Trying to make a calculation and I ran into the following diff equation:(adsbygoogle = window.adsbygoogle || []).push({});

r''=a+b/r^2

And I can't seem to remember how one would go about solving it.

b = 1355041.84

r(0) = 1400

r(t) = 239.6

r'(o) = 0

r'(t) = 75.2

a = ?

I'm specifically looking to find the value of the constant a. If someone could drop off a quick solution that would be great!

(Note: this is part of an attempt to calculate the maximum acceleration of a starship from a video game cutscene as it approaches a small(is) object with a powerful gravity field)

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# Ran into this differential equation, got stuck

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