Sometimes it's slow, sometimes it's fast

Classical Mechanics Level 4

A planet revolves around its star in an elliptical orbit of eccentricity $0.6$ , the star being at one of the ellipse's foci.

The planet is said to be at aphelion when the distance between the planet and the star its maximum; at perihelion, when the distance between the star and the planet is minimum.

If $v_\text{ap}$ and $v_\text{per}$ are the speeds of planet at aphelion and perihelion respectively, then find $\dfrac{v_\text{ap}}{v_\text{per}}$ .

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 8 million people

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