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fishinbro321

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**Moon --> Earth (Gravitational Pull... help please any comment welcome!**

## Homework Statement

At what distance (AU) does a spacecraft leaving the gravity of the Earth traveling toward the moon balance the gravity of the moon? I.E. What distance in (AU) will the object begin being affected by the Moon's gravity and not that of the Earth's strong gravity?

Earth Mass 5.9 x 10 24/pwr kg

Earth Gravitational Parameter, Gm earth: 3.986004418 x 10 12/pwr km/squared

Earths Eccentricity: .081819301

Moon Mass 7.3 x 10 22/pwr kg

Moon Gravitational field Parameter: J2= +0.02027 x 10/-3pwr

Distance between the Earth and the moon: 7.84 x 10 8/pwr meters

## Homework Equations

Earth gravitational pull = 0? (At what point?)

Moon gravition pull = 0 (At what point?)

Example: Apollo 13, system failure. Astronaut had to do one last safe burn to enter a safe Earth orbit in order to avoid spinning out into infinity.

## The Attempt at a Solution

I am struggling writing (pwr) in this blog if someone can tip me off on how to write them I can give my progress on this problem! Thanks for those interested parties that provide feedback, positive, negative or troll!

-James

Space Coast, FL