Three Families of Integrals which Arise in Some Three-body Problems PDF Download
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Author: John R. Jasperse
Publisher:
ISBN:
Category : Coulomb functions
Languages : en
Pages : 40
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Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands are products of four Coulomb Sturmian functions and two Legendre polynomials. Closed-form expressions are derived for all the integrals, except for one subset of the most general triple integral. An outline of the procedure necessary to obtain a closed expression for this subset is given. (Author).
Author: John R. Jasperse
Publisher:
ISBN:
Category : Coulomb functions
Languages : en
Pages : 40
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Book Description
Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands are products of four Coulomb Sturmian functions and two Legendre polynomials. Closed-form expressions are derived for all the integrals, except for one subset of the most general triple integral. An outline of the procedure necessary to obtain a closed expression for this subset is given. (Author).
Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 784
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 224
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Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 956
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Author:
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ISBN:
Category : Government publications
Languages : en
Pages : 690
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Author: Eunice C. Cronin
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 644
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A systems analysis technique is applied to the scientific problem solving requirements of a major Air Force research organization to establish: The functional organization of a research support group; A valuable data base for a Customer User Library (CUL); and A Management Information System for scheduling, reporting and control. The report summarizes the functional organization of the Analysis and Simulation Branch of the Computation Center at AFCRL as derived from an analysis of the spectrum of analytical and computational problems originating in the Laboratories. A detailed description the structure and mode of operation of the Customer User Library is provided, together with a discussion of the associated Management Information System. An extensive listing of scientific problem abstracts is provided in the Appendices.
Author: Siegfried Böhme
Publisher: Springer Science & Business Media
ISBN: 3642492908
Category : Science
Languages : en
Pages : 523
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Book Description
Astronomy and Astrophysics Abstracts, which appears in semi-annual volumes, is devoted to the re cording, summarizing and indexing of astronomical publications throughout the world. It aims to pre sent a comprehensive documentation of literature in all fields of astronomy and astrophysics. Every effort will be made to ensure that the average time interval between the date of receipt of the original literature and publication of the abstracts will not exceed eight months. This time interval is near to that achieved by monthly issued abstracting journals, compared to which our system of accumulating abstracts for about six months offers the advantage of greater convenience for the user. Volume 2 contains literature published in 1969 and received before March 15, 1970; some older lite rature which was received late and which is not recorded in Volume 1 is also included. The authors of papers who have sent us abstracts on request have effectively contributed to the suc cess of our service. We should like to express our gratitude to them. We acknowledge with thanks con tributions to this volume by Dr. J. Bou~a, who surveyed journals and publications in Czech language and supplied us with abstracts in English, by Dr. B. Onderlicka, Brno, for providing English ab stracts of Russian papers, and by the Commonwealth Scientific and Industrial Research Organization (C.S.I.R.O.), Sydney, for providing titles and abstracts of papers on radio astronomy.
Author: S. Böhme
Publisher: Springer Science & Business Media
ISBN: 3662123436
Category : Science
Languages : en
Pages : 947
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Author: K.-H. Hoffmann
Publisher: Birkhäuser
ISBN: 3034876270
Category : Science
Languages : en
Pages : 227
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Book Description
This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob lems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrody namics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to con strained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. ]~inally, some contribu tions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant at mosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute.
Author: Air Force Cambridge Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Geophysics
Languages : en
Pages : 350
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