  Kepler's laws of planetary motion are acknowledged as highly significant to
the construction of universal gravitation. The present study demonstrates
different ways to derive the law of equal areas for the Earth by general
geometrical and trigonometric methods, which are much simpler than the original
derivation depicted by Kepler. The established law of equal area for the Earth
was applied to analyze the angular velocity--or the reciprocal of the
distance--for the Earth's orbit around the Sun, and can be defined as a
periodic function by analyzing the available data, which helps explain the law
of ellipses for the Earth.
