Kepler first and third laws quick check

Sure! Here's a quick summary of Kepler's First and Third Laws:

### Kepler's First Law (Law of Ellipses)
- **Statement**: The orbit of a planet around the sun is an ellipse, with the sun at one of the two foci.

### Kepler's Third Law (Law of Harmonies)
- **Statement**: The square of the orbital period (T) of a planet is directly proportional to the cube of the semi-major axis (a) of its orbit. Mathematically, it can be expressed as:
\[
T^2 \propto a^3
\]
or
\[
\frac{T^2}{a^3} = \text{constant}
\]

These laws describe the motion of planets in our solar system and are foundational to the field of celestial mechanics. If you have any specific questions or need further details, feel free to ask!