5 Minutes

How long will it take for a rocket to leave Earth and journey to Mars? Assume that the distance from Mars to the Sun is 1.52 a.u., and from Earth to the Sun is 1 a.u. Click on the correct answer.

HINT:

1. Use Kepler's Third Law of Planetary Motion that tells us the time period for a planet to make one revolution about the Sun - a year for that particular planet - can be related to its distance from the Sun in astronomical units. With these units, Kepler's Third Law can be stated as P2=a3, where P equals the planet's period of motion and a equals half of the sum of the distances to the Sun, called the semi major axis.

2. Remember, our rocket will travel one-half of a revolution of the new orbit. This would be from the perihelion point (where the rocket leaves the Earth's orbit) to the aphelion point (where the rocket reaches the orbit of its meeting with the new planet or satellite).

A) 14.1 years

B) 0.141 years

C) 0.71 years

D) 8.5 days
HELP

Please send any comments to:
Curator:
Tom.Benson@grc.nasa.gov
Responsible Official: Kathy.Zona@grc.nasa.gov