Il Nuovo Cimento B (1971-1996)

, Volume 98, Issue 1, pp 87–96 | Cite as

Orbits in general relativity: The Jacobian elliptic functions

  • C. Miró Rodríguez
Article
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Summary

The Jacobian elliptic functions are applied to the motion of monzero-rest-mass particles in the Schwarzschild geometry. The bound and unbound trajectories are analysed together with their classical and special-relativity limits.

PACS. 04.20.Jb

Solutions to equations 

Орбиты в общем теории относительности: эллиптические функции Якоби

Резюме

Для описания движения частиц с отличной от нуля массой покоя в геометрии Шварцшильда применяются эллиптические функции Якоби. Ограниченные и неограниченные траектории анализируются вместе с их классическими пределаами и пределами в специальной теории относительности.

Riassunto

Le funzioni ellittiche jacobiane sono applicate al movimento delle particelle con massa in riposo diversa da zero nella geometria di Schwarzschild. Le traiettorie legate e non legate sono analizzate insieme con i loro limiti classici e di relatività ristretta.

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Copyright information

© Società Italiana di Fisica 1987

Authors and Affiliations

  • C. Miró Rodríguez
    • 1
  1. 1.Departmento de Física, Facultad de VeterinariaUniversidad de ExtremaduraCaceresSpain

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