 Home

Codex Wiki

Physics

Branches of physics

Classical mechanics

Inverse-square force

Laplace-Runge-Lenz vector

Taking the dot product of the <Laplace-Runge-Lenz vector> with $\widehat{\mathbf r}$ gives $A\cos\theta=L^2/r+mk$. Thus
$$
r=\frac{\lambda}{e\cos\theta-1},
\qquad
\lambda=\frac{L^2}{mk},
\qquad
e=\frac{A}{mk}.
$$

Polar equation of a repulsive inverse-square orbit

Past exam of the mathematics course of the University of Cambridge / 2017 / ia / Paper 4 / 10A / b / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 8B / Solution

Polar equation of a repulsive inverse-square orbit

 Ancestors (6)

 Incoming links (2)

 Discussion (0)

 Articles by others on the same topic (0)

Polar equation of a repulsive inverse-square orbit

 Ancestors (6)

 Incoming links (2)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)