6. Halley's Comet has an orbital eccentricity of 0.967 and a perihelion distance of 89,000,000 km. (a) Find the orbital period. (b) Find the comet's speed at perihelion and aphelion.

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Kepler's laws of planetary motion
6. Halley's Comet has an orbital eccentricity of 0.967 and a perihelion distance of 89,000,000 km.
(a) Find the orbital period.
(b) Find the comet's speed at perihelion and aphelion.
7. Show that the orbital period of a satellite close to the surface of a spherical object depends on the
mean density of the object, but not on its size. Find this period for the Earth (density 5.51 g cm-3).
Transcribed Image Text:Kepler's laws of planetary motion 6. Halley's Comet has an orbital eccentricity of 0.967 and a perihelion distance of 89,000,000 km. (a) Find the orbital period. (b) Find the comet's speed at perihelion and aphelion. 7. Show that the orbital period of a satellite close to the surface of a spherical object depends on the mean density of the object, but not on its size. Find this period for the Earth (density 5.51 g cm-3).
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