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Gravitation: launching a craft out of the solar system.
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[QUOTE="Wavefunction, post: 4673207, member: 503148"] Actually I just realized the answer to part B) lies in the gravitational slingshot: in the reference frame where the planet is still the initial velocity of the craft is equal to the final velocity (well the magnitudes are equal, not the directions) [itex] \|\vec{v_c}\|=\|\vec{v'_c}\| [/itex] If the craft moves along with the planet (which is moving at velocity [itex]v_p[/itex] then [itex]\|\vec{v_p}+\vec{v_c}\|<\|\vec{v_p}+\vec{v'_c}\|[/itex] so in order to minimize [itex]Δv[/itex] I need to choose a planet with a high orbital velocity about the sun. So in the approximation that the planets are points masses Mars is the best choice. It also just occurred to me that if I were to use the result from part b the craft would crash directly into Mars since Mars is not a point mass and has surface area so I would need to use a more ecentric elliptical orbit in order to properly use the sling shot i.e increase the semi-major axis by increasing [itex]r_2[/itex] [/QUOTE]
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Gravitation: launching a craft out of the solar system.
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