Shara & SteelQuasar
Shara, I’ve been exploring a new trajectory optimization algorithm that could cut propellant usage. Have you considered a physics‑based hybrid approach for deep‑space navigation?
Sounds promising—physics‑based hybrid methods can capture the system dynamics while still letting the optimizer prune the search space. How are you handling the nonlinearities? Maybe a sequential linearization could keep the problem tractable while still respecting the real physics.
Sequential linearization is the baseline: at each iteration I re‑linearize the dynamics around the current nominal trajectory, then solve a quadratic program that respects the linearized constraints. The residual nonlinear terms are treated as bounded disturbances and I iterate until the updates fall below a tolerance. It’s not the most elegant, but it keeps the math in a convex regime and the engine burn schedule stable.