The secular acceleratons in Gylden's problem

DOI10.1007/BF01272557zbMath0545.70010MaRDI QIDQ3335037

André Deprit

Publication date: 1983

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

zbMATH Keywords

mean anomalyreduced massasymptotic estimates for mean marginal rates of variation in the osculating elementsGylden systemsmean argument of perigee stationarymean secular accelerationmoon's mean motionvariation in time of the Keplerian parameter

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15)

Related Items (9)

Chaotic dynamics of the Kepler problem with oscillating singularity ⋮ Note on Kepler's problem with variable angular momentum ⋮ Elliptical orbit with non-central force field in celestial mechanics ⋮ Planetary motion on an expanding locally anisotropic background ⋮ Comment on the paper ``On the triangular libration points in photogravitational restricted three-body problem with variable mass by Zhang, M. J., et al. ⋮ Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem ⋮ Twist periodic solutions for differential equations with a combined attractive-repulsive singularity ⋮ Chaos in the Gyldén problem ⋮ Gyldén systems: Rotation of pericenters

Cites Work

• Two-body problem with slowly decreasing mass
• The reduction to the rotation for planar perturbed Keplerian systems
• Comments on Aksnes' intermediary
• Time-dependent quadratic constants of motion, symmetries, and orbit equations for classical particle dynamical systems with time-dependent Kepler potentials
• The elimination of the parallax in satellite theory
• Classical Solution of the Two-Body Problem If the Gravitational Constant Diminishes Inversely with the Age of the Universe
• Newtonian cosmology with a varying gravitational constant
• On Newtonian cosmology with a varying gravitational constant
• A new basis for cosmology

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