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: 16GC369 # Created Wed Nov 27 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 26.08d # First observation: 2016/03/16 # Last observation: 2016/04/11 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.029004 -0.000000 -0.005087 0.026064 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 10.28 DOF: 23 RMS: 0.15 # Min/Max residuals: -0.35 0.36 # Exact a, adot, b, bdot, g, gdot: 1.692117E-05 2.624377E-02 -3.253187E-06 -4.870534E-03 2.549711E-02 -1.825237E-03 # Covariance matrix: 1.9658E-12 2.7463E-09 -1.9094E-13 -2.0764E-10 5.0313E-10 1.9904E-08 2.7463E-09 4.5179E-06 -3.1322E-10 -3.4084E-07 8.2490E-07 3.1654E-05 -1.9094E-13 -3.1322E-10 3.1019E-13 1.9427E-11 -5.7269E-11 -2.2494E-09 -2.0764E-10 -3.4084E-07 1.9427E-11 2.5817E-08 -6.2275E-08 -2.4169E-06 5.0313E-10 8.2490E-07 -5.7269E-11 -6.2275E-08 1.5091E-07 5.9853E-06 1.9904E-08 3.1654E-05 -2.2494E-09 -2.4169E-06 5.9853E-06 3.6403E-04 # lat0 lon0 xBary yBary zBary JD0 10.490772 -150.143441 0.553039 0.149935 -0.808918 2457463.960299 # Heliocentric elements and errors Epoch: 2457460.5000 = 2016/03/13 Mean Anomaly: 331.37442 +/- 193.168 Argument of Peri: 172.84316 +/- 277.890 Long of Asc Node: 73.27402 +/- 1.987 Inclination: 14.56905 +/- 0.505 Eccentricity: 0.14473532 +/- 0.3998 Semi-Major Axis: 45.55804148 +/- 3.9186 Time of Perihelion: 2466391.4523 +/- 60255.7 Perihelion: 38.96418396 +/- 18.5196 Aphelion: 52.15189901 +/- 18.7580 Period (y) 307.5075 +/- 39.67 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.43831894 +/- 0.5096 Ecliptic Y -19.13103540 +/- 0.2925 Ecliptic Z 7.14098389 +/- 0.1088 Ecliptic XDOT 0.00148740 +/- 0.0017 Ecliptic YDOT -0.00240245 +/- 0.0011 Ecliptic ZDOT -0.00054993 +/- 0.0004 # Distances at JD0 (AU) Heliocenter to KBO 40.03733231 +/- 0.4605 Geocenter to KBO 39.22012830 +/- 0.5976 # Hcoef: 9.18
The following table shows the complete astrometric record for 16GC369. 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 (16GC369) followed by the observatory code and reference code for the source of the astrometry.
2016 03 16.45951 14 05 47.79 -01 35 06.6 24.4z 16GC369 T09 C~89Td 2016 03 16.48552 14 05 47.70 -01 35 05.6 24.5z 16GC369 T09 C~89Td 2016 03 16.53802 14 05 47.53 -01 35 04.6 24.4z 16GC369 T09 C~89Td 2016 03 16.56263 14 05 47.42 -01 35 04.3 24.7z 16GC369 T09 C~89Td 2016 03 16.58446 14 05 47.32 -01 35 03.4 25.2z 16GC369 T09 C~89Td 2016 04 08.53253 14 04 11.42 -01 24 43.1 25.8r 16GC369 T09 C~89Td 2016 04 08.55612 14 04 11.32 -01 24 42.4 25.1r 16GC369 T09 C~89Td 2016 04 08.56457 14 04 11.26 -01 24 42.4 25.7r 16GC369 T09 C~89Td 2016 04 11.42730 14 03 57.96 -01 23 28.1 24.9i 16GC369 T09 C~89Td 2016 04 11.45409 14 03 57.84 -01 23 27.4 24.9i 16GC369 T09 C~89Td 2016 04 11.50036 14 03 57.61 -01 23 26.2 25.4i 16GC369 T09 C~89Td 2016 04 11.52195 14 03 57.51 -01 23 25.7 24.8i 16GC369 T09 C~89Td 2016 04 11.52732 14 03 57.50 -01 23 25.6 24.7i 16GC369 T09 C~89Td 2016 04 11.54095 14 03 57.42 -01 23 25.1 25.4i 16GC369 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 -0.13 0.00 0.05
2 0.0001 -1.61 -0.16 0.47 0.36
3 0.0002 -4.35 0.32 0.53 0.09
4 0.0003 -6.00 0.18 0.24 -0.35
5 0.0003 -7.72 -0.21 0.57 -0.16
6 0.0632 -1571.49 -0.01 86.34 0.02
7 0.0632 -1573.14 0.11 86.48 0.15
8 0.0633 -1573.98 -0.10 86.17 -0.16
9 0.0711 -1786.83 -0.06 87.03 -0.03
10 0.0712 -1788.76 0.04 87.07 0.02
11 0.0713 -1792.41 -0.09 87.00 -0.01
12 0.0714 -1793.99 -0.03 86.95 -0.05
13 0.0714 -1794.16 0.20 87.00 -0.00
14 0.0714 -1795.46 -0.06 87.05 0.06
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.