Question

Calculate the orbital period for the following orbits (assume around Venus):

a) ? = 8000??

b) ? = 0.05, ?? = 12000??

c) ? = 11645??,? = 0.0232, ? = 128°

Answer 1

By Kepler's 3rd law of planetary motion

The orbital period of two point masses orbiting each other in a circular or elliptical path is given by

where a is the semi-major axis of the orbiting ellipse (or radius of the circular orbit)

G the Universal gravitational constant

M is the mass of the more massive body in the system

As it is given in the question It is around venus mass of venus is given by

so

A)

given a=8000km

B)
As the symbols r, a, e are not specified I am taking

r- semi-latus rectum

a-semi-major axis

e-eccentricty

we have the relation connecting these three

so time period T

C)

equation of orbit is

given r=11645km=11645000m

e=0.0232

f=128⁰