followed by the observatory code and reference code for the source of the astrometry.
2004 08 13.11855 22 49 20.83 -07 54 01.5 21.8R 04PA112 807 Cl4405 2004 08 13.22759 22 49 20.30 -07 54 05.9 04PA112 807 Cl4405 2004 08 14.24449 22 49 15.47 -07 54 45.8 04PA112 807 Cl4405 2004 09 13.23667 22 46 44.19 -08 15 16.1 22.6R 04PA112 304 Cl4405 2004 09 13.28461 22 46 43.95 -08 15 18.1 04PA112 304 Cl4405 2004 10 11.17536 22 44 38.55 -08 32 33.0 22.3R 04PA112 695 Cl8416 2004 10 11.27689 22 44 38.12 -08 32 37.0 04PA112 695 Cl8416 2004 11 10.16302 22 43 24.07 -08 44 42.5 22.1R 04PA112 695 Cl9851 2004 11 11.13762 22 43 23.12 -08 44 57.4 04PA112 695 Cl9851 2005 07 09.30524 22 58 34.03 -07 53 50.5 22.7R 04PA112 304 Co3997 2005 07 09.34623 22 58 33.92 -07 53 52.6 04PA112 304 Co3997 2005 08 08.10770 22 56 51.54 -08 10 17.4 21.5R 04PA112 807 Co3997 2005 08 08.22422 22 56 51.02 -08 10 21.9 04PA112 807 Co3997 2005 08 09.11306 22 56 47.07 -08 10 56.6 04PA112 807 Co3997 2005 09 30.18840 22 52 30.76 -08 46 07.6 22.6R 04PA112 688 Co3997 2005 09 30.28308 22 52 30.34 -08 46 10.2 04PA112 688 Co3997 2007 10 11.16465 23 06 05.86 -09 30 58.5 22.9R 04PA112 688 Cw0504 2007 10 11.24160 23 06 05.58 -09 31 01.1 04PA112 688 Cw0504
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 0.14 0.00 0.02 2 0.0003 -8.95 0.03 -1.09 -0.04 3 0.0031 -90.48 0.24 -10.81 0.19 4 0.0852 -2635.73 -0.03 -299.87 0.30 5 0.0853 -2639.78 0.02 -300.37 0.23 6 0.1617 -4754.15 0.16 -557.61 0.24 7 0.1620 -4761.57 -0.70 -558.92 -0.21 8 0.2438 -6052.80 0.08 -818.52 0.20 9 0.2465 -6071.46 0.58 -827.05 -0.08 10 0.9040 7605.55 0.20 -3127.87 -0.28 11 0.9041 7603.23 -0.37 -3129.19 -1.15 12 0.9856 5819.08 0.09 -3454.92 0.00 13 0.9859 5810.22 0.14 -3456.12 0.00 14 0.9883 5742.69 -0.07 -3465.68 -0.12 15 1.1309 1419.91 -0.66 -3963.22 -0.15 16 1.1312 1413.16 -0.10 -3963.25 0.57 17 3.1596 11548.22 -0.18 -11115.17 0.31 18 3.1598 11543.37 0.43 -11115.95 -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.
04PA112 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 39.116 39.116 39.116 ecceobj 0.113 0.113 0.113 incobj 32.874 32.874 32.874 qmin 34.047 34.064 33.988 qmax 44.082 44.092 44.236 amean 38.944 38.947 38.971 amin 38.639 38.640 38.644 amax 39.282 39.285 39.324 emean 0.108 0.108 0.111 emin 0.093 0.093 0.097 emax 0.124 0.124 0.126 imean 32.174 32.173 32.157 imin 31.708 31.720 31.708 imax 32.573 32.594 32.574 fracstop 1.000 1.000 1.000 cjmean 2.687 2.687 2.687 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 181.5 181.0 179.0 kozaiamp 180.0 180.0 180.0