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: 04PS107 # Created Fri Nov 22 02:08:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 12 observations of 12 # Arc: 9.96y # First observation: 2004/08/12 # Last observation: 2014/07/29 # Chi-squared of fit: 12.48 DOF: 18 RMS: 0.18 # Min/Max residuals: -0.31 0.35 # Exact a, adot, b, bdot, g, gdot: 1.696483E-05 2.845513E-02 -8.059183E-06 -1.297584E-02 2.758116E-02 3.144613E-03 # Covariance matrix: 4.1674E-13 -4.4718E-13 -5.4585E-14 1.7895E-13 4.8868E-13 -1.3644E-12 -4.4718E-13 1.0242E-12 1.3307E-13 -4.4046E-13 -4.6617E-13 3.3564E-12 -5.4585E-14 1.3307E-13 1.7704E-13 -7.6386E-14 -5.4882E-14 4.4125E-13 1.7895E-13 -4.4046E-13 -7.6386E-14 2.0119E-13 1.7503E-13 -1.4618E-12 4.8868E-13 -4.6617E-13 -5.4882E-14 1.7503E-13 1.3329E-12 -1.3366E-12 -1.3644E-12 3.3564E-12 4.4125E-13 -1.4618E-12 -1.3366E-12 1.1139E-11 # lat0 lon0 xBary yBary zBary JD0 -0.723912 -38.332373 0.032839 -0.012752 -1.016704 2453229.665953 # Heliocentric elements and errors Epoch: 2453230.5000 = 2004/08/13 Mean Anomaly: 18.20458 +/- 0.013 Argument of Peri: 151.50085 +/- 0.019 Long of Asc Node: 140.07432 +/- 0.000 Inclination: 24.57218 +/- 0.000 Eccentricity: 0.24208489 +/- 0.0002 Semi-Major Axis: 47.87318672 +/- 0.0153 Time of Perihelion: 2447112.4206 +/- 5.4 Perihelion: 36.28381149 +/- 0.0160 Aphelion: 59.46256195 +/- 0.0220 Period (y) 331.2430 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.21187280 +/- 0.0012 Ecliptic Y -23.13997540 +/- 0.0010 Ecliptic Z -0.45837379 +/- 0.0000 Ecliptic XDOT 0.00198201 +/- 0.0000 Ecliptic YDOT 0.00202520 +/- 0.0000 Ecliptic ZDOT -0.00129178 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.26925312 +/- 0.0011 Geocenter to KBO 36.25660777 +/- 0.0015 # Hcoef: 7.62
The following table shows the complete astrometric record for 04PS107. 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 (04PS107) followed by the observatory code and reference code for the source of the astrometry.
2004 08 12.16521 21 37 07.96 -14 58 05.4 22.5R 04PS107 807 Cl2777 2004 08 13.10554 21 37 03.18 -14 58 36.7 04PS107 807 Cl2777 2004 08 13.21429 21 37 02.62 -14 58 40.3 04PS107 807 Cl2777 2004 09 11.04469 21 34 42.24 -15 13 44.6 23.1R 04PS107 304 Cl4404 2004 09 11.07260 21 34 42.10 -15 13 44.8 04PS107 304 Cl4404 2004 10 12.11737 21 32 58.74 -15 25 37.0 23.9R 04PS107 695 Cl8416 2004 10 12.22241 21 32 58.52 -15 25 38.4 04PS107 695 Cl8416 2005 08 08.09890 21 44 50.86 -15 05 52.9 22.3R 04PS107 807 Co3996 2005 08 08.21556 21 44 50.28 -15 05 57.2 04PS107 807 Co3996 2005 08 09.10368 21 44 45.83 -15 06 26.4 04PS107 807 Co3996 2014 07 29.37752 22 49 44.58 -15 48 41.0 23.3R 04PS107 G37 C~16aQ 2014 07 29.42552 22 49 44.41 -15 48 42.9 04PS107 G37 C~16aQ
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 -0.17 0.00 0.08
2 0.0026 0.00 -0.03 0.00 -0.23
3 0.0029 0.00 0.03 0.00 -0.23
4 0.0818 0.00 0.31 0.00 -0.31
5 0.0819 0.00 0.08 0.00 0.29
6 0.1669 0.00 -0.13 0.00 -0.13
7 0.1672 0.00 -0.06 0.00 0.18
8 0.9882 0.00 -0.10 0.00 0.23
9 0.9885 0.00 0.11 0.00 -0.15
10 0.9909 0.00 0.05 0.00 0.35
11 9.9609 0.00 -0.10 0.00 0.06
12 9.9610 0.00 0.11 0.00 -0.09
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.
04PS107 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 48.207 48.207 48.207 ecceobj 0.246 0.246 0.246 incobj 24.504 24.504 24.504 qmin 34.933 34.975 34.975 qmax 62.154 62.147 62.133 amean 48.213 48.216 48.214 amin 47.656 47.588 47.629 amax 48.804 48.807 48.804 emean 0.253 0.252 0.251 emin 0.232 0.230 0.230 emax 0.274 0.273 0.273 imean 22.936 22.966 22.973 imin 22.307 22.326 22.331 imax 23.595 23.578 23.594 excite_mean 0.465 0.464 0.464 fracstop 1.000 1.000 1.000 cjmean 2.880 2.880 2.881 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 189.5 187.7 186.9 kozaiamp 179.9 179.9 179.9