Existence and linear stability of equilibrium points in the Robe's restricted three-body problem with oblateness

DOI10.1155/2012/679063zbMath1329.70034OpenAlexW2126187553WikidataQ58699580 ScholiaQ58699580MaRDI QIDQ447510

Jagadish Singh, Abubakar Umar Sandah

Publication date: 4 September 2012

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/679063

Mathematics Subject Classification ID

Three-body problems (70F07) Stability problems in rigid body dynamics (70E50)

Related Items (5)

Unnamed Item ⋮ Perturbed Robe’s restricted problem of 2+2 bodies when the primaries form a Roche ellipsoid-triaxial system ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem
• Stability of the photogravitational restricted three-body problem with variable masses
• Robe's restricted three-body problem with drag
• Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid
• A new kind of 3-body problem
• The existence and stability of equilibrium points in the Robe's restricted three-body problem

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