Recent content by TimK

I just tried it again with a much larger eccentricity and it works. All I need now is a better integrator.

I should've mentioned that the circles are not centred on the origin. So the angular velocity is not constant for what should be an elliptical orbit.

The equations of motion are: \ddot{r}-r{\dot{\theta}} ^{2} = -\frac{1}{r^{2}} for the radial acceleration and r\ddot{\theta} + 2\dot{r}\dot{\theta}= 0 for the transverse acceleration When I integrate these equations I get only circles. The energy of the system is constant and the angular...