Answered

A planet orbits a star in a planetary system, and
it takes 8.0 Earth years for the planet to
complete one revolution. If the mass of the star
is about the same as the mass of the Sun, and
the mass of the planet is the same as the mass
of Earth, the semi-major axis of the planet's
orbit is:

Answer :

LANUELGO

The semi-major axis of the planet's orbit is equal to 4 AU.

Given the following data:

  • Period, T = 8.0 Earth years.

What is Kepler's third law?

Kepler's third law of planetary motion states that the square of any planetary body's orbital period (T) is directly proportional to the cube of its orbit's semi-major axis (a).

Mathematically, Kepler's third law of planetary motion is given by this formula:

[tex]T^2 =a^3[/tex]

Where:

  • T is the orbital period.
  • a is the semi-major axis.

Substituting the given parameters into the formula, we have;

[tex]8^2 =a^3\\\\a^3=64\\\\a=\sqrt[3]{64}[/tex]

a = 4 AU.

Read more on semi-major axis here: https://brainly.com/question/25971488

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