Question

Question 49 (1 point)

What kind of relationship, if any, exists between an orbit's semimajor axis length and
its period?
A direct
B inverse
Cno relationship

Answer 1

Orbit's semi-major axis length and its period is directly proportional.

Step-by-step explanation:

Orbital period(T) is the time taken for an celestial object to make one complete revolution in the orbit around other object

According to Kepler's laws 3rd of planetary motion stating

The square of an orbital period T of a planet is “directly proportional” to the cube of the "semi-major axis" of its orbit.

The orbital period T is given by

`T=2 \pi \sqrt{(a^(3))/(\mu)}`

Where

a is the semi-major axis of the orbit

µ = GM which is the standard gravitational parameter

With G is the gravitational constant and M is the mass of body.