The brightness of a "young" star sometimes increases and decreases as a result of regional areas of “hot" and "cold" on the star's surface as well as variations in the density of the star's planet-forming debris, which can obstruct light. Suppose that for a particular star, the average magnitude (measure of brightness) is 4.3 with a variation of +0.31 (on the magnitude scale, brighter objects have a smaller magnitude than dimmer objects). Furthermore, the magnitude of a star is initially observed to be 4.61, and the time between minimum brightness and maximum brightness is 6.4 days. Write a simple harmonic motion model to describe the magnitude Mof the star for day t.

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Chapter1: Units, Trigonometry. And Vectors
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The brightness of a "young" star sometimes increases and decreases as a result of regional
areas of "hot" and "cold" on the star's surface as well as variations in the density of the star's
planet-forming debris, which can obstruct light. Suppose that for a particular star, the average
magnitude (measure of brightness) is 4.3 with a variation of ±0.31 (on the magnitude scale,
brighter objects have a smaller magnitude than dimmer objects). Furthermore, the magnitude of
a star is initially observed to be 4.61, and the time between minimum brightness and maximum
brightness is 6.4 days. Write a simple harmonic motion model to describe the magnitude Mof the
star for day t.
Transcribed Image Text:The brightness of a "young" star sometimes increases and decreases as a result of regional areas of "hot" and "cold" on the star's surface as well as variations in the density of the star's planet-forming debris, which can obstruct light. Suppose that for a particular star, the average magnitude (measure of brightness) is 4.3 with a variation of ±0.31 (on the magnitude scale, brighter objects have a smaller magnitude than dimmer objects). Furthermore, the magnitude of a star is initially observed to be 4.61, and the time between minimum brightness and maximum brightness is 6.4 days. Write a simple harmonic motion model to describe the magnitude Mof the star for day t.
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