A meteor is observed to strike Earth with a speed v, making an angle ϕ with the zenith. Suppose that far from Earth the meteor’s speed was v′ and it was proceeding in a direction making a zenith angle ϕ′, the effect of Earth’s gravity being to pull it into a hyperbolic orbit intersecting Earth’s surface. Show how v′ and ϕ′ can be determined from v and ϕ in terms of known constants.
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