merged

Deriving Kepler’s Law of Planetary Motion
Fazhlen Binti Mohd Sabri
Supervisor: Dr. Ruwaidiah Binti Idris
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The purpose of this research is to derive Kepler’s Law of Planetary Motion. Kepler’s Law
of Planetary Motion are three scientific laws that describing the motion of planet around
the Sun. First, we use Newton’s Gravitational Law to derive the Kepler’s First Law which
states that planets move around the Sun in ellipses, with the Sun at one focus. Deriving
Kepler’s Second Law by proving that the line connecting the Sun to a planet sweeps equal
area in equal times. Finally, by showing that the squares of the orbital period of a planet
is proportional to the cube of the semi-major axis of its orbit, we achieved the derivation
of Kepler’s Third Law. We get the derivative of the Kepler’s Law by showing that derivation
of each of the laws are based on it description.
927 | UMT UNDERGRADUATE RESEARCH DAY 2018