10 citations · 18 across the 4 of their papers we have counts for
4 papers
A family of zero-velocity curves in the restricted three-body problem
Rodica Roman, Iharka Szucs-Csillik
The equilibrium points and the curves of zero-velocity (Roche varieties) are analysed in the frame of the regularized circular restricted three-body problem. The coordinate transfo…
Generalization of Levi-Civita regularization in the restricted three-body problem
R. Roman, I. Szucs-Csillik
A family of polynomial coupled function of degree is proposed, in order to generalize the Levi-Civita regularization method, in the restricted three-body problem. Analytical re…
`Similar' coordinate systems and the Roche geometry. Application
Rodica Roman
A new equivalence relation, named relation of 'similarity' is defined and applied in the restricted three-body problem. Using this relation, a new class of trajectories (named 'sim…
Regularization of the circular restricted three-body problem using 'similar' coordinate systems
Rodica Roman, Iharka Szucs-Csillik
The regularization of a new problem, namely the three-body problem, using 'similar' coordinate system is proposed. For this purpose we use the relation of 'similarity', which has b…