A small asteroid is orbiting around the sun in a circular orbit of radius r0 with speed V0. A rocket is launched from the asteroid with speed V = αV0 where V is the speed relative to the sun. The highest value of α for which the rocket will remain bound to the solar system is (ignoring gravity due to the asteroid and effect of other planets) - VgyanHub

Question:

A small asteroid is orbiting around the sun in a circular orbit of radius r₀ with speed V₀. A rocket is launched from the asteroid with speed V = αV₀ where V is the speed relative to the sun. The highest value of α for which the rocket will remain bound to the solar system is (ignoring gravity due to the asteroid and effect of other planets)

Options :

(a) √2
(b) 2
(c) √3
(d) 1

Answer :

(d) 1

Answer Steps :

step 1

step 2

step 3

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