Sagittarius A* has an estimated mass of 4.154 million solar masses. A number of stars have been found to orbit near Sagittarius A*.
What is the maximum time dilation factor for any of these orbiting stars (taking into account the mass of Sagittarius A*, but also the star itself, if possible)?
Does the amount of time dilation depend upon where in the elliptical orbit the star is, i.e. is time dilation maximized at the nearest point (the periapsis)?
