Two Bodies, One of Mass M and the Other of Mass

question 28

Multiple Choice

Two bodies, one of mass M and the other of mass m, are subject only to their mutual gravitational attraction. One possible motion is for both of them to revolve in concentric circles about their center of mass. What is the connection between the period of the revolutions and the separation R between the two bodies in this case?

• A) 2πR^3/2/[G(M+m)]^1/2
• B) 2πR^3/2(M+m)^1/2/(GMm)^1/2
• C) 2πR^3/2(M+m)^1/2/[G(M²+m²)]^1/2
• D) 2πR^3/2(M+m)/(G)^1/2 (Mm)^3/4
• E) 4πR^3/2(M+m)/(G)^1/2 (Mm)^3/4

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Definitions:

Bond B

An investment product representing a loan made by an investor to a borrower, typically corporate or governmental, with specific terms for interest payments and principal return.

Yield To Maturity

The total return anticipated on a bond if the bond is held until its maturity date.

Bond B

A reference to a specific bond investment, often denoted for classification or tracking purposes.

Current Yield

The annual income (interest or dividends) divided by the current price of the security, often used in assessing bonds and other fixed-income investments.