SOLVING THE INVERSE PROBLEM OF AN AIRPLANE PLANNER MOTION VIA DIRECT APPLICATION OF HAMILTON'S LAW OF VARYING ACTION
Raffle, A., Argoun, M., Hassan, S. (2019). SOLVING THE INVERSE PROBLEM OF AN AIRPLANE PLANNER MOTION VIA DIRECT APPLICATION OF HAMILTON'S LAW OF VARYING ACTION. EKB Journal Management System, 7(ASAT Conf. 13-15 May 1997), 1-17. doi: 10.21608/asat.2019.25449
A. Y. Raffle; M. B. Argoun; S. D. Hassan. "SOLVING THE INVERSE PROBLEM OF AN AIRPLANE PLANNER MOTION VIA DIRECT APPLICATION OF HAMILTON'S LAW OF VARYING ACTION". EKB Journal Management System, 7, ASAT Conf. 13-15 May 1997, 2019, 1-17. doi: 10.21608/asat.2019.25449
Raffle, A., Argoun, M., Hassan, S. (2019). 'SOLVING THE INVERSE PROBLEM OF AN AIRPLANE PLANNER MOTION VIA DIRECT APPLICATION OF HAMILTON'S LAW OF VARYING ACTION', EKB Journal Management System, 7(ASAT Conf. 13-15 May 1997), pp. 1-17. doi: 10.21608/asat.2019.25449
Raffle, A., Argoun, M., Hassan, S. SOLVING THE INVERSE PROBLEM OF AN AIRPLANE PLANNER MOTION VIA DIRECT APPLICATION OF HAMILTON'S LAW OF VARYING ACTION. EKB Journal Management System, 2019; 7(ASAT Conf. 13-15 May 1997): 1-17. doi: 10.21608/asat.2019.25449

SOLVING THE INVERSE PROBLEM OF AN AIRPLANE PLANNER MOTION VIA DIRECT APPLICATION OF HAMILTON'S LAW OF VARYING ACTION

International Conference on Aerospace Sciences and Aviation Technology
Article 54, Volume 7, ASAT Conf. 13-15 May 1997, May 1997, Page 1-17  XML PDF (4.1 MB)
Document Type: Original Article
DOI: 10.21608/asat.2019.25449
View on SCiNiTO View on SCiNiTO
Authors
A. Y. Raffle1; M. B. Argoun2; S. D. Hassan2
1Graduat student.
2Professor, Dept. of Aerospace Engineering, Cairo University.
Abstract
The inverse problem for the airplane planner motion is analyzed through direct application of Hamilton's law of varying action. Using this technique one can approach the problem by solving a set of nonlinear algebraic equations only; i.e. no differential equations are needed. In this case the mass center trajectory and the required controls are approximated as a truncated power series. Direct application of Hamilton's law establishes the governing relations between those input and output coefficients. The problem is then solved in the coefficient domain to obtain the unknown control coefficients. The problem is formulated and solved for both time dependent and space dependent specified trajectories. Two illustrative numerical examples are provided to demonstrate the technique.
Keywords
Flight dynamics - Flight control- Analytical dynamics; Hamilton's Law
Statistics
Article View: 135
PDF Download: 239