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: 04PZ107
# Created Sat Apr 20 01:12:00 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 25
# Arc: 19.00y
# First observation: 2004/08/14
# Last observation: 2023/08/14
# Chi-squared of fit: 75.58 DOF: 40 RMS: 0.32
# Min/Max residuals: -1.24 0.64
# Exact a, adot, b, bdot, g, gdot:
1.649268E-05 2.811487E-02 3.481195E-06 5.397942E-03 2.651765E-02 -3.341793E-03
# Covariance matrix:
1.4551E-13 -3.4588E-14 7.5932E-15 -5.2657E-15 2.1223E-14 -4.4608E-14
-3.4588E-14 2.0721E-14 -5.3638E-15 3.7974E-15 2.7435E-15 3.2203E-14
7.5932E-15 -5.3638E-15 1.0548E-13 -7.7426E-15 -6.4943E-17 -8.6840E-15
-5.2657E-15 3.7974E-15 -7.7426E-15 1.5953E-15 1.2122E-15 6.1757E-15
2.1223E-14 2.7435E-15 -6.4943E-17 1.2122E-15 2.6619E-13 1.0775E-14
-4.4608E-14 3.2203E-14 -8.6840E-15 6.1757E-15 1.0775E-14 5.2383E-14
# lat0 lon0 xBary yBary zBary JD0
0.466455 -60.853622 -0.389071 0.007741 -0.939624 2453231.569683
# Heliocentric elements and errors
Epoch: 2453232.5000 = 2004/08/15
Mean Anomaly: 331.74463 +/- 0.009
Argument of Peri: 43.06939 +/- 0.012
Long of Asc Node: 297.35007 +/- 0.000
Inclination: 10.87991 +/- 0.000
Eccentricity: 0.18413926 +/- 0.0001
Semi-Major Axis: 45.59416691 +/- 0.0045
Time of Perihelion: 2462058.4365 +/- 15.5
Perihelion: 37.19849092 +/- 0.0044
Aphelion: 53.98984290 +/- 0.0059
Period (y) 307.8734 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 19.16000825 +/- 0.0004
Ecliptic Y -33.56422004 +/- 0.0006
Ecliptic Z 0.30713586 +/- 0.0000
Ecliptic XDOT 0.00236302 +/- 0.0000
Ecliptic YDOT 0.00171206 +/- 0.0000
Ecliptic ZDOT 0.00055460 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.64922163 +/- 0.0006
Geocenter to KBO 37.71084828 +/- 0.0007
# Hcoef: 7.74
The following table shows the complete astrometric record for 04PZ107. 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 (04PZ107) followed by the observatory code and reference code for the source of the astrometry.
2004 08 14.06894 20 04 45.39 -19 52 21.2 22.2R 04PZ107 807 Cl2777 2004 08 15.12201 20 04 40.29 -19 52 33.9 04PZ107 807 Cl2777 2004 08 15.19860 20 04 39.91 -19 52 34.5 04PZ107 807 Cl2777 2004 09 11.03573 20 02 52.24 -19 56 41.1 23.8R 04PZ107 304 Cl4404 2004 09 11.06278 20 02 52.13 -19 56 41.1 04PZ107 304 Cl4404 2005 08 08.07888 20 11 42.02 -19 12 24.1 22.4R 04PZ107 807 Co3997 2005 08 08.19553 20 11 41.41 -19 12 25.6 04PZ107 807 Co3997 2005 08 09.08415 20 11 36.85 -19 12 37.6 04PZ107 807 Co3997 2005 11 02.09941 20 08 44.98 -19 18 35.2 23.4R 04PZ107 695 Cp0715 2005 11 02.14205 20 08 45.07 -19 18 34.9 04PZ107 695 Cp0715 2005 11 03.10313 20 08 47.41 -19 18 25.8 04PZ107 695 Cp0715 2006 08 21.15642 20 17 03.73 -18 35 31.1 22.5R 04PZ107 807 Cs2682 2006 08 21.24866 20 17 03.28 -18 35 32.4 04PZ107 807 Cs2682 2006 08 22.15084 20 16 59.06 -18 35 44.0 04PZ107 807 Cs2682 2008 06 07.26148 20 35 41.29 -16 56 39.0 04PZ107 807 Cz1380 2008 06 07.36994 20 35 40.97 -16 56 39.6 04PZ107 807 Cz1380 2013 10 05.11772 20 58 46.82 -13 42 41.1 23.8R 04PZ107 695 C~0zda 2013 10 05.22490 20 58 46.62 -13 42 43.6 04PZ107 695 C~0zda 2020 08 12.245850 21 46 12.784 -07 43 08.21 23.9G 04PZ107 G37 C~43qt 2020 08 12.295160 21 46 12.495 -07 43 09.26 04PZ107 G37 C~43qt 2021 07 09.330530 21 55 00.637 -06 41 49.10 23.7G 04PZ107 G37 C~4uo0 2021 07 09.422010 21 55 00.247 -06 41 50.13 04PZ107 G37 C~4uo0 2023 08 14.220980 22 04 47.228 -05 07 46.94 23.7G 04PZ107 G37 C~77jx 2023 08 14.268660 22 04 46.988 -05 07 48.25 04PZ107 G37 C~77jx 2023 08 14.316450 22 04 46.751 -05 07 49.38 04PZ107 G37 C~77jx
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 0.07 0.00 -0.04
2 0.0029 0.00 0.26 0.00 -0.53
3 0.0031 0.00 0.20 0.00 -0.25
4 0.0766 0.00 0.23 0.00 -0.08
5 0.0766 0.00 -0.16 0.00 0.10
6 0.9829 0.00 0.12 0.00 -0.05
7 0.9832 0.00 0.11 0.00 0.01
8 0.9857 0.00 -0.16 0.00 -0.20
9 1.2184 0.00 ( -2.92) 0.00 ( -0.85)
10 1.2185 0.00 ( -2.93) 0.00 ( -0.92)
11 1.2212 0.00 -0.29 0.00 -0.10
12 2.0180 0.00 0.11 0.00 0.33
13 2.0183 0.00 -0.06 0.00 0.21
14 2.0208 0.00 -0.48 0.00 0.25
15 3.8144 0.00 -0.23 0.00 0.61
16 3.8147 0.00 -0.03 0.00 0.64
17 9.1418 0.00 -0.06 0.00 0.15
18 9.1421 0.00 0.38 0.00 -1.24
19 15.9950 0.00 0.57 0.00 -0.09
20 15.9951 0.00 0.05 0.00 -0.03
21 16.9015 0.00 0.06 0.00 0.06
22 16.9017 0.00 -0.68 0.00 -0.04
23 18.9984 0.00 -0.06 0.00 0.24
24 18.9985 0.00 -0.04 0.00 0.03
25 18.9986 0.00 0.04 0.00 0.00
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.
04PZ107 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.788 45.788 45.789 ecceobj 0.190 0.190 0.190 incobj 10.867 10.867 10.867 qmin 36.692 36.666 36.719 qmax 55.345 55.340 55.346 amean 45.783 45.783 45.783 amin 45.385 45.374 45.370 amax 46.274 46.272 46.273 emean 0.187 0.187 0.187 emin 0.178 0.178 0.177 emax 0.196 0.196 0.196 imean 12.413 12.411 12.418 imin 11.925 11.913 11.939 imax 12.842 12.842 12.843 excite_mean 0.285 0.285 0.285 fracstop 1.000 1.000 1.000 cjmean 3.023 3.023 3.023 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 180.8 179.8 181.9 kozaiamp 179.9 180.0 180.0