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gravitational energy : ウィキペディア英語版
gravitational energy
Gravitational energy is potential energy associated with the gravitational field. This phrase is found frequently in scientific writings about quasars (quasi-stellar objects) and other active galaxies. Quasars generate and emit their energy from a very small region. The emission of large amounts of power from a small region requires a power source far more efficient than the nuclear fusion that powers stars. The release of gravitational energy by matter falling towards a massive black hole is the only process known that can produce such high power continuously. Stellar explosions – supernovas and gamma-ray bursts can do so, but only for a few weeks.〔
== Newtonian mechanics ==

According to classical mechanics, between two or more masses (or other forms of energy–momentum) a gravitational potential energy exists. Conservation of energy requires that this gravitational field energy is always negative.〔Alan Guth'' The Inflationary Universe: The Quest for a New Theory of Cosmic Origins'' (1997), Random House , ISBN 0-224-04448-6 Appendix A: ''Gravitational Energy'' demonstrates the negativity of gravitational energy.〕
Particularly, between any two point masses m and M (this works for the spherical bodies also), there always exists a gravitational force of F = GmM/r^2 where r is the distance between their centers. Increasing the distance from r = r_0 to r = r_1 reduces the force, but, since forces in Newton mechanics indicate how much potential energy is lost over space, F = - , this separation requires \int_^ dr = \left . \right \vert _^ = - = E of energy. Performing positive work equal to E units of energy, we can recede objects from ''r''0 to ''r''1 special units apart. By performing positive work equal to E = , the second term vanishes and objects are infinitely separated (r_1 = \infty). Because gravitational force stops pulling objects together at that distance, E = is known as gravitational binding energy, which is infinite at r_0 = 0 since the gravitational force is infinite there.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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