37 citations · 65 across the 8 of their papers we have counts for
9 papers
An angular-momentum preserving dissipative model for the point-mass N -body problem
Matheus Lazarotto, Clodoaldo Ragazzo
A simple mathematical model emulating energy dissipation due to tidal effects is proposed. In this model, forces acting between masses remove energy but preserve the total angular…
Droplet rebounds off a fluid bath at low Weber numbers
Elvis A. Agüero, Carlos A. Galeano-Rios, Clodoaldo Ragazzo +3
We present a method to simulate non-coalescing impacts and rebounds of droplets onto the free surface of a liquid bath, together with new experimental data, focused on the low-spee…
Spin-Orbit Synchronization and Singular Perturbation Theory
Clodoaldo Ragazzo, Lucas Ruiz dos Santos
In this study, we formulate a set of differential equations for a binary system to describe the secular-tidal evolution of orbital elements, rotational dynamics, and deformation (f…
Tidal Evolution and Spin-Orbit Dynamics: The Critical Role of Rheology
Clodoaldo Ragazzo, Lucas Ruiz dos Santos
This study analyzes secular dynamics using averaged equations that detail tidal effects on the motion of two extended bodies in Keplerian orbits. It introduces formulas for energy…
Equivalence between simple multilayered and homogeneous laboratory-based rheological models in planetary science
Yeva Gevorgyan, Isamu Matsuyama, Clodoaldo Ragazzo
The goal of this work is to investigate under which circumstances the tidal response of a stratified body can be approximated by that of a homogeneous body. We show that any multil…
Librations of a body composed of a deformable mantle and a fluid core
Clodoaldo Ragazzo, Gwenaël Boué, Yeva Gevorgyan +1
We present fully three-dimensional equations to describe the rotations of a body made of a deformable mantle and a fluid core. The model in its essence is similar to that used by I…
Andrade rheology in time-domain. Application to Enceladus' dissipation of energy due to forced libration
Yeva Gevorgyan, Gwenaël Boué, Clodoaldo Ragazzo +2
The main purpose of this work is to present a time-domain implementation of the Andrade rheology, instead of the traditional expansion in terms of a Fourier series of the tidal pot…
The theory of figures of Clairaut with focus on the gravitational rigidity modulus: inequalities and an improvement in the Darwin-Radau equation
Clodoaldo Grotta Ragazzo
This paper contains a review of Clairaut's theory with focus on the determination of a gravitational rigidity modulus defined as $\left(\frac{C-I_o}{I_o}\right)γ=\frac{2}{3}Ω^2…
Metastable periodic patterns in singularly perturbed state dependent delayed equations
Xavier Pellegrin, Clodoaldo Grotta Ragazzo, Coraci Malta +1
We consider the scalar delayed differential equation $\ep\dot x(t)=-x(t)+f(x(t-r))$, where $\ep>0$, $r=r(x,\ep)$ and represents either a positive feedback or a negati…