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The Spin–Spin Problem in Celestial Mechanics [PDF]
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 +6 more sources
Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics [PDF]
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
Degenerate billiards in celestial mechanics [PDF]
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
semanticscholar +5 more sources
celmech: A Python Package for Celestial Mechanics [PDF]
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]
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]
M. Söffel+19 more
exaly +2 more sources
Numerical integration in Celestial Mechanics: a case for contact geometry [PDF]
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
Quaternion methods and models of regular celestial mechanics and astrodynamics
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
Universal symbolic expression for radial distance of conic motion [PDF]
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.
doaj +1 more source