The elliptical three‐body problem. Triangular solution | Zendy

Todoran I. | Zendy; Roman R. | Zendy

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The elliptical three‐body problem. Triangular solution

Author(s) -

Todoran I.,

Roman R.

Publication year - 1992

Publication title -

astronomische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.394

H-Index - 63

eISSN - 1521-3994

pISSN - 0004-6337

DOI - 10.1002/asna.2113130510

Subject(s) - three body problem , physics , lagrangian point , orbit (dynamics) , lagrangian , geometry , situated , combinatorics , mathematics , classical mechanics , mathematical physics , mathematical analysis , computer science , aerospace engineering , engineering , artificial intelligence

The restricted three‐body problem with eccentric orbit is reviewed and the positions of the triangular Lagrangian points ( L 4 , L 5 ) are determined. It is put in evidence the fact the fact L 4 and L 5 are situated at the corners of an isoscales triangle: AB = BC = 1 − e 2 /)1 + e cos ν )4/3 and AC = 1 − e 2 /)1 + e cos ν )

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