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: 16GA369 # 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: 0.000001 0.026533 -0.000000 -0.011470 0.025679 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 7.07 DOF: 23 RMS: 0.13 # Min/Max residuals: -0.23 0.21 # Exact a, adot, b, bdot, g, gdot: 1.351529E-05 2.016727E-02 -6.927120E-06 -1.175116E-02 2.466073E-02 7.847052E-03 # Covariance matrix: 1.5367E-12 1.3044E-09 -1.0791E-13 4.3858E-11 2.3217E-10 -1.4216E-08 1.3044E-09 1.5893E-06 -1.5746E-10 6.2793E-08 2.6652E-07 -2.1813E-05 -1.0791E-13 -1.5746E-10 2.0717E-13 -7.9560E-12 -2.5373E-11 2.4506E-09 4.3858E-11 6.2793E-08 -7.9560E-12 2.7138E-09 1.0158E-08 -9.6609E-07 2.3217E-10 2.6652E-07 -2.5373E-11 1.0158E-08 4.5334E-08 -3.4794E-06 -1.4216E-08 -2.1813E-05 2.4506E-09 -9.6609E-07 -3.4794E-06 3.4935E-04 # lat0 lon0 xBary yBary zBary JD0 0.906994 -174.942571 -0.133625 0.015758 -0.986478 2457480.883919 # Heliocentric elements and errors Epoch: 2457480.5000 = 2016/04/02 Mean Anomaly: 62.11587 +/- 69.392 Argument of Peri: 78.52256 +/- 12.032 Long of Asc Node: 6.76628 +/- 0.106 Inclination: 30.19142 +/- 1.715 Eccentricity: 0.32503801 +/- 0.7485 Semi-Major Axis: 43.89990259 +/- 21.3016 Time of Perihelion: 2439149.1772 +/- 15535.4 Perihelion: 29.63076575 +/- 35.8667 Aphelion: 58.16903944 +/- 43.3172 Period (y) 290.8731 +/- 211.71 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.36207795 +/- 0.3487 Ecliptic Y -3.79690139 +/- 0.0308 Ecliptic Z 0.64162692 +/- 0.0055 Ecliptic XDOT -0.00069077 +/- 0.0021 Ecliptic YDOT -0.00231586 +/- 0.0001 Ecliptic ZDOT -0.00129066 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.54093929 +/- 0.3472 Geocenter to KBO 40.55029786 +/- 0.3501 # Hcoef: 8.30
The following table shows the complete astrometric record for 16GA369. 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 (16GA369) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38313 12 20 00.40 -01 10 36.6 24.4i 16GA369 T09 C~89Td 2016 04 02.43374 12 20 00.17 -01 10 35.3 24.3i 16GA369 T09 C~89Td 2016 04 02.49093 12 19 59.89 -01 10 33.9 24.2i 16GA369 T09 C~89Td 2016 04 04.33742 12 19 51.05 -01 09 50.4 25.3g 16GA369 T09 C~89Td 2016 04 04.36164 12 19 50.94 -01 09 49.7 25.1g 16GA369 T09 C~89Td 2016 04 04.38302 12 19 50.84 -01 09 49.6 24.8g 16GA369 T09 C~89Td 2016 04 04.40012 12 19 50.75 -01 09 49.1 25.2g 16GA369 T09 C~89Td 2016 04 04.40648 12 19 50.71 -01 09 48.9 25.0g 16GA369 T09 C~89Td 2016 06 04.24853 12 16 23.32 -00 55 31.6 24.0z 16GA369 T09 C~89Td 2016 06 04.28388 12 16 23.28 -00 55 31.2 24.2z 16GA369 T09 C~89Td 2016 06 04.30006 12 16 23.27 -00 55 31.4 24.4z 16GA369 T09 C~89Td 2016 06 04.31896 12 16 23.22 -00 55 31.4 24.2z 16GA369 T09 C~89Td 2016 06 04.32166 12 16 23.23 -00 55 31.2 24.0z 16GA369 T09 C~89Td 2016 06 04.33517 12 16 23.20 -00 55 31.6 24.0z 16GA369 T09 C~89Td
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 -0.12 0.00 -0.13 2 0.0001 -3.68 0.08 -0.17 0.07 3 0.0003 -8.09 0.05 -0.55 0.11 4 0.0054 -147.05 -0.09 -13.16 0.04 5 0.0054 -148.84 -0.04 -13.17 0.21 6 0.0055 -150.26 0.18 -13.67 -0.13 7 0.0055 -151.69 0.04 -13.74 -0.08 8 0.0055 -152.32 -0.10 -13.80 -0.09 9 0.1721 -3347.96 -0.05 -459.90 -0.21 10 0.1722 -3348.67 -0.06 -459.77 0.20 11 0.1723 -3348.72 0.20 -460.02 0.09 12 0.1723 -3349.41 -0.11 -460.32 -0.06 13 0.1723 -3349.35 0.00 -460.07 0.21 14 0.1724 -3349.61 0.01 -460.62 -0.23
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.