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
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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
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Weakly asymptotically quasiperiodic solutions for time-dependent Hamiltonians with a view to celestial mechanics [PDF]
Journal of Differential Equations, 2022 We consider the planar three-body problem perturbed by a celestial body modeled as a time-dependent perturbation that decays in time. We assume that the motion of the celestial body is given and is unbounded with a non-zero asymptotic velocity.
Donato Scarcella
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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
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Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics
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 ...
A. Celletti, T. Vartolomei
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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
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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
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On stability of triangular points of the restricted relativistic elliptic three-body problem with triaxial and oblate primaries [PDF]
Serbian Astronomical Journal, 2017 This paper investigates the location and linear stability of triangular points under combined effects of perturbations: triaxialty of a massive primary, oblateness of a less massive one, and relativistic corrections. The primaries in this system
Zahra K. +3 more
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Universal symbolic expression for radial distance of conic motion [PDF]
Serbian Astronomical Journal, 2014 In the present paper, a universal symbolic expression for radial distance of conic motion in recursive power series form is developed. The importance of this analytical power series representation is that it is invariant under many operations ...
Sharaf M.A., Saad A.S., Alshaery A.A.
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Collision dynamics in Hénon-Heiles’ two-body problem [PDF]
Serbian Astronomical Journal, 2003 We tackle the two-body problem associated to Hénon-Heiles’ potential in the special case of the collision singularity. Using McGehee-type transformations of the second kind, we blow up the singularity and replace it by the collision manifold Mc pasted on
Mioc V., Barbosu M.
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