Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • Total collision manifold  (1)
  • canonical transformation  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Motions close to escapes in the rhomboidal four body problem (1993)
    Springer
    Celestial mechanics and dynamical astronomy 57 (1993), S. 411-437 
    Details
    ISSN: 1572-9478
    Keywords: Total collision manifold ; reversible flow ; parabolic ; escape and capture orbits ; Symbolic Dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this work we study escape and capture orbits in the planar rhomboidal 4-body problem in a level of constant negative energy. There are only two different values of the masses here. By using numerical analysis, we show certain transversal intersections of the invariant manifolds of parabolic orbits. We then introduce Symbolic Dynamics when the mass ratio is small, and when it is close to one. In the first case the escapes or captures predominate in the direction of one of the diagonals of the rhombus, while in the second case we find solutions escaping or being captured in the direction of both possible diagonals.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00695713
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Origin and infinity manifolds for mechanical systems with homogeneous potentials (1988)
    Springer
    Acta applicandae mathematicae 11 (1988), S. 259-284 
    Details
    ISSN: 1572-9036
    Keywords: 58F05 ; 70H05 ; 70H15 ; 70F35 ; Blow up ; conservative mechanical system ; homogeneous function ; Hamiltonian system ; canonical transformation ; symplectic manifold ; contact manifold
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study manifolds describing the behavior of motions close to the origin and at infinity of configuration space, for mechanical systems with homogeneous potentials. We find an inversion between these behaviors when the sign of the degree of homogeneity is changed. In some cases, the blow up equations can be written in canonical form, by first reducing to a contact structure. A motivation for the use of blow-up techniques is given, and some examples are studied in detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00140121
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...