Law of Gravitation

Every two objects in nature attract each other. The magnitude of the attraction force is proportional to the product of the masses of these two objects, and inverse proportional to the square of the distance between these two objects. This page is about Kepler's Three Laws and Law of Gravitation.

Kepler's Three Laws

(1)Kepler's First Law which is also called ellipse orbital law. This law talks about that all the planets that rotate around the sun has a orbital shape of ellipse. Sun is at one focal point of all the ellipse orbitals.

The areas the line swipes are the same during the same period of time. This shows that the line speed of a planet is changing during circulation movement.

(2)Kepler's Second Law which is also called area law talks about that the line connected the planet and the sun will swipe the same area at the same period of time.

(3)Kepler's Third Law which is also called period law talks about that the ratio of cube of half of the length of the major axis to the square of the orbital period for every planet around the sun is the same. [math]\displaystyle{ \frac{R^3}{T^2}=k \text{ or }\frac{R1^3}{T1^2}=\frac{R2^3}{R2^2} }[/math] Note that Kepler's Third Law does not only work for planet but also work for satellite. The constant k is only relate to the central celestial body.

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

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Examples

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Connectedness

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History

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See also

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