علوم و فناوری فضایی

علوم و فناوری فضایی

کاربرد روش اجزای محدود در دامنة زمان برای تعیین مسیرهای بهینة پرواز فضاپیما با رانش محدود

نویسندگان
چکیده
در این مقاله، مسیرهای بهینه حرکت هر فضاپیما تحت رانش محدود با به‌کارگیری روش اجزای محدود در دامنة زمان مدل‌سازی و ارائه شده است. در ابتدا، با توجه به معادلة گرانش نیوتن، معادلات فضای حالت حرکت فضاپیما با رانش محدود ارائه شده و سپس با در نظر گرفتن تابع عملکرد حداقل زمان مسئلة کنترل بهینه تنظیم شده است. همچنین با گسسته‌سازی مسئله در دامنة زمان و استفاده از روش حساب تغییرات، فرم اجزای محدود معادلات استخراج شده است. این معادلات به‌صورت غیرخطی بوده و با استفاده از الگوریتم نیوتن- رافسون معادلات غیرخطی حل و نتایج ارائه شده است و نهایتاًمسیرهای بهینة پرواز به ازای ضرایب سرعت خروجی مؤثر ترسیم شده است.
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  • تاریخ دریافت 08 شهریور 1387
  • تاریخ بازنگری 12 آبان 1387
  • تاریخ پذیرش 23 آذر 1387
  • تاریخ اولین انتشار 25 آذر 1387