Scholarlink

<p>Periodic and quasi-periodic orbits are fundamental structures in celestial mechanics and play a crucial role in trajectory design for multi-body systems and deep space missions. While conventional designs rely on natural equilibrium points, artificial equilibrium points enabled by continuous low-thrust propulsion offer greater flexibility and fuel-efficient trajectory design. This study formulates controlled orbital motion as a high-dimensional dynamical system governed by continuous optimal control and applies dynamical systems theory to analyze its stability and bifurcation properties. The results reveal families of new controlled orbits and associated dynamical structures, providing the design space for efficient and flexible trajectory planning in multi-body environments.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Periodic and quasi-periodic orbits induced by optimal control in the hill three-body problem

  • 期刊论文

  • 发表日期：

    2026年7月11日

查看全文
  • Ayano Tsuruta,
  • Shanshan Pan,
  • Mai Bando,
  • Shinji Hokamoto,
  • Daniel J. Scheeres

摘要

Periodic and quasi-periodic orbits are fundamental structures in celestial mechanics and play a crucial role in trajectory design for multi-body systems and deep space missions. While conventional designs rely on natural equilibrium points, artificial equilibrium points enabled by continuous low-thrust propulsion offer greater flexibility and fuel-efficient trajectory design. This study formulates controlled orbital motion as a high-dimensional dynamical system governed by continuous optimal control and applies dynamical systems theory to analyze its stability and bifurcation properties. The results reveal families of new controlled orbits and associated dynamical structures, providing the design space for efficient and flexible trajectory planning in multi-body environments.