I am doing a small project on Gamma Ray Bursts. I am looking at a data set of around a dozen bursts which are observed at an angular offset from their host galaxies (My theory is that they are in dwarf galaxies(adsbygoogle = window.adsbygoogle || []).push({}); orbitingthe host galaxy).

Say the average separation of these GRBs is 4 arcseconds from the hosts. This will not be therealseparation because the observations could have a line of sight component of separation which is unobservable. I am looking for a scale factor to multiply the observed quantities by.

At first I thought the observations would be scaled down by a factor of the average of sin x over a half cycle. This corresponds to the average of the angle which the burst can be to the plane perpendicular to the line of sight.

Then I though of the orbit as a circle somewhere around a sphere. I believe there are two separate axes of rotation for this circle which would decrease our observed separation. Leading to a downsizing factor of the average of (sin x)^2 over a half cycle.

I think the first one is correct but I have confused myself in the visualization. A convincing answer would be great.

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# Calculating physical separation of 2 sources at unknown angle.

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