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- Title
On Oscillatory Wave Processes on the Surface of Massive Bodies Nonuniform in Composition.
- Authors
Gladkov, S. O.
- Abstract
A set of interrelated nonlinear differential equations describing the simultaneous oscillations of material density (acoustic waves) and gravitational potential is derived in terms of Lagrangean formalism (taking into account the gravitational potential is necessary when massive bodies are considered). The natural frequencies of these oscillations are found. It is shown that, when interacting with the gravitational potential, the spectrum of the surface waves is greatly distorted and depends on the 2D surface wavevector not linearly (as a typical spectrum of phonons in a solid but quadratically. The concept proposed in this work allows one to detect additional acoustic low-frequency signals due to internal disturbances. It is stated that a separate consideration of acoustic and gravitational waves is incorrect because of the strong correlation between them.
- Subjects
OSCILLATIONS; DIFFERENTIAL equations; FREQUENCIES of oscillating systems; GRAVITATIONAL potential
- Publication
Technical Physics, 2003, Vol 48, Issue 8, p958
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/1.1607489