Shape-Based Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A class of approximate trajectory design methods that use predefined analytical functions (e.g., exponential sinusoids, polynomials, equinoctial elements) to represent low-thrust trajectory shapes. Unlike direct and indirect methods, shape-based methods do not solve the full optimal control problem; instead, they describe candidate trajectory families with a small number of shape parameters, then optimize over those parameters. The advantage is computational speed and suitability for global search; the limitation is that the chosen function family may not capture the true optimal solution.

Application Value

This concept has important application value in cislunar space research and mission design, involving orbit design, navigation control, or mission planning.

Related Concepts

• Nonlinear Programming
• Zero-Velocity Curve
• Departure Excess Velocity

References

• Izzo - 2006 - Lambert's problem for exponential sinusoids
• Conway - 2010 - Spacecraft trajectory optimization