Question

Io, one of the satellites of Jupiter, has an orbital period of 1.769 days and the radius of the orbit is 4.22 × 10⁸ m. Show that the mass of Jupiter is about one-thousandth that of the sun.

Answer 1

Orbital period of

Orbital radius of

Satelliteis revolving around the Jupiter

Mass of the latter is given by the relation:

Where,

= Mass of Jupiter

G = Universal gravitational constant

Orbital radius of the Earth,

Hence, it can be inferred that the mass of Jupiter is about one-thousandth that of the Sun.