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: 04PX107 # Created Sun Dec 22 02:08:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 21.09y # First observation: 2003/06/01 # Last observation: 2024/07/03 # Chi-squared of fit: 39.37 DOF: 44 RMS: 0.22 # Min/Max residuals: -0.70 0.42 # Exact a, adot, b, bdot, g, gdot: 1.515932E-05 2.455142E-02 -2.997387E-07 -8.273600E-04 2.456610E-02 9.675555E-04 # Covariance matrix: 2.2628E-13 -4.7856E-14 -3.2674E-15 1.5161E-15 5.8606E-14 -7.7919E-14 -4.7856E-14 2.2178E-14 1.5117E-15 -7.5386E-16 4.5610E-15 3.9818E-14 -3.2674E-15 1.5117E-15 1.1130E-13 -6.9840E-15 -3.4907E-16 2.8388E-15 1.5161E-15 -7.5386E-16 -6.9840E-15 8.9190E-16 -3.4945E-17 -1.4112E-15 5.8606E-14 4.5610E-15 -3.4907E-16 -3.4945E-17 1.2528E-13 5.8313E-15 -7.7919E-14 3.9818E-14 2.8388E-15 -1.4112E-15 5.8313E-15 7.4449E-14 # lat0 lon0 xBary yBary zBary JD0 -2.362615 -63.854472 0.726623 -0.029318 -0.711139 2452791.783903 # Heliocentric elements and errors Epoch: 2452792.5000 = 2003/06/02 Mean Anomaly: 25.39192 +/- 0.021 Argument of Peri: 201.67942 +/- 0.024 Long of Asc Node: 65.48676 +/- 0.001 Inclination: 3.04541 +/- 0.000 Eccentricity: 0.05039662 +/- 0.0000 Semi-Major Axis: 43.37231489 +/- 0.0027 Time of Perihelion: 2445433.6435 +/- 6.2 Perihelion: 41.18649679 +/- 0.0031 Aphelion: 45.55813299 +/- 0.0034 Period (y) 285.6453 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 17.58175049 +/- 0.0003 Ecliptic Y -37.46501204 +/- 0.0005 Ecliptic Z -1.67808449 +/- 0.0000 Ecliptic XDOT 0.00249613 +/- 0.0000 Ecliptic YDOT 0.00110727 +/- 0.0000 Ecliptic ZDOT -0.00009639 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.41931726 +/- 0.0005 Geocenter to KBO 40.70651334 +/- 0.0006 # Hcoef: 7.28
The following table shows the complete astrometric record for 04PX107. 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 (04PX107) followed by the observatory code and reference code for the source of the astrometry.
2003 06 01.28316 19 54 31.32 -23 14 26.4 22.7R 04PX107 807 Cr3910 2003 06 01.37101 19 54 31.02 -23 14 27.6 04PX107 807 Cr3910 2004 08 14.03084 19 54 49.13 -23 17 52.5 22.6R 04PX107 807 Cl2777 2004 08 14.12451 19 54 48.72 -23 17 53.7 04PX107 807 Cl2777 2004 08 15.10176 19 54 44.22 -23 18 04.0 04PX107 807 Cl2777 2004 09 11.02370 19 53 04.89 -23 21 37.6 23.5R 04PX107 304 Cl4404 2004 09 11.05126 19 53 04.80 -23 21 37.8 04PX107 304 Cl4404 2005 08 08.06321 20 01 22.09 -23 02 45.4 22.2R 04PX107 807 Co3996 2005 08 08.17944 20 01 21.53 -23 02 46.6 04PX107 807 Co3996 2005 08 09.06876 20 01 17.23 -23 02 58.3 04PX107 807 Co3997 2006 04 26.34087 20 13 13.07 -22 26 19.7 22.9R 04PX107 807 Cr3590 2006 04 27.35767 20 13 13.53 -22 26 22.4 04PX107 807 Cr3590 2006 04 28.33784 20 13 13.97 -22 26 25.6 04PX107 807 Cr3590 2007 05 12.84892 20 19 02.70 -22 11 30.1 23.7R 04PX107 250 S~06Ak 2007 05 12.85587 20 19 02.69 -22 11 30.1 04PX107 250 S~06Ak 2007 05 12.86281 20 19 02.68 -22 11 30.2 04PX107 250 S~06Ak 2007 05 12.86975 20 19 02.68 -22 11 30.2 04PX107 250 S~06Ak 2017 07 04.37440 21 14 22.36 -19 02 28.7 24.0R 04PX107 G37 C~2IX9 2017 07 04.42899 21 14 22.11 -19 02 29.7 04PX107 G37 C~2IX9 2021 09 12.128210 21 31 29.315 -17 49 38.84 23.8G 04PX107 G37 C~554U 2021 09 12.187290 21 31 29.082 -17 49 39.81 04PX107 G37 C~554U 2021 09 12.244620 21 31 28.832 -17 49 40.63 04PX107 G37 C~554U 2024 07 03.349710 21 52 54.319 -16 05 15.39 23.5G 04PX107 G37 C~88z4 2024 07 03.389980 21 52 54.194 -16 05 16.43 04PX107 G37 C~88z4 2024 07 03.427190 21 52 54.088 -16 05 16.84 04PX107 G37 C~88z4
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 0.15 0.00 -0.02 2 0.0002 0.00 -0.01 0.00 -0.19 3 1.2040 0.00 0.02 0.00 0.14 4 1.2042 0.00 0.39 0.00 -0.01 5 1.2069 0.00 -0.60 0.00 0.42 6 1.2806 0.00 0.11 0.00 0.03 7 1.2807 0.00 -0.09 0.00 -0.04 8 2.1869 0.00 -0.01 0.00 -0.00 9 2.1873 0.00 0.18 0.00 0.31 10 2.1897 0.00 -0.10 0.00 0.07 11 2.9023 0.00 0.29 0.00 -0.28 12 2.9051 0.00 -0.48 0.00 -0.34 13 2.9077 0.00 0.20 0.00 -0.70 14 3.9468 0.00 0.05 0.00 0.10 15 3.9468 0.00 0.00 0.00 0.15 16 3.9468 0.00 -0.05 0.00 0.10 17 3.9468 0.00 0.04 0.00 0.15 18 14.0920 0.00 0.26 0.00 0.15 19 14.0921 0.00 -0.28 0.00 0.23 20 18.2829 0.00 -0.05 0.00 -0.15 21 18.2831 0.00 0.09 0.00 -0.10 22 18.2833 0.00 -0.13 0.00 0.06 23 21.0898 0.00 -0.04 0.00 0.04 24 21.0900 0.00 -0.03 0.00 -0.22 25 21.0901 0.00 0.13 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.
04PX107 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.552 43.552 43.552 ecceobj 0.053 0.053 0.053 incobj 3.050 3.050 3.050 qmin 40.753 40.753 40.753 qmax 46.712 46.712 46.712 amean 43.641 43.641 43.641 amin 43.306 43.306 43.306 amax 43.985 43.988 43.984 emean 0.044 0.044 0.044 emin 0.026 0.026 0.026 emax 0.062 0.062 0.062 imean 1.450 1.450 1.450 imin 0.586 0.586 0.586 imax 2.159 2.159 2.159 excite_mean 0.051 0.051 0.051 fracstop 1.000 1.000 1.000 cjmean 3.094 3.094 3.094 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 192.6 192.4 192.6 kozaiamp 179.9 180.0 179.9