Gravitation of moving objects

In summary, the effective force between two objects, with masses m1 and m2 and separated by a distance r, both moving in the same direction with relativistic velocity v, can be calculated using Special Relativity and a Lorentz transformation from the force in the rest frame. This is equivalent to a force due to a spring or similar.
  • #1
johank
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Assuming a flat, static spacetime, what would the effective force between two objects, with mass m1 and m2 respectively, separated by a distance r from one another, both moving in the same direction with relativistic velocity v, be ?
 
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  • #2
johank said:
Assuming a flat, static spacetime, what would the effective force between two objects, with mass m1 and m2 respectively, separated by a distance r from one another, both moving in the same direction with relativistic velocity v, be ?

For that simple case you can just use Special Relativity and use a Lorentz transformation from the force in the rest frame. It's just the same as if the force were due to a spring or similar.
 

FAQ: Gravitation of moving objects

What is the definition of "gravitation of moving objects"?

The gravitation of moving objects refers to the gravitational pull or force between two or more objects that are in motion. This force is determined by the mass and distance between the objects, as described by Newton's Law of Universal Gravitation.

How does the gravitation of moving objects affect the motion of planets in our solar system?

The gravitation of moving objects, specifically the gravitational pull of the sun, is responsible for the orbit of planets in our solar system. The sun's large mass exerts a strong gravitational force, keeping the planets in their respective orbits.

How does the concept of relativity relate to the gravitation of moving objects?

According to Einstein's theory of relativity, gravity is not a force between two objects, but rather a result of the curvature of space-time caused by the presence of mass. This means that the gravitation of moving objects can be explained by the warping of space-time around them.

Can the gravitation of moving objects be observed on a smaller scale, such as with objects on Earth?

Yes, the gravitation of moving objects can be observed on a smaller scale, such as with objects on Earth. This is evident in the acceleration of objects towards the Earth's center, known as gravity, which is caused by the Earth's mass.

How does the gravitation of moving objects affect the concept of time?

The gravitation of moving objects can affect the concept of time through the phenomenon of time dilation. According to Einstein's theory of relativity, time moves slower in stronger gravitational fields. This means that time passes at a slightly slower rate on Earth's surface compared to higher altitudes, due to the Earth's stronger gravitational pull.

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