Gravity & Momentum: Direction's Role in Observation

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The direction of movement does influence the gravitational effect on a distant observer, particularly in the context of General Relativity. While two masses of equal rest mass traveling at the same speed will exert similar gravitational forces at slow speeds, the scenario changes significantly at high velocities or with extremely massive objects like black holes. Gravitational waves may experience a Doppler effect due to the relative motion of masses, although classical gravity remains unaffected by direction. In linearized gravity, moving masses generate a gravitomagnetic field, which can interact with other moving masses similarly to how magnetic fields affect charges. Overall, the impact of direction becomes more pronounced under specific conditions, especially at relativistic speeds.
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does the direction of movement play a role in the gravitational effect on a distant observer.

Given two masses of equal rest mass. One traveling away from an observer and one traveling towards an observer both traveling at the same speed. Will both exert the same amount of gravity on the observer?
 
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Whatever i write here may be all crap.

If you consider slow speeds I don't think it will make much of a difference but maybe as the speeds increase "gravitational waves" ,as all other types of waves , may undergo the doppler effect.

But i don't think that's going to happen, gravity is just too different.
 
In classical gravity, no it will not matter. In General Relativity, it can. If the masses are really, really heavy, like black holes, or if they move close to the speed of light, yes, it will make a difference.

In linearized gravity, which is a good approximation for just about anything that isn't close to event horizon, a mass behaves like a charge in that a moving mass generates a so-called gravitomagnetic field. Just like magnetic field can deflect moving charges, gravitomagnetic field can deflect moving masses.
 
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