0000000000768853

AUTHOR

Ariadna Farrés

showing 2 related works from this author

Periodic Motion for an Imperfect Solar Sail Near an Asteroid

2014

In this paper we consider the Hill 3-body problem with the extra effect of the solar radiation pressure as a model for the motion of a solar sail close to an asteroid. To model the sail’s acceleration, we include both reflectivity and absorption of the sail’s material. We describe the most relevant dynamical properties of the system for different reflectivity and absorption coefficients as well as different fixed sail orientations. We show families of periodic orbits, describe how they relate to the parameters of the sail and discuss their stability.

PhysicsOrbital planeAstronomySolar sailMechanicsQuantitative Biology::OtherStability (probability)Periodic functionPhysics::Popular PhysicsAccelerationRadiation pressureAsteroidPhysics::Space PhysicsAstrophysics::Earth and Planetary AstrophysicsAbsorption (electromagnetic radiation)
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On local optima in minimum time control of the restricted three-body problem

2016

International audience; The structure of local minima for time minimization in the controlled three-body problem is studied. Several homotopies are systematically used to unfold the structure of these local minimizers, and the resulting singularity of the path associated with the value function is analyzed numerically.

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyMathematical optimizationHomotopyCircular restricted three body problemShooting Homotopy02 engineering and technologyMSC : 70F07 (49K15 49N90 58K99)Optimal controlThree-body problem01 natural sciencesOptimal controlMaxima and minimaSwallowtail singularity020901 industrial engineering & automationSingularityLocal optimumBellman equation0103 physical sciencesPath (graph theory)Applied mathematics[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]010303 astronomy & astrophysicsMathematics
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