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: 14MT69 # Created Thu Apr 25 01:15:50 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 40.38d # First observation: 2014/06/24 # Last observation: 2014/08/03 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.033314 -0.000000 -0.000874 0.025417 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 4.08 DOF: 17 RMS: 0.11 # Min/Max residuals: -0.18 0.20 # Exact a, adot, b, bdot, g, gdot: 1.475700E-05 2.377409E-02 -8.323812E-07 -9.506993E-04 2.388161E-02 3.179695E-03 # Covariance matrix: 8.6077E-12 1.2501E-08 4.2476E-14 1.0288E-10 1.9670E-09 -6.5261E-08 1.2501E-08 1.8970E-05 6.4503E-11 1.5619E-07 2.9819E-06 -9.9971E-05 4.2476E-14 6.4503E-11 3.6374E-13 -2.7934E-12 1.0094E-11 -3.6094E-10 1.0288E-10 1.5619E-07 -2.7934E-12 1.3390E-09 2.4468E-08 -8.6172E-07 1.9670E-09 2.9819E-06 1.0094E-11 2.4468E-08 4.7021E-07 -1.5036E-05 -6.5261E-08 -9.9971E-05 -3.6094E-10 -8.6172E-07 -1.5036E-05 8.3984E-04 # lat0 lon0 xBary yBary zBary JD0 2.153237 -79.544312 0.136306 0.037995 -1.008362 2456832.945308 # Heliocentric elements and errors Epoch: 2456830.5000 = 2014/06/22 Mean Anomaly: 46.92051 +/- 165.364 Argument of Peri: 75.06069 +/- 291.661 Long of Asc Node: 142.93493 +/- 5.641 Inclination: 3.10109 +/- 0.333 Eccentricity: 0.15997695 +/- 1.0459 Semi-Major Axis: 47.28556922 +/- 10.9168 Time of Perihelion: 2441351.1918 +/- 54290.3 Perihelion: 39.72096791 +/- 50.2994 Aphelion: 54.85017053 +/- 51.0519 Period (y) 325.1630 +/- 112.61 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 7.64130366 +/- 0.2179 Ecliptic Y -42.16408283 +/- 1.1815 Ecliptic Z 1.57326945 +/- 0.0452 Ecliptic XDOT 0.00274197 +/- 0.0004 Ecliptic YDOT 0.00012854 +/- 0.0033 Ecliptic ZDOT -0.00009509 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 42.87976888 +/- 1.1625 Geocenter to KBO 41.87321993 +/- 1.2023 # Hcoef: 11.46
The following table shows the complete astrometric record for 14MT69. 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 (14MT69) followed by the observatory code and reference code for the source of the astrometry.
2014 06 24.44453 18 44 46.035 -20 52 50.73 26.9R 14MT69 250 S~1lwg 2014 06 24.45068 18 44 45.998 -20 52 50.81 27.8R 14MT69 250 S~1lwg 2014 06 24.46297 18 44 45.919 -20 52 50.92 29.0R 14MT69 250 S~1lwg 2014 06 24.59571 18 44 45.266 -20 52 51.65 26.8R 14MT69 250 S~1lwg 2014 08 02.61786 18 41 40.228 -20 56 50.25 27.5R 14MT69 250 S~1lwg 2014 08 02.63016 18 41 40.162 -20 56 50.20 27.1R 14MT69 250 S~1lwg 2014 08 03.80002 18 41 35.393 -20 56 57.75 27.1R 14MT69 250 S~1lwg 2014 08 03.80616 18 41 35.362 -20 56 57.74 27.5R 14MT69 250 S~1lwg 2014 08 03.81231 18 41 35.328 -20 56 57.75 28.1R 14MT69 250 S~1lwg 2014 08 03.81845 18 41 35.297 -20 56 57.72 27.0R 14MT69 250 S~1lwg 2014 08 03.82460 18 41 35.266 -20 56 57.72 27.0R 14MT69 250 S~1lwg
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 0.20 0.00 0.04 2 0.0000 -0.52 0.11 -0.04 0.00 3 0.0001 -1.64 -0.16 -0.06 -0.02 4 0.0004 -10.82 -0.15 -0.08 -0.03 5 0.1073 -2614.24 0.10 -43.96 -0.04 6 0.1073 -2615.16 -0.11 -43.84 0.10 7 0.1105 -2682.35 0.19 -46.54 -0.12 8 0.1105 -2682.79 0.11 -46.50 -0.06 9 0.1105 -2683.26 -0.02 -46.47 -0.03 10 0.1105 -2683.69 -0.10 -46.41 0.05 11 0.1106 -2684.13 -0.18 -46.38 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.
14MT69 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0