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The maximum range of a relativistic throw in a uniform force field

†  a, b, ‡  b
a N.E. Zhukovskii Central Aerohydrodynamics Institute, ul. Zhukovskogo 1, Zhukovskii, Moscow Region, 140180, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russian Federation

The problem of relativistic physics is solved to find the initial angle of a maximum range throw in a uniform force field with a fixed initial velocity. Two physically different formulations are considered: the relativistic motion of a charged particle in a uniform electric field, and the motion of a particle in a uniform gravitational field in accordance with the general theory of relativity. It is shown that the maximum range throw angle in both cases monotonously depends on the initial velocity, increasing from 45° for velocities small compared to the speed of light to approximately ≈ 56,5° for motion in a uniform electric field and to 90° for motion in a uniform gravitational field, at velocities approaching the speed of light.

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Correspondence should be addressed to
Keywords: relativistic motion, uniform electromagnetic field, general theory of relativity, Rindler metric
PACS: 03.30.+p, 04.20.−q (all)
DOI: 10.3367/UFNe.2026.09.040198
URL: https://ufn.ru/en/articles/2026/10/h/
Citation: Demyanov M A, Kondratenko N A "The maximum range of a relativistic throw in a uniform force field" Phys. Usp. 69 (10) (2026)

Received: 20th, February 2026, revised: 26th, May 2026, 18th, September 2026

Оригинал: Демьянов М А, Кондратенко Н А «Максимальная дальность релятивистского броска тела в однородном силовом поле» УФН 196 1114–1119 (2026); DOI: 10.3367/UFNr.2026.09.040198

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