Stability of motion of the restricted circular and charged three-body problem

Details Stability of motion of the restricted circular and charged three-body problem Stability of motion of the restricted circular and charged three-body problem

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.152....1d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 152, no. 1, Feb. 1989, p. 1-8.

Astronomy and Astrophysics

Astrophysics

1

Lagrangian Equilibrium Points, Motion Stability, Three Body Problem, Celestial Mechanics, Collinearity, Euler-Lagrange Equation

Scientific paper

The stability of motion of the restricted circular and charged three-body problem is discussed, considering a dynamical system defined by a Lagrangian that is moving under the action of a given potential function. It is found that if any small disturbing influences are applied to the restricted circular three charged body problem, it may either deviate slightly from the equilibrium condition of motion or depart from it further and further. Relations for the stability of this system are proposed.

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