The critical inclination problem ? 30 years of progress

DOI10.1007/BF01234560zbMath0664.70001OpenAlexW4235714466MaRDI QIDQ3815570

A. H. Jupp

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01234560

zbMATH Keywords

ideal resonance problemcritical inclination problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Orbital mechanics (70M20) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (13)

The dynamical structure of the MEO region: long-term stability, chaos, and transport ⋮ Analytical theory of a lunar artificial satellite with third body perturbations ⋮ Solution to the main problem of the artificial satellite by reverse normalization ⋮ Extension of the critical inclination ⋮ Quasi-critical orbits for artificial lunar satellites ⋮ Effect of 3rd-degree gravity harmonics and Earth perturbations on lunar artificial satellite orbits ⋮ Numerical integration of periodic orbits in the main problem of artificial satellite theory ⋮ Relativistic effects in the critical inclination problem in artificial satellite theory ⋮ Position and velocity perturbations for the determination of geopotential from space geodetic measurements ⋮ A vectorial approach to determine frozen orbital conditions ⋮ Families of frozen orbits of lunar artificial satellites ⋮ Secular dynamics of a lunar orbiter: a global exploration using Prony's frequency analysis ⋮ Luni-solar effects of geosynchronous orbits at the critical inclination

Cites Work

• Unnamed Item
• A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems
• A second fundamental model for resonance
• Motion of two planets with periods commensurable in the ratio 2?1 solutions of the hori auxiliary system
• Resonance in regular variables I: Morphogenetic analysis of the orbits in the case of a first-order resonance
• Formation of the Kirkwood gaps in the asteroid belt
• High-order resonances in the restricted three-body problem
• Canonical solution of the two critical argument problem
• The critical inclination in artificial satellite theory
• Sun-synchronous orbits near critical inclination
• Orbits near critical inclination, including lunisolar perturbations
• The ?critical inclination?: Another look
• The problem of the critical inclination revisited
• The low-eccentricity earth satellite orbit at the critical inclination
• Reduction, Brouwer's Hamiltonian, and the critical inclination
• Normality condition in the ideal resonance problem
• The global solution of the problem of the critical inclination
• The critical inclination problem with small eccentricity
• The critical inclination problem with small eccentricity

This page was built for publication: The critical inclination problem ? 30 years of progress