Question 409: Gravitation

Question

A planet moving along an elliptical orbit is closest to the sun at a distance r
1
and farthest away at a distance of r
2
. If $v$
1
and $v$
2
are the linear velocities at these points respectively, then the ratio ${{{v_1}} \over {{v_2}}}$ is

Accepted Answer

Angular momentum is conserved
$ 	herefore $  L
1
= L
2
$ \Rightarrow $ mr
1
v
1
= mr
2
v
2
$ \Rightarrow $  r
1
v
1
= r
2
v
2
$ \Rightarrow {{{v_1}} \over {{v_2}}} = {{{r_2}} \over {{r_1}}}$

Answer

(r
1
/r
2
)
2

Answer

r
2
/r
1

Answer

(r
2
/r
1
)
2

Answer

r
1
/r
2

Gravitation

A planet moving along an elliptical orbit is closest to the sun at a distance r 1 and farthest away at a distance of r 2 . If v 1 and v 2 are the linear velocities at these points respectively, then the ratio {{{v_1}} \over {{v_2}}} is

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