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Figure 1: Tidal interaction between the spiral galaxy NGC 169 and a smaller companion [1]. The tidal force or tide-generating force is a gravitational effect that stretches a body along the line towards and away from the center of mass of another body due to spatial variations in strength in gravitational field from the other body.
The central force is then, of course, zero. A small force remains towards the right, directed rightwards. A small force, directed leftwards, remains at the left. This is why (perhaps somewhat counter-intuitively) tidal forces lead to a bulge on both sides of the smaller planet. Date: 20 October 2009: Source: File:Tidal-forces.png: Author
The most common example of tides is the tidal force around a spherical body (e.g., a planet or a moon). Here we compute the tidal tensor for the gravitational field outside an isolated spherically symmetric massive object. According to Newton's gravitational law, the acceleration a at a distance r from a central mass m is
High and low tide in the Bay of Fundy. The theory of tides is the application of continuum mechanics to interpret and predict the tidal deformations of planetary and satellite bodies and their atmospheres and oceans (especially Earth's oceans) under the gravitational loading of another astronomical body or bodies (especially the Moon and Sun).
Mathematically, the tidal force in general relativity is described by the Riemann curvature tensor, [1] and the trajectory of an object solely under the influence of gravity is called a geodesic. The geodesic deviation equation relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics.
Tidal range is the difference in height between high tide and low tide. Tides are the rise and fall of sea levels caused by gravitational forces exerted by the Moon and Sun , by Earth's rotation and by centrifugal force caused by Earth's progression around the Earth-Moon barycenter .
Tides are generated as a result of gravitational attraction by the Sun and Moon. [8] This gravitational attraction results in a tidal force that acts on the ocean. [8] The ocean reacts to this external forcing by generating, in particular relevant for describing tidal behaviour, Kelvin waves and Poincaré waves (also known as Sverdrup waves). [8]
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