Formula for send and response times of messages at fraction of light speed?
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I have a ship that begins the equation traveling at 50 percent the speed of light, but decelerating constantly to finally land on a certain planet (towards which it is moving the entire time). It begins its journey 7.5 light years away from the planet, with which it is exchanging messages as rapidly as possible. I am wondering if there is a formula I can use to calculate how many messages they can send, and at what times/distances each will be sent (and received) by the time they arrive. Does this make sense? Is it even a sensible question?
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