Scholarlink

<p>This paper proposes a method for solving the uncertain multiple-revolution Lambert problem that uses an adaptive polynomial chaos expansion (APCE) with polar coordinate parameters. An APCE surrogate model based on polar coordinate parameters is proposed to build a higher-precision surrogate model for a Lambert solver. Numerical results show that the polar coordinate parameters constructed in this paper can improve the precision of the surrogate model. Most importantly, unlike previous approaches, the proposed method can be used to analyze the complete distribution of uncertain Lambert solutions across all revolutions, and the distribution percentages per revolution in complete uncertain Lambert solutions can be calculated.</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

Adaptive polynomial chaos expansion method for uncertain multiple-revolution Lambert problem

  • 期刊论文

  • 发表日期：

    2025年9月11日

查看全文
  • Yu Duan,
  • Zhen Yang,
  • Ya-Zhong Luo

摘要

This paper proposes a method for solving the uncertain multiple-revolution Lambert problem that uses an adaptive polynomial chaos expansion (APCE) with polar coordinate parameters. An APCE surrogate model based on polar coordinate parameters is proposed to build a higher-precision surrogate model for a Lambert solver. Numerical results show that the polar coordinate parameters constructed in this paper can improve the precision of the surrogate model. Most importantly, unlike previous approaches, the proposed method can be used to analyze the complete distribution of uncertain Lambert solutions across all revolutions, and the distribution percentages per revolution in complete uncertain Lambert solutions can be calculated.