Consider a planet orbiting a sun-like star that has been detected by the doppler and that has an orbital period of one year. The larger the velocity changes measured for the star, the __________.



Answer :

The larger the velocity changes measured for the planet, the larger will be the mass of the star and smaller will be the orbit's radius.

v = √ ( G M / r )

v = Orbital velocity

G = Gravitational constant

M = Mass of the central body

r = Radius of orbit

v ∝ √ M

v ∝ 1 / √ r

From the above equation is is clear that velocity of the planet increases with the increase of star's mass and increases with the decrease of planet's orbital radius.

Therefore, the larger the velocity changes measured for the star, the larger will be the mass of the star and smaller will be the orbit's radius.

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