Document Details

Document Type : Article In Journal 
Document Title :
Expansion Theory for the Elliptic Motion of Arbitrary Eccentricity and Semi-major Axis XIII. Developments of the Mean Anomaly g‘ of the Disturbing Body and cos mg` , sin mg` in the Sectorial Regularized Theory
النظرية المفكوكية للحركة الإهليليجية ذات الاختلاف المركزي ونصف المحور الأكبر الاختياريين XIII تحسين الحصة المتوسطة g للجسم المقلق و sin mg & cos mg فيالنظرية النظامية للقطاعات
 
Subject : mathematics 
Document Language : English 
Abstract : In this paper of the series, the fourth step of the sectorial regularized theory will start by establishing the exact literal analytical expressions for g` and the doubly trigonometric series representations of cos mg` and sin mg` where m positive integer. Moreover, some recurrence formulae are also established to facilitate digital computations for the coefficients of the series representations of cos mg` and sin mg`. All the formulations developed in the paper are general in the sense that they are valid whatever the types and the number of sectors forming the divisions situation of the elliptic orbit may be. In addition they are also valid during any revolution of the perturbed body in its Keplerian orbit. Finally, we include some numerical results for the coefficients of the trigonometric series representations of dg/d?j (i) (?j (i) are the sectorial variables) to provide test examples for constructing computational algorithms . 
ISSN : 1012-1319 
Journal Name : Science Journal 
Volume : 15 
Issue Number : 1 
Publishing Year : 1423 AH
2003 AD 
Number Of Pages : 20 
Article Type : Article 
Added Date : Sunday, October 11, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمد عادل شرفM.A. SHARAFResearcher  
سميحة عبدالله عباس نجم الدين القاريS.A. NAJMULDEEN Researcher  

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