Perturbation, in astronomy, a disturbance in the orbit or motion of a heavenly body. In the solar system perturbations affect the planets, their satellites, and comets. Over long periods of time, perturbations may affect the size, shape, or position of the orbit of a heavenly body.
Molecular Orbital Construction from Fragment Orbitals. Molecular Orbitals of Diatomic Molecules and Electronegativity Perturbation. Molecular Orbitals and Geometrical Perturbations. State Wavefunctions and State Energies. Molecular Orbitals of Small Building Blocks. Molecules with Two Heavy Atoms. Orbital Interactions Through Space and Through ...
In celestial mechanics, an orbital resonance occurs when two orbiting bodies exert a regular, periodic gravitational influence on each other, usually due to their orbital periods being related by a ratio of two small integers. Orbital resonances greatly enhance the mutual gravitational influence of the bodies. In most cases, this results in an unstable interaction, in which the bodies exchange ... Secular perturbations have a progressive effect on the system that can cause it eventually to become unstable. A single planet orbiting the Sun would follow an elliptical orbit according to Kepler's laws; in reality a planet is perturbed from its elliptical orbit by the gravitational effects of the other planets.
We examine the stability of the elliptic solutions of the focusing nonlinear Schrödinger equation (NLS) with respect to subharmonic perturbations. Using the integrability of NLS, we discuss the spectral stability of the elliptic solutions, establishing that solutions of smaller amplitude are stable with respect to larger classes of perturbations.
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