26 citations · 33 across the 3 of their papers we have counts for
4 papers
Near-integrability as a numerical tool in solar system dynamics
Mikko Kaasalainen, Teemu Laakso
We present a simple choice of integration variables that can be used to exploit the near-integrable character of problems in celestial mechanics. The approach is based on the well-…
Poincaré inverse problem and torus construction in phase space
Teemu Laakso, Mikko Kaasalainen
The phase space of an integrable Hamiltonian system is foliated by invariant tori. For an arbitrary Hamiltonian H such a foliation may not exist, but we can artificially construct…
Canonical methods of constructing invariant tori by phase-space sampling
Teemu Laakso, Mikko Kaasalainen
Invariant tori in phase space can be constructed via a nonperturbative canonical transformation applied to a known integrable Hamiltonian H. Hitherto, this process has been carried…
Gravitational scattering by giant planets
Teemu Laakso, Jari Rantala, Mikko Kaasalainen
We seek to characterize giant-planet systems by their gravitational scattering properties. We do this to a given system by integrating it numerically along with a large number of h…