Talk: NASA Johnson Space Center — Trajectory Optimization over Riemannian Manifolds

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I gave a research showcase talk at NASA Johnson Space Center on trajectory optimization over Riemannian manifolds.

What problem was this about?

Trajectory optimization is often solved in ambient coordinates, which can introduce redundancy and representation dependence when the true state space is a manifold.

What was the main contribution?

I presented an intrinsic viewpoint for trajectory optimization, where updates, derivatives, and approximations are defined directly on the manifold.

Why it matters

This can reduce computational overhead, improve numerical behavior, and produce algorithms that are invariant to coordinate representation.