Title: Secular Perturbations Arising From the Action of Jupiter on Mars A Thesis Presented to the Faculty of Philosophy of the University of Pennsylvania, Degree Doctor of Philosophy Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0484334522
ISBN 13: 9780484334525
Binding: HRD
Condition: New
Weight: 265 grams

About this title

Synopsis

Exploring how Jupiter shapes Mars: a rigorous look at secular perturbations in celestial motion.

This scholarly study explains how the gravitational influence of Jupiter affects Mars, using classical methods from celestial mechanics. It presents foundational formalisms—Lagrange’s generalized equations, Hamilton’s canonical forms, and Jacobi’s method—and shows how they transform complex multi-body motion into solvable equations. The text includes practical computations and an application to the Jupiter–Mars system, illustrating how perturbations are analyzed and quantified.

Perfect for readers with an interest in the history and methods of celestial mechanics, this edition clarifies the steps researchers use to reduce, transform, and solve the equations governing orbital motion. It blends theory with a concrete, worked example to demonstrate how perturbations are modeled and calculated.

Foundational methods for analyzing perturbations in multi-body systems
Derivation and interpretation of canonical forms and Jacobi’s equation
Worked computations applying Hill’s method to Jupiter and Mars
A historical view of how these techniques evolved to study orbital dynamics

Ideal for students and readers of astronomy, physics, and the history of science who seek a clear, methodical treatment of orbital perturbations.

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