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Three Body Scattering Problem

Three Body Scattering Problem

Paperback

General Mathematics

ISBN10: 6208117763
ISBN13: 9786208117764
Publisher: LAP Lambert Academic Publishing
Published: Apr 15 2025
Pages: 148
Weight: 0.46
Height: 0.34 Width: 6.00 Depth: 9.00
Language: English
This book introduces the classical three-body problem, highlighting its complexity, non-integrability, and relevance in celestial mechanics. Discusses types of three-body systems and basic solution approaches. Applies the restricted three-body model to analyze the Moon's motion under the gravitational influence of Earth and the Sun, including effects like orbital perturbations and tidal interactions. This book explores temporary interactions among three bodies, focusing on scattering, capture, and escape phenomena. Describes chaotic behavior and energy exchanges during close encounters. Analyzes how binaries interact with a third body, leading to outcomes like binary disruption, exchange, or tightening. Crucial in stellar dynamics and compact object interactions. Examines how giant molecular clouds gravitationally perturb Oort Cloud comets, triggering inward migration and potential comet showers in the solar system.

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General Mathematics