A small asteroid is orbiting around the sun in a circular orbit of radius $r_{0}$ with speed $V_{o}$ . A rocket is launched from the asteroid with speed $V = α V_{o}$ , 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 effects of other planets)

Question

A small asteroid is orbiting around the sun in a circular orbit of radius

r_{0}

with speed

V_{o}

. A rocket is launched from the asteroid with speed

V = α V_{o}

, 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 effects of other planets)

Toppr Admin · Accepted Answer

For rocket to remain bounded the max value of -x3B1- can be found by using m-x3B1-Vo-22-GMmro-mv2oso -x3B1-x221A-2