Single-Step Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A numerical integration method that computes the next state using only the current state information, such as the Runge-Kutta and trapezoidal methods. Unlike multistep methods, single-step methods do not require storing historical states, facilitating startup and variable step sizes. They are used in the quasilinearization-discretization-recursion algorithm to discretize continuous-time dynamics.

Application Value

In orbit design and optimization, this concept is used to analyze spacecraft motion characteristics in the cislunar multi-body gravitational field, providing a theoretical basis for low-energy transfer trajectory design.

  • Lunar Fly-by Method
  • Reachability Set
  • Maximum-Energy Escape Trajectory
  • Laplace Method

References

  • Wang 等 - 2024 - Low-energy earth–moon transfer autonomous guidance considering high-fidelity orbital dynamics
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Contributors: ouyangjiahong, Ou Yang Jiahong