Kepler's laws of planetary motion formula_16 The area enclosed by the elliptical orbit is formula_17 So the period formula_18 satisfies and the mean motion of the planet around the Sun satisfies This captures the relationship between the distance of planets from the Sun, and their orbital periods. Kepler enunciated in 1619 this third law in a laborious attempt to determine what he viewed as the "music of the spheres" according to precise laws, and express it in terms of musical notation. So it was known as the "harmonic law". Using Newton's Law of gravitation (published 1687), this relation can be found in the case of
Laws of technical systems evolution in TRIZ. The following authors, besides Altshuller, contributed most to it: Yuri Khotimlyansky (studied patterns of energy conductivity in technical systems), Vladimir Asinovsky (proposed principles of correspondence of various components of technical systems), Yevgeny Karasik (co-authored with Altshuller the law of transition from a macro-level to a micro-level, introduced the notion of dual technical systems and studied the patterns of their evolution). In his pioneering work of 1975, Altshuller subdivided all laws of technical systems evolution into 3 categories: Laws of technical systems evolution The laws of technical systems evolution are the most general evolution trends for technical systems discovered