Author: Harold HotellingPublisher:
ISBN:
Category : Dynamics of a particle
Languages : en
Pages : 28
Book Description
Three-dimensional Manifolds of States of Motion ...
Author: Harold HotellingPublisher:
ISBN:
Category : Dynamics of a particle
Languages : en
Pages : 28
Book Description
Three Dimensional Manifolds of States of Motion
Author: Harold HotellingPublisher:
ISBN:
Category : Dynamics of a particle
Languages : en
Pages : 16
Book Description
Three Dimensional Manifolds, as Representing States of Motion, Their Equivalents in Riemann Spaces, and Forms Assumed While Representing Certain Related Elements
Author: John O. Rhome (Jr)Three-dimensional Manifolds of States of Motion. A Dissertation... by Harold Hotelling
Author: Harold HotellingTransactions of the American Mathematical Society
Author: American Mathematical SocietyPublisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 616
Book Description
Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
Bulletin of the American Mathematical Society
Author: American Mathematical SocietyPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 630
Book Description
Theory of Orbit
Author: Victory SzebehelyPublisher: Elsevier
ISBN: 0323143466
Category : Science
Languages : en
Pages : 685
Book Description
Theory of Orbits: The Restricted Problem of Three Bodies is a 10-chapter text that covers the significance of the restricted problem of three bodies in analytical dynamics, celestial mechanics, and space dynamics. The introductory part looks into the use of three essentially different approaches to dynamics, namely, the qualitative, the quantitative, and the formalistic. The opening chapters consider the formulation of equations of motion in inertial and in rotating coordinate systems, as well as the reductions of the problem of three bodies and the corresponding streamline analogies. These topics are followed by discussions on the regularization and writing of equations of motion in a singularity-free systems; the principal qualitative aspect of the restricted problem of the curves of zero velocity; and the motion and nonlinear stability in the neighborhood of libration points. This text further explores the principles of Hamiltonian dynamics and its application to the restricted problem in the extended phase space. A chapter treats the problem of two bodies in a rotating coordinate system and treats periodic orbits in the restricted problem. Another chapter focuses on the comparison of the lunar and interplanetary orbits in the Soviet and American literature. The concluding chapter is devoted to modifications of the restricted problem, such as the elliptic, three-dimensional, and Hill’s problem. This book is an invaluable source for astronomers, engineers, and mathematicians.
The Restricted Problems of Three Bodies
Author: Victor Gőyző SzebehelyPublisher:
ISBN:
Category : Summer Institute in Dynamical Astronomy
Languages : en
Pages : 128
Book Description
Rendiconti Del Circolo Matematico Di Palermo
Author: Circolo matematico di PalermoPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 436
Book Description
The Collected Economics Articles of Harold Hotelling
Author: Harold HotellingPublisher: Springer Science & Business Media
ISBN: 1461389054
Category : Mathematics
Languages : en
Pages : 187
Book Description
In 1985 I first began my research on the life and work of Harold Hotel ling. That year, Harold Hotelling's widow had donated the collection of his private p:;tpers, correspondence and manuscripts to the Butler Library, Columbia University. This is a most appropriate place for them to reside, in that Hotelling's most productive period as an active researcher in eco nomics and statistics coincides with the years when he was Professor of Mathematical Economics at Columbia (1931-1946). The Hotelling Collection comprises some 13,000 separate items and contains numerous unpublished letters and manuscripts of great importance to historians of economics and statistics. In the course of the following year I was able, with the generous financial assistance of the Nuffield Foundation, the Economic and Social Research Council, the British Academy and the University of Durham, to spend six weeks over the Easter period working on the collection. I returned to New York in September 1986 while on sabbatical leave from the University of Durham, and I spent most of the following eight months examining the many documents in the collection. During that academic year I was grateful to Columbia University who gave me the title of Visiting Research Professor and gave me the freedom to work in their many well-stocked libraries.