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A planet revolves around the sun with ha...

A planet revolves around the sun with half as fast as the earth revolves around the sun. Determine its orbital size as compared to that of the earth.

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To solve the problem of determining the orbital size of a planet that revolves around the sun at half the speed of the Earth, we can use Kepler's Third Law of Planetary Motion. This law states that the square of the time period (T) of a planet's orbit is directly proportional to the cube of the semi-major axis (A) of its orbit. Mathematically, this can be expressed as: \[ T^2 \propto A^3 \] ### Step-by-Step Solution: 1. **Understand the relationship between speed and time period**: - The problem states that the planet revolves around the sun at half the speed of the Earth. This means that the time period of the planet (T_p) is double that of the Earth (T_e). ...
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