Question

If it takes a planet 0.8 years to orbit the sun how long in years will it take the planet to go all the way around our sky once

Answer 1

Explanation:

about 185/200 millions of years

Answer 2

It will take the planet 1.36 × 10⁻⁵ Light-year to go all the way around our sky.

Kepler's third law of planetary motion posits that the square of the planet's period of revolution around the sun varies directly proportional to the cube length of the semi-major axis of the elliptical orbit.

Mathematically:

• $\mathbf{T \ \alpha \ a^3}$

where;

• T = 0.8 years

Making (a) the subject, we have:

$\mathbf{a = T^ {^{ \dfrac{2}{3}}}}$

$\mathbf{a = 0.8^ {^{ \dfrac{2}{3}}}}$

$\mathbf{a = \sqrt[3]{0.8} ^2}$

a = 0.86 Au (astronomical unit)

a ≅ 1.36 × 10⁻⁵ Ly (Light-year)

Learn more about Kepler's law here:

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