In discussion, you derived the formula for the peak radial velocity introduced on a star from an orbiting exoplanet. Here is one version of this relationship:
‘Where v is in meters/second (m/s), MP is in Earth masses, MS is in Solar masses and P is in Earth years.’
First, calculate the peak radial velocity introduced by a 1 Earth mass planet on a 1 solar mass star with a period of 1 year, assuming an edge-on orbit. Answer in m/s, but do not include the units in your answer.
1. Now, calculate the peak radial velocity introduced on a Sun-like star by a planet identical to Jupiter, again assuming an edge-on orbit. You will need to look up the mass of Jupiter and covert it to earth masses, and look up the orbital period of Jupiter. Answer in m/s without the units.
1. Based on the equation in Question 1, which of the following scenarios would result in the largest peak radial velocity? Assume all are in an edge-on orbit.
A. “Massive star, massive planet, large orbital period.”
B. “Massive star, small planet, short orbital period.”
D. “Massive star, small planet, short orbital period.”
E. “Small star, small planet, short orbital period.”
F. “Small star, massive planet, short orbital period.”
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