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: 16PQ296 # Created Wed Nov 27 02:10:40 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 37.03d # First observation: 2016/08/01 # Last observation: 2016/09/07 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.028620 -0.000002 0.000387 0.025300 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 8.35 DOF: 33 RMS: 0.12 # Min/Max residuals: -0.25 0.24 # Exact a, adot, b, bdot, g, gdot: 1.565839E-05 2.505536E-02 -2.705761E-07 4.974338E-04 2.449981E-02 -9.119355E-03 # Covariance matrix: 3.9150E-13 1.3678E-10 -5.7394E-14 -4.2059E-12 3.2521E-11 3.6288E-09 1.3678E-10 3.6029E-07 -1.2254E-10 -1.1549E-08 7.6296E-08 5.6376E-06 -5.7394E-14 -1.2254E-10 2.5037E-13 1.6265E-12 -2.6190E-11 -2.0305E-09 -4.2059E-12 -1.1549E-08 1.6265E-12 4.1039E-10 -2.4399E-09 -1.7791E-07 3.2521E-11 7.6296E-08 -2.6190E-11 -2.4399E-09 1.6231E-08 1.2283E-06 3.6288E-09 5.6376E-06 -2.0305E-09 -1.7791E-07 1.2283E-06 1.0446E-04 # lat0 lon0 xBary yBary zBary JD0 4.308482 -6.245220 0.706363 0.054877 -0.726935 2457601.960659 # Heliocentric elements and errors Epoch: 2457600.5000 = 2016/07/31 Mean Anomaly: 324.64779 +/- 21.791 Argument of Peri: 153.18171 +/- 17.337 Long of Asc Node: 278.47660 +/- 0.670 Inclination: 4.39618 +/- 0.015 Eccentricity: 0.42292760 +/- 0.4211 Semi-Major Axis: 54.73806576 +/- 21.6359 Time of Perihelion: 2472126.5193 +/- 2448.3 Perihelion: 31.58782711 +/- 26.2162 Aphelion: 77.88830442 +/- 38.4604 Period (y) 404.9882 +/- 240.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.10397732 +/- 0.2104 Ecliptic Y -5.21138100 +/- 0.0230 Ecliptic Z 3.06644669 +/- 0.0160 Ecliptic XDOT -0.00070846 +/- 0.0011 Ecliptic YDOT 0.00288732 +/- 0.0001 Ecliptic ZDOT -0.00002115 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 41.54634207 +/- 0.2082 Geocenter to KBO 40.81665103 +/- 0.2122 # Hcoef: 7.93
The following table shows the complete astrometric record for 16PQ296. 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 (16PQ296) followed by the observatory code and reference code for the source of the astrometry.
2016 08 01.45987 23 30 14.90 +01 28 37.6 24.4z 16PQ296 T09 C~86tr 2016 08 01.47877 23 30 14.83 +01 28 37.3 24.0z 16PQ296 T09 C~86tr 2016 08 01.49230 23 30 14.78 +01 28 36.9 23.7z 16PQ296 T09 C~86tr 2016 08 01.55200 23 30 14.62 +01 28 36.1 24.1z 16PQ296 T09 C~86tr 2016 08 09.44928 23 29 48.72 +01 26 26.9 24.0y 16PQ296 T09 C~86tr 2016 08 09.46016 23 29 48.68 +01 26 26.9 24.0y 16PQ296 T09 C~86tr 2016 08 09.48473 23 29 48.59 +01 26 26.2 24.2y 16PQ296 T09 C~86tr 2016 08 09.51797 23 29 48.47 +01 26 25.6 24.0y 16PQ296 T09 C~86tr 2016 08 09.55952 23 29 48.34 +01 26 24.9 23.3y 16PQ296 T09 C~86tr 2016 09 05.33751 23 27 59.94 +01 16 06.5 23.3i 16PQ296 T09 C~86tr 2016 09 05.34434 23 27 59.91 +01 16 06.3 23.3i 16PQ296 T09 C~86tr 2016 09 05.38833 23 27 59.72 +01 16 05.3 23.3i 16PQ296 T09 C~86tr 2016 09 05.39642 23 27 59.67 +01 16 05.2 23.6i 16PQ296 T09 C~86tr 2016 09 07.37372 23 27 50.90 +01 15 11.4 24.2r 16PQ296 T09 C~86tr 2016 09 07.38805 23 27 50.85 +01 15 10.7 24.2r 16PQ296 T09 C~86tr 2016 09 07.40976 23 27 50.75 +01 15 10.4 24.5r 16PQ296 T09 C~86tr 2016 09 07.44502 23 27 50.59 +01 15 09.2 24.4r 16PQ296 T09 C~86tr 2016 09 07.45841 23 27 50.53 +01 15 09.0 24.0r 16PQ296 T09 C~86tr 2016 09 07.48918 23 27 50.40 +01 15 08.0 24.0r 16PQ296 T09 C~86tr
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 0.11 0.00 0.12 2 0.0001 -1.08 -0.06 0.14 0.16 3 0.0001 -1.93 -0.25 0.07 0.02 4 0.0003 -4.45 0.15 0.28 -0.08 5 0.0219 -412.25 -0.01 35.25 -0.06 6 0.0219 -412.81 0.05 35.49 0.12 7 0.0220 -414.32 -0.08 35.38 -0.10 8 0.0221 -416.21 -0.09 35.54 -0.09 9 0.0222 -418.28 0.20 35.67 -0.15 10 0.0955 -2155.93 -0.09 110.94 -0.13 11 0.0955 -2156.42 -0.09 110.93 -0.14 12 0.0956 -2159.43 0.09 111.14 -0.02 13 0.0957 -2160.16 -0.05 111.35 0.17 14 0.1011 -2302.25 -0.10 113.99 0.24 15 0.1011 -2303.22 -0.02 113.64 -0.13 16 0.1012 -2304.71 0.07 113.96 0.15 17 0.1013 -2307.39 -0.02 113.81 -0.06 18 0.1013 -2308.30 0.05 113.98 0.09 19 0.1014 -2310.48 0.12 113.83 -0.11
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.