Special Cases for Gravity Force Inside Solid Objects

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SUMMARY

The discussion centers on the application of the shell theorem and gravitational forces within solid objects, specifically addressing the behavior of gravity inside ellipsoids and disks. It confirms that the gravitational force remains zero inside a spherical shell, as per the shell theorem. Additionally, it explores the effects of varying densities in a multi-layered spherical solid, particularly focusing on the gravitational force within the middle layer of lower density and mass. These insights are crucial for understanding gravitational interactions in complex geometries.

PREREQUISITES
  • Understanding of the shell theorem in gravitational physics
  • Knowledge of gravitational force calculations
  • Familiarity with concepts of density and mass distribution
  • Basic principles of solid geometry
NEXT STEPS
  • Research the gravitational effects of ellipsoids using the shell theorem
  • Study the gravitational force in multi-layered spherical objects with varying densities
  • Explore advanced gravitational models in non-spherical geometries
  • Examine the implications of gravitational forces in astrophysical contexts
USEFUL FOR

Physics students, gravitational physicists, and anyone interested in the complexities of gravitational forces within solid objects will benefit from this discussion.

dougettinger
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I know about the shell theorem and that the force of gravity due to the mass of the spherical shell is zero inside. I have some questions that may easily be answered for other special cases using the shell theorem and the law of gravity.

1. Does this same conclusion hold for an ellipsoid and/or a disk with the shell on the exterior perimeter ?

2. How is the gravity force inside a spherical solid affected if it has two layers and a central core all with different but homogeneous densities ? Especially inside the middle layer that has the least density and least mass ?

Thoughtfully, Doug Ettinger
 
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