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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 [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
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Degenerate billiards in celestial mechanics [PDF]
Regular and Chaotic Dynamics, 2016 In an ordinary billiard trajectories of a Hamiltonian system are elastically reflected after a collision with a hypersurface (scatterer). If the scatterer is a submanifold of codimension more than one, we say that the billiard is degenerate.
S. Bolotin
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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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The IAU 2000 Resolutions for Astrometry, Celestial Mechanics, and Metrology in the Relativistic Framework: Explanatory Supplement [PDF]
Astronomical Journal, 2003 M. Söffel +19 more
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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
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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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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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