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test particle : ウィキペディア英語版
test particle

In physical theories, a test particle is an idealized model of an object whose physical properties (usually mass, charge, or size) are assumed to be negligible except for the property being studied, which is considered to be insufficient to alter the behavior of the rest of the system. The concept of a test particle often simplifies problems, and can provide a good approximation for physical phenomena. In addition to its uses in the simplification of the dynamics of a system in particular limits, it is also used as a diagnostic in computer simulations of physical processes.
==Classical gravity==

The easiest case for the application of a test particle arises in Newtonian gravity. The general expression for the gravitational force between two masses m_1 and m_2 is:
:F(r) = -G \frac
where r_1 and r_2 represent the position of each particle in space. In the general solution for this equation, both masses rotate around their center of mass, in this specific case:
:R = \frac

In the case where one of the masses is much larger than the other (m_1>>m_2), one can assume that the smaller mass moves as a test particle in a gravitational field generated by the larger mass, which does not accelerate. By defining the gravitational field as
g(r) = \frac
with r as the distance between the two objects, the equation for the motion of the smaller mass reduces to
a(r) = \frac = -g(r)
and thus only contains one variable, for which the solution can be calculated more easily. This approach gives very good approximations for many practical problems, e.g. the orbits of satellites, whose mass is relatively small compared to that of the earth.

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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