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Celestial Mechanics and Dynamical Astronomy Equations for the orbital elements : Hidden symmetry
We revisit the Lagrange and Delaunay systems of equations for the orbital elements, and point out a previously neglected aspect of these equations: in both cases the orbit resides on a certainExpand
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Relativistic Celestial Mechanics of the Solar System
1 Newtonian celestial mechanics 2 Introduction to Special Relativity 3 General Relativity 4 Relativistic Reference Frames 5 Post-Newtonian Coordinate Transformations 6 Relativistic CelestialExpand
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TIDAL DISSIPATION COMPARED TO SEISMIC DISSIPATION: IN SMALL BODIES, EARTHS, AND SUPER-EARTHS
While the seismic quality factor and phase lag are defined solely by the bulk properties of the mantle, their tidalExpand
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Physics of Bodily Tides in Terrestrial Planets and the Appropriate Scales of Dynamical Evolution
Any model of tides is based on a specific hypothesis of how lagging depends on the tidal- flexure frequency �. For example, Gerstenkorn (1955), MacDonald (1964), and Kaula (1964) assumed constancy ofExpand
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Bodily tides near spin–orbit resonances
Spin–orbit coupling can be described in two approaches. The first method, known as the “MacDonald torque”, is often combined with a convenient assumption that the quality factor Q isExpand
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Tidal torques: a critical review of some techniques
We review some techniques employed in the studies of torques due to bodily tides, and explain why the MacDonald formula for the tidal torque is valid only in the zeroth order of the eccentricityExpand
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The tidal history of Iapetus: Spin dynamics in the light of a refined dissipation model
[1] We study the tidal history of an icy moon, basing our approach on a dissipation model, which combines viscoelasticity with anelasticity and takes into account the microphysics of attenuation. WeExpand
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No pseudosynchronous rotation for terrestrial planets and moons
We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronousExpand
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Tidal dissipation in a homogeneous spherical body. II. Three examples: Mercury, Io, and Kepler-10 b
Abstract : In Efroimsky & Makarov (Paper I), we derived from the first principles a formula for the tidal heating rate in a homogeneous sphere, compared it with the previously used formulae, andExpand
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Inelastic dissipation in wobbling asteroids and comets
Asteroids and comets dissipate energy when they rotate about any axis different from the axis of the maximal moment of inertia. We show that the most efficient internal relaxation happens at twiceExpand
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