So I found the equations for a parametric form equation of the motion of the system:
x=cos t + cos t/2
y=sin t + sin t/2
the 2nd derivative of each gives
x''=-sin(t)-sin(t/2)/4
y''=-cos(t)-cos(t/2)/4
the curve by inspection seems to have symmetry and average out on all angles so no...
This is similar to finding the net force of a moon around and planet and the planet around the sun but in perfect circular orbits in 2d without consideration for gravitational effects.
Does anyone have a solution? If not there's a complicated paper that could be simplified from NASA in the...