Tidal acceleration

Tidal acceleration refers to the gradual increase in the length of the Earth's solar day due to the gravitational pull of celestial objects such as the Moon. This acceleration is caused by the difference between the gravity acceleration applied to a point on the Earth's surface and the mass center of the Earth.From: Renewable Energy Systems [2013], Persian gulf and Oman sea tide modeling using satellite altimetry and tide gauge data (TM-IR01) [2018]

Introduction

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Published in Fang Lin Luo, Hong Ye, Renewable Energy Systems, 2013

Fang Lin Luo, Hong Ye

The Earth’s rotation period relative to the Sun—its mean solar day—is 86,400 s of mean solar time (86,400.0025 s). As the Earth’s solar day is now slightly longer than it was during the nineteenth century because of tidal acceleration, each day varies between 0 and 2 ms longer. The Earth rotates 361° a day (considering the revolution surrounding the Sun).

Persian gulf and Oman sea tide modeling using satellite altimetry and tide gauge data (TM-IR01)

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Published in Marine Georesources & Geotechnology, 2018

A. Soltanpour, M. Pirooznia, S. Aminjafari, P. Zareian

Tides are the regular ebbing and flowing movement of the sea happening as the result of attractions of celestial near-Earth bodies, such as the Sun and the Moon. Tidal acceleration due to celestial objects such as Moon at any point on the Earth surface is the difference between the gravity acceleration applied to that point and the mass center of the Earth. The vector field of these forces can be replaced by a scalar field named potential of tides (Vaníček and Krakiwsky 1986). In each point of the Earth surface, tidal potential can be computed by (Melchior 1974): where G is the universal constant of gravity, M is the mass of celestial object (Moon or Sun), Re is the average radius of the Earth, R is the geocentric distance, θ is the zenithal distance of a point with coordinates and Pi is legendre polynomial (Agnew 2007). Main term of this relation [Eq. (1)] is achieved when i = 2. However, in some cases when i = 3 is also used for the Moon. Thus, the main indicator term of tidal potential describes as below: considering spherical trigonometry relations (Wang 2004):

Tidal acceleration

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Introduction

Persian gulf and Oman sea tide modeling using satellite altimetry and tide gauge data (TM-IR01)