Nonlinear superposition of solutions to self-gravitating fluid equations

Journal Article · Thu Feb 01 04:00:00 EST 1990 · Astrophysical Journal; (USA)

DOI:https://doi.org/10.1086/168414· OSTI ID:6966158

Amendt, P; Lanza, A ^[1]

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1. Scuola Internazionale Superiore di Studi Avanzati, Trieste (Italy)

An analytic procedure for nonlinearly superposing axisymmetric, stationary, self-gravitating solutions to Euler's equation or the Jeans equations to generate new and more general classes of solutions is presented. Two examples of the method are given. The first uses a nonlinear superposition of two Maclaurin spheroids to produce a large family of self-gravitating toroidal solutions of Euler's equation. The second example examines some possible consequences of the nonlinear superposition on galactic mass modeling studies based on the Jeans equations. It is shown that (1) regions of reduced stellar density may lead to local angular momentum enhancement and (2) a flat composite rotation velocity profile may be nonlinearly constructed from two or more mass components with decreasing rotation curves. 6 refs.

• OSTI ID: 6966158
• Journal Information: Astrophysical Journal; (USA), Journal Name: Astrophysical Journal; (USA) Vol. 350; ISSN ASJOA; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

640105* -- Astrophysics & Cosmology-- Galaxies
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
CALCULATION METHODS
DENSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FLUID MECHANICS
GALAXIES
GRAVITATION
MASS
MECHANICS
MOTION
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
POISSON EQUATION
ROTATION