In autonomous space systems, the reliability of navigation systems is essential. Observability
in autonomous orbit determination techniques depends on the spacecraft's orbital motion …

Higher-order methods such as state transition tensors (STTs) have shown promise for a
variety of applications in astrodynamics, but can be limited in their use due to their …

MANEUVER targeting can constitute a significant activity for spacecraft operations,
particularly for missions operating in highly nonlinear dynamic systems such as cislunar …

This paper develops the mathematical framework to use semi-analytic higher-order state
transition tensor (STT) approximations of a nonlinear system to solve an optimal control …

< jats: p> While the first-order derivatives of an objective function and constraints have often
been analytically provided in the gradient-based optimization algorithms, the joint use of the …

Operation of a space-based telescope and starshade pair promises to enable direct imaging
of exoplanets. After selecting an orbit in Sun-Earth space for the telescope, trajectory design …

TRAJECTORY and mission design problems often require bilevel optimizations to determine
optimal trajectories that balance mission goals with operational constraints. For example, in …

Guidance, navigation, and control of satellites–especially in the study of rendezvous and
formation flight–relies heavily on methods that leverage local linear approximations of …

This paper presents a methodology for expanding the higher-order state transition tensors
(STTs) of a reference trajectory with respect to the final time over which the trajectory is …

This paper presents an algorithm for rapid local trajectory optimization around a reference
using the reference trajectory's higher-order state transition tensors (STTs) to approximate …