Dynamical models and the onset of chaos in space debris

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica · 1980 · 1.8K citations

Hamiltonian Theory, Deterministic Dynamical System, Hamiltonian Systems +6

Collision frequency of artificial satellites: The creation of a debris belt

Donald J. Kessler, B. G. Cour-Palais · Journal of Geophysical Research Atmospheres · 1978 · 1.2K citations

Engineering, Earth System Science, Space System +20

Canonical transformations depending on a small parameter

Andr� Deprit · Celestial Mechanics and Dynamical Astronomy · 1969 · 960 citations

Generalized Function, Small Parameter, Mathematical Modelling +2

Theory of General Perturbations with Unspecified Canonical Variables

Gen-Ichiro Hori · Publications of the Astronomical Society of Japan · 1966 · 436 citations

Spectral Theory, General Perturbations, Hamiltonian Theory +11

FAST LYAPUNOV INDICATORS. APPLICATION TO ASTEROIDAL MOTION

Claude Froeschlé, Elena Lega, R. Gonczi · Celestial Mechanics and Dynamical Astronomy · 1997 · 408 citations

Asteroid, Celestial Mechanic, Kinematics +3