Evolution of the Motion Around a Slowly Rotating Body | ||||
International Conference on Aerospace Sciences and Aviation Technology | ||||
Article 11, Volume 13, AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT- 13, May 26 – 28, 2009, May 2009, Page 1-10 PDF (173.29 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/asat.2009.23480 | ||||
View on SCiNiTO | ||||
Authors | ||||
W. M. El-Mahy; M. K. Ahmed; M. A. Awad; Z. M. Hayman | ||||
Cairo University. | ||||
Abstract | ||||
The motion of a satellite about a rotating triaxial body will be investigated, stressing on the case of slow rotation. The Hamiltonian of the problem will be formed including the zonal harmonic J2 and the leading tesseral harmonics C22 and S22. The small parameter of the problem is the spin rate (σ) of the primary. The solution proceeds through three canonical transformations to eliminate in succession; the short, intermediate and longperiod terms. Thus secular and periodic terms are to be retained up to orders four and two respectively. | ||||
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