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Is it conceivable that if we propel a rocket ship towards a spinning planet (with no interfering atmosphere) and shut the engines off, that the ship will fall into the planet and encounter a surface in front whizzing by at its tangential speed?
If so, then when we drop things they should fall at an angle.
a gravitational pathway is moving tangentially along with the spin of the earth all the while aiming toward its center. If gravitational pathways remains straight inward with no regard to spin, downward fall is deviated towards the opposite direction of spin.
a perpendicular gravitational pathway is a gravitational pathway.
Just consider perpendicular fall. Around a large non-rotating mass objects are deviated towards a direct perpendicular fall.
Any lateral motion is being lost
My point is that rotating masses perpendicular falls are spirals. This way they can hit the surface of the rotating mass in a perpendicular fashion. The spirals lateral speed must be equal to the tangential speed of the surface of the rotating mass.
That is why we see a flat rotation curve. The more mass in the center of a rotating galaxy the sooner the surrounding stars will reach their perpendicular direction (spiral) and the further the outreach of the flat rotation curve.
Bodies travelling about a large mass are pulled in by gravitational forces. They are forced to curve in. They are forced to curve in. They lose left and right lateral speed while they change their heading inward. Eventually their direction is directly inward perpendicularly to the large mass. The greater the mass the sooner falling bodies achieve their direct heading.
If you hold a rope attached to a ball that is travelling above you to the right, as it passes above you the rope inflicts an angular pull. vector components are down and left. right lateral speed is reduced.If the ball is travelling left, your pull on the rope will inflict angular pull of down and right. left lateral speed is reduced.Keep pulling on the rope and eventually the ball is travelling directly downward and cannot deviate right or left because pull forces keep it in check.If we hold a balloon filled with helium over our head and pull it downward. That downward direction is always aimed towards the center of the earth, but the balloon has a tangential speed around the rotation of the earth. It continues to alter its direction so that it maintains its inward perpendicular direction. Can this process not occur at other distances away from the surface. A body in fall aimed directly towards the center of a mass and that continuously maintains a lateral speed equal to the tangential speed of the rotating mass is in a perpendicular fall. If the tangential speed is 0, then lateral speed is 0 and we see a straight pathway. The greater the spin rate the greater the curvature of the spiral.
So how can you expect a perpendicular collision if we have a rotating mass and no lateral motion from the body above.
I would bet that there is a direct correlation with the spin rate of the spinning cores of galaxies to the lateral speeds of stars within its flat rotation curve.