标题： 沿弱稳定性边界转移的分离时间灵敏度分析 显示英文标题

标题： Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers

摘要： 本研究分析了椭圆限制三体问题中弱稳定性边界转移（WSBT）周围动力学的敏感性。随着WSBT在地月转移中的日益流行，理解其固有的混沌动力学对于指导和导航合作航天器以及检测非合作目标变得至关重要。我们引入了分离时间的概念，以衡量接近规范WSBT的点偏离轨迹附近的情况。利用柯西-格林张量来识别位置和速度中的拉伸方向，在一个与典型轨道确定性能成比例的状态不确定性球体内，研究了分离时间以及有限时间李雅普诺夫指数。 显示英文摘要

摘要： This study analyzes the sensitivity of the dynamics around Weak Stability Boundary Transfers (WSBT) in the elliptical restricted three-body problem. With WSBTs increasing popularity for cislunar transfers, understanding its inherently chaotic dynamics becomes pivotal for guiding and navigating cooperative spacecrafts as well as detecting non-cooperative objects. We introduce the notion of separation time to gauge the deviation of a point near a nominal WSBT from the trajectory's vicinity. Employing the Cauchy-Green tensor to identify stretching directions in position and velocity, the separation time, along with the Finite-Time Lyapunov Exponent are studied within a ball of state uncertainty scaled to typical orbit determination performances.