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
Other Title(s)
النظرية المفكوكية للحركة الإهليلجية ذات الاختلاف المركزي و نصف المحور الأكبر الاختيارين XIII تحسين الحصة المتوسطة g´ للجسم المقلق و sin mg´ و cos mg´ في النظرية النظامية للقطاعات
Joint Authors
al-Qari, Samihah Abd Allah Abbas Najm al-Din
Sharaf, Muhammad Adil Abd al-Aziz
Source
Journal of King Abdulaziz University : Sciences
Issue
Vol. 15, Issue 1 (31 Dec. 2003), pp.43-63, 21 p.
Publisher
King Abdulaziz University Scientific Publishing Center
Publication Date
2003-12-31
Country of Publication
Saudi Arabia
No. of Pages
21
Main Subjects
Abstract EN
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/dθj (i) (θj (i) are the sectorial variables) to provide test examples for constructing computational algorithms .
American Psychological Association (APA)
Sharaf, Muhammad Adil Abd al-Aziz& al-Qari, Samihah Abd Allah Abbas Najm al-Din. 2003. 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. Journal of King Abdulaziz University : Sciences،Vol. 15, no. 1, pp.43-63.
https://search.emarefa.net/detail/BIM-367710
Modern Language Association (MLA)
Sharaf, Muhammad Adil Abd al-Aziz& al-Qari, Samihah Abd Allah Abbas Najm al-Din. 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. Journal of King Abdulaziz University : Sciences Vol. 15, no. 1 (Dec. 2003), pp.43-63.
https://search.emarefa.net/detail/BIM-367710
American Medical Association (AMA)
Sharaf, Muhammad Adil Abd al-Aziz& al-Qari, Samihah Abd Allah Abbas Najm al-Din. 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. Journal of King Abdulaziz University : Sciences. 2003. Vol. 15, no. 1, pp.43-63.
https://search.emarefa.net/detail/BIM-367710
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 62
Record ID
BIM-367710