1 citations · 1 across the 4 of their papers we have counts for
6 papers
Transversality Conditions for Boundary Constraints Defined by Differential Equations
Isaac M Ross
What are the transversality conditions for an optimal control problem when the boundary conditions are defined by differential equations? This seemingly bizarre question is motivat…
Nechvile-Transformed Spacecraft Dynamics and Propellant Computation in the 3-Body Problem
Michael J. Dixon, Isaac M. Ross
The uncontrolled equations of motion in the Nechvile frame for the restricted three-body problem have been well-known since at least the 1960s. It would seem that adding an externa…
Universal Birkhoff Method for Computing Extremals in the Elliptic Restricted Three-Body Problem
Michael J. Dixon, Isaac M. Ross
The computation of finite-thrust extremal arcs in the elliptic restricted three-body trajectory optimization problem is considered. Libration-point orbits are approximated to near-…
On The Mathematics of the Natural Physics of Optimization
I. M. Ross
A number of optimization algorithms have been inspired by the physics of Newtonian motion. Here, we ask the question: do algorithms themselves obey some ``natural laws of motion,''…
Hessians in Birkhoff-Theoretic Trajectory Optimization
I. M. Ross
This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the ei…
Unscented Trajectory Optimization
I. M. Ross, R. J. Proulx, M. Karpenko
In a nutshell, unscented trajectory optimization is the generation of optimal trajectories through the use of an unscented transform. Although unscented trajectory optimization was…