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Published in 1831, this work forms part of a collection of introductory volumes suggested by Henry, Lord Brougham and Vaux, the Lord Chancellor, for the Society of the Diffusion of Useful Knowledge. Due to the exceptional mathematical ability of its author, however, it outgrew its original plan and has since been seen as a rather more ambitious project. Praised by Somerville's contemporary Sir John Herschel for its presentation of general astronomical theories and the mechanical principles employed in their derivation, the work was a tour de force of scientific and technical exposition. It is especially remarkable both for its author's firm grasp of the subject, especially given her lack of formal mathematical training, and for its clear outline of Newtonian philosophy for a popular audience.

Celestial mechanics. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics

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This book presents an overview of the outcomes resulting from applying the dynamical systems approach to space mission design, a topic referred to as "Space Manifold Dynamics" (SMD). It is a natural follow-on to the international workshop "Novel Spaceways for Scientific and Exploration Missions," which was held in October 2007 at the Telespazio Fucino Space Centre (Italy) under the auspices of the Space OPS Academy. The benefits and drawbacks of using the Lagrangian points and the associated trajectories for present and future space missions are discussed. The related methods and algorithms are also described in detail. Each topic is presented in articles that were written as far as possible to be self consistent; the use of introductory sections and of extended explanations is included in order to address the different communities potentially interested in SMD: space science, the aerospace industry, manned and unmanned exploration, celestial mechanics, and flight dynamics.

Celestial mechanics -- Mathematical models. --- Celestial mechanics. --- Celestial mechanics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Theoretical Astronomy --- Astrophysics --- Mathematical models --- Mathematical models. --- Gravitational astronomy --- Mechanics, Celestial --- Physics. --- Planetology. --- Astronomy. --- Astrophysics. --- Cosmology. --- Space sciences. --- Aerospace engineering. --- Astronautics. --- Astronomy, Astrophysics and Cosmology. --- Aerospace Technology and Astronautics. --- Extraterrestrial Physics, Space Sciences. --- Mechanics --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Planetary sciences --- Planetology --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Science and space --- Space research --- Cosmology --- Science --- Aeronautical engineering --- Astronautics --- Engineering

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This book offers an up-to-date overview of current research on Dynamics of Small Solar System Bodies and Exoplanets. In course-tested extensive chapters the authors cover topics of theoretical celestial mechanics, physics and dynamics of asteroids, comets, stability of exoplanets and numerical integration codes applied in dynamical astronomy.

Extrasolar planets --- Celestial mechanics --- Astronomy & Astrophysics --- Theoretical Astronomy --- Astrophysics --- Physical Sciences & Mathematics --- Celestial mechanics. --- Extrasolar planets. --- Solar system. --- Exo-planets --- Exoplanets --- Extra-solar planets --- Gravitational astronomy --- Mechanics, Celestial --- Earth sciences. --- Planetology. --- Dynamics. --- Ergodic theory. --- Physics. --- Astrophysics. --- Space sciences. --- Earth Sciences. --- Astrophysics and Astroparticles. --- Mathematical Methods in Physics. --- Extraterrestrial Physics, Space Sciences. --- Dynamical Systems and Ergodic Theory. --- Milky Way --- Planets --- Stars with planets --- Mechanics --- Mathematical physics. --- Differentiable dynamical systems. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Physical mathematics --- Planetary sciences --- Planetology --- Mathematics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics --- Science and space --- Space research --- Cosmology --- Science --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Solar system