Partial Normal Form

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

In central manifold reduction, a normal form procedure that cancels only resonant terms while retaining some non-resonant ones.

Application Value

The Partial Normal Form method is essential when analyzing the dynamics near libration point orbits. Compared to complete normal form procedures that eliminate all resonant terms, PNF retains non-resonant term information, making the reduced dynamical model more accurate for describing long-term system behavior. This characteristic makes it particularly suitable for studying the stability and bifurcation phenomena of halo orbits and Lissajous orbits near L1 and L2 points, providing a theoretical foundation for mission orbit design.

Related Concepts

• Central Manifold Reduction
• Libration Point
• Resonance

References

• Gómez et al. 2001, Ch.2。