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<blockquote data-quote="tomBitonti" data-source="post: 7487739" data-attributes="member: 13107">Re: what angle to push the asteroid.&nbsp; If the earth has motion perpendicular to the asteroid, the angle appears different if you examine it the frame of reference which is moving with the earth vs the angle in a sun centered frame of reference.Put it like this:&nbsp; Earth towards the bottom, moving upwards.&nbsp; Asteroid to the right, moving to the left.&nbsp; Paths intersect in the top left.&nbsp; That’s the solar view.&nbsp; The view moving with the earth simply has the earth to the left and the asteroid to the right, with the asteroid moving directly leftwards towards the earth.In the earth centric view, a perpendicular push on the asteroid points directly down.&nbsp; Translating that into the sun centric view, the push is no longer perpendicular to the motion of the moon.&nbsp; If the earth is moving at the same speed as the asteroid, the angle in a solar frame seems to be 45 degrees.&nbsp; If the earth is moving at half the speed, 30 degrees, and if at twice the speed, 60 degrees.&nbsp; As a check, if the earth is still, the angle is the same, and if the earth is moving a lot (10x) faster the angle gets close to 90 degrees.&nbsp; In which case you really are mostly speeding up or slowing down the asteroid — just in the sun centric view.This is meant to unify the two perspective: Both are correct.Thx!TomB</blockquote>

[QUOTE="tomBitonti, post: 7487739, member: 13107"] Re: what angle to push the asteroid. If the earth has motion perpendicular to the asteroid, the angle appears different if you examine it the frame of reference which is moving with the earth vs the angle in a sun centered frame of reference. Put it like this: Earth towards the bottom, moving upwards. Asteroid to the right, moving to the left. Paths intersect in the top left. That’s the solar view. The view moving with the earth simply has the earth to the left and the asteroid to the right, with the asteroid moving directly leftwards towards the earth. In the earth centric view, a perpendicular push on the asteroid points directly down. Translating that into the sun centric view, the push is no longer perpendicular to the motion of the moon. If the earth is moving at the same speed as the asteroid, the angle in a solar frame seems to be 45 degrees. If the earth is moving at half the speed, 30 degrees, and if at twice the speed, 60 degrees. As a check, if the earth is still, the angle is the same, and if the earth is moving a lot (10x) faster the angle gets close to 90 degrees. In which case you really are mostly speeding up or slowing down the asteroid — just in the sun centric view. This is meant to unify the two perspective: Both are correct. Thx! TomB [/QUOTE]

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