This study shows how to obtain least-squares solutions to initial and boundary value
problems of ordinary nonlinear differential equations. The proposed method begins using an …

Since the late 1950s, when the first artificial satellite was launched, the number of Resident
Space Objects has steadily increased. It is estimated that around one million objects larger …

Machine learning (ML) frameworks are investigated for use in simultaneous tracking and
navigation (STAN) with low Earth orbit (LEO) satellites. STAN is a navigation paradigm that …

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 …

Generally, the dynamical model is used to estimate coordinates of satellite laser ranging
(SLR) stations. In this paper, we put forward a kinematic method to estimate the coordinates …

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 …

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 …

For over half a century, numerical integration methods based on finite difference, such as the
Runge-Kutta method and the Euler method, have been popular and widely used for solving …

Abstract The Theory of Functional Connections (TFC) is a general methodology for
functional interpolation that can embed a set of user-specified linear constraints. The …

The Institute for Mathematical Sciences at the National University of Singapore hosted a
thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and …