# Trajectory curvature guidance for Mars landings in hazardous terrains

Trajectory curvature guidance for Mars landings in hazardous terrains Focusing on the trajectory curvature, this paper presents an innovative and analytical guidance law for the construction of geometrically convex trajectories. Moving along such trajectories, the lander can increase the probability of a safe landing in hazardous terrains. Initially, the curvature theorems of the powered descent trajectories are developed. In these theorems, the inner relationship between trajectory curvature and lander states is revealed, and the state constraints for a geometrically convex trajectory are derived. Next, the trajectory curvature guidance is developed in an analytical formulation by satisfying the state constraints for a convex trajectory, and the selection of the key guidance parameters is investigated. Finally, the performance of the trajectory curvature guidance is analyzed in detail, illustrating its superior hazard avoidance and the camera’s field of view. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatica Elsevier

# Trajectory curvature guidance for Mars landings in hazardous terrains

Automatica, Volume 93 – Jul 1, 2018
11 pages

/lp/elsevier/trajectory-curvature-guidance-for-mars-landings-in-hazardous-terrains-bWqhMU41zH
Publisher
Elsevier
ISSN
0005-1098
D.O.I.
10.1016/j.automatica.2018.03.049
Publisher site
See Article on Publisher Site

### Abstract

Focusing on the trajectory curvature, this paper presents an innovative and analytical guidance law for the construction of geometrically convex trajectories. Moving along such trajectories, the lander can increase the probability of a safe landing in hazardous terrains. Initially, the curvature theorems of the powered descent trajectories are developed. In these theorems, the inner relationship between trajectory curvature and lander states is revealed, and the state constraints for a geometrically convex trajectory are derived. Next, the trajectory curvature guidance is developed in an analytical formulation by satisfying the state constraints for a convex trajectory, and the selection of the key guidance parameters is investigated. Finally, the performance of the trajectory curvature guidance is analyzed in detail, illustrating its superior hazard avoidance and the camera’s field of view.

### Journal

AutomaticaElsevier

Published: Jul 1, 2018

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