how about just accelerate badecker at the speed of light towards our own sun.
in short. badecker burns up in 499seconds.
As usual. Oh, well. We're getting used to it, right?
Accelerating at the speed of light is talking about accelerating
TO velocities way beyond the speed of light. Both, the speed of the Solar System through space, and the reversal in time have something to do with things.
The Solar System is moving through space about a 143 miles a second. If you sent
BADecker towards the sun at the simple velocity of the speed of light - assuming you were sending him from Earth towards - it would take about 8.6 minutes for him to get to the Sun. And depending on the point of the sun you had aimed him at, he might even miss it altogether... depending on how far the sun moved.
If you want
BADecker to get to the Sun, you have to send him toward the spot the Sun will be at when he gets there. This isn't so easy to calculate. Scientists and astronomers have a difficult time calculating this stuff for rockets and satellites. Lots of things come into play, including Earth rotation speed at the place on Earth you launch him from.
Then, when you throw in the speed of light
acceleration rather than just velocity, you have
BADecker going backwards in time, and possibly at a terrific rate of backwards time movement (See Einstein's Relativity Theory.). This means that you have to calculate how far back in time he will go so you can aim him at the place the sun was when he would get back there.
You better take a course in simple celestial mechanics before you start blabbing about something that you don't seem to know anything about.
Ah, the General Theory.
May I suggest, that the entire theory breaks down when considering the measured speeds of objects/people running away from The Badecker?
This is a "Runaway speed phenomena."
Well, actually, if you are running away from
BADecker, this might actually send him further into the past with regard to you... if you are running the exact opposite of the direction he is accelerating towards. If you are running laterally from
BADecker, there could be all kinds of time vectors (as well as space vectors) that might come into play... at least concerning your past relationship to
BADecker. But it might not be substantial regarding
BADecker'srelationship with a past position of the Sun.
However, in all of this, we don't have any practical measurements outside of atomic clocks on jets to suggest what might happen. When considering an acceleration at the speed of light, quantum mechanics might introduce all kinds of interesting phenomenon.