Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics [PDF]
Bollettino dell'Unione Matematica Italiana, 2023 Perturbative methods have been developed and widely used in the XVIII and XIX century to study the behavior of N -body problems in Celestial Mechanics. Such methods apply to nearly-integrable Hamiltonian systems and they have the remarkable property to ...
Alessandra Celletti, Tudor Vartolomei
openalex +2 more sources
Celestial Mechanics, Conformal Structures, and Gravitational Waves [PDF]
, 2005 The equations of motion for $N$ non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a covariantly constant null ...
A. A. Koppel +61 more
core +2 more sources
Weakly asymptotically quasiperiodic solutions for time-dependent Hamiltonians with a view to celestial mechanics [PDF]
Journal of Differential Equations, 2022 Donato Scarcella
openalex +3 more sources
Exponential stability of fast driven systems, with an application to celestial mechanics [PDF]
Nonlinear Analysis, 2021 Qinbo Chen, Gabriella Pinzari
openalex +2 more sources
celmech: A Python Package for Celestial Mechanics [PDF]
Astronomical Journal, 2022 We present celmech, an open-source Python package designed to facilitate a wide variety of celestial mechanics calculations. The package allows users to formulate and integrate equations of motion incorporating user-specified terms from the classical ...
S. Hadden, D. Tamayo
semanticscholar +1 more source
Revisiting high-order Taylor methods for astrodynamics and celestial mechanics [PDF]
Monthly notices of the Royal Astronomical Society, 2021 We present heyoka, a new, modern and general-purpose implementation of Taylor’s integration method for the numerical solution of ordinary differential equations.
F. Biscani, D. Izzo
semanticscholar +1 more source
The Spin–Spin Problem in Celestial Mechanics [PDF]
Journal of nonlinear science, 2021 We study the dynamics of two homogeneous rigid ellipsoids subject to their mutual gravitational influence. We assume that the spin axis of each ellipsoid coincides with its shortest physical axis and is perpendicular to the orbital plane.
A. Celletti +2 more
semanticscholar +1 more source
Numerical integration in Celestial Mechanics: a case for contact geometry [PDF]
Celestial mechanics & dynamical astronomy, 2020 Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton equation with time-dependent damping, linear in the velocities.
Marcello Seri +3 more
semanticscholar +2 more sources
The mass of (1) Ceres obtained from four close encounters [PDF]
Serbian Astronomical Journal, 2005 The technique of asteroid mass determination from perturbation during close approach requires as many as possible different close approaches in order to derive reliable mass of a perturber.
Kovačević Anđelka B. +1 more
doaj +1 more source
Quaternion methods and models of regular celestial mechanics and astrodynamics
Applied Mathematics and Mechanics, 2022 This paper is a review, which focuses on our work, while including an analysis of many works of other researchers in the field of quaternionic regularization.
Y. Chelnokov
semanticscholar +1 more source