Jupiter Ascending

Classical Mechanics Level 3

Two moons of Jupiter, Callisto and Europa of masses \(m_C\) and \(m_E\) are orbiting in circular paths of radius \(r_C\) and \(r_E\) respectively about Jupiter. The radii are measured from the Jupiter’s centre of mass and the respective moons’ centre of masses.

What is the ratio of their velocities \(\dfrac{v_C}{v_E}\) in terms of the given variables?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.