Strong forces in Celestial Mechanics
Abstract Strong forces in celestial mechanics have the property that the particle moving under their action can describe periodic orbits,…
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Symmetric periodic orbits in the anisotropic Schwarzschild-type problem
Abstract Studying the two-body problem associated to an anisotropic Schwarzschild-type field, Mioc et al. (2003) did not succeed in proving…
Symmetric periodic orbits in proto-stellar system
Abstract We approach the dynamics in proto-stellar systems via the two-body problem associated to an anisotropic Schwarzschild-type potential. On the…
A solvable version of the inverse problem of dynamics
Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…
Construction of 3D potentials from a pre-assigned two-parametric family of orbits
Abstract AuthorsMira-Cristiana Anisiu Thomas A Kotoulas Keywords? Paper coordinatesM.-C. Anisiu, Th. Kotoulas, Construction of 3D potentials from a pre-assigned two-parametric family…
Pencils of straight lines in logarithmic potentials
Abstract The aim of the planar inverse problem of dynamics is to find the potentials under whose action a material…
Refinement of some inequalities for means
Abstract We consider weighted arithmetic means as, for example \(\alpha G+\left(1-\alpha \right) C\), with \(\alpha \in \left( 0,1\right) ,GC\) being…
Properties of palindromes in finite words
Abstract We present a method which displays all palindromes of a given length from De Bruijn words of a certain…
Two-dimensional arrays with maximal complexity
Abstract We present natural bounds for the complexity function of two-dimensional arrays, and we study the shape of the maximal…
On Lp norms and the spectral radius of operators in Hilbert spaces
Abstract We prove that \(lim_{p\rightarrow \infty}k\) \(\left \Vert f\right \Vert _{+p}^{+p}\diagup \left \Vert f\right \Vert _{p}^{p}=\left \Vert f\right \Vert _{\infty}\)…