On the Theoretical Possibility of the Libration Cloud

Details On the Theoretical Possibility of the Libration Cloud On the Theoretical Possibility of the Libration Cloud

Jun 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973ap%26ss..22..321h&link_type=abstract

Astrophysics and Space Science, Volume 22, Issue 2, pp.321-327

Astronomy and Astrophysics

Astrophysics

3

Scientific paper

We show within the framework of the restricted three body problem that
(i)
Only in the immediate neighbourhood of the Lagrangian pointsL 4 andL 5 the distribution of a cloud of particles tends to become uniform under the influence of random stochastic perturbations. No consequences can be derived from this fact for a tendency of dispersion of clouds librating at arbitrary distances around the Lagrangian points.
(ii)
From an elementary inspection of the Jacobi integral we cannot conclude that mutual completely inelastic collisions tend to drive the particles away from the vicinity of the libration points. Finally the motion of a particle within the libration cloud, approximated as a resisting medium, is briefly examined.

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