The zonal satellite problem - II: Near-escape flow | Zendy

Vasile Mioc | Zendy; Magda Stavinschi | Zendy

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The zonal satellite problem - II: Near-escape flow

Author(s) -

Vasile Mioc,

Magda Stavinschi

Publication year - 1998

Publication title -

serbian astronomical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.196

H-Index - 16

eISSN - 1820-9289

pISSN - 1450-698X

DOI - 10.2298/saj9858037m

Subject(s) - singularity , angular momentum , infinity , flow (mathematics) , manifold (fluid mechanics) , phase space , physics , space (punctuation) , mathematics , symmetry (geometry) , mathematical analysis , zonal flow (plasma) , classical mechanics , momentum (technical analysis) , mathematical physics , geometry , quantum mechanics , mechanical engineering , linguistics , philosophy , plasma , finance , engineering , economics , tokamak

The study of the zonal satellite problem is continued by tackling the situation r→∞. New equations of motion (for which the infinite distance is a singularity) and the corresponding first integrals of energy and angular momentum are set up. The infinity singularity is blown up via McGehee-type transformations, and the infinity manifold is pasted on the phase space. The fictitious flow on this manifold is described. Then, resorting to the rotational symmetry of the problem and to the angular momentum integral, the near-escape local flow is depicted. The corresponding phase curves are interpreted as physical motions

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