Variable gravitational acceleration

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SUMMARY

The discussion focuses on deriving the motion of two massive bodies in an isolated space by combining gravitational fields with kinematic equations using calculus. The force equation is established as m1(dv1/dt) = (G m1 m2) / r², where r represents the distance between the two bodies. A similar equation applies for the second mass, m2. This approach effectively integrates Newton's law of universal gravitation with the principles of motion.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with calculus, particularly differentiation
  • Knowledge of kinematic equations
  • Basic concepts of force and mass in physics
NEXT STEPS
  • Study the derivation of gravitational force equations in classical mechanics
  • Explore advanced calculus techniques for motion analysis
  • Investigate the implications of variable gravitational acceleration in astrophysics
  • Learn about numerical methods for simulating gravitational interactions
USEFUL FOR

Physics students, astrophysicists, and anyone interested in understanding the dynamics of gravitational interactions between massive bodies.

niteman555
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If there are two massive bodies in an isolated space, how does one derive the formula describing their motion, in other words, how do I combine the gravitational field and kinematic equations into one?
 
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one can do it with calculus.
write the force equation as m1[itex]\frac{dv1}{dt}[/itex]=[itex]\frac{G m1 m2}{r*r}[/itex], where r is distance b/w them. Similarly for m2
 

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