Nonlinear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness

DOI10.1007/BF00637811zbMath0925.70118MaRDI QIDQ1370895

E. A. Perdios, V. V. Markellos, K. E. Papadakis

Publication date: 9 March 1999

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

parameter spaceresonant casesmass parameteroblateness coefficient

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20)

Related Items (13)

Effects of Poynting-Robertson (P-R) drag, radiation, and oblateness on motion around the L_4,5 equilibrium points in the CR3BP ⋮ The effect of photogravitational force and oblateness in the perturbed restricted three-body problem ⋮ The effect of oblateness in the perturbed restricted three-body problem ⋮ On the perturbed restricted three-body problem ⋮ Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem ⋮ Nonlinear stability in the restricted three-body problem with oblate and variable mass ⋮ The effect of radiation pressure on the equilibrium points in the generalized photogravitational restricted three body problem ⋮ Nonlinear stability in the generalised photogravitational restricted three body problem with Poynting-Robertson drag ⋮ Families of periodic orbits in Hill's problem with solar radiation pressure: application to Hayabusa 2 ⋮ Non-linear stability of triangular equilibrium points in ER3BP under radiating primaries in presence of resonance ⋮ Linear stability of equilibrium points in the generalized photogravitational Chermnykh's problem ⋮ Effect of oblateness and radiation pressure on angular frequencies at collinear points ⋮ The perturbed photogravitational restricted three-body problem: analysis of resonant periodic orbits

Cites Work

• Unnamed Item
• Position and velocity sensitivities at the triangular libration points
• Effect of perturbed potentials on the stability of libration points in the restricted problem
• The motion of the perihelion of Trojan asteroids
• Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid

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