Bifurcations of separatrices in the averaged planar general three-body problem at first-order resonance

DOI10.1007/BF00691899zbMath0824.70006MaRDI QIDQ1804298

Vladimir N. Shinkin

Publication date: 11 May 1995

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

phase planelibration resonance phase

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15)

Related Items (1)

The integrable cases of the three-body problem at second-order resonance under the high oblateness of the central body

Cites Work

• Unnamed Item
• The integrable cases of the planetary three-body problem at first-order resonance
• Motion of two planets with periods commensurable in the ratio 2?1 solutions of the hori auxiliary system
• A perturbation method for problems with two critical arguments
• Lagrange variational equations from Hori's method for canonical systems

This page was built for publication: Bifurcations of separatrices in the averaged planar general three-body problem at first-order resonance