Answered: (Astronomy) PSR1913+16 Problem III.…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 61PQ: A stellar black hole may form when a massive star dies. The mass of the star collapses down to a...

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(Astronomy)

PSR1913+16 Problem III.

As the shape of the graph shown is not skewed, the orbit can be assumed circular. Also assume the system is viewed edge-on (that is, the orbital system is not inclined to the observer). Using these assumptions, the maximum radial velocities, and the orbital period T = 7.75 hours, find the orbital radii of the stars from the center of mass. (Hints: The figures below may be helpful. Use v = 2πr/P, where v is velocity, P is period, and r is radius. Note: redshifts have positive radial velocities values in the upper figure, whereas blueshifts have negative radial velocity values.)

100
-100
-200
-300
5
10
Time (hours)
Pulsar
Center of mass
(a) The radial velocity of pulsar PSR 1913+16 can be found from the Dop-
pler shifts in its pulsation. (b) Analysis of the radial velocity curve allows
astronomers to determine the pulsar's orbit. Here the center of mass does
not appear to be at a focus of the elliptical orbit because the orbit is
inclined to the line of sight from Earth.
Radlal velocity (km/s)

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