How Do Gravitational Forces Vary with Distance on a Neutron Star?

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SUMMARY

The discussion focuses on calculating the gravitational forces acting on two point masses positioned 1 cm apart above the surface of a neutron star, characterized by its radius R and mass M. Using Newton's law of gravity, participants are encouraged to derive an expression for the ratio of gravitational forces on the lower mass compared to the upper mass. The conversation emphasizes the importance of formulating the gravitational force equations for both masses to facilitate the ratio calculation.

PREREQUISITES
  • Newton's law of universal gravitation
  • Basic principles of gravitational force
  • Understanding of mass and distance in gravitational contexts
  • Mathematical skills for deriving ratios
NEXT STEPS
  • Study the derivation of gravitational force equations using Newton's law
  • Explore the effects of distance on gravitational force in astrophysical contexts
  • Learn about the properties of neutron stars, including mass and radius
  • Investigate gravitational field strength calculations near massive bodies
USEFUL FOR

Students and professionals in physics, astrophysics researchers, and anyone interested in gravitational dynamics near neutron stars.

ps2983
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I am terrible at finding ratios, so I was wodering if someone can help me with this problem.

Consider two point masses, each having mass m, that are separated vertically by a distance of 1cm just above the surface of a neutron star of radius R and mass M. Using Newton's law of gravity, find an expression for the ratio of the gravitational force on the lower mass to that on the upper mass.

Any help will be greatly appriciated.
 
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Well, clearly the first thing you ought to do is right down an expression for the force on each particle, right?
 

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