The planet Mars is orbited by two small moons, Phobos and Deimos. Both moons have circular orbits. Use Kepler's Third Law in Newtonian form to compute both the product GM(Mars), where G is Newton's constant and M(Mars) is the mass of Mars, and the mass of Mars itself from the orbital data for the two moons and Newton's constant. 2. a) Phobos: P = 0.3189 days, a = 9377 km. b) Deimos: P = 1.2624 days, a = 23,460 km. NOTE The orbital periods are in earth days; 1 day = 24 hours = 86,400 s. %3D Newton's constant is G = 6.673 x 10^(-11) m^3/kg s^2.

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Chapter7: Rotational Motion And Gravitation
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Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...
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The planet Mars is orbited by two small moons, Phobos and Deimos. Both moons
have circular orbits. Use Kepler's Third Law in Newtonian form to compute both the
product GM(Mars), where G is Newton's constant and M(Mars) is the mass of Mars, and
the mass of Mars itself from the orbital data for the two moons and Newton's constant.
2.
a)
Phobos: P = 0.3189 days, a = 9377 km.
b)
Deimos: P = 1.2624 days, a = 23,460 km.
%3D
NOTE - The orbital periods are in earth days; 1 day = 24 hours = 86,400 s.
%3D
%3D
Newton's constant is G = 6.673 x 10^(-11) m^3/kg s^2.
Transcribed Image Text:The planet Mars is orbited by two small moons, Phobos and Deimos. Both moons have circular orbits. Use Kepler's Third Law in Newtonian form to compute both the product GM(Mars), where G is Newton's constant and M(Mars) is the mass of Mars, and the mass of Mars itself from the orbital data for the two moons and Newton's constant. 2. a) Phobos: P = 0.3189 days, a = 9377 km. b) Deimos: P = 1.2624 days, a = 23,460 km. %3D NOTE - The orbital periods are in earth days; 1 day = 24 hours = 86,400 s. %3D %3D Newton's constant is G = 6.673 x 10^(-11) m^3/kg s^2.
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