Rotating emission ring in binary systems.
Representation of rotating gaseous emission rings in eclipsing binary systems by periodic orbits around more massive component in restricted three-body problem
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Representation of rotating gaseous emission rings in eclipsing binary systems by periodic orbits around more massive component in restricted three-body problem
Earth-moon trajectory is considered by using the perturbation theory in the three-body problem for the case of two-fixed centers
Selenodesy experiment, data compression, Mars and Venus mass data, Earth-Moon mass ratio, orbits for three-body problem, and unbraked impact time for lunar landing mission - systems analyses
Earth Moon trajectories with consecutive collisions treated, using Birkhoff transformation in planar restricted three-body problem
Earth Moon trajectories with consecutive collisions treated, using Birkhoff transformation in planar restricted three-body problem
Rotating emission ring in terms of stability of periodic orbits in restricted three-body problem for binary systems
Electron-ion three-body recombination rate in nonequilibrium dense nitrogen plasma measured spectroscopically
While spacecraft orbital variations due to the Earth's tilt and orbital eccentricity are well-known phenomena, the implications for the James Webb Space Telescope present unique features. We investigate the variability of the observatory trajectory characteristics, and present an explanation of some of these effects using invariant manifold theory and local approximation of the dynamics in terms of the restricted three-body problem.
Three-body moon-earth satellite orbit and trajectory calculations for injection and periselenum
Poincares method for three-body problem applied to lunar orbital motion
Stability of periodic and equilibrium solutions of restricted three-body problems - measure preserving mappings, normal form of Hamiltonian, and Poincare recurrence theorem
Book on theory of orbits covering restricted problem of three bodies, two bodies in rotating coordinate system and periodic orbits
Tour designs using flybys have traditionally been studied using two-body patched conic methods. Previous work has shown that trajectories designed using these techniques and with optimization methods follow the invariant manifolds of unstable resonant orbits as they transition between resonances. This work is continued here by computing heteroclinic and homoclinic trajectories associated with these unstable resonant orbits. These trajectories are used with multiple resonances to design flybys that transition between these resonances in the circular restricted three-body problem without the need for two-body approximations.
Instability of periodic orbits in restricted and reduced three-body problems using mapping by fixed point method
Restricted three-body problem for motion analysis of planetoid orbiting around triangular equilibrium point
Nonperiodic librational motions in restricted three-body problem for relatively elliptic motion of two finite masses
Three-body nonadditivity of repulsive forces on classical third virial coefficient
Mathematical models to approximate functions, bounds and power series for three-body problems, satellite orbit theories, and other aspects of trajectory analysis and guidance theory