A satellite orbits a planet; at the same time, the satellite - planet system orbits a star. Show that if the satellite- planet distance is less than the Hill radius, the sidereal period of the satellite about the planet must be shorter than the sidereal period of the satellite-planet system about the star. (You may assume circular coplanar orbits.)
A satellite orbits a planet; at the same time, the satellite - planet system orbits a star. Show that if the satellite- planet distance is less than the Hill radius, the sidereal period of the satellite about the planet must be shorter than the sidereal period of the satellite-planet system about the star. (You may assume circular coplanar orbits.)
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Transcribed Image Text:A satellite orbits a planet; at the same time, the satellite
-planet system orbits a star. Show that if the satellite-
planet distance is less than the Hill radius, the sidereal
period of the satellite about the planet must be shorter
than the sidereal period of the satellite-planet system
about the star. (You may assume circular coplanar
orbits.)
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