jeudi 16 janvier 2014

Orbital Velocity and Time

Picture a black hole/star pair at a distance of 10 megaparsec. The orbits of them have a low eccentricity and are in a the plane of our line of sight, so they pass one in front of the other. According to Hubble's Law, the pair should appear to be receding away from us based on redshift at around 680-700 kilometers/second. Also imagine that the average orbital speed of the star around the black hole is about 680-700 k/s.



When the star's position is such that it is coming around toward us, the net velocity as we see it should be near zero. When it is on the opposite side of the black hole, and headed toward the far side, its velocity should be around 1360-1400 k/s.



1) Does the apparent redshift of light from the star correspond to this velocity difference? I.e. Does redshift regularly shift from zero to the equivalent of something moving away at 1400 k/s then back to zero?



2) Does it take the star longer to move from the nearest point to us to the farthest point to us than it takes to move from the farthest point to us to the nearest point to us in its orbit due to time dilation?





via JREF Forum http://ift.tt/1dyKaW3

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