Investigating the Effect of Eccentricity and Mass Ratio of Primaries on the Structure of Lyapunov Orbits
Article Type:
Research/Original Article (دارای رتبه معتبر)
A way to improve the accuracy of the three-body problem model is taking into account the eccentricity of primary attractors. Elliptic Restricted Three-Body Problem (ER3BP) is a model for studying spacecraft trajectory within the three-body problem such that the orbital eccentricity of primaries is reflected in it. As the principal cause of perturbation in the employed dynamical model, the primaries eccentricity changes the structure of orbits compared to the ideal Circular Restricted Three-Body Problem (CR3BP). In this paper, the orbit dynamics of a spacecraft in the ER3BP are exploited to find periodic orbits as the spacecraft is considered to be in planar orbits around Lagrangian points. Periodic orbits are repetitious behaviors in which spacecraft orbital dynamics repeated periodically, these periodic behaviors are the main interest of this study because they are beneficial for future mission designs and allow delineation of the system's governing dynamics. Previous studies laid the foundation for finding periodic orbits or analyzing the stability of the obtained orbits in the ER3BP regime. While in this paper, at first, initial guesses for correction algorithms were derived through the well-known family of orbits in the CR3BP, then correction algorithms were used to refine the calculated orbit. Periodic orbits are portrayed and compared to previous studies and simpler models. Finally, the periodic orbits for the systems with different values of eccentricity and mass ratios are compared to determine their effect on the shape of the orbits in the ER3BP.
Aerospace Science and Technology Journal, Volume:11 Issue: 2, 2023
153 to 163  
دانلود و مطالعه متن این مقاله با یکی از روشهای زیر امکان پذیر است:
اشتراک شخصی
با عضویت و پرداخت آنلاین حق اشتراک یک‌ساله به مبلغ 990,000ريال می‌توانید 60 عنوان مطلب دانلود کنید!
اشتراک سازمانی
به کتابخانه دانشگاه یا محل کار خود پیشنهاد کنید تا اشتراک سازمانی این پایگاه را برای دسترسی نامحدود همه کاربران به متن مطالب تهیه نمایند!
  • حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران می‌شود.
  • پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانه‌های چاپی و دیجیتال را به کاربر نمی‌دهد.
In order to view content subscription is required

Personal subscription
Subscribe for 50 € euros via PayPal and download 60 articles during a year.
Organization subscription
Please contact us to subscribe your university or library for unlimited access!