A Treatise On Dynamics of a Particle, With Numerous Examples
A Treatise On Dynamics of a Particle, With Numerous Examples
Peter Guthrie Tait
The book A Treatise On Dynamics of a Particle, With Numerous Examples was written by author Peter Guthrie Tait Here you can read free online of A Treatise On Dynamics of a Particle, With Numerous Examples book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On Dynamics of a Particle, With Numerous Examples a good or bad book?
What reading level is A Treatise On Dynamics of a Particle, With Numerous Examples book?
To quickly assess the difficulty of the text, read a short excerpt:
Digitized by VjOOQIC 128 CENTRAL ORBITS. 149i A particle is projected from a given point in a given direction ana with a given velocity , and moves under the action of a central attraction varying inversely as the square of 'the distance; to determine the orbit We have P=s fiu*, and therefore 351+.-J.-0, the integral of which is tt-^ = ^cos(5 + 5), or, as it is^ usually written, u=^^{l+ecos{0-a)} (1). This gives 5fl'*""l^^^"^ (^ — a) (2). Let It be the distance of the point of projection from t...he center; /8 the angle, and Fthe velocity, of projection ; then when ^ = 0, «"5' ^«*^=-SSL- Hence, by (1), —^ — 1 = 6 cos a, .and, by (2), ~».^^* )8 = - e sin a. From these^ tan a= —75 — f! •(3). h* ,« 2/* and **=';?^jJ,e>l, and the orbit is a hyperbola, F*=^, e = l, a parabola, F*
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
User Reviews: