[HTML][HTML] Survey of orbital dynamics and control of space rendezvous

Y Luo, J Zhang, G Tang - Chinese Journal of Aeronautics, 2014 - Elsevier
Rendezvous orbital dynamics and control (RODC) is a key technology for operating space
rendezvous and docking missions. This paper surveys the studies on RODC. Firstly, the …

On the solution to every Lambert problem

RP Russell - Celestial Mechanics and Dynamical Astronomy, 2019 - Springer
Lambert's problem is the two-point boundary value problem for Keplerian dynamics. The
parameter and solution space is surveyed for both the zero-and multiple-revolution …

Complete Lambert solver including second-order sensitivities

RP Russell - Journal of Guidance, Control, and Dynamics, 2022 - arc.aiaa.org
The complete parameter space for Lambert's problem includes all possible geometries, flight
times, and revolutions. An earlier work exploited a rectangular form of this parameter space …

Optimal multi-objective linearized impulsive rendezvous

YZ Luo, GJ Tang, YJ Lei - Journal of guidance, control, and dynamics, 2007 - arc.aiaa.org
The multi-objective optimization of linearized impulsive rendezvous is investigated in this
paper and this optimization includes the minimum characteristic velocity, the minimum time …

Stability analysis of linear impulsive delay dynamical systems via looped-functionals

MA Davo, A Banos, F Gouaisbaut, S Tarbouriech… - Automatica, 2017 - Elsevier
This article investigates the asymptotic stability of impulsive delay dynamical systems (IDDS)
by using the Lyapunov–Krasovskii method and looped-functionals. The proposed conditions …

Terminal-velocity-based Lambert algorithm

G Zhang - Journal of Guidance, Control, and Dynamics, 2020 - arc.aiaa.org
This paper provides an alternative Lambert solution based on the terminal velocity vector.
The chordal terminal velocity component is selected as the independent variable since it is …

Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schr\" odinger Bridge and Reaction-Diffusion PDEs

AMH Teter, I Nodozi, A Halder - arxiv preprint arxiv:2401.07961, 2024 - arxiv.org
The Lambert problem originated in orbital mechanics. It concerns with determining the initial
velocity for a boundary value problem involving the dynamical constraint due to gravitational …

Peer-to-peer refueling for circular satellite constellations

H Shen, P Tsiotras - Journal of Guidance, Control, and Dynamics, 2005 - arc.aiaa.org
The scheduling problem arising from refueling multiple satellites in a circular constellation is
studied. It is assumed that no fuel is delivered to the constellation from an external source …

Homotopic perturbed Lambert algorithm for long-duration rendezvous optimization

Z Yang, YZ Luo, J Zhang, GJ Tang - Journal of Guidance, Control, and …, 2015 - arc.aiaa.org
LAMBERT, s problem has been discussed over the years by many researchers [1–3]. Gauss
[1] first developed an iterative method to solve Lambert, s problem, which is efficient and …

Optimization of multiple-impulse, multiple-revolution, rendezvous-phasing maneuvers

YZ Luo, GJ Tang, YJ Lei, HY Li - Journal of Guidance, Control, and …, 2007 - arc.aiaa.org
A new hybrid optimization approach is proposed for the design of a rendezvous-phasing
strategy with combined maneuvers, which is normally considered as a complex multiple …