HERASIMENKA , Alesia

This thesis focuses on the optimal control of solar sails, which are spacecraft propelled by the pressure of solar radiation. Solar sails generate propulsive force by reflecting and absorbing photons, making them a cost-effective and practically unlimited means of space navigation.The first part of this thesis is dedicated to the...

Many observation satellites are subject to attitude constrains arising from peculiar mission requirements or environmental conditions. These obstructions often constrain the direction of the thrust vector to remain within a cone. In this study, we investigate the local controllability of station-keeping maneuvers of satellites with low thrust...

National audience

This paper investigates optimal trajectories for solar sails in fast deep-space missions. By utilizing solar flybys, these missions can leverage on solar radiation pressure assist to accelerate the solar sail away from the Sun. It enables the spacecraft to reach distant regions of the solar system or travel beyond it. To determine feasible...

An algorithm for the numerical solution of low-thrust Lambert's problem is proposed. After averaging the extremal flow of the optimal control Hamiltonian, a one-parameter family of solutions of a reduced-order two-point boundary value problems is achieved by means of a differential continuation scheme. Sensitivities of the shooting function are...

An algorithm for the second-order approximation of fixed-time, low-thrust orbital transfersand generation of Bacon plots is proposed. After averaging the extremal flow of the optimal-control Hamiltonian, a one-parameter family of solutions of a reduced-order, two-point boundary value problems is computed by means of a differential-continuation...

We report on numerical computation of optimal trajectories in space mechanics using Julia code. The talk will address several examples including minimum time orbit transfert computation (CNES) and solar sail control (ESA). Direct transcription and indirect / shooting methods (based on Pontrjagin maximum principle) as well as techniques from...

Trajectory design and station keeping of solar sails about a celestial body can be formulated as control problems with positivity constraints. Specifically, when re-emitted radiation is neglected and the sail is modeled as a flat surface, which are reasonable assumptions for control purposes, force generated by solar radiation pressure is...

This talk will be about local controllability of a control affine system along a reference solution x(.), defined on [0,T], corresponding to zero control, in the case where the zero control is on the boundary of the set U that constrains the control. We present a sufficient condition for the reachable set in time T from x(0) (with U-valued...

No description

Optimal control of a solar sail orbiting around a fixed center of mass is considered. The sail is modelled as a plane surface with two sides having similar optical properties. The control is assumed to be the attitude of the sail and is so represented as an element of the projective plane. Mapping this plane to compute the actual force...

Sufficient and necessary conditions are established for controllability of affine control systems, motivated by these with a drift all of whose solutions are periodic.In contrast with previously known results, these conditions encompass the case of a control set whose convex hull contains the origin but is not a neighborhood of the origin.The...

Optimal control of a solar sail orbiting around a fixed center of mass is considered. The sail is modelled as a plane surface with two sides having similar optical prop- erties. The control is assumed to be the attitude of the sail and is so represented as an element of the projective plane. Mapping this plane to compute the actual force...

Sufficient conditions are established for controllability of affine control systems with a drift all of whose solutions are periodic. In contrast with previously known results, these conditions encompass the case of a control set whose convex hull is not a neighbourhood of the origin. The condition is expressed by means of pushforwards along...

Optimal control of a solar sail orbiting around a fixed center of mass is considered. The sail is modelled as a plane surface with two sides having similar optical properties. The control is assumed to be the attitude of the sail and is represented as an element of the projective plane. Mapping this plane into the three dimensional ambient...

Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin but is not necessarily, in contrast with previously known results, a neighborhood of the origin. Part of the results, in particular these on global controllability,...

For control systems whose uncontrolled solutions are periodic (or more generally recurrent), there are geometric tools, developed in the 1980s, that assess controllability based on a Lie algebra rank condition, under the assumption that the control set contains zero in its interior. Motivated by solar sails control, the present study explores...