Convex Optimization of Launch Vehicle Ascent Trajectory with Heat-Flux and Splash-Down Constraints
- 1 May 2022
- journal article
- research article
- Published by American Institute of Aeronautics and Astronautics (AIAA) in Journal of Spacecraft and Rockets
- Vol. 59 (3), 900-915
- https://doi.org/10.2514/1.a35194
Abstract
This paper presents a convex programming approach to the optimization of a multistage launch vehicle ascent trajectory, from the liftoff to the payload injection into the target orbit, taking into account multiple nonconvex constraints, such as the maximum heat flux after fairing jettisoning and the splash-down of the burned-out stages. Lossless and successive convexification methods are employed to convert the problem into a sequence of convex subproblems. Virtual controls and buffer zones are included to ensure the recursive feasibility of the process, and a state-of-the-art method for updating the reference solution is implemented to filter out undesired phenomena that may hinder convergence. A pseudospectral discretization scheme is used to accurately capture the complex ascent and return dynamics with a limited computational effort. The convergence properties, computational efficiency, and robustness of the algorithm are discussed on the basis of numerical results. The ascent of a VEGA-like launch vehicle toward a polar orbit is used as a case study to discuss the interaction between the heat flux and splash-down constraints. Finally, a sensitivity analysis of the launch vehicle carrying capacity to different splash-down locations is presented.
Keywords
Funding Information
- Agenzia Spaziale Italiana (2019-4--HH.0 CUP F86C17000080005)
This publication has 37 references indexed in Scilit:
- Autonomous Trajectory Planning for Rendezvous and Proximity Operations by Conic OptimizationJournal of Guidance, Control, and Dynamics, 2013
- Lossless convexification of a class of optimal control problems with non-convex control constraintsAutomatica, 2011
- A unified framework for the numerical solution of optimal control problems using pseudospectral methodsAutomatica, 2010
- An hp‐adaptive pseudospectral method for solving optimal control problemsOptimal Control Applications and Methods, 2010
- Barycentric Lagrange InterpolationSIAM Review, 2004
- Second-order cone programmingMathematical Programming, 2003
- Optimization of Launch Vehicle Ascent Trajectories with Path Constraints and Coast ArcsJournal of Guidance, Control, and Dynamics, 2001
- Dual Payload Ascent Trajectory Optimization with a Splash-Down ConstraintJournal of Guidance, Control, and Dynamics, 2000
- Design and Evaluation of a Three-Dimensional Optimal Ascent Guidance AlgorithmJournal of Guidance, Control, and Dynamics, 1998
- Optimum Steering Program for the Entry of a Multistage Vehicle Into a Circular OrbitARS Journal, 1961