Predictor-corrector landing algorithms were devised to guide Mars landers. These techniques decoupled the AOA and bank angle control. They are a shooting method for solving boundary value problems and differential eigenvalue problems. The eigenvalues are L/D control commands, the eigenfunctions are the time-dependent velocity solutions, downrange. These algorithms require complete knowledge of the state vector of the spacecraft.
The roots of the following nonlinear equation must be solved for.
$$\Delta V_{j+1}=V_{(j+1)m}-V_{j+1}=\phi(k_m),\ k_m\in[k_{m_{min}},k_{m_{min}}]$$
[[Shooting Algorithm]]
- kozynchenkoAnalysisPredictiveEntry2011