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# Relationship Between Orbital Period And Radius

Relationship Between Orbital Period And Radius. The centripetal force on the planet, which is equal to the gravitational force, is a function of its distance from the sun, its type of orbit (how elliptical it is), and its period of orbit. The larger the circular radius, the longer the period.

T 2 ∝ a 3 Given that there is a relationship between the orbital radius of a planet and its period of revolution and that the periods of revolution of mercury, earth, jupiter and neptune are nearly 0.24, 1, 11.8 and 165 years. When a satellite travels in a geosynchronous orbit around the earth, it needs to travel at a certain orbiting radius and period to maintain this orbit.

### The Centripetal Force On The Planet, Which Is Equal To The Gravitational Force, Is A Function Of Its Distance From The Sun, Its Type Of Orbit (How Elliptical It Is), And Its Period Of Orbit.

The relationship is given by kepler's third law: Here’s an easy way to think about it: The equation for orbital period is (for circular orbit):

### (Remember To Convert Time Into Seconds) Like This:

It follows that the period of revolution of a. Venus is less than 0.24 years b. 1.33 use the relationship between orbital speed, orbital radius and time period.

### So The Mass Inside The Orbit Of Radius $R$ Is $M = M_Or$ Where $M_O$ Is A Constant.

Given that there is a relationship between the orbital radius of a planet and its period of revolution and that the periods of revolution of mercury, earth, jupiter and neptune are nearly 0.24, 1, 11.8 and 165 years.