Question

8.12** (a) By examining the effective potential energy (8.32) find the radius at which a planet (or comet) with angular momentum & can orbit the sun in a circular orbit with fixed radius. [Look at dUeff/dr.] (b) Show that this circular orbit is stable, in the sense that a small radial nudge will cause only small radial oscillations. Look at dUe/dr2.] Show that the period of these oscillations is equal to the planet's orbital period. UGmmea 2ur2 in2 eff(r) =- (8.32)

Answer 1

3k 서궁 Foi eff to be忉immuni 0 maximum dueff 2. イ 2- 。 시12 ueff-13 minimum ata-5 that i is bti Stable abi