Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Show that for a satellite in a circular orbit of period around Earth (mass )
PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation
Problem
Show that for a satellite in a circular orbit of period
T
T
T
around Earth (mass
M
M
M
), the orbital radius
r
r
r
is given by
r
=
(
G
M
T
2
4
π
2
)
1
/
3
.
r = \left( \dfrac{G M T^{2}}{4\pi^{2}} \right)^{1/3}.
r
=
(
4
π
2
GM
T
2
)
1/3
.
Related theory
Circular & Orbital Motion Dynamics
Satellites & Orbital Motion
Gravitation
Orbital velocity and period
Earth satellites
Browse the problem library