Variable gravitational acceleration

Thread starter niteman555
Start date Jun 8, 2011
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Acceleration Gravitational Gravitational acceleration Variable

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To derive the motion of two massive bodies in isolated space, one can combine gravitational fields with kinematic equations using calculus. The force equation can be expressed as m1(dv1/dt) = (G m1 m2) / r^2, where r represents the distance between the two masses. A similar equation applies for the second mass, m2. This approach allows for the calculation of their motion under the influence of their mutual gravitational attraction. Understanding this relationship is crucial for accurately modeling gravitational interactions.

Jun 8, 2011

niteman555

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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Jun 9, 2011

piyushkumar

one can do it with calculus.
write the force equation as m1\frac{dv1}{dt}=\frac{G m1 m2}{r*r}, where r is distance b/w them. Similarly for m2

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