Gauge Freedom in Orbital Mechanics
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Publication:3506522
DOI10.1196/annals.1370.016zbMath1136.70312arXivastro-ph/0603092OpenAlexW3123039054WikidataQ28299797 ScholiaQ28299797MaRDI QIDQ3506522
Publication date: 16 June 2008
Published in: Annals of the New York Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/astro-ph/0603092
Hamilton's equations (70H05) Celestial mechanics (70F15) Orbital mechanics (70M20) Perturbation methods for rigid body dynamics (70E20)
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Planetary orbital equations in externally-perturbed systems: position and velocity-dependent forces ⋮ The theory of canonical perturbations applied to attitude dynamics and to the Earth rotation. Osculating and nonosculating Andoyer variables ⋮ Long-term evolution of orbits about a precessing oblate planet. II: The case of variable precession ⋮ Corrections stemming from the non-osculating character of the Andoyer variables used in the description of rotation of the elastic Earth ⋮ A note about certain arbitrariness in the solution of the homological equation in Deprit's method ⋮ Exact geodetic precession of the orbit of a two-body gyroscope in geodesic motion about a third mass ⋮ The Serret-Andoyer formalism in rigid-body dynamics. I. Symmetries and perturbations ⋮ A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876 ⋮ Long-term evolution of orbits about a precessing oblate planet: III: A semianalytical and a purely numerical approach ⋮ Tidal evolution of the Keplerian elements ⋮ Gauge theory for finite-dimensional dynamical systems
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