Which of these describes Kepler’s third law of orbital motion?(1 point)
Responses
T∝a^2
T^3 ∝a^2
T^2∝a
T^2 ∝ a^3
T^2 ∝ a^3
Which statement describes Kepler’s third law of orbital motion?(1 point)
Responses
The orbital period is proportional to the square of the semi-major axis.
The square of orbital period is proportional to the semi-major axis.
The square of orbital period is proportional to the cube of the semi-major axis.
The cube of orbital period is proportional to the square of the semi-major axis.
The square of orbital period is proportional to the cube of the semi-major axis.
Which planet’s orbit was Kepler first studying when he began to develop his laws of orbital motion?(1 point)
Responses
Earth
Mars
Saturn
Jupiter
Mars
The correct answer is: T^2 ∝ a^3
To determine which option describes Kepler's third law of orbital motion, we need to understand what the law states and then match it with one of the given options.
Kepler's third law of orbital motion states that the square of the orbital period (T) of a planet is proportional to the cube of its average distance (a) from the sun (or the center of mass). The formula for Kepler's third law can be expressed as:
T^2 ∝ a^3
So, the option that correctly describes Kepler's third law of orbital motion is:
T^2 ∝ a^3.