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: 16RK107
# Created Wed Nov 27 02:10:42 2024
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 2.06d
# First observation: 2016/09/05
# Last observation: 2016/09/07
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 0.97 DOF: 8 RMS: 0.07
# Min/Max residuals: -0.09 0.14
# Exact a, adot, b, bdot, g, gdot:
1.490739E-05 2.317323E-02 2.779145E-06 3.883641E-03 2.409383E-02 0.000000E+00
# Covariance matrix:
3.2932E-11 4.9358E-08 -2.7196E-13 -4.1917E-10 8.0440E-09 0.0000E+00
4.9358E-08 7.5109E-05 -4.1306E-10 -6.3673E-07 1.2219E-05 0.0000E+00
-2.7196E-13 -4.1306E-10 3.9601E-13 -6.4906E-11 -6.7227E-11 0.0000E+00
-4.1917E-10 -6.3673E-07 -6.4906E-11 3.6821E-08 -1.0363E-07 0.0000E+00
8.0440E-09 1.2219E-05 -6.7227E-11 -1.0363E-07 1.9886E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.8405E-04
# lat0 lon0 xBary yBary zBary JD0
2.717326 -5.341672 0.200831 0.047094 -0.989475 2457636.841719
# Heliocentric elements and errors
Epoch: 2457630.5000 = 2016/08/30
Mean Anomaly: 347.86221 +/- 273.003
Argument of Peri: 28.19832 +/- 338.983
Long of Asc Node: 338.98942 +/- 5.799
Inclination: 9.90660 +/- 3.573
Eccentricity: 0.01895843 +/- 0.5646
Semi-Major Axis: 43.29284412 +/- 22.4074
Time of Perihelion: 2461138.5024 +/- 495075.8
Perihelion: 42.47207991 +/- 32.8753
Aphelion: 44.11360832 +/- 33.4494
Period (y) 284.8606 +/- 221.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 42.24169984 +/- 2.4159
Ecliptic Y -4.15419474 +/- 0.2261
Ecliptic Z 1.96780597 +/- 0.1152
Ecliptic XDOT 0.00022595 +/- 0.0015
Ecliptic YDOT 0.00261682 +/- 0.0008
Ecliptic ZDOT 0.00044078 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 42.49106729 +/- 2.4018
Geocenter to KBO 41.50439634 +/- 2.4292
# Hcoef: 8.88
The following table shows the complete astrometric record for 16RK107. 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 (16RK107) followed by the observatory code and reference code for the source of the astrometry.
2016 09 05.34093 23 36 04.86 +00 22 22.2 24.7i 16RK107 T09 C~8HHX 2016 09 05.35854 23 36 04.78 +00 22 21.7 24.4i 16RK107 T09 C~8HHX 2016 09 05.36940 23 36 04.72 +00 22 21.6 24.6i 16RK107 T09 C~8HHX 2016 09 07.37657 23 35 55.90 +00 21 30.8 25.4r 16RK107 T09 C~8HHX 2016 09 07.40325 23 35 55.79 +00 21 30.0 25.2r 16RK107 T09 C~8HHX 2016 09 07.40539 23 35 55.78 +00 21 30.0 25.4r 16RK107 T09 C~8HHX
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 0.06 0.00 -0.05
2 0.0000 -1.30 0.02 0.02 -0.09
3 0.0001 -2.17 -0.08 0.28 0.14
4 0.0056 -143.76 -0.06 6.03 0.09
5 0.0056 -145.60 0.02 5.95 -0.07
6 0.0057 -145.73 0.04 6.01 -0.02
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.