Spherical stars

Classical Mechanics Level 2

A binary system is formed by two spherical stars of respective masses $m$ and $M$ , whose centers are d from each other, each describing a circular motion around of the center of mass of this system. With mass star m in position shown In the figure, due to the Doppler effect, an Earth $T$ observer detects a ray of the hydrogen spectrum emitted by this star at a frequency f slightly different from its natural frequency $f_0$ . Consider the Earth at rest relative to the center of mass of the system and that the motion of the stars occurs in the same plane of observation. Since the velocities of the stars are much lower than $c$ , tick the alternative that spells out the absolute value of $\frac{(f - f_0)}{f_0}$ . If necessary, use $(1 + x)^n \approx 1 + nx$ for $x << 1.$

\sqrt{GM^2.sin^2 \alpha/[d(M+m)c^2]}

\sqrt{GM^2.cos^2 \alpha/[d(M+m)c^2]}

\sqrt{GM^2/[d(M+m)c^2]}

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Go!Game Rj
Nov 23, 2019

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Spherical stars

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