2. Periodic orbits

Equilibrium points, in particular L ₁ and L ₂ , exhibit properties favorable to space missions. This section presents the study of motion in the vicinity of these points and methods for determining periodic orbits.

2.1 Linearized solution

The first step in studying dynamics in the vicinity of equilibrium points is to linearize the equations of motion (7) . These equations are of the form :

{

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Bibliography

(1) - BATTIN (R.) - An Introduction to the Mathematics and Methods of Astrodynamics. - AIAA (1999).
(2) - FARQUHAR (R.W.) - The Control and Use of Libration Point Satellites. - Goddard Space Flight Center, NASA TR R-346 (1970)....

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