Sur la construction des solutions de seconde espèce dans le problème plan restreint des trois corps

Jean-Pierre Marco; Laurent Niederman

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 62, Issue: 3, page 211-249
  • ISSN: 0246-0211

How to cite

top

Marco, Jean-Pierre, and Niederman, Laurent. "Sur la construction des solutions de seconde espèce dans le problème plan restreint des trois corps." Annales de l'I.H.P. Physique théorique 62.3 (1995): 211-249. <http://eudml.org/doc/76674>.

@article{Marco1995,
author = {Marco, Jean-Pierre, Niederman, Laurent},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Levi-Civita's regularization; necessary conditions for existence of solutions; bifurcations; homoclinic solutions; hyperbolic fixed point; approximation theorem},
language = {fre},
number = {3},
pages = {211-249},
publisher = {Gauthier-Villars},
title = {Sur la construction des solutions de seconde espèce dans le problème plan restreint des trois corps},
url = {http://eudml.org/doc/76674},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Marco, Jean-Pierre
AU - Niederman, Laurent
TI - Sur la construction des solutions de seconde espèce dans le problème plan restreint des trois corps
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 3
SP - 211
EP - 249
LA - fre
KW - Levi-Civita's regularization; necessary conditions for existence of solutions; bifurcations; homoclinic solutions; hyperbolic fixed point; approximation theorem
UR - http://eudml.org/doc/76674
ER -

References

top
  1. [1] H. Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste, 1987, Blanchard, tome 3, Sections 385-391. 
  2. [2] L.M. Perko, Second species periodic solutions with an O (μ) near-Moon passage, Cel. Mech., vol. 14, 1976, p. 395-427. Zbl0357.70010
  3. [3] L.M. Perko, Second species solutions with an O (μν), 1/3 &lt; ν &lt; 1, near-Moon passage, Cel. Mech., vol. 16, 1977, p. 275-290. Zbl0384.70014
  4. [4] L.M. Perko, Second species solutions with an O (μv), 0 &lt; ν &lt; 1 near-Moon passage, Cel. Mech., vol. 24, 1981, p. 155-171. Zbl0478.70008
  5. [5] P. Guillaume, Families of symmetric periodic orbits of the restricted three-body problem, when the perturbing mass is small, Astronomy and Astrophysics, vol. 3, 1973, p. 57-76. Zbl0185.28104MR260403
  6. [6] P. Guillaume, Linear analysis of one type of second species solutions, Cel. Mech., vol. 11, 1975, p. 449-467. Zbl0363.70010MR391631
  7. [7] G. Gomez et M. Ollé, Second species solutions in the circular and elliptic restricted three body problem, I et II, Celestial Mechanics, vol. 52, 1991, p. 107-166. Zbl0748.70005MR1146298
  8. [8] J. Henrard, On Poincaré second species solutions. Cel. Mech., vol. 21, 1980, p. 83-97. Zbl0422.70009MR564611
  9. [9] M. Hénon et D.L. Hitzl, Critical generating orbits for second species solutions of the restricted problem. Cel. Mech., vol. 15, 1977, p. 421-452. Zbl0369.70007MR459087
  10. [10] T. Levi-Civita, Sur la résolution qualitative du problème restreint des trois corps, Opere matematishe, vol. 2, Bologna, 1956. 
  11. [11] A. Chenciner, Le problème de la lune et les systèmes dynamiques, (I), Preprint Université Paris-VII, 1989. 
  12. [12] C. Conley, On some new long periodic solutions of the plane restricted three-body problem, Comm. on Pure and Applied Math.XVI, 1963, p. 449-467. Zbl0151.35002MR154724
  13. [13] A.D. Bruno, Le problème restreint des trois corps, 1990, Nauka, Moscou. 
  14. [14] M. Hénon, Sur les orbites interplanétaires qui rencontrent deux fois la terre, Bulletin Astronomique, Série 3, 1968, p. 377-393. Zbl0169.27401
  15. [15] A.D. Bruno, On periodic flybys to the Moon, Cel. Mech., vol. 24, 1981, p. 255-268. Zbl0523.70017MR627036
  16. [16] C. Conley and R. Easton, Isolated invariant sets and isolating blocs, Trans. A.M.S., vol. 158, 1971, p. 35-61. Zbl0223.58011MR279830
  17. [17] S. Wiggins, Global Bifurcations and Chaos, 1988, Springer. Zbl0661.58001MR956468
  18. [18] M. Chaperon, Géométrie différentielle et singularités des systèmes dynamiques, Astérisque, 1986. Zbl0601.58002MR858911

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.