2 problems

Let $q,p\in\mathbb{R}^3$, and let $\mathrm{O}(3)$ act diagonally on $(q,p)$. Define the invariant coordinates … Suppose that $\bar H(q,p)$ is a smooth $\mathrm{O}(3)$-invariant fun…

Let a power-law potential be different from the inverse-square potential. Zero-precession conjecture. Zero precession never occurs for such a power-law potential. The conjecture co…