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An orbital resonance occurs when one moon's orbital period is a simple fraction of the other's, such as [tex]\frac{1}{2}[/tex], [tex]\frac{1}{3}[/tex], or [tex]\frac{1}{4}[/tex].

A. True
B. False

Answer :

The statement is true; an orbital resonance occurs when two objects orbiting a third body have periods of revolution that are exact ratios of each other, leading to periodic gravitational interactions and influencing the orbits of those objects.

The statement that an orbital resonance occurs when one moon's orbital period is a simple fraction of the other's, such as 1/2 or 1/3 or 1/4, is true. An example of this can be observed in Saturn's rings, where the gravitational resonances with moons cause gaps and the depletion of ring material. A resonance happens when two objects orbiting a third body have periods of revolution that are exact ratios, like 1:2 or 2:3, leading to periodic gravitational perturbations.

One well-known instance of orbital resonance involves the moons of Jupiter. The innermost moon, Io, exhibits a resonance with the other moons as their orbits have stable, repeating patterns based on their relative positions and the periods at which they orbit Jupiter.

It's also worth mentioning that the Moon's orbital mechanics, like its 1:1 rotations to revolutions ratio, demonstrate the tightly coupled nature of celestial mechanics, showing an intricate dance between gravitational forces and motion in space.

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