The mass of Mars is
Explanation:
The orbital speed of a satellite orbiting around a planet is given by
where
G is the gravitational constant
M is the mass of the planet
R is the radius of the orbit
The orbital speed can be also written as
where
is the circumference of the orbit
T is the orbital period
Combining the two equations, we find
In this problem, we have:
is the orbital radius of Phobos
T = 27,553 s is the orbital period
Substituting into the formula, we find the mass of Mars:
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