NDLI: Families of periodic orbits in the planar Hill’s four-body problem

Content Provider	Springer Nature Link
Author	Burgos García, Jaime
Copyright Year	2016
Abstract	In this work we perform numerical explorations of some families of planar periodic orbits in the Hill approximation of the restricted four-body problem. This approximation is obtained by performing a symplectic scaling which sends the two massive bodies to infinity, by the means of expanding the potential as a power series depending on the mass of the smallest primary, and taking the limit as this mass tends to zero. The limiting Hamiltonian depends only on the relative mass of the second smallest primary. The resulting dynamics shares similarities with both the restricted three-body problem and the restricted four-body problem. We focus on certain families of symmetric periodic orbits of the infinitesimal particle, for some values of the mass parameter. We explore the evolution of these families as the Jacobi constant, or, equivalently, the energy, is varied continuously, and provide details on the horizontal and vertical stability of each family.
Starting Page	1
Ending Page	21
Page Count	21
File Format	PDF
ISSN	0004640X
Journal	Astrophysics and Space Science
Volume Number	361
Issue Number	11
e-ISSN	1572946X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-10-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Four-body problem Hill’s approximation Equilibrium points Periodic orbits Trojan asteroids Stability Astrophysics and Astroparticles Astronomy, Observations and Techniques Cosmology Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) Astrobiology
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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