Re: Suggestions! (new)
Posted: Sun Mar 27, 2016 12:08 pm
[quote][quote]If and only if the derivative of the distance between two objects (dr/dt) was in exactly the direction same as the distance between the two objects r/[quote]
I think this is not correct.
The derivative of distance is always in the same direction as the distance itself because distance is a scalar.
The derivative of distance is already the component of relative velocity in the direction of the distance, so there is no need to say "If they are in the exact same direction"; by definition they already are./quote]
I just realized that I should have said that if the speed that the objects are moving relative to each other is in exactly the same direction as the distance between the two objects. If the speed the objects are moving relative to each other is in exactly the same direction as the distance between the objects then speed the that the two objects are moving relative to each other is the same as the derivative of the distance between the two objects (dr/dt) but if the speed two objects have relative to each other is in a different direction from the direction of the distance then the speed the two objects have relative to each other is not the same as the derivative of the distance (dr/dt). If there is no overlap between the direction of the speed the two objects have relative to each other with the direction of the distance between the two objects then no gravitons can be exchanged between the objects and so the gravitational force between the objects is 0. If there is some overlap between direction of the speed that two objects are moving relative to each other and the direction of the distance between the two objects then how often gravitons can be exchanged between the two objects depends on how much the directions overlap so the force depends on how much the directions overlap.
I think this is not correct.
The derivative of distance is always in the same direction as the distance itself because distance is a scalar.
The derivative of distance is already the component of relative velocity in the direction of the distance, so there is no need to say "If they are in the exact same direction"; by definition they already are./quote]
I just realized that I should have said that if the speed that the objects are moving relative to each other is in exactly the same direction as the distance between the two objects. If the speed the objects are moving relative to each other is in exactly the same direction as the distance between the objects then speed the that the two objects are moving relative to each other is the same as the derivative of the distance between the two objects (dr/dt) but if the speed two objects have relative to each other is in a different direction from the direction of the distance then the speed the two objects have relative to each other is not the same as the derivative of the distance (dr/dt). If there is no overlap between the direction of the speed the two objects have relative to each other with the direction of the distance between the two objects then no gravitons can be exchanged between the objects and so the gravitational force between the objects is 0. If there is some overlap between direction of the speed that two objects are moving relative to each other and the direction of the distance between the two objects then how often gravitons can be exchanged between the two objects depends on how much the directions overlap so the force depends on how much the directions overlap.