1-(Piperidin-1-yl)-9,10-anthraquinone

Wnuk, Elżbieta; Niedziałkowski, Paweł; Trzybiński, Damian; Ossowski, Tadeusz

doi:10.1107/s1600536812037713

Cited by 6 publications

(1 citation statement)

References 9 publications

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“…Chobotov 1991). Often used are also the canonical transformations using such as Hill variables (Cui 1990(Cui , 1997Schneider & Cui 2005) and Delaunay elements (Kaula 1966;Wnuk 1990). These are traditional methods which may be used to solve the singularity problem; however, the solution has never meanwhile been obtained and transformed inversely.…”

Section: Ag R a N G I A N A N D G Au S S I A N E Q Uat I O N S O F mentioning

confidence: 99%

On the singularity problem in orbital mechanics

Xu¹,

Xu²

2012

Monthly Notices of the Royal Astronomical Society

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In this paper an algorithm to deal with the singularity problem in the orbital mechanics is proposed. Lagrangian and Gaussian equations of motion are transformed into singularity-free ones by multiplying the so-called singular factors to the individual equations and the intermediate solutions can be derived by indefinite integration. Two criteria are introduced to decide how to transform the intermediate solutions into the solutions of the original problems inversely. Two examples, orbit solutions disturbed by the solar oblateness and the solar radiation pressure, are given to show the applicability of the algorithm. A similar method to solve the so-called critical inclination problem is also discussed with an example. Comments on the traditional variable transformations used to solve the singularity problem are also addressed.

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Section: Ag R a N G I A N A N D G Au S S I A N E Q Uat I O N S O F mentioning

confidence: 99%