Unformatted text preview: at these two points on the orbit is a n = v 2 ρ where v is the satellite’s speed and ρ is the radius of curvature of the orbit at the apogee and the perigee. We know from Newton’s Universal Law of Gravitation that the normal force at these two points, F n , is F n = GMm r 2 = ma n = mv 2 ρ = ⇒ 1 ρ = GM r 2 v 2 But, specific angular momentum is h = rv , so that GM r 2 v 2 = GM h 2 = ⇒ GM h 2 = 1 ρ Combining with the result above, there follows 1 ρ = 1 2 w 1 r A + 1 r P W...
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- Spring '06
- General Relativity, Planet, rA rP