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Vision Fitness X6000 Elliptical
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Vision Fitness X6000 Elliptical

Help with Keplers law and how many years a spacecraft takes to travel from one planet to another?

Are You know decision of this problem? A minimum-energy orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding to the perihelion of the ellipse, or closest point to the Sun, and the arrival planet corresponding to the aphelion of the ellipse, or farthest point from the Sun. (a) Use Kepler's third law to calculate how long it would take to go from Earth to Mars on such an orbit. So I know the average distance from the sun for Earth is 1.496X10^11 meters and Mars average distance is 2.28 X 10^11 meters. And I know Kepler's law is 4pi^2 / (G X Mass(sun)) all times distance^3 but im having trouble determining what i should use for distance since I am only given their average distances and not their closest and farthest distances from the sun. Please help!

In this case my opinion is Use the average distance. Kepler's Third Law specifically mentions the average distance in the orbits.

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