1. Restricted circular problem

This section presents the modeling of the restricted circular three-body problem, with the equations of motion in a rotating frame of reference, the accessible regions as a function of initial conditions, and the location of equilibrium points.

1.1 Equations of motion

The three-body problem considers three material points C ₁ , C ₂ and M of masses m ₁ , m ₂ and m respectively in gravitational interaction. When C ₁ and C ₂ are stars and M a spacecraft, the mass of M is negligible (restricted...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors

+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year

From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Systèmes aéronautiques et spatiaux

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Restricted circular problem

Previous
page Space Trajectories. Three-Body Problem

Periodic orbits

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)....