The Motion of the Moon Alan H. Cook

Alan H. Cook

ISBN 10: 0852743483 / ISBN 13: 9780852743485

Editore: CRC Press, 1988

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The Motion of the Moon In englischer Sprache. pages.

Codice articolo BN312662

Dati bibliografici

• Titolo: The Motion of the Moon Alan H. Cook
• Editore: CRC Press
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 0852743483
• ISBN 13: 9780852743485
• Rilegatura: Hardcover
• Condizione: gut
• Peso: 2000 grammi

Descrizione articolo

Riassunto

The passage of the Moon across the night sky has long been a familiar, but mysterious, sight to man. Newton, with his laws of motion and inverse square law of gravity, was able to predict all the planetary orbits, at least in principle. However, an exact solution of the Moon's motion in the gravitational fields of the Sun and Earth defeated Newton and all his successors. The Motion of the Moon is a comprehensive account of the theoretical developments right up to the present day. All astronomers, physicists and mathematicians interested in the Moon will find this a very stimulating book.

Contenuti

Introduction: The Moon in ancient astronomy. The Moon in Newton's times. Recent developments. Issues of theory. Plan of the book. Observations of the moon. Introduction; optical observations. Radar and laser observations. Very long baseline interferometry. Lunar orbiters. Dynamical principles: Introduction. Lagrangian equations of motion. Hamiltonian dynamics. The Hamilton-Jacobi equation. Transformation theory. The dynamical problem of three bodies. Separation of rotational and translational motions of a rigid body. The basis of the classical equations. Dynamics of the lunar orbit: Introduction. Orbits in a central field. The Hamilton-Jacobi problem for a central field. The equations of motion of the Moon about the Earth in the presence of the Sun. The disturbing function. The orbit in a rotating frame. Methods of orbital theories. Non-spherical potentials. The first analytical theories of the lunar orbit: Aims and methods of the early analytical theories. Equations of motion in polar coordinates. Theories of Clairaut, d'Alembert and Laplace. The two theories of Euler. Developments in the nineteenth century: Introduction. The theory of Lubbock and de Pontecoulant. The theory of Delaunay (1860,1867). Hansen's theory. Constants in theories of the lunar orbit. Effects of the planets and the figure of the earth; secular acceleration of the moon: Introduction. The direct effects of the plants. The indirect effect of the planets. The figures of the Earth and Moon. The secular acceleration of the Moon. The lunar theory of Hill and Brown: Introduction. The equations of motion. The variational orbit. The motions of node and perigee. Summary. Applications of computers: Introduction. Transformations in lunar theory. Literal theories of the orbit. Semi-analytical theories. Numerical integrations and comparisons with literal theories. Physical librations: Introduction. The Lagrangian equations of motion in Cartesian coordinates. Third-order harmonics in the lunar gravity field. The free oscillations. Equations of motion in Hamiltonian form. The use of computers. Parameters and applications: Introduction. Parameters of the orbit. Dynamical properties of the Moon. Adjustment of parameters. Applications: astronomy. Applications; lunar and terrestrial physics. Studies of relativity and gravitation. Summary. Conclusion: The present state of lunar theory. Limitations of rigid body dynamics. Limitations of non-relativistic dynamics. Lunar theory in dynamics and physics. References. Index.