The Stability of the Triangular Langrangian Points for Commensurability of Order Two

Details The Stability of the Triangular Langrangian Points for Commensurability of Order Two The Stability of the Triangular Langrangian Points for Commensurability of Order Two

Sep 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...1..351a&link_type=abstract

Celestial Mechanics, Volume 1, Issue 3-4, pp. 351-359

Physics

9

Scientific paper

The two variable expansion method is used to show that the triangular equilibrium points in the planar restricted problem of three bodies are unstable at µ=µ2=0.024293.... It is also shown that even though the equilibrium points are stable for µ≈µ2 finite motions in the neighborhood of the equilibrium points may be unstable.

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