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: 16GK368 # Created Wed Nov 27 02:10:37 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 63.97d # First observation: 2016/04/02 # Last observation: 2016/06/05 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.035632 0.000001 0.005831 0.027739 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 8.90 DOF: 23 RMS: 0.14 # Min/Max residuals: -0.26 0.23 # Exact a, adot, b, bdot, g, gdot: 1.744090E-05 2.993721E-02 4.578234E-06 5.818141E-03 2.686221E-02 -3.734197E-03 # Covariance matrix: 5.5518E-13 4.2719E-10 -2.9327E-15 3.7708E-12 7.6679E-11 -4.1949E-09 4.2719E-10 6.8825E-07 -3.6156E-13 2.8344E-09 1.1075E-07 -1.0194E-05 -2.9327E-15 -3.6156E-13 1.8713E-13 -1.1463E-12 -2.6493E-13 -5.1904E-11 3.7708E-12 2.8344E-09 -1.1463E-12 6.6077E-11 6.0936E-10 4.6071E-10 7.6679E-11 1.1075E-07 -2.6493E-13 6.0936E-10 1.8416E-08 -1.4764E-06 -4.1949E-09 -1.0194E-05 -5.1904E-11 4.6071E-10 -1.4764E-06 1.9642E-04 # lat0 lon0 xBary yBary zBary JD0 1.295765 -173.911057 -0.115842 0.022502 -0.988594 2457480.883919 # Heliocentric elements and errors Epoch: 2457480.5000 = 2016/04/02 Mean Anomaly: 343.82965 +/- 44.272 Argument of Peri: 37.02381 +/- 92.187 Long of Asc Node: 179.77671 +/- 0.189 Inclination: 11.03313 +/- 0.315 Eccentricity: 0.29485758 +/- 0.3333 Semi-Major Axis: 52.50312654 +/- 13.1309 Time of Perihelion: 2463722.0606 +/- 16927.2 Perihelion: 37.02218185 +/- 19.7974 Aphelion: 67.98407123 +/- 24.3987 Period (y) 380.4398 +/- 142.72 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.98221996 +/- 0.1870 Ecliptic Y -4.17051049 +/- 0.0199 Ecliptic Z 0.84202328 +/- 0.0043 Ecliptic XDOT 0.00071545 +/- 0.0014 Ecliptic YDOT -0.00299925 +/- 0.0001 Ecliptic ZDOT 0.00058425 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.21977491 +/- 0.1858 Geocenter to KBO 37.22702362 +/- 0.1881 # Hcoef: 9.54
The following table shows the complete astrometric record for 16GK368. 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 (16GK368) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38313 12 24 24.69 -01 13 41.6 25.5i 16GK368 T09 C~89Tc 2016 04 02.41191 12 24 24.57 -01 13 40.4 24.8i 16GK368 T09 C~89Tc 2016 04 02.43645 12 24 24.43 -01 13 39.5 24.8i 16GK368 T09 C~89Tc 2016 04 02.49363 12 24 24.16 -01 13 37.9 25.3i 16GK368 T09 C~89Tc 2016 04 02.50982 12 24 24.08 -01 13 37.0 25.1i 16GK368 T09 C~89Tc 2016 04 04.34027 12 24 15.53 -01 12 35.7 26.1g 16GK368 T09 C~89Tc 2016 04 04.40223 12 24 15.25 -01 12 33.5 25.9g 16GK368 T09 C~89Tc 2016 04 04.50037 12 24 14.79 -01 12 30.3 26.0g 16GK368 T09 C~89Tc 2016 06 04.25539 12 20 57.91 -00 49 05.3 24.9z 16GK368 T09 C~89Tc 2016 06 04.26765 12 20 57.88 -00 49 05.3 24.6z 16GK368 T09 C~89Tc 2016 06 05.30865 12 20 56.85 -00 48 57.4 25.3r 16GK368 T09 C~89Tc 2016 06 05.31150 12 20 56.84 -00 48 57.0 25.2r 16GK368 T09 C~89Tc 2016 06 05.33704 12 20 56.82 -00 48 56.7 25.4r 16GK368 T09 C~89Tc 2016 06 05.35188 12 20 56.79 -00 48 56.9 25.5r 16GK368 T09 C~89Tc
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 0.04 0.00 -0.24 2 0.0001 -2.13 0.19 0.39 0.08 3 0.0001 -4.41 -0.15 0.39 0.01 4 0.0003 -8.76 0.02 0.25 -0.26 5 0.0003 -10.22 -0.16 0.61 0.05 6 0.0054 -152.23 -0.12 6.18 -0.00 7 0.0055 -156.96 0.03 6.54 0.20 8 0.0058 -164.56 0.15 6.74 0.17 9 0.1721 -3432.58 0.05 128.46 0.11 10 0.1722 -3432.99 -0.13 128.29 -0.08 11 0.1750 -3450.31 0.20 129.43 -0.21 12 0.1750 -3450.60 -0.05 129.73 0.09 13 0.1751 -3451.00 -0.00 129.89 0.23 14 0.1751 -3451.33 -0.08 129.53 -0.14
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.