An artifical satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. Using dimensional analysis show that the period of the satellite.
`T=k/Rsqrt(r^3/g)`
where k is a dimensionless constant and g is acceleration due to gravity.

An artificial satellite is revolving around a planet of mass M and radius R in a circular orbit of radius r. From Kepler's third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show using dimensional analysis that T=(k)/(R) sqrt((r^(3))/(g)) where k is dimensionless RV g constant and g is acceleration due to gravity.

An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. From Kelper's Third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usnig dimensional analysis, that T = (k)/(R ) sqrt((r^3)/(g)), Where k is a dimensionless constant and g is acceleration due to gravity.

An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. From Kelper's Third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usnig dimensional analysis, that T = (k)/(R ) sqrt((r^3)/(g)), Where k is a dimensionless constant and g is acceleration due to gravity.

An artificial satellite is revolving around a planet fo mass M and radius R, in a circular orbit of radius r. From Kepler's third law about te period fo a satellite around a common central bdy, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usingn dimensional analysis, that T = k/R sqrt((r^3)/(g)) , where k is a dimensionless constant and g is acceleration due to gravity.

An artificial satellite is revolving around the earth in a circular orbit of radius r. If the time period of revolution of the satellite is T, show that T^2 prop r^3 .

An artificial satellite is revolving round a planet of mass M and radius R in a circular orbit of radius 'r' . If its period of revolution T obeys Kepler's law i.e. T^(2)propr^(3). What is relation for the period of revolution in terms of R,r and "g" the accelerations due to gravity on the planet ?

A satellite of mass 'm' is revolving in a circular orbit of radius 'r' around the earth of mass M. What is the total energy of the satellite?

An artificial satellite of mass m is revolving in a circualr orbit around a planet of mass M and radius R. If the radius of the orbit of satellite be r, then period of satellite is T= (2pi)/(R ) sqrt((r^3)/(g)) Justify the relation using the method of dimensions.