Moonlight is sunlight reflected. A star of our Sun's size is typical. The galaxy that houses our Solar System is called the Milky Way.
In the Milky Way Galaxy, which has hundreds of billions of stars, our Sun is but one common star. Electromagnetic radiation from the sun, both visible and invisible, includes heat. Due to the moon's low degree of reflection, very little of the incident "light" that hit the moon is reflected back to the earth. Because we refer to anything connected to our star by the adjective "solar," which comes from the Latin word "solis," our planetary system is known as "the solar system." Our solar system is situated in the Milky Way galaxy's outer spiral arm.
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