طراحی مسیر بهینه یک بلوک انتقال مداری جهت تزریق ماهواره به مدار زمین آهنگ با پیشرانش محدود

نوع مقاله: مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسندگان

1 دانشجوی دکتری دانشکده مهندسی هوافضای دانشگاه صنعتی خواجه نصیر الدین طوسی

2 عضو هیئت علمی دانشکده مهندسی هوافضای دانشگاه صنعتی خواجه نصیرالدین طوسی

3 عضو هیئت علمی دانشکده مهندسی هوافضا دانشگاه صنعتی خواجه نصیرالدین طوسی

چکیده

در این تحقیق، مسئلة طراحی مسیر بهینة یک بلوک انتقال مداری جهت تزریق ماهواره به مدار زمین آهنگ در فضای سه‌بعدی مورد نظر می‌باشد. مسیر بهینه چند سوزشی  براساس تئوری اویلر-لاگرانژ با معیار حداقل مصرف سوخت به‌دست می‌آید. جهت تعیین زمان‌های روشن و خاموشی موتور، به جای استفاده از تابع سوییچ که سبب پیچیدگی محاسبات می‌شود، از یک روش ساده و بهینه استفاده شده تا زمان‌های سویچ از فاز‌های فعال به غیر‌فعال و بالعکس تعیین شوند. برای حل مسئلة شرط مرزی در چند نقطه از یک روش پرتابی غیرمستقیم بهبود یافته با کارایی بالا استفاده شده است که علاوه‌بر تأمین دقت بالا، با سرعت بسیار خوبی نیز به شرایط مرزی مورد نظر همگرا می‌شود.

کلیدواژه‌ها


عنوان مقاله [English]

Optimal Trajectory Design of an Upper Stage for Satellite Injection into Geostationary Orbit Using Limited Thrust

نویسندگان [English]

  • Mojtaba Alavi pour 1
  • Amir Ali Nikkhah 2
  • Jafar Roshanian 3
1 Department of Aerospace Engineering, K.N. Toosi University of Technology
2 Department of Aerospace Engineering, K.N. Toosi University of Technology
3 Department of Aerospace Engineering, K.N. Toosi University of Technology
چکیده [English]

In this research, the problem of optimal trajectory design of an upper stage is considered for satellite injection into Geostationary orbit in 3-Dimensional space. The optimal multi-burn trajectory is obtained based on Euler-Lagrange theory with minimum fuel consumption criteria. Instead of using switch function for obtaining the switching times, which complicates the numerical solution of the optimal control problem, the presented algorithm uses a simple and optimal process to find the burn and coast times. To solve the tow point boundary value problem, an improved indirect shooting method with high performance is used which in addition to having higher precision, converges very fast to the desired condition.

کلیدواژه‌ها [English]

  • optimal trajectory
  • upper stage
  • Geostationary orbit
  • multiple burn

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