id author title date pages extension mime words sentence flesch summary cache txt american_scientific_journal-2073 Khan, Rehan Rasheed; Bhatti, Dr. Umer Iqbal Design and Control of High Altitude Platform for Communication and Navigation Purpose 2016 25 .pdf application/pdf 8526 439 56 The added inertia moments and mass introduced in the following expressions: i. Longitudinal Equations The following section stated the linearized longitudinal motion equations for airship: π‘šπ‘šπ‘šπ‘šοΏ½Μ‡οΏ½π‘’+ οΏ½π‘šπ‘šπ‘Žπ‘Žπ‘§π‘§βˆ’ οΏ½Μ‡οΏ½π‘‹οΏ½Μ‡οΏ½π‘ŸοΏ½οΏ½Μ‡οΏ½π‘ž = π‘‹π‘‹π‘Ÿπ‘Ÿ βˆ’π‘šπ‘šπ‘§π‘§π‘Šπ‘Šπ‘Ÿπ‘Ÿπ‘žπ‘ž+ �̇�𝑋𝑒𝑒𝑒𝑒+ �̇�𝑋𝑀𝑀𝑀𝑀+ οΏ½Μ‡οΏ½π‘‹π‘Ÿπ‘Ÿπ‘žπ‘ž+ �̇�𝑋𝛿𝛿(π›Ώπ›Ώπ‘Ÿπ‘Ÿ + π›Ώπ›Ώπ‘Ÿπ‘Ÿ) + 𝑇𝑇𝑠𝑠 cosπœ‡πœ‡π‘ π‘  + 𝑇𝑇𝑝𝑝 cosπœ‡πœ‡π‘π‘ βˆ’ (π‘šπ‘šπ‘”π‘”βˆ’π΅π΅)(sinπœƒπœƒπ‘Ÿπ‘Ÿ +Θ cosπœƒπœƒπ‘Ÿπ‘Ÿ) π‘šπ‘šπ‘§π‘§οΏ½Μ‡οΏ½π‘€βˆ’ οΏ½π‘šπ‘šπ‘Žπ‘Žπ‘šπ‘š βˆ’ οΏ½Μ‡οΏ½π‘οΏ½Μ‡οΏ½π‘ŸοΏ½οΏ½Μ‡οΏ½π‘ž = π‘π‘π‘Ÿπ‘Ÿ +π‘šπ‘šπ‘šπ‘šπ‘ˆπ‘ˆπ‘Ÿπ‘Ÿπ‘žπ‘ž + �̇�𝑍𝑒𝑒𝑒𝑒+ �̇�𝑍𝑀𝑀𝑀𝑀+ οΏ½Μ‡οΏ½π‘π‘Ÿπ‘Ÿπ‘žπ‘ž + οΏ½Μ‡οΏ½π‘π›Ώπ›Ώπ›Ώπ›Ώπ‘Ÿπ‘Ÿ βˆ’π‘‡π‘‡π‘ π‘  sinΒ΅s βˆ’π‘‡π‘‡π‘π‘ sinπœ‡πœ‡π‘π‘ + (π‘šπ‘šπ‘”π‘”βˆ’ 𝐡𝐡) (cosπœƒπœƒπ‘Ÿπ‘Ÿ βˆ’ Θsinπœƒπœƒπ‘Ÿπ‘Ÿ) π½π½π‘‘π‘‘οΏ½Μ‡οΏ½π‘ž βˆ’ οΏ½π‘šπ‘šπ‘Žπ‘Žπ‘šπ‘šβˆ’ �̇�𝑀�̇�𝑀��̇�𝑀+ οΏ½π‘šπ‘šπ‘Žπ‘Žπ‘§π‘§ βˆ’ �̇�𝑀�̇�𝑒��̇�𝑒 = π‘€π‘€π‘Ÿπ‘Ÿ βˆ’ (π‘šπ‘šπ‘Žπ‘Žπ‘šπ‘šπ‘ˆπ‘ˆπ‘Ÿπ‘Ÿ +π‘šπ‘šπ‘Žπ‘Žπ‘§π‘§π‘Šπ‘Šπ‘Ÿπ‘Ÿ)π‘žπ‘ž+ �̇�𝑀𝑒𝑒𝑒𝑒+ �̇�𝑀𝑀𝑀𝑀𝑀+ οΏ½Μ‡οΏ½π‘€π‘Ÿπ‘Ÿπ‘žπ‘ž + οΏ½Μ‡οΏ½π‘€π›Ώπ›Ώπ›Ώπ›Ώπ‘Ÿπ‘Ÿ + 𝑇𝑇𝑠𝑠(𝑑𝑑𝑧𝑧 cosπœ‡πœ‡π‘ π‘  βˆ’ π‘‘π‘‘π‘šπ‘š sinπœ‡πœ‡π‘ π‘ ) + 𝑇𝑇𝑝𝑝�𝑑𝑑𝑧𝑧 cosπœ‡πœ‡π‘π‘ βˆ’ π‘‘π‘‘π‘šπ‘š sinπœ‡πœ‡π‘π‘οΏ½+ (π‘šπ‘šπ‘”π‘”π‘Žπ‘Žπ‘šπ‘š +π΅π΅π‘π‘π‘šπ‘š)(πœƒπœƒπ‘Ÿπ‘Ÿ sinπœƒπœƒπ‘Ÿπ‘Ÿ βˆ’ cosπœƒπœƒπ‘Ÿπ‘Ÿ) βˆ’ (π‘šπ‘šπ‘”π‘”π‘Žπ‘Žπ‘§π‘§ +𝐡𝐡𝑏𝑏𝑧𝑧)(sinπœƒπœƒπ‘Ÿπ‘Ÿ +Θcosπœƒπœƒπ‘Ÿπ‘Ÿ) 24 ii. cache/american_scientific_journal-2073.pdf txt/american_scientific_journal-2073.txt