Solution strategy for linearized gravity problem

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Jonsson said:
That is a good thing, because we are not interested in all null paths.

Isn't a photon trajectory a null path?

Jonsson said:
Yes, I agree these solve (*), but why is it important that you've found exactly one solution that don't interest us?

Because what I found isn't a geodesic but is a solution to (*). So (*) isn't a complete specification of the geodesic problem statement.

Jonsson said:
Can you propose some strategy that will work?

yes, solve the geodesic problem for the metric you've been given then transform the answer to the ##M## is in motion frame?
 
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Paul Colby said:
yes, solve the geodesic problem for the metric you've been given then transform the answer to the ##M## is in motion frame?

Thanks. I found the deflection angle is ##\frac{4GM}{b}##. How do you say I transform this quantity back?