Non-integrability of the problem of motion around an oblate planet
type: Item
instance of: scholarly article
title: Non-integrability of the problem of motion around an oblate planet
zbMATH Open document ID: 0827.70006
DOI: 10.1007/BF00051896
author: Alessandra Celletti
author: P. Negrini
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1995-07-24T00:00:00Z
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 777724
zbMATH Keywords: J(2)-problem
zbMATH Keywords: Lerman theorem
zbMATH Keywords: phase space
zbMATH Keywords: chaotic motions
MaRDI profile type: Publication
cites work: On the motion of two-dimensional vortices with mass
cites work: Q5554567
cites work: Non integrability of the \(J_ 2\) problem
cites work: Q3978425
cites work: Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
cites work: A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
cites work: Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
full work available at URL: https://doi.org/10.1007/bf00051896
OpenAlex ID: W2009861230
description: scientific article; zbMATH DE number 777724