KEPLER’S EQUATIONS a kinematical deduction
نویسنده
چکیده
Kepler’s equations are considered as central to Celestial Mechanics since their solutions permit ’to find the position of a body for a given time’. To obtain a kinematical deduction of them, only one new concept is introduced with the name of ”maccel”. By assuming the simultaneous conservation of the maccel and of the angular momentum, it is shown that the position vector always describes a conic section. Then, the proof includes the three main types of Kepler’s equations for elliptical, parabolic, and hyperbolic trajectories. The theoretical innovations here introduced concern mathematicians, physicists, astronomers, astronauts, cosmologists, historians, philosophers, and everyone minimally interested in the development and improvement of Science.
منابع مشابه
Fast Procedure Solving Universal Kepler’s Equation
We developed a procedure to solve a modification of the standard form of the universal Kepler’s equation, which is expressed as a nondimensional equation with respect to a nondimensional variable. After reducing the domain of the variable and the argument by using the symmetry and the periodicity of the equation, the method first separates the case where the solution is so small that it is give...
متن کاملEpicyclic orbital oscillations in Newton’s and Einstein’s dynamics
We apply Feynman’s principle, “The same equations have the same solutions”, to Kepler’s problem and show that Newton’s dynamics in a properly curved 3-D space is identical with that described by Einstein’s theory in the 3-D optical geometry of Schwarzschild’s spacetime. For this reason, rather unexpectedly, Newton’s formulae for Kepler’s problem, in the case of nearly circular motion in a stati...
متن کاملPsychological Inquiry and the Role of World Views
A variety of world models have influenced psychological inquiry. However, recent theoretical analyses of the field have argued that the lack of a single metatheoretical framework in which to base psychological inquiry may have severe negative consequences. In this paper I review three distinctive world views which have influenced psychological inquiry and develop the idea that, at least at this...
متن کاملThe Debate between Whewell and Mill on the Nature of Scientific Induction
The very best examples of scientific induction were known in the time of William Whewell (1994–1866) and John Stuart Mill (1806–1873). It is puzzling, therefore, that there was such a deep disagreement between them about the nature of induction. It is perhaps astounding that the dispute is unresolved to this very day! What disagreement could there be about Newton’s discovery of universal gravit...
متن کاملKepler’s Supernova Remnant: The View at 400 Years
October 2004 marks the 400th anniversary of the sighting of SN 1604, now marked by the presence of an expanding nebulosity known as Kepler’s supernova remnant. Of the small number of remnants of historical supernovae, Kepler’s remnant remains the most enigmatic. The supernova type, and hence the type of star that exploded, is still a matter of debate, and even the distance to the remnant is unc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005