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: 16GH370 # Created Wed Nov 27 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 62.95d # First observation: 2016/04/02 # Last observation: 2016/06/04 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.021893 -0.000000 0.000096 0.021242 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 11.31 DOF: 23 RMS: 0.16 # Min/Max residuals: -0.35 0.30 # Exact a, adot, b, bdot, g, gdot: 1.413496E-05 1.826739E-02 -2.695089E-08 5.354939E-06 2.065914E-02 -5.101663E-03 # Covariance matrix: 4.8866E-13 3.2979E-10 -2.3339E-14 8.2705E-12 5.4714E-11 -6.2990E-09 3.2979E-10 3.9474E-07 -2.8493E-11 9.9278E-09 6.2776E-08 -8.3757E-06 -2.3339E-14 -2.8493E-11 1.5674E-13 -1.6718E-12 -4.5115E-12 6.1136E-10 8.2705E-12 9.9278E-09 -1.6718E-12 2.6835E-10 1.5771E-09 -2.1127E-07 5.4714E-11 6.2776E-08 -4.5115E-12 1.5771E-09 1.0062E-08 -1.3053E-06 -6.2990E-09 -8.3757E-06 6.1136E-10 -2.1127E-07 -1.3053E-06 1.8682E-04 # lat0 lon0 xBary yBary zBary JD0 1.631520 -176.509356 -0.160610 0.028116 -0.982171 2457480.887349 # Heliocentric elements and errors Epoch: 2457480.5000 = 2016/04/02 Mean Anomaly: 297.95145 +/- 72.280 Argument of Peri: 182.94699 +/- 21.350 Long of Asc Node: 93.76438 +/- 1.044 Inclination: 1.59896 +/- 0.000 Eccentricity: 0.27122696 +/- 0.7365 Semi-Major Axis: 52.54830074 +/- 25.4768 Time of Perihelion: 2481461.4043 +/- 21822.5 Perihelion: 38.29578485 +/- 42.9255 Aphelion: 66.80081663 +/- 50.4656 Period (y) 380.9309 +/- 277.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -49.27004163 +/- 0.2345 Ecliptic Y -3.16881918 +/- 0.0143 Ecliptic Z 1.37817890 +/- 0.0067 Ecliptic XDOT 0.00082209 +/- 0.0018 Ecliptic YDOT -0.00238222 +/- 0.0000 Ecliptic ZDOT -0.00001853 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.39106999 +/- 0.2339 Geocenter to KBO 48.40473106 +/- 0.2350 # Hcoef: 8.50
The following table shows the complete astrometric record for 16GH370. 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 (16GH370) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38656 12 15 24.27 +00 06 34.6 25.5i 16GH370 T09 C~8AhT 2016 04 02.41462 12 15 24.16 +00 06 35.4 25.7i 16GH370 T09 C~8AhT 2016 04 02.43920 12 15 24.07 +00 06 35.8 25.6i 16GH370 T09 C~8AhT 2016 04 02.46363 12 15 23.96 +00 06 36.3 25.4i 16GH370 T09 C~8AhT 2016 04 02.46633 12 15 23.96 +00 06 36.6 25.4i 16GH370 T09 C~8AhT 2016 04 02.49902 12 15 23.84 +00 06 37.3 24.9i 16GH370 T09 C~8AhT 2016 04 02.52059 12 15 23.76 +00 06 37.8 25.3i 16GH370 T09 C~8AhT 2016 04 08.51156 12 15 01.17 +00 09 01.4 25.7r 16GH370 T09 C~8AhT 2016 04 08.51792 12 15 01.14 +00 09 02.1 25.2r 16GH370 T09 C~8AhT 2016 04 08.52637 12 15 01.12 +00 09 02.1 25.7r 16GH370 T09 C~8AhT 2016 06 04.28656 12 12 37.27 +00 23 13.7 24.5z 16GH370 T09 C~8AhT 2016 06 04.30275 12 12 37.28 +00 23 13.7 25.0z 16GH370 T09 C~8AhT 2016 06 04.32438 12 12 37.27 +00 23 13.9 24.6z 16GH370 T09 C~8AhT 2016 06 04.34057 12 12 37.22 +00 23 14.4 24.6z 16GH370 T09 C~8AhT
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 -0.03 0.00 0.01 2 0.0001 -1.83 -0.09 0.08 0.11 3 0.0001 -3.23 0.06 -0.09 -0.04 4 0.0002 -4.94 -0.11 -0.29 -0.22 5 0.0002 -5.06 -0.05 -0.01 0.05 6 0.0003 -6.99 0.08 -0.08 0.00 7 0.0004 -8.29 0.14 -0.10 0.00 8 0.0168 -376.30 0.12 -2.84 -0.24 9 0.0168 -376.99 -0.18 -2.38 0.23 10 0.0168 -377.27 0.06 -2.50 0.12 11 0.1722 -2695.91 -0.16 -77.55 -0.21 12 0.1723 -2695.77 0.21 -77.49 -0.11 13 0.1723 -2695.99 0.30 -77.36 0.06 14 0.1724 -2696.87 -0.35 -77.20 0.26
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.