ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

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
  • 1
    Electronic Resource
    Electronic Resource
    The haloing effect of the third integral (1970)
    Springer
    Astrophysics and space science 7 (1970), S. 54-70 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Whether Contopoulos's galactic system is separable (unlikely) or not (likely), the fact is that there exists a vicinity of the equilibrium in which numerical integration of high accuracy cannot separate the system from its image through Birkhoff's normalization of high order. To all practical purposes, stellar dynamics is then justified in pretending that the model is, in that region, structured by a so-called third integral.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00653474
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    A geometric approach to the Ideal Resonance Problem (1988)
    Springer
    Celestial mechanics and dynamical astronomy 44 (1988), S. 227-238 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01235537
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    A semi-numerical perturbation method for separable hamiltonian systems (1990)
    Springer
    Celestial mechanics and dynamical astronomy 49 (1990), S. 43-67 
    Details
    ISSN: 1572-9478
    Keywords: Perturbation method ; secondary resonance ; action-angle variables ; separable Hamiltonian system ; surface of section
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A detailed account is given of a semi-numerical perturbation method which has been proposed and improved upon in a succession of previous papers. The method analyses the first order effect of a small perturbation applied to a non-trivial two-degreeof-freedom separable Hamiltonian system (including the description of resonances) and construct approximate surfaces of section of the perturbed system. When the separable Hamiltonian system is already the description of a resonance, as it is the case in the problems we have investigated in the previous papers, these resonances are actually secondary resonances. The key role of the method is the numerical description of the angle-action variables of the separable system. The method is thus able to describe the perturbations of non-trivial separable systems and is not confined to the analysis of a small neigborhood of their periodic orbits.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00048581
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Probability of capture for the second fundamental model of resonance (1994)
    Springer
    Celestial mechanics and dynamical astronomy 58 (1994), S. 215-236 
    Details
    ISSN: 1572-9478
    Keywords: Adiabatic invariant ; resonance ; probability of capture ; tidal evolution of satellite
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The extension of the adiabatic invariant theory for one-degree of freedom Hamiltonian systems with varying parameters proposes a way of evaluating the probability of capture from one domain of the phase space into another. We derive here analytic expressions for these probabilities for a typical model of resonance of orderN. We show that the probabilities depend only upon two parameters and not four as expected a priori.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00691975
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Editorial Note (1997)
    Springer
    Celestial mechanics and dynamical astronomy 69 (1997), S. 5-6 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008353425538
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    The problem of critical inclination combined with a resonance in mean motion in artificial satellite theory (1993)
    Springer
    Celestial mechanics and dynamical astronomy 56 (1993), S. 285-286 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00699739
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    The Effect of the Great Inequality on the Hecuba Gap (1997)
    Springer
    Celestial mechanics and dynamical astronomy 69 (1997), S. 187-198 
    Details
    ISSN: 1572-9478
    Keywords: Kirkwood gaps ; secondary resonances ; chaotic motion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effects of the "great inequality" (the quasi-resonance between Jupiter and Saturn) on the motion in the 2/1 mean motion resonance with Jupiter (the Hecuba gap) is investigated. We confirm the proposition made by Ferraz-Mello and collaborators that the great inequality generates secondary resonances which are likely to produce the slow diffusion observed in numerical investigations. We identify, in the restricted three body problem, the frequencies responsible for these secondary resonances.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008338602187
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Proof of a conjecture of E. Strömgren (1973)
    Springer
    Celestial mechanics and dynamical astronomy 7 (1973), S. 449-457 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The conjecture of Strömgren according to which, in the restricted problem, a class of doubly asymptotic orbits are limit members of families of periodic orbits is examined in the more general framework of analytic Hamiltonian system with two degrees of freedom. Sufficient conditions for the conjecture to become a theorem are established. Theses conditions amount to a transversality condition for the doubly asymptotic orbits and are likely to be verified in the cases considered in the literature of numerical explorations of the restricted problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01227510
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    A Note on a General Algorithm for Two-Body Expansions (2000)
    Springer
    Celestial mechanics and dynamical astronomy 76 (2000), S. 283-289 
    Details
    ISSN: 1572-9478
    Keywords: two-body problem ; expansions ; computer algebra
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This note describes briefly a technique, easily implemented with most computer algebra systems, for the purpose of computing the two-body expansions (in powers of the eccentricity and in Fourier series of the mean-anomaly) of a large class of functions of the distance, the true anomaly and/or the eccentric anomaly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008397403548
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    Birkhoff's normalization (1969)
    Springer
    Celestial mechanics and dynamical astronomy 1 (1969), S. 222-251 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Birkhoff's normalizing canonical transformation at an equilibrium of elliptic type with no internal resonance can be built explicitly and recursively, without partial inversions or substitutions, by means of Lie transforms. Invariant sections and ordinary families of periodic orbits for truncated normalized systems are analyzed in detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228842
    Location Call Number Expected 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...