The most efficient way to send a spacecratt from the earth to another planet is by using a Hohmann transfer orbit $($the figure $($Figure $1).$ If the orbits of the departure and destination planets are circular, the Hohmann transfer ortit is an elliptical orbit whose perihelion and aphelion are tangent to the orbits of the two planet. The rochets are fred briefly at the departure planet to put the spacecrat into the transfer orbit, the spacecratt then coasts until it reaches the destination planet. The rockets are then fired again to put the spacecrat into the same orbit about the sun as the destination planet

Part B

How long does a one$-$way trip from the the earth to Mars take, between the firings of the rockets?

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Part C

To reach Mars from the earth, the launch must be timed so that Mars will be at the right spot when the spacecraft reaches Mars's orbit around the sunt: At launch, what must the angle between a sun$-$Mars line and a sun$-$earth line be$?$ Express your answer in degrees.

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