(II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5-44. The masses are ту — 0.815 mЕ, Mу — 318 ТЕ, Msat — 95.1 тE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this? 318 тE, MSat 95.1 mẸ, Venus Earth Sun Jupiter Saturn FIGURE 5-44 Problem 41 (not to scale).

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.17P
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(II) Every few hundred years most of the planets line up
on the same side of the Sun. Calculate the total force on
the Earth due to Venus, Jupiter, and Saturn, assuming all
four planets are in a line, Fig. 5-44. The masses are
ту — 0.815 mЕ, Mу — 318 ТЕ, Msat — 95.1 тE, and the
mean distances of the four planets from the Sun are
108, 150, 778, and 1430 million km. What fraction of the
Sun's force on the Earth is this?
318 тE, MSat
95.1 mẸ,
Venus
Earth
Sun
Jupiter
Saturn
FIGURE 5-44 Problem 41 (not to scale).
Transcribed Image Text:(II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5-44. The masses are ту — 0.815 mЕ, Mу — 318 ТЕ, Msat — 95.1 тE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this? 318 тE, MSat 95.1 mẸ, Venus Earth Sun Jupiter Saturn FIGURE 5-44 Problem 41 (not to scale).
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