Displaying similar documents to “Reconstruction of the satellite orbit via orientation angles.”

On surface braids of index four with at most two crossings

Teruo Nagase, Akiko Shima (2005)

Fundamenta Mathematicae

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Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.

Reidemeister orbit sets

Boju Jiang, Seoung Ho Lee, Moo Ha Woo (2004)

Fundamenta Mathematicae

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The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending Ferrario's work on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets. Similar formulae for Nielsen type essential orbit numbers are also proved for fibre preserving maps.

To the interpretation of the osculations of orbits and the in-space launching point of artificial cosmic bodies

Karel Mišoň (1969)

Aplikace matematiky

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The case of transferring the rocket from the prescribed path of departure to the transfer orbit osculating another given complanar rocket trajectory of arrival is studied. The introducing to the transfer orbit is realized only by a change of the modulus of velocity of the rocket without changing the flight direction. The requirement of osculating the two conic sections leads to a solution of an algebraic-trigonometric system which is numerically labourious. The prescription of the position...