Ultrarelativistic limit

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Ultrarelativistic limit
In physics, a particle is called ultrarelativistic when its speed is very close to the speed of light , such that its total energy is almost completely due to its momentum (), and thus can be approximated by . This can result from holding the mass fixed and increasing p to very large values (the usual case); or by holding the energy E fixed and shrinking the mass m to negligible values. The latter is used to derive orbits of massless particles such as the photon from those of massive particles (cf. Kepler problem in general relativity).
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