SINCE the late 1970s, libration points and bounded trajectories around them have become
of practical interest, allowing a number of convenient and useful properties Keplerian motion …

为满足航天工程对轨道计算精度和实时性的高要求, 近年来发展出了可以通过大步长积分修正
实现快速精确求解的积分修正类方法. 积分修正类方法有可并行计算的特点 …

Abstract Modified Chebyshev-Picard iteration methods are presented for solving boundary
value problems. Chebyshev polynomials are used to approximate the state trajectory in …

A new approach for solving two-point boundary value problems and initial value problems
using the Kustaanheimo–Stiefel transformation and Modified Chebyshev–Picard iteration is …

Abstract Modified Chebyshev-Picard Iteration methods are presented for solving high
precision, long-term orbit propagation problems. Fusing Chebyshev polynomials with the …

Optimal control problems (OCPs) with a control-affine Hamiltonian may lead to extremal
solutions with singular control arcs. The presence of singular control arcs along with multiple …

Attitude computation is of vital importance for a variety of applications. Based on the
functional iteration of the Rodrigues vector integration equation, the RodFIter method can be …

A graphics-processing-units-accelerated indirect trajectory optimization methodology that
uses the multiple shooting method and continuation is developed using the CUDA platform …

This paper aims to develop a computationally efficient sequential convex programming
algorithm for a class of nonlinear systems. A Chebyshev collocation discretization (CCD) …

轨道动力学快速计算是航天工程中的基础问题, 广泛存在于轨道设计, 空间抓捕以及深空探测等
任务中. 基于有限差分原理的经典数值积分算法, 由于精度严重依赖小积分步长 …