I'm going to need someone to explain this to me (1 Viewer)

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define the term orbital velocity and the quantitative and qualitative relationship between orbital velocity, the gravitational constant, mass of the central body, mass of the satellite and the radius of the orbit using Kepler’s Law of Periods

Thanks.

 

[Jaydels]

this is what i wrote:

Orbital velocity is the instantaneous speed in the direction indicated by an arrow drawn as a tangent to the point of interest on the orbital path.
A centripetal force is required to keep an object moving in a circular path. For a planet revolving around the sun in a circular orbit or radius r, the centripetal force is provided by the gravitational attraction between the planet and the sun. If the mass of the planet (satellite) is m and the mass of the sun (central body)is M then:

Fc= mv^2/r
= GmM/r^2

v^2=GM/r
=(2pi r/T)^2

r^3/T^2=GM/4pi^2 (Kepler's Law of Periods)

For any two bodies orbiting the same object, the ratio r^3:T^2 always equals the same fixed value.
The square of a planet's orbital period is proportional to the cube of the mean distance of the planet from the sun.


Feel free to correct me anyone..........