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
    Dirk Brouwer 1902–1966 (1969)
    Springer
    Celestial mechanics and dynamical astronomy 1 (1969), S. 2-2 
    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/BF01230625
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Matrix perturbation methods using regularized coordinates (1970)
    Springer
    Celestial mechanics and dynamical astronomy 2 (1970), S. 311-318 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Matrix methods for computing perturbations of non-linear perturbed systems, as formulated by Alexeev, involve an expression for the full solution of the first variational equations of the system evaluated about a reference orbit. These cannot be immediately applied to a regularized system of equations where perturbations about Keplerian motion are considered since the solution of the variational equations of regularized Keplerian motion does not in general correspond to the solution of the variational equations of the unregularized equations. But, as Kustaanheimo and Stiefel have pointed out, the regularized equations of Keplerian motion should be excellent for the initiation of a perturbation theory since they are linear in form. This paper describes a method for applying Alexeev's theorem to a regularized system where full advantage is taken of the basic linear form of the unperturbed equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01235124
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    The evolution of periodic orbits close to heteroclinic points (1984)
    Springer
    Celestial mechanics and dynamical astronomy 33 (1984), S. 261-270 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Several families of periodic orbits close to heteroclinic points were computed, and their evolution, as a function of the energy, was followed. All appeared spontaneously at the occasion of the formation of the heteroclinic points, and had no genealogical links with other families. This behavior, which confirms a prediction by Dr. Contopoulos, is in contrast to the behavior of periodic orbits close to homoclinic points, some of which have genealogical links with periodic orbits existing in the ‘quasi-integrable’ phase of the system. The orbits found here appeared in regions where stochasticity was well established; so their appearance does not seem to be connected with the onset of stochasticity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01230508
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Transformations to extend the range of application of power series solutions of differential equations of motion (1972)
    Springer
    Celestial mechanics and dynamical astronomy 5 (1972), S. 311-316 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Let the solution of a differential equation, expanded in powers of the independent variablet, have radius of convergenceT. let τ, wheret=t(τ), be a new independent variable, and let the corresponding power series in τ have radius of convergenceS. Thent(S) will not in general be equal toT. Ift(S)〉T, then the series in powers of τ may have advantages over those in powers oft. Mathematical consequences of this distinction have been appreciated since the time of Poincaré. In this note the practical applications of some transformations are investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228433
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    The solution of Kepler's equation, III (1987)
    Springer
    Celestial mechanics and dynamical astronomy 40 (1987), S. 303-312 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Recently proposed methods of iteration and initial guesses are discussed, including the method of Laguerre-Conway. Tactics for a more refined initial guess for use with universal variables over a small time interval are described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01235847
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Teaching orbits with the aid of the personal computer (1987)
    Springer
    Celestial mechanics and dynamical astronomy 41 (1987), S. 51-52 
    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/BF01238751
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    The evolution of periodic orbits close to homoclinic points (1973)
    Springer
    Celestial mechanics and dynamical astronomy 8 (1973), S. 273-280 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For conservative dynamical systems having two degrees of freedom Birkhoff has established the existence of two classes of periodic orbits. The first consists of stable-unstable pairs close to periodic orbits of the stable type, and the second of orbits having fixed points (in a suitable surface of section) close to homoclinic points. In this paper orbits of the latter type are listed, and their evolution followed as a function of the energy. For the energy at which they were first computed, all were unstable; but they evolved, with diminishing energy, into one orbit of the stable type which appears to be a member of the first class of orbits mentioned above.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01231428
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Planetary theories (1974)
    Springer
    Celestial mechanics and dynamical astronomy 9 (1974), S. 297-302 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The present condition of planetary theory, i.e., the computation and comprehension of the motion of the planets, is reviewed. Account is taken of the new and anticipated demands of observational accuracy, new mathematical methods in perturbation theory, and the use of the high-speed computer to perform algebraic as well as numerical work.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228572
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Two notes on the copenhagen problem (1984)
    Springer
    Celestial mechanics and dynamical astronomy 33 (1984), S. 251-260 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Poincaré's method of consequents is applied to the computation of asymptotic branches from the unstable equilibrium L4 in the restricted problem of three bodies with equal masses, known as the ‘Copenhagen Problem’. Because of looping in the orbits, the ‘Poincaré mapping’ in this problem is not continuous, and the structure of the branches is more complicated than that for simpler dynamical systems for which computations have appeared.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01230507
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    Book reviews (1986)
    Springer
    Space science reviews 44 (1986), S. 177-188 
    Details
    ISSN: 1572-9672
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00227232
    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...