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Lost planet 2 mech7/2/2023 The new orbit will be an ellipse, and the question is whether the new orbit intersects the Earth's surface. The satellites are in circular orbits (dotted line) at a distance $r$ from the centre of the Earth, so their orbital velocity as (as you say):Īssuming the two satellites stick to each other when they collide you end up with a single 500kg mass of twisted metal moving at some velocity $v'$ that is less than $v$. This diagram shows the problem (I've exaggerated the altitude of the satellite to make the diagram clearer): Unless I'm missing an easy way to do this problem it seems a surprisingly hard one.
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