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: 16EM368 # Created Wed Nov 27 02:10:35 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 8.05d # First observation: 2016/03/04 # Last observation: 2016/03/12 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.042580 0.000001 -0.004609 0.032583 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 7.80 DOF: 25 RMS: 0.13 # Min/Max residuals: -0.24 0.33 # Exact a, adot, b, bdot, g, gdot: 1.854596E-05 3.650546E-02 -1.391894E-06 -3.719285E-03 3.156202E-02 5.495809E-03 # Covariance matrix: 4.5596E-12 7.3708E-09 -5.8386E-14 -1.0788E-09 1.2912E-09 -3.0046E-08 7.3708E-09 1.3057E-05 -8.9634E-11 -1.9066E-06 2.2756E-06 -6.3299E-05 -5.8386E-14 -8.9634E-11 3.2520E-13 -4.6915E-12 -1.6091E-11 -3.7443E-10 -1.0788E-09 -1.9066E-06 -4.6915E-12 2.7982E-07 -3.3231E-07 9.2634E-06 1.2912E-09 2.2756E-06 -1.6091E-11 -3.3231E-07 3.9685E-07 -1.0681E-05 -3.0046E-08 -6.3299E-05 -3.7443E-10 9.2634E-06 -1.0681E-05 9.1704E-04 # lat0 lon0 xBary yBary zBary JD0 -16.958076 140.690071 -0.386371 -0.265244 -0.870443 2457451.739619 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 38.47882 +/- 79.879 Argument of Peri: 194.29260 +/- 162.568 Long of Asc Node: 250.80004 +/- 1.155 Inclination: 17.42228 +/- 0.117 Eccentricity: 0.21181454 +/- 0.7104 Semi-Major Axis: 38.00606448 +/- 9.8439 Time of Perihelion: 2448303.1148 +/- 18653.7 Perihelion: 29.95582727 +/- 28.0931 Aphelion: 46.05630169 +/- 29.5182 Period (y) 234.3082 +/- 91.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -24.40163638 +/- 0.4680 Ecliptic Y 19.47452186 +/- 0.3832 Ecliptic Z -9.24128321 +/- 0.1845 Ecliptic XDOT -0.00228632 +/- 0.0019 Ecliptic YDOT -0.00222786 +/- 0.0017 Ecliptic ZDOT -0.00044764 +/- 0.0007 # Distances at JD0 (AU) Heliocenter to KBO 32.55914887 +/- 0.4223 Geocenter to KBO 31.68364924 +/- 0.6324 # Hcoef: 8.73
The following table shows the complete astrometric record for 16EM368. 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 (16EM368) followed by the observatory code and reference code for the source of the astrometry.
2016 03 04.23883 09 11 02.67 -01 31 19.7 23.7i 16EM368 T09 C~8Djj 2016 03 04.25395 09 11 02.61 -01 31 19.2 23.8i 16EM368 T09 C~8Djj 2016 03 04.30809 09 11 02.31 -01 31 17.0 23.8i 16EM368 T09 C~8Djj 2016 03 07.23850 09 10 47.64 -01 29 31.5 24.2g 16EM368 T09 C~8Djj 2016 03 07.26325 09 10 47.53 -01 29 30.5 24.4g 16EM368 T09 C~8Djj 2016 03 07.27172 09 10 47.47 -01 29 30.2 24.7g 16EM368 T09 C~8Djj 2016 03 09.23801 09 10 37.96 -01 28 18.2 23.6r 16EM368 T09 C~8Djj 2016 03 09.26092 09 10 37.87 -01 28 17.6 23.7r 16EM368 T09 C~8Djj 2016 03 09.28237 09 10 37.73 -01 28 16.6 24.0r 16EM368 T09 C~8Djj 2016 03 12.23749 09 10 23.99 -01 26 27.2 23.5z 16EM368 T09 C~8Djj 2016 03 12.24703 09 10 23.93 -01 26 27.1 23.9z 16EM368 T09 C~8Djj 2016 03 12.24973 09 10 23.91 -01 26 26.7 23.5z 16EM368 T09 C~8Djj 2016 03 12.27134 09 10 23.82 -01 26 26.1 23.4z 16EM368 T09 C~8Djj 2016 03 12.28216 09 10 23.77 -01 26 25.7 23.9z 16EM368 T09 C~8Djj 2016 03 12.29296 09 10 23.73 -01 26 25.1 23.2z 16EM368 T09 C~8Djj
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 -0.05 0.00 -0.10 2 0.0000 -1.01 0.22 0.20 -0.05 3 0.0002 -5.97 -0.13 0.91 0.12 4 0.0082 -247.74 -0.06 33.55 -0.07 5 0.0083 -249.62 0.11 34.00 0.09 6 0.0083 -250.56 -0.14 34.00 0.00 7 0.0137 -408.41 -0.05 58.60 0.08 8 0.0137 -409.88 0.33 58.75 -0.05 9 0.0138 -412.18 -0.24 59.06 -0.01 10 0.0219 -641.89 0.14 99.70 0.13 11 0.0219 -642.78 -0.01 99.51 -0.19 12 0.0219 -643.19 -0.21 99.80 0.06 13 0.0220 -644.66 0.00 99.96 -0.09 14 0.0220 -645.49 0.01 100.11 -0.09 15 0.0221 -646.25 0.09 100.49 0.15
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.