Výsledky vyhledávání - "PETER J. MELVIN"

The Phase-Shifting Limit Cycles of the van der Pol Equation

Autor: Peter J. Melvin

Publikováno v: J Res Natl Bur Stand (1977)

The van der Pol limit cycles are generated at small amplitudes by the computer implementation of the Poincare-Lindstedt method. The formal algebraic solution is accomplished by manipulations of Poisson series, and the FORTRAN programming of the induc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2f1952f7c8813ce9cbf3b9df7f5b773
https://pubmed.ncbi.nlm.nih.gov/34566008

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Satellite electricity on orbital time scales

Autor: Peter J. Melvin

Publikováno v: The Journal of the Astronautical Sciences. 54:337-357

The theory of electricity on gravity gradient gyrostats is generalized from a static and average charge with the Lorentz torque of previous efforts to the instantaneous and dynamic one here with the introduction of the Faraday torque due to a current

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c2d3a8334f00c4c98018e4ccccf72a3c
https://doi.org/10.1007/bf03256493

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Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others

Autor: Peter J. Melvin

Publikováno v: Celestial Mechanics. 35:345-355

Deprit's approach to the summation of the Legendre series in the geopotential evaluation problem is modified to accomodate normalized spherical harmonics and coefficients. Normalization avoids the floating point overflow encountered with high order g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f0acec16717850ce3f3e40d08d65b1ee
https://doi.org/10.1007/bf01227831

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On the Construction of Poincaré–Lindstedt Solutions: The Nonlinear Oscillator Equation

Autor: Peter J. Melvin

Publikováno v: SIAM Journal on Applied Mathematics. 33:161-194

The equation of motion in a potential energy well $Y'' = F(Y)$ is formally integrated by a combined power and Fourier series. A new notation is used to reduce the integration problem to the algebraic problem of the solution of two recursion relations

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e587e6473a151fd2bfda768677db78c8
https://doi.org/10.1137/0133011

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The figure-of-8 librations of the gravity gradient pendulum and modes of an orbiting tether

Autor: Peter J. Melvin

Publikováno v: Quarterly of Applied Mathematics. 46:637-663

An algorithm is presented for the Hill-Poincaré analytical continuation of the out-of-plane normal mode of the gravity gradient pendulum. The Poincaré-Lindstedt solution employs 17 Poisson series and 24 recursion relations and was evaluated to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::10e106b4659e2a13f2f5afe5a77823f2
https://doi.org/10.1090/qam/973381

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List of Contributors

Autor: SHOSHANA ABRAMOVICH, S.R. BERNFELD, YURI BIBIKOV, R.L. BOWDEN, T.T. BOWMAN, LAMBERTO CESARI, ETHELBERT N. CHUKWU, MICHAEL G. CRANDALL, C.M. DAFERMOS, RICHARD DATKO, D.G. DEFIGUEIREDO, RICHARD I. DeVRIES, R.D. DRIVER, ROBERT M. GOOR, JOHN R. GRAEF, JOHN GREGORY, JAN M. GRONSKI, CHAITAN P. GUPTA, M.L.J. HAUTUS, H. HERMES, MICHAEL HEYMANN, DEH-PHONE K. HSING, J. INCIURA, E.F. INFANTE, GARY D. JONES, JOHN JONES, R. KANNAN, JUNJI KATO, GEORGE H. KNIGHTLY, H.W. KNOBLOCH, V. LAKSHMIKANTHAM, J.P. LaSALLE, JON LEE, W.S. LOUD, ROGER C. McCANN, P.J. McKENNA, JOHN MALLET-PARET, A. MANITIUS, T. MATSUMOTO, JEAN MAWHIN, PETER J. MELVIN, R. MENIKOFF, ZBIGNIEW NITECKI, ANNETT NOLD, ROGER D. NUSSBAUM, V.M. POPOV, W. PRAGER, PAUL H. RABINOWITZ, SAMUEL M. RANKIN, Y.M. REDDY, E.H. ROTHE, EMILIO O. ROXIN, G.I.N. ROZVANY, J.D. SCHUUR, GEORGE SEIFERT, YASUTAKA SIBUYA, CARL P. SIMON, ALFREDO SOMOLINOS, EDUARDO D. SONTAG, PAUL W. SPIKES, RONALD J. STERN, M.B. SURYANARAYANA, RONALD SVERDLOVE, R. TRIGGIANI, J.A. WALKER, Y.H. WAN, H.F. WEINBERGER, YONG J. YOON, JAMES A. YORKE, P.F. ZWEIFEL

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b9d8e5b0a0456e973a7b2772be9f0f57
https://doi.org/10.1016/b978-0-12-083750-2.50003-5

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A HOMOGENEOUS, NONADIABATIC MODEL OF DELTA CEPHEI

Autor: Peter J. Melvin

Publisher Summary This chapter explores a homogeneous, nonadiabatic model of delta Cephei. In the pulsation theory of variable stars, it has long been noted that the radial velocity curve of the fundamental mode of a homogeneous star seems to fit the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7967a346a8439529523741c5e68bcdcf
https://doi.org/10.1016/b978-0-12-083750-2.50050-3

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The figure-of-8 librations of the gravity gradient pendulum and modes of an orbiting tether. II - Geodetic, mass distribution, and eccentricity effects

Autor: Peter J. Melvin

Publikováno v: Astrodynamics Conference.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc30b198fc7bda27afc46790b755e59b
https://doi.org/10.2514/6.1988-4283

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NOTATION OF MOVEMENT

Autor: Peter J. Melvin, Jean Michl, Abraham Wachmann, Noa Eshkol, Heinz von Foerster

First, the basic principles of a notation of bodily movements as developed by Noa Eshkol and Abraham Wachmann are summarized. The syntactic elements of this notation are then translated into equations of motion in a set of Cartesian coordinate system

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fbb8e5cf3f7b032e96b2f7d9c08e4578
https://doi.org/10.21236/ad0703936

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Conference

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