How do you find the gravitational potential of two masses for any position around them that is outside the masses?  Specifically, take the Earth and the Moon as an example.  We need big masses like these because G is so small.  Gravity is very weak.  When we do electricity, we can work with smaller amounts of matter and smaller distances because electrical forces are stronger than gravitational forces.  Here are the

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
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Problem 3PQ: Review A system consists of a planet and a star, with the planet in an elliptical orbit. As the...
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1.  How do you find the gravitational potential of two masses for any position around them that is outside the masses?  Specifically, take the Earth and the Moon as an example.  We need big masses like these because G is so small.  Gravity is very weak.  When we do electricity, we can work with smaller amounts of matter and smaller distances because electrical forces are stronger than gravitational forces.  Here are the numbers

https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html

 

MEarth = 5.97 × 1024 kg   (Mass of Earth)

MMoon = 7.35 × 1022 kg     (mass of Moon)

RE-M = 3.85 × 108 m    (average separation of Earth and Moon centers)

REarth = 6.378 × 106 m  (radius of Earth)

RMoon = 1.738 × 106 m  (radius of Moon)

 

 

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