How Mathematics Are Used In Astronomy
Kepler’s Laws of Planetary Motion taught mankind how the planets circled the Sun. This mathematical concept expanded on an observation that Copernicus originally made. It describes celestial mechanics or how the planets move through the Solar System in elliptical orbits. Describing how bodies move in relation to one another, and learning more about them is a core element of astronomy. It was left up to Newton's Law to provide a useful gravitational relationship for space exploration. This is known as Newton's Law of Universal Gravitation. The Newtonian law is basic to describing planetary escape velocities, orbital slingshot mechanics, and satellite fly-bys. In each scenario, astronomical information is being gathered, but mathematics makes it possible to these perform missions. It also allows us to interpret the information gathered.
Listed are Kepler’s First Law and Newton’s Law of Universal Gravitation:
R = P/(1+eCOS (Θ))
Where R is the radius of the orbit, P is the semi-latus rectum, and e is the eccentricity.
*R and Theta are polar coordinates that predict where a planet is in an elliptical orbit.
F = G(M1)(M2)/R2
Where G is the Gravitational Constant, M1 and M2 are the masses of concern and R is the distance between them.
*Force = Gravitation force
Please note that Kepler’s Laws of Planetary Motion were used to derive Newton’s Law of Universal Gravitation. Kepler’s Laws of Planetary Motion was published in 1609 and Newton’s Law of Universal Gravitation was written in 1687. Now let’s review the science of observation.