Advanced — Rocket in OrbitHardQuestion 30780
Question
A rocket in circular orbit at radius r fires its engine briefly backward (retrograde). The rocket then:
- AMoves to a higher circular orbit
- BMoves to a lower orbit (elliptical, then circularises at lower radius)Correct
- CEscapes Earth
- DStays in same orbit at lower speed
Correct answer
Moves to a lower orbit (elliptical, then circularises at lower radius)
Explanation
Retrograde burn: speed decreases → KE decreases → total E becomes more negative → apogee stays at r but perigee drops → elliptical orbit with lower perigee. A second retrograde burn at perigee circularises at the lower orbit.