Description 
1 online resource (159 pages) 
Series 
World Scientific Monograph Series in Mathematics 

World Scientific monograph series in mathematics.

Contents 
Preface ; Chapter 1 Bibliographical Survey ; 1.1 Equations. The Triangular Equilibrium Points and their Stability ; 1.2 Numerical Results for the Motion Around L4 and L5 ; 1.3 Analytical Results for the Motion Around L4 and L5 ; 1.3.1 The Models Used 

1.4 Miscellaneous Results 1.4.1 Station Keeping at the Triangular Equilibrium Points ; 1.4.2 Some Other Results ; Chapter 2 Periodic Orbits of the Bicircular Problem and Their Stability ; 2.1 Introduction ; 2.2 The Equations of the Bicircular Problem 

2.3 Periodic Orbits with the Period of the Sun 2.4 The Tools: Numerical Continuation of Periodic Orbits and Analysis of Bifurcations ; 2.4.1 Numerical Continuation of Periodic Orbits for Nonautonomous and Autonomous Equations 

2.4.2 Bifurcations of Periodic Orbits: From the Autonomous to the Nonautonomous Periodic System 2.4.3 Bifurcation for Eigenvalues Equal to One ; 2.5 The Periodic Orbits Obtained by Triplication 

Chapter 3 Numerical Simulations of the Motion in an Extended Neighborhood of the Triangular Libration Points in the EarthMoon System 3.1 Introduction ; 3.2 Simulations of Motion Starting at the Instantaneous Triangular Points at a Given Epoch 
Summary 
It is well known that the restricted threebody problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, æ, below Routh's critical value, æ 1 . It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L 4, L 5 but for a set of relatively large measures. This follows from the celebrated KolmogorovArnoldMoser theorem. In fact there are neighborhoods of computable size for which one obtains "practical stability" in the sense that the massless partic 
Notes 
Print version record 
Subject 
Threebody problem.


Lagrangian points.


Lagrangian points.


Threebody problem.

Form 
Electronic book

ISBN 
9789812810649 

9812810641 
