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・ Hypercompe ocularia
・ Hypercompe orbiculata
・ Hypercompe orsa
・ Hypercompe oslari
・ Hypercompe permaculata
・ Hypercompe perplexa
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・ Hyperbolic law of cosines
・ Hyperbolic link
・ Hyperbolic manifold
・ Hyperbolic motion
Hyperbolic motion (relativity)
・ Hyperbolic navigation
・ Hyperbolic orthogonality
・ Hyperbolic partial differential equation
・ Hyperbolic plane (disambiguation)
・ Hyperbolic point
・ Hyperbolic quaternion
・ Hyperbolic secant distribution
・ Hyperbolic sector
・ Hyperbolic set
・ Hyperbolic space
・ Hyperbolic spiral
・ Hyperbolic structure
・ Hyperbolic tetrahedral-octahedral honeycomb
・ Hyperbolic trajectory


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Hyperbolic motion (relativity) : ウィキペディア英語版
Hyperbolic motion (relativity)
Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation describing the path of the object through spacetime is a hyperbola, as can be seen when graphed on a Minkowski diagram.
The proper acceleration \alpha of a particle is defined as the acceleration that a particle "feels" as it accelerates from one inertial reference frame to another. This can be derived mathematically as
:\alpha=\frac,
where u is the instantaneous speed of the particle, c is the speed of light, and t is time. Solving for the equation of motion results in
:x^2-c^2t^2=c^4/\alpha^2,
which is a hyperbola in time and the spatial location variable x.
Hyperbolic motion is easily visualized on a Minkowski diagram, where the motion of the accelerating particle is along the x-axis. Each hyperbola is defined by
:X=c^2/\alpha.
==See also==

* Rindler coordinates

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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