Johannes Kepler

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Johannes Kepler in a 1610 painting

Background

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.

Laws of Planetary Motion

1st and 2nd laws. The sun is located at f1 and is thus a foci of both planets orbits which is the 1st law. The equal areas of A1 and A2 demonstrates the 2nd law.

1. Law of Orbits

All planets move in elliptical orbits with the Sun at one of the two foci

2. Law of Areas

A line that connects a planet to the sun sweeps out equal areas in equal times.

3. Law of Periods

The square of the period of any planet is proportional to the cube of the semi major axis of its orbit.

Further reading

Books, Articles or other print media on this topic

References

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