Multiple applications of a derived formula for Kepler's law of areas

In the literature, Kepler's law of periods is described in words and by mathematical formula. This is not the case with the law of orbits and the law of areas. In this article, the law of orbits is explained, the formula for Kepler's law of areas is fully derived and then applied to obtain formulas for a satellite's velocity and the elapsed time during its motion around an elliptical orbit. Kepler's law of areas is used to explain the transformation of an elliptical into a circular orbit in Kepler's law of periods, where the radius of the circle is equal to the semimajor axis. It can also be used to calculate the distance from the focus to the orbiting object. The perimeter of an elliptical orbit is calculated by multiplying the satellite's velocity by the orbiting elapsed time. This method can also be applied to find the perimeter or the length of some other curves. The article is based on known laws of Kepler and Newton. The calculation is supported by the results of an original experiment. The mass of the satellite plays no role in the presented calculation.