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Special families of orbits in the direct problem of Dynamics

2 years ago

Abstract The direct problem of dynamics in two dimensions is modeled by a nonlinear second-order partial differential equation, which is…

An alternative point of view on the equations of the inverse problem of Dynamics

2 years ago

Abstract The version of the inverse problem of dynamics considered here is: given a family of planar curves \(f(x,y)=c\), find…

Symmetries in the Popovici-Manev photogravitational field

2 years ago

Abstract The Popovici-Manev photogravitational field is generated by a Manev-type attraction force and the repelling radiative force considered by Constantin…

Symmetric periodic orbits in proto-stellar system

2 years ago

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

2 years ago

Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…

Families of orbits in planar anisotropic fields

2 years ago

Abstract The aim of the planar inverse problem of dynamics is: given a monoparametric family of curves \(f(x,y)=c\), find the…

Construction of 3D potentials from a pre-assigned two-parametric family of orbits

2 years ago

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…

Families of orbits in conservative fields of Hénon-Heiles type

2 years ago

Abstract The equations of the inverse problem of dynamics are used in order to obtain planar and spatial potentials of…

Pencils of straight lines in logarithmic potentials

2 years ago

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

2 years ago

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…

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