Browsing by Author "Castelli, R."
Now showing items 18 of 8

Intersecting invariant manifolds in spatial restricted threebody problems: Design and optimization of Earthtohalo transfers in the SunEarthMoon scenario
Zanzottera, A.; Mingotti, G.; Castelli, R.; Dellnitz, M. (20121231)This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the EarthMoon CRTBP using impulsive maneuvers. Exploiting the coupled circular restricted threebody problem ... 
On the regularization of the collision solutions of the onecenter problem with weak forces
Castelli, R.; Terracini, S. (20111231)We study the possible regularization of collision solutions for one centre problems with a weak singularity. In the case of logarithmic singularities, we consider the method of regularization via smoothing of the potential. ... 
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form
Castelli, R.; Lessard, J.P.; James, J.D.M. (20151231)We present an efficient numerical method for computing FourierTaylor expansions of (un)stable manifolds associated with hyperbolic periodic orbits. Three features of the method are that (1) we obtain accurate representation ... 
Regions of prevalence in the coupled restricted threebody problems approximation
Castelli, R. (20121231)This work concerns the role played by a couple of the planar circular restricted threebody problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics ... 
Rigorous numerics for NLS: Bound states, spectra, and controllability
Castelli, R.; Teismann, H. (20151231)In this paper it is demonstrated how rigorous numerics may be applied to the onedimensional nonlinear Schrödinger equation (NLS); specifically, to determining boundstate solutions and establishing certain spectral ... 
Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits
Castelli, R.; Lessard, J.P. (20131231)In this paper, a rigorous method to compute Floquet normal forms of fundamental matrix solutions of nonautonomous linear differential equations with periodic coefficients is introduced. The Floquet normal form of a fundamental ... 
Singular dynamics under a weak potential on a sphere
Castelli, R.; Paparella, F.; Portaluri, A. (20131231)We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. We perform a McGeheetype blowup in order to cope with the singularity of ... 
A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case
Castelli, R. (20141231)This paper concerns the behaviour of the apsidal angle for orbits of central force system with homogeneous potential of degree $2 \le \alpha \le 1$ and logarithmic potential. We derive a formula for the apsidal angle as ...