When the Moon's phase is a "quarter Moon," the Earth, the Moon, and the Sun are at the vertices of a right triangle. (Assume that the origin is at the center of the Sun, with the +x-axis pointing from the Sun to the Earth and the +y-axis parallel to the vector from the Earth to the Moon.) (a) Find the center of mass of the Earth-Moon-Sun system during this phase of the Moon. (b) During an eclipse, when the Moon is directly between the Earth and the Sun, the center of mass of the system is inside the Sun. Use this to check and think about your result.
When the Moon's phase is a "quarter Moon," the Earth, the Moon, and the Sun are at the vertices of a right triangle. (Assume that the origin is at the center of the Sun, with the +x-axis pointing from the Sun to the Earth and the +y-axis parallel to the vector from the Earth to the Moon.) (a) Find the center of mass of the Earth-Moon-Sun system during this phase of the Moon. (b) During an eclipse, when the Moon is directly between the Earth and the Sun, the center of mass of the system is inside the Sun. Use this to check and think about your result.
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When the Moon's phase is a "quarter Moon," the Earth, the Moon, and the Sun are at the vertices of a right triangle. (Assume that the origin is at the center of the Sun, with the +x-axis pointing from the Sun to the Earth and the +y-axis parallel to the vector from the Earth to the Moon.)
(a) Find the center of mass of the Earth-Moon-Sun system during this phase of the Moon.
(b) During an eclipse, when the Moon is directly between the Earth and the Sun, the center of mass of the system is inside the Sun. Use this to check and think about your result.
(b) During an eclipse, when the Moon is directly between the Earth and the Sun, the center of mass of the system is inside the Sun. Use this to check and think about your result.
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