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: 04MT8 # Created Thu Apr 25 01:11:53 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 10.97y # First observation: 2004/06/24 # Last observation: 2015/06/12 # Chi-squared of fit: 17.91 DOF: 26 RMS: 0.19 # Min/Max residuals: -0.51 0.39 # Exact a, adot, b, bdot, g, gdot: 1.392387E-05 2.090037E-02 1.180120E-06 -7.728959E-04 2.277381E-02 2.617497E-04 # Covariance matrix: 3.0483E-13 -1.8347E-13 -5.5091E-15 5.9721E-15 2.7300E-14 -6.5501E-13 -1.8347E-13 2.1382E-13 7.0394E-15 -7.3947E-15 -2.7912E-13 8.1398E-13 -5.5091E-15 7.0394E-15 1.5831E-13 -1.8154E-14 -1.0219E-14 2.7366E-14 5.9721E-15 -7.3947E-15 -1.8154E-14 5.0393E-15 8.4423E-15 -2.8870E-14 2.7300E-14 -2.7912E-13 -1.0219E-14 8.4423E-15 2.7757E-12 -9.5864E-13 -6.5501E-13 8.1398E-13 2.7366E-14 -2.8870E-14 -9.5864E-13 3.1763E-12 # lat0 lon0 xBary yBary zBary JD0 -0.731073 -73.865623 0.223889 -0.012629 -0.993399 2453180.965493 # Heliocentric elements and errors Epoch: 2453180.5000 = 2004/06/24 Mean Anomaly: 166.69822 +/- 0.165 Argument of Peri: 30.81187 +/- 0.144 Long of Asc Node: 87.22627 +/- 0.002 Inclination: 2.23789 +/- 0.000 Eccentricity: 0.04482402 +/- 0.0002 Semi-Major Axis: 43.02043654 +/- 0.0125 Time of Perihelion: 2405456.2494 +/- 51.5 Perihelion: 41.09208768 +/- 0.0151 Aphelion: 44.94878540 +/- 0.0160 Period (y) 282.1762 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.25881791 +/- 0.0009 Ecliptic Y -43.19188918 +/- 0.0031 Ecliptic Z -0.56017196 +/- 0.0000 Ecliptic XDOT 0.00241971 +/- 0.0000 Ecliptic YDOT 0.00066217 +/- 0.0000 Ecliptic ZDOT -0.00009320 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.90134894 +/- 0.0030 Geocenter to KBO 43.91010134 +/- 0.0032 # Hcoef: 6.36
The following table shows the complete astrometric record for 04MT8. 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 (04MT8) followed by the observatory code and reference code for the source of the astrometry.
2004 06 24.46475 19 10 22.89 -23 11 24.8 04MT8 568 C~0VDq 2004 06 25.46094 19 10 18.16 -23 11 32.7 23.3g 04MT8 568 C~0VDq 2004 06 25.48385 19 10 18.05 -23 11 32.9 23.2g 04MT8 568 C~0VDq 2004 06 25.50238 19 10 17.99 -23 11 33.5 23.3g 04MT8 568 C~0VDq 2005 06 12.51114 19 16 28.80 -23 03 16.8 04MT8 568 C~0VDq 2005 06 12.55080 19 16 28.65 -23 03 17.4 23.3R 04MT8 568 C~0VDq 2005 06 13.49081 19 16 24.64 -23 03 25.2 04MT8 568 C~0VDq 2006 07 03.44757 19 20 04.82 -22 59 30.0 04MT8 568 C~0VDq 2006 07 03.46882 19 20 04.73 -22 59 30.4 04MT8 568 C~0VDq 2006 07 03.48992 19 20 04.62 -22 59 30.6 04MT8 568 C~0VDq 2007 05 16.40383 19 28 20.01 -22 44 49.8 04MT8 675 C~0VDq 2007 05 16.43916 19 28 19.93 -22 44 50.0 04MT8 675 C~0VDq 2015 06 12.36711 20 07 38.45 -21 25 18.5 21.8R 04MT8 695 C~1hTc 2015 06 12.39269 20 07 38.35 -21 25 19.0 04MT8 695 C~1hTc 2015 06 12.41872 20 07 38.26 -21 25 19.1 04MT8 695 C~1hTc 2015 06 12.43624 20 07 38.19 -21 25 19.3 04MT8 695 C~1hTc
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 0.18 0.00 -0.34
2 0.0027 0.00 -0.06 0.00 0.29
3 0.0028 0.00 -0.06 0.00 0.29
4 0.0028 0.00 0.39 0.00 -0.15
5 0.9666 0.00 -0.51 0.00 0.04
6 0.9667 0.00 -0.18 0.00 -0.22
7 0.9693 0.00 -0.03 0.00 0.13
8 2.0232 0.00 -0.12 0.00 0.20
9 2.0233 0.00 0.09 0.00 0.01
10 2.0233 0.00 -0.01 0.00 0.01
11 2.8910 0.00 0.14 0.00 -0.17
12 2.8911 0.00 0.20 0.00 -0.14
13 10.9648 0.00 0.12 0.00 0.05
14 10.9649 0.00 -0.02 0.00 -0.14
15 10.9650 0.00 0.01 0.00 0.07
16 10.9650 0.00 -0.11 0.00 0.07
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.
04MT8 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.026 43.026 43.026 ecceobj 0.044 0.044 0.044 incobj 2.242 2.242 2.242 qmin 39.890 39.891 39.889 qmax 46.604 46.614 46.605 amean 43.160 43.160 43.160 amin 42.821 42.822 42.821 amax 43.511 43.511 43.511 emean 0.052 0.052 0.052 emin 0.033 0.033 0.033 emax 0.072 0.072 0.072 imean 0.950 0.950 0.951 imin 0.282 0.283 0.282 imax 1.549 1.550 1.549 excite_mean 0.055 0.055 0.055 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 176.6 176.7 176.6 kozaiamp 179.9 179.9 180.0