In physics, geometrothermodynamics (GTD) is a formalism developed in 2007 by Hernando Quevedo to describe the properties of thermodynamic systems in terms of concepts of differential geometry. Consider a thermodynamic system in the framework of classical equilibrium thermodynamics. The states of thermodynamic equilibrium are considered as points of an abstract equilibrium space in which a Riemannian metric can be introduced in several ways. In particular, one can introduce Hessian metrics like the Fisher information metric, the Weinhold metric, the Ruppeiner metric and others, whose components are calculated as the Hessian of a particular thermodynamic potential. Another possibility is to introduce metrics which are independent of the thermodynamic potential, a property which is shared by all thermodynamic systems in classical thermodynamics. Since a change of thermodynamic potential is equivalent to a Legendre transformation, and Legendre transformations do not act in the equilibrium space, it is necessary to introduce an auxiliary space to correctly handle the Legendre transformations. This is the so-called thermodynamic phase space. If the phase space is equipped with a Legendre invariant Riemannian metric, a smooth map can be introduced that induces a thermodynamic metric in the equilibrium manifold. The thermodynamic metric can then be used with different thermodynamic potentials without changing the geometric properties of the equilibrium manifold. One expects the geometric properties of the equilibrium manifold to be related to the macroscopic physical properties. The details of this relation can be summarized in three main points: 1. * Curvature is a measure of the thermodynamical interaction. 2. * Curvature singularities correspond to curvature phase transitions. 3. * Thermodynamic geodesics correspond to quasi-static processes. (Wikipedia).
Physics - Mechanics: Gravity (15 of 20) What is Geosynchronous Orbit?
Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to calculate the height for a satellite at geosynchronous orbit.
From playlist PHYSICS 18 GRAVITY
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From playlist GeoGebra Geometry
Gravitation (8 of 17) Geosynchronous and Geostationary Orbits
Explains the difference between geosynchronous and geostationary orbits. Shows how to calculate the height above the Earth's surface needed to achieve a geosynchronous orbit. A geosynchronous orbit is an orbit around the Earth for a satellite so that the orbital period of the satellite ma
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
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From playlist Geometer's Sketchpad
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#Trigonometry & #bearings: Set ups. Quick formative assessment: http://ow.ly/BMYe50I7kVs & http://ow.ly/p1JR50I7kVw. #GeoGebra
From playlist Trigonometry: Dynamic Interactives!
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Calculate the altitude of a satellite in geostationary orbit which is an orbit with the same 24 hour period as the Earth and always located directly over the same location on the equator. Geostationary orbit is a special case of geosynchronous orbit. A geosynchronous orbit simply has the s
From playlist IB Physics 6.2: Newton's Law of Gravitation
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Create a #GeoGebra lesson out of https://www.geogebra.org/m/byevwtd8 , have remote & in-class Ss join, & observe everyone’s thinking in real time! Here, evaluating compositions of #trig & inverse trig functions: https://www.geogebra.org/m/ezkfbxsu
From playlist Trigonometry: Dynamic Interactives!
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Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
A very quick demo of how to access the 2D and 3D calculator on Geogebra.
From playlist Geogebra