Abstract
The equations of the inverse problem of dynamics are used in order to obtain planar and spatial potentials of Hénon-Heiles type, which give rise to some special families of curves. The curves of such a family can be traced by a material point of unit mass, with suitable initial conditions, moving under the action of the specific potential. We determine the region where the motion is possible, as well as the total energy of the particle.
Authors
Mira-Cristiana Anisiu
Tiberiu Popoviciu Institute of Numerical Analysis Cluj-Napoca, Romanian Academy
Keywords
celestial mechanics – inverse problem of dynamics – families of orbits.
Paper coordinates
M.-C. Anisiu, Families of orbits in conservative fields of Hénon-Heiles type, Rom. Astron. J. 16 suppl. (2006), Proceedings of the Scientific Session Scientific Programs and Astronomy Education in SEE and Ukraine, 75-80, https://www.astro.ro/~roaj/volume/abs16_3.html#11
About this paper
Journal
Astronomische Nacrichten
Publisher Name
Astronomical Notes
DOI
Print ISSN
Online ISSN
0004-6337
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