On Pfaff's equations of motion in dynamics; Applications to satellite theory

DOI10.1007/BF01230161zbMath0389.70006MaRDI QIDQ4171586

Roger A. Broucke

Publication date: 1978

Published in: Celestial Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20) History of mathematics in the 19th century (01A55) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) History of mechanics of particles and systems (70-03)

Related Items (4)

Andoyer construction for Hill and Delaunay variables ⋮ On the use of the autonomous Birkhoff equations in Lie series perturbation theory ⋮ Formal solutions of completely integrable Pfaffian systems with normal crossings ⋮ Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems

Cites Work

• Differential forms. With applications to the physical sciences
• Time transformations in the extended phase-space
• On redundant variables in Lagrangian mechanics, with applications to perturbation theory and KS regularization
• Canonical transformations depending on a small parameter
• Über die Anwendungen der Pfaffschen Methode in der Störungstheorie
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