A comet of mass me is in an elliptical orbit around the sun (mass Mo), which is located at one focus of the ellipse. The comet is a distance ra from the sun at its greatest distance (aphelion) and rp at its closest pass (perihelion). Let G be the gravitational constant and recall that F(r) = GMm and Ug(r) = GMm 1. What physical concepts would you need in order to calculate the speed of the comet at aphelion and perihelion (va and vp)? 2. Apply these concepts to get two independent equations for the unknown quantities va and Up in terms of G, mc, Mo, Tp, and ra. You do not need to solve these equations.

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ין
re 0
ra
A comet of mass me is in an elliptical orbit around the sun (mass Mo), which is located
at one focus of the ellipse. The comet is a distance ra from the sun at its greatest distance
(aphelion) and rp at its closest pass (perihelion). Let G be the gravitational constant and recall
that F₁(r) = GMm and Ug(r) =
==
p²
GMm
r
1. What physical concepts would you need in order to calculate the speed of the comet at
aphelion and perihelion (va and vp)?
2. Apply these concepts to get two independent equations for the unknown quantities va and
Up in terms of G, mc, Mo, Tp, and rɑ. You do not need to solve these equations.
Transcribed Image Text:ין re 0 ra A comet of mass me is in an elliptical orbit around the sun (mass Mo), which is located at one focus of the ellipse. The comet is a distance ra from the sun at its greatest distance (aphelion) and rp at its closest pass (perihelion). Let G be the gravitational constant and recall that F₁(r) = GMm and Ug(r) = == p² GMm r 1. What physical concepts would you need in order to calculate the speed of the comet at aphelion and perihelion (va and vp)? 2. Apply these concepts to get two independent equations for the unknown quantities va and Up in terms of G, mc, Mo, Tp, and rɑ. You do not need to solve these equations.
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