Unconstrained direct optimization of spacecraft trajectories using many embedded Lambert problems

DOI10.1007/s10957-021-01884-1zbMath1483.49007OpenAlexW3182050111MaRDI QIDQ2055351

David Ottesen, Ryan P. Russell

Publication date: 1 December 2021

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-021-01884-1

zbMATH Keywords

spacecrafttrajectorytrajectory optimizationLambertembedded boundary value problemunconstrained direct optimization

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10)

Uses Software

• SNOPT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal transfers between unstable periodic orbits using invariant manifolds
• A survey of methods available for the numerical optimization of continuous dynamic systems
• Geometric orbital transfer using averaging techniques
• Application of high order expansions of two-point boundary value problems to astrodynamics
• A procedure for the solution of Lambert's orbital boundary-value problem
• Representations of quasi-Newton matrices and their use in limited memory methods
• A survey of efficient computational methods for manipulator inverse dynamics
• The theory of connections: connecting points
• A hybrid differential dynamic programming algorithm for constrained optimal control problems. I: Theory
• A hybrid differential dynamic programming algorithm for constrained optimal control problems. II: Application
• On the solution to every Lambert problem
• Transfers between libration-point orbits in the elliptic restricted problem
• Revisiting Lambert's problem
• Search space pruning and global optimisation of multiple gravity assist spacecraft trajectories
• Universal Keplerian state transition matrix
• Logarithmic Spiral: An Ideal Trajectory for the Interplanetary Vehicle with Engines of Low Sustained Thrust
• Survey of Numerical Methods for Trajectory Optimization
• Primer vector theory applied to the linear relative-motion equations
• Averaging Techniques and Their Application to Orbit Determination Systems
• Basic Linear Algebra Subprograms for Fortran Usage
• Trajectory optimization on a parallel processor
• SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Function minimization by conjugate gradients
• Primer vector on fixed-time impulsive trajectories.
• An efficient method for calculating optimal free-space n-impulse trajectories.
• Lagrange multipliers and the state transition matrix for coasting arcs.
• A Family of Variable-Metric Methods Derived by Variational Means
• A new approach to variable metric algorithms
• The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
• Conditioning of Quasi-Newton Methods for Function Minimization

This page was built for publication: Unconstrained direct optimization of spacecraft trajectories using many embedded Lambert problems