How Does Newton's Shell Theorem Affect Gravitational Force on Earth?

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SUMMARY

The discussion centers on Newton's Shell Theorem and its implications for gravitational force experienced by objects within a spherical shell, specifically in the context of a person standing on Earth. The Shell Theorem states that a uniform spherical shell of mass exerts no net gravitational force on an object located inside it. This principle is crucial for understanding gravitational interactions in astrophysics and is foundational for calculations involving celestial bodies.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational force equations
  • Basic knowledge of spherical geometry
  • Concept of mass distribution in physics
NEXT STEPS
  • Study the derivation of Newton's Shell Theorem
  • Explore gravitational force calculations for objects inside spherical shells
  • Learn about applications of the Shell Theorem in astrophysics
  • Investigate the implications of the Shell Theorem for planetary formation theories
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and astrophysicists analyzing gravitational interactions in celestial mechanics.

adp5025
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hello all,
I was looking for the equation for the shell therom.
general expression for the magnitude of the gravitational force

but the one were the one sphear is inside the other, such as a person on the earth.
 
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adp5025 said:
hello all,
I was looking for the equation for the shell therom.
general expression for the magnitude of the gravitational force

but the one were the one sphear is inside the other, such as a person on the earth.
Have a look at http://www.kineticbooks.com/physics/trialpse/13_Gravity%20and%20Orbits/06/sp.html" .

AM
 
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