Hybrid Method of Uncertainty Propagation for Near-Earth Conjunction Analysis

Y Khatri, DJ Scheeres - Journal of Guidance, Control, and Dynamics, 2024 - arc.aiaa.org
In this research, several existing semi-analytical dynamics and uncertainty propagation
techniques are combined with conjunction models to achieve fast and accurate probability of …

A Numerical Method for Computing the State Transition Matrix Using Poincare Integral Invariants

MA Shoemaker, KM Hughes - AAS/AIAA Astrodynamics Specialist …, 2024 - ntrs.nasa.gov
The Poincare integral invariants describe the volumes of sets in Hamiltonian phase space.
We use these invariants to derive a new numerical procedure for obtaining the state …

[PDF][PDF] FORECASTING THE SHAPE OF PHASE SPACE STRUCTURES USING AN ISO-ENERGETIC SYMPLECTIC INVARIANT

O Boodram, D Scheeres - researchgate.net
Rather than to examine a single particle trajectory, an investigation on finite regions of space
can give a better picture of how collections of particles are able to move from one …