Solar System DynamicsCambridge University Press, 13/02/2000 The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics. |
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الصفحة viii
... Surface of Section Exercise Questions The Disturbing Function Introduction The Disturbing Function Expansion Using Legendre Polynomials 71 74 77 83 95 97 102 107 110 115 121 128 130 130 131 136 140 149 153 155 158 160 166 174 175 178 ...
... Surface of Section Exercise Questions The Disturbing Function Introduction The Disturbing Function Expansion Using Legendre Polynomials 71 74 77 83 95 97 102 107 110 115 121 128 130 130 131 136 140 149 153 155 158 160 166 174 175 178 ...
الصفحة 13
... surface . 1.6.7 The Asteroid Belt The asteroid belt also exhibits resonant structure . Explaining the gaps in the radial distribution of the asteroid orbits remains an important problem in solar system dynamics . Using a sample of < 100 ...
... surface . 1.6.7 The Asteroid Belt The asteroid belt also exhibits resonant structure . Explaining the gaps in the radial distribution of the asteroid orbits remains an important problem in solar system dynamics . Using a sample of < 100 ...
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... surface of a cone ( see Fig . 2.4 ) . The type of conic is determined by the angle the plane makes with the horizontal . If the plane is horizontal , that is , perpendicular to the axis of symmetry of the cone , then the resulting curve ...
... surface of a cone ( see Fig . 2.4 ) . The type of conic is determined by the angle the plane makes with the horizontal . If the plane is horizontal , that is , perpendicular to the axis of symmetry of the cone , then the resulting curve ...
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... surface of a cone form the family of curves known as the conic sections . empty focus ae parabola mi ' f m2 W 0 = f + w î 0 = 0 pericentre reference direction Fig . 2.5 . The geometry of the ellipse of semi - major axis a , semi - minor ...
... surface of a cone form the family of curves known as the conic sections . empty focus ae parabola mi ' f m2 W 0 = f + w î 0 = 0 pericentre reference direction Fig . 2.5 . The geometry of the ellipse of semi - major axis a , semi - minor ...
الصفحة 61
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عبارات ومصطلحات مألوفة
amplitude angle angular approach approximate argument associated assume asteroid body calculate centre chaotic circle circular close consider constant corresponding curves defined denote derived determined direction distance disturbing function dynamics Earth eccentricity effect encounter energy equal equations equilibrium points evolution example expansion expression follows force frame function given gives gravitational Hamiltonian Hence inclination increase initial inner integration Jupiter libration longitude mass mean motion moving Note numerical objects observed obtain occur orbit origin outer particle path pericentre period perturbations planet planetary plot position possible potential problem quantities radial radius reference relation resonance respectively ring rotating satellite Saturn Sect secular semi-major axis shown in Fig solar system solution stable surface Table theory tidal tide trajectory values variation vector write