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: 16GR367 # Created Wed Nov 27 02:10:37 2024 # Orbit generated from Bernstein formalism # Fitting 17 observations of 17 # Arc: 34.95d # First observation: 2016/03/07 # Last observation: 2016/04/11 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.024285 -0.000002 -0.000851 0.023885 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 5.69 DOF: 29 RMS: 0.10 # Min/Max residuals: -0.27 0.32 # Exact a, adot, b, bdot, g, gdot: 1.459858E-05 2.194618E-02 -5.932911E-07 -6.586081E-04 2.335429E-02 4.691102E-03 # Covariance matrix: 4.9132E-13 9.5402E-11 -1.0872E-13 -7.9587E-12 2.3854E-11 3.3121E-09 9.5402E-11 2.4310E-07 -1.9971E-10 -2.0451E-08 4.9947E-08 3.6104E-06 -1.0872E-13 -1.9971E-10 4.5128E-13 1.3416E-11 -4.1624E-11 -3.2688E-09 -7.9587E-12 -2.0451E-08 1.3416E-11 1.7780E-09 -4.1955E-09 -2.9998E-07 2.3854E-11 4.9947E-08 -4.1624E-11 -4.1955E-09 1.0340E-08 7.8098E-07 3.3121E-09 3.6104E-06 -3.2688E-09 -2.9998E-07 7.8098E-07 7.3839E-05 # lat0 lon0 xBary yBary zBary JD0 10.644084 -150.145394 0.672020 0.134245 -0.713518 2457455.091949 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 71.66374 +/- 46.870 Argument of Peri: 3.98484 +/- 19.905 Long of Asc Node: 110.62979 +/- 0.258 Inclination: 10.57429 +/- 0.007 Eccentricity: 0.19622232 +/- 0.3821 Semi-Major Axis: 44.63431423 +/- 8.5362 Time of Perihelion: 2435768.5318 +/- 12743.5 Perihelion: 35.87606540 +/- 18.3815 Aphelion: 53.39256307 +/- 19.8764 Period (y) 298.2027 +/- 85.55 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.46496823 +/- 0.1589 Ecliptic Y -20.72940589 +/- 0.0912 Ecliptic Z 7.90892925 +/- 0.0345 Ecliptic XDOT 0.00079947 +/- 0.0008 Ecliptic YDOT -0.00251448 +/- 0.0005 Ecliptic ZDOT 0.00002571 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 43.54174176 +/- 0.1436 Geocenter to KBO 42.81867848 +/- 0.1864 # Hcoef: 8.87
The following table shows the complete astrometric record for 16GR367. 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 (16GR367) followed by the observatory code and reference code for the source of the astrometry.
2016 03 07.59116 14 06 00.06 -01 26 26.2 26.2g 16GR367 T09 C~89Ta 2016 03 07.62483 14 05 59.95 -01 26 25.3 26.7g 16GR367 T09 C~89Ta 2016 03 07.63983 14 05 59.92 -01 26 25.0 26.7g 16GR367 T09 C~89Ta 2016 03 16.45951 14 05 32.91 -01 22 28.1 24.8z 16GR367 T09 C~89Ta 2016 03 16.51315 14 05 32.71 -01 22 26.7 25.3z 16GR367 T09 C~89Ta 2016 03 16.53802 14 05 32.64 -01 22 25.7 24.4z 16GR367 T09 C~89Ta 2016 03 16.58446 14 05 32.47 -01 22 25.0 24.7z 16GR367 T09 C~89Ta 2016 04 08.52969 14 04 03.91 -01 11 57.5 25.1r 16GR367 T09 C~89Ta 2016 04 08.53253 14 04 03.90 -01 11 57.3 25.2r 16GR367 T09 C~89Ta 2016 04 08.54322 14 04 03.85 -01 11 57.2 25.0r 16GR367 T09 C~89Ta 2016 04 08.55612 14 04 03.79 -01 11 56.7 25.2r 16GR367 T09 C~89Ta 2016 04 08.56457 14 04 03.75 -01 11 56.5 25.0r 16GR367 T09 C~89Ta 2016 04 11.42730 14 03 51.49 -01 10 41.3 24.4i 16GR367 T09 C~89Ta 2016 04 11.47599 14 03 51.28 -01 10 40.1 24.5i 16GR367 T09 C~89Ta 2016 04 11.50036 14 03 51.17 -01 10 39.4 25.0i 16GR367 T09 C~89Ta 2016 04 11.52732 14 03 51.06 -01 10 38.6 24.8i 16GR367 T09 C~89Ta 2016 04 11.54095 14 03 50.99 -01 10 38.4 25.0i 16GR367 T09 C~89Ta
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 0.03
2 0.0001 -1.86 -0.15 0.28 -0.03
3 0.0001 -2.38 0.07 0.40 -0.05
4 0.0243 -464.29 0.12 82.96 0.09
5 0.0244 -467.58 -0.10 83.24 -0.06
6 0.0245 -468.91 -0.00 83.82 0.32
7 0.0246 -471.55 0.03 83.60 -0.27
8 0.0874 -1934.65 0.04 214.06 -0.09
9 0.0875 -1934.86 0.03 214.19 0.04
10 0.0875 -1935.60 0.04 214.03 -0.15
11 0.0875 -1936.61 -0.08 214.19 -0.03
12 0.0875 -1937.25 -0.12 214.17 -0.07
13 0.0954 -2135.78 -0.03 221.26 0.04
14 0.0955 -2139.15 0.05 221.30 -0.00
15 0.0956 -2140.94 -0.01 221.39 0.05
16 0.0956 -2142.77 0.08 221.57 0.18
17 0.0957 -2143.82 -0.01 221.39 -0.01
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.