Mathematical Model of Spatial Motion of the Controlled Parachute-Tether System of the Wind Kite Type

Mathematical modeling is created for the mathematical task of spatial motion controlled parachute-tether system “wind kite” type. The model consists a main para-chute and braking parachute. parachutes are connected by tether. supposed to be solid body. This body has two planes symmetry. parachute with axial tether an absolutely flexible elastic thread. ideal hinges control carried out changing length slings. Changing causes deformation dome. reason change in its aerodynamics. Maneuvering occurs vertical plane, when slings changes simultaneously. space changes, given travel difference. dynamic kinematic equations designed calculating movement parachute, option exists mass forces applied cannot neglected. represented thread projections on axis natural trihedron. ordinary differential par-tial equations. problem solved using various numerical methods. solution possible help integrated analytical approach as well.