You Have Discovered a Star System Consisting of Three Equally

question 87

Multiple Choice

You have discovered a star system consisting of three equally spaced stars of equal mass arranged in a straight line. The two outermost stars, Zenith and Nadir, revolve synchronously around the central star, Janus. What is the period of revolution for this system in terms of M, the mass of each of the stars, and R, the radius of the circular orbit of Zenith and Nadir?

• A) [2πR^3/2/(GM)^1/2] × (3/2)^1/2
• B) [2πR^3/2/(GM)^1/2] × (2/3)^1/2
• C) [2πR^3/2/(GM)^1/2] × (4/5)^1/2
• D) [2πR^3/2/(GM)^1/2] × (5/4)^1/2
• E) [2πR^3/2/(GM)^1/2] × (7/5)^1/2

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Definitions:

Anticline

A type of fold in the Earth's crust characterized by an arch-like shape where the oldest rock layers are at the center of the fold, usually formed by compressional tectonic forces.

Syncline

A fold in rock layers where the youngest layers are closer to the center of the structure, typically shaped like a trough.

Limestone

A sedimentary rock composed primarily of calcium carbonate (CaCO3) in the form of the mineral calcite, often formed from the skeletal fragments of marine organisms.

Sandstone

A sedimentary rock composed mostly of sand-sized minerals or rock grains.