Description 
1 online resource (1 volume) : illustrations 
Series 
World scientific monograph series in mathematics ; vol. 2 

World Scientific monograph series in mathematics ; v. 2.

Contents 
Introduction: libration points and station keeping. 0.1. The neighborhood of libration points as a useful place for spacecrafts. 0.2. Station keeping of libration point orbits  ch. 1. Bibliographical survey. 1.1. Numerical results for threedimensional periodic orbits around L1, L2 and L3. 1.2. Analytic results for halo orbits associated to L1, L2 and L3. 1.3. Motion near L4 and L5. 1.4. Station keeping  ch. 2. Halo orbits. Analytic and numerical study. 2.1. The restricted threebody problem. 2.2. Analytic determination of the families of halo orbits for the restricted threebody problem. 2.3. Numerical determination of the families of halo orbits for the RTBP. Analysis of bifurcations and terminations. 2.4. References  ch. 3. The neighborhood of the halo orbits: numerical study and applications. 3.1. Numerical study of the local invariant manifolds. 3.2. The proposed method for the on/off control. 3.3. On the use of solar radiation pressure for station keeping. 3.4. Globalization of the invariant manifolds. 3.5. References  ch. 4. Analytic solution of the variational equations. Analytic computations for control parameters. 4.1. Analytic solution of the variational equations. 4.2. Analytic computations for control parameters. 4.3. References  ch. 5. The equations of motion for halo orbits under the effect of perturbations and near triangular points. 5.1. Analysis of the perturbations. 5.2. Equations of motion for perturbed halo orbits. 5.3. Equations of motion near the triangular points. 5.4. Numerical tests of the equations of motion. 5.5. References 

Ch. 6. Expansions required for the equations of motion. Collinear points case. 6.1. Analytic expansion of the coefficients due to the noncircular motion of the EarthMoon barycenter. 6.2. Preliminary exploration of the functions to be kept. 6.3. Computation of the approximate frequencies and magnitudes of the perturbations using FFT. 6.4. The final computation of the perturbing terms. 6.5. References  ch. 7. The quasiperiodic orbits: equations, method of solution and results. 7.1. The final equations of motion for the collinear case. 7.2. The method of solution of the equations for the quasiperiodic orbit. 7.3. The results. Problems related to small divisors. 7.4. References  ch. 8. Numerical refinement of the quasiperiodic orbit: the final numerical determination of the orbit and of the projection factors. 8.1. A parallel shooting method for the numerical refinement of the quasiperiodic orbit. 8.2. The final nominal orbit and projection factors. 8.3. References  ch. 9. The on/off control strategy: simulations and discussion. 9.1. A simulation program for the motion of the controlled spacecraft. 9.2. Numerical results of the simulations. 9.3. The feasibility of the control using solar radiation pressure  ch. 10. Other cases and further simulations. 10.1. The L3 case for the Sunbarycenter problem. 10.2. The L3 case for the EarthMoon problem. 10.3. The triangular cases for the Sunbarycenter problem. 10.4. Simulations for the triangular cases in the EarthMoon problem. 10.5. References  ch. 11. Summary and outlook. 11.1. Summary of the achieved results. 11.2. Possible extensions of the work. 11.3. Theoretical problems 
Summary 
In this book the problem of station keeping is studied for orbits near libration points in the solar system. The main focus is on orbits near halo ones in the (Earth+Moon)Sun system. Taking as starting point the restricted threebody problem, the motion in the full solar system is considered as a perturbation of this simplified model. All the study is done with enough generality to allow easy application to other primarysecondary systems as a simple extension of the analytical and numerical computations 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Threebody problem.


Lagrangian points.


SCIENCE  Astronomy.


Lagrangian points


Threebody problem


Sistemas dinâmicos.


Problemas de ncorpos.


Estabilidade.


Sistemas hamiltonianos.


Métodos de perturbação (sistemas dinâmicos)

Form 
Electronic book

Author 
Gómez, G. (Gerard)

ISBN 
9789812810632 

9812810633 
