Orbits of planets, moons and satellites (AQA A-Level Physics): Flashcards

$F = \frac{Gm_1m_2}{r^2}$

$m_1 = \frac{r^3\omega^2}{G}$

$T^2 \propto r^3$

Satellite remains above same point on Earth, 24h period

24h period, equatorial plane, same direction as Earth rotation

$v = \sqrt{\frac{GM}{r}}$

Lower orbits require higher speeds

$E_{total} = -\frac{GMm}{2r}$ (negative, gravitationally bound)

$v = \sqrt{\frac{2GM}{R}}$

Passes over both poles, orbital plane 90° to equatorial plane