Two Stars Orbit Their Common Center of Mass on Circular

question 68

Multiple Choice

Two stars orbit their common center of mass on circular orbits.Star A is four times more massive than star B.How do their orbital periods compare to each other?

• A) Star A has a longer orbital period than star B.
• B) Star B has a longer orbital period than star A.
• C) They are the same.
• D) The orbital periods cannot be determined without knowing their initial velocities.

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Definitions:

Demand Function

A mathematical representation that describes the relationship between the quantity demanded of a good and its price, alongside possible other variables like income or prices of related goods.

Quasilinear Utility

A utility function where one good (usually money) enters linearly and therefore preferences for other goods are independent of the amount of money.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, indicating the good's sensitivity to price changes.

Income Elasticity

A measure of how much the demand for a good or service changes in response to changes in the consumer's income.