A complete closed form vectorial solution to the Kepler problem

Classical Mechanics; Kepler problem; Sundman transformation; Vectorial regularization; Computation theory; Mathematical transformations; Motion estimation; Problem solving; Kepler problems; Vectors

Abstract :

[en] The paper gives an exact vectorial solution to the Kepler problem. A vectorial regularization that linearizes the Kepler problem is given using a Sundman transformation. Closed form expressions describing the Keplerian motion are deduced. A unified approach to the classic Kepler problem is offered, by studying both rectilinear and non-rectilinear Keplerian motions with the same instrument. The approach is an elementary one and only simple vectorial computations are involved. © 2007 Springer Science+Business Media B.V.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Condurache, D.; Department of Theoretical Mechanics, Technical University Gheorghe Asachi, Iasi, Romania

Martinusi, Vladimir ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Title :

A complete closed form vectorial solution to the Kepler problem

Publication date :

2007

Journal title :

Meccanica

ISSN :

0025-6455

eISSN :

1572-9648

Publisher :

Kluwer Academic Publishers, Netherlands

Volume :

Issue :

Pages :

465-476

Peer reviewed :

Peer reviewed

Available on ORBi :

since 12 February 2015

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Bibliography

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