Let T be the period of a planet around the sun, that is, T is the time required for the planet to complete one revolution around the sun, through its elliptical orbit. Assume that the lengths of the major and minor axes of the ellipse are 2a and 2b. 7. Show that T = 2rab/h. 8. Show that = ed = . %3D GM 9. Show that T2 = a", which proves Kepler's Third Law
Let T be the period of a planet around the sun, that is, T is the time required for the planet to complete one revolution around the sun, through its elliptical orbit. Assume that the lengths of the major and minor axes of the ellipse are 2a and 2b. 7. Show that T = 2rab/h. 8. Show that = ed = . %3D GM 9. Show that T2 = a", which proves Kepler's Third Law
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![Let T be the period of a planet around the sun, that is, T is the time required for the planet to
complete one revolution around the sun, through its elliptical orbit. Assume that the lengths
of the major and minor axes of the ellipse are 2a and 2b.
7. Show that T = 2rab/h.
8.
Show that
GM = ed = .
9.
Show that T2 = a, which proves Kepler's Third Law](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fdea3dd-f249-4dc2-af82-9d8ab2ce8272%2F3e01c38d-908b-441e-8722-cf81a0278aa5%2Fooyz07v_processed.png&w=3840&q=75)
Transcribed Image Text:Let T be the period of a planet around the sun, that is, T is the time required for the planet to
complete one revolution around the sun, through its elliptical orbit. Assume that the lengths
of the major and minor axes of the ellipse are 2a and 2b.
7. Show that T = 2rab/h.
8.
Show that
GM = ed = .
9.
Show that T2 = a, which proves Kepler's Third Law
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