In 1679, Newton resumed his work on mechanics, i.e., gravitation and its consequence on the orbits of celestial bodies. He computed the attestation that the elliptical nature of the orbits would be the outcome of a centripetal force. This finding was published in a tract known asÂ De motu corporum in gyrumÂ and sent to the Royal Society and Edmond Halley, his long-time friend and fellow scientist. The tract was later expanded to form theÂ PrincipiaÂ (Newton, 1729, pp. 10), and published in 1687.
In this book, Newton expressed the three laws of motion that were not altered for more than two centuries. The laws illustrate the relationship between the forces operating on a body and its motion. These were as follows:
Apart from the three laws, Newton gave a calculus-like formula for the geometrical computation by â€œfirst and last ratiosâ€, presented the first analytical method for calculating the speed of sound, deduced the oblateness of the spheroidal shape of the Earth. He also justified the order of the equinoxes, began the gravitational study of non-uniformity in moonâ€™s motion and gave a theory for obtaining the orbits of comets, among others. TheÂ PrincipiaÂ was the most important of Newtonâ€™s works and made him known internationally. He also acquired many friends, among them royalties, mathematicians, and scientists.
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