Gravitation independnet of motion/momentum?

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SUMMARY

This discussion centers on the relationship between gravitational force and the motion of masses within a gravitational field. The participants clarify that gravitational force, described by the equation F(t) = Gm1m2/r(t)^2, is instantaneous and depends solely on the mass and distance, not on the velocity or momentum of the objects involved. They emphasize that Newton's third law applies to the interaction between two masses, where the gravitational force acts at their centers of mass. The conversation concludes that variations in momentum do not affect the gravitational force experienced by a mass at a specific radius.

PREREQUISITES
  • Understanding of Newton's laws of motion, particularly Newton's third law
  • Familiarity with gravitational force equations, specifically F = Gm1m2/r^2
  • Basic knowledge of classical mechanics and gravitational interactions
  • Concept of center of mass in physics
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  • Study the implications of Newton's third law in gravitational interactions
  • Explore the concept of gravitational fields and their properties
  • Investigate general relativity and its treatment of gravity and momentum
  • Learn about the differences between classical mechanics and relativistic physics
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Physics students, educators, and anyone interested in understanding gravitational forces and their effects on moving masses in a gravitational field.

  • #31
If you want to avoid action at a distance, but still want momentum conservation, the you have treat the field as an object that carries momentum. But the force is still independent of the motion.
 
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  • #32
OK, so assigning the reaction forces to the field momentum... then at the two objects' locations there are two forces, the gravitational force applied by the field to the object, and the object's inertial resistance to acceleration applied back to the field.

So that disposes of bare "action at a distance", but it does that by putting in its place "maintenance of a field at a distance"...

So the field is being "pushed" by the object's reaction, and the field is being pushed oppositely and equally by the other object's reaction, and since the field is a sum of the two objects' fields, the net is balanced... the 3rd law.

Is that it?
 

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