ESTIMATION Kepler determined distances in the solar system
Chapter , Problem 29(choose chapter or problem)
ESTIMATION Kepler determined distances in the solar system from his data. For example, he found the relative distance from the Sun to Venus (as compared to the distance from the Sun to Earth) as follows. Because Venuss orbit is closer to the Sun than is Earths orbit, Venus is a morning or evening starits position in the sky is never very far from the Sun (Figure 11-24). If we suppose the orbit of Venus is a perfect circle, then consider the relative orientation of Venus, Earth, and the Sun at maximum extension, that is, when Venus is farthest from the Sun in the sky. (a) Under this condition, show that angle b in Figure 11-24 is (b) If the maximum elongation angle a between Venus and the Sun is what is the distance between Venus and the Sun in AU? (c) Use this result to estimate the length of a Venusian year.
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