HomeSchool Education ➟ 0 Relationship Between Orbital Period And Radius

# 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. Jonathan's Physics Blog 1.33 Use the relationship between orbital from jonathanphysicsbps.blogspot.com

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.