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Obstacle avoidanceKineticsMotion planningConstrained optimizationForward kinematicsTrajectory optimizationRobot kinematicsKinematicsKinematic chainFlight dynamicsInverse kinematicsBoundary value problemKinematic synthesisHand eye calibration problemCollision responseConstraintAnalytical dynamicsTopology optimizationOptimal controlRigid body dynamicsLinear complementarity problemEuler's three-body problemKinematic pairStructural mechanicsControllabilityRotordynamicsStability theoryConic optimizationDegrees of freedom problemNonlinear programmingOccupancy grid mappingDesign optimizationMechanicsEuclidean shortest pathConstraint satisfactionPontryagin's maximum principleMechanical engineeringOrbital mechanicsCombinatorial optimizationQuadratic assignment problemOptimization problemClassical mechanicsN-body problemMultibody systemFluid dynamicsStiffness matrixOperations engineeringEconomic planningDynamical systems theoryStructural dynamicsMultiphysics simulationDynamicsCollision detectionMultibody simulationEuler's laws of motionBin packing problemConstraint satisfaction problemDynamical frictionComputational mechanicsKinematic waveEquations of motionParameterized complexityScrew theoryNon-negative least squaresDrag equationConfiguration spaceSolid mechanicsConvex optimizationKepler's equationEngineering physicsRelativistic lagrangian mechanicsTransport phenomenaInterior-point methodGeometry processingN-body simulationDeterministic global optimizationSimulation-based optimizationBiharmonic equationK-stabilityTwo-body problemClassical control theoryNetwork flow problemLagrangian relaxationClassical central-force problemKepler problemConvex analysisTheory of computationExact differential equationHydrodynamic stabilityStationary-action principleAny-angle path planningComputational fluid dynamicsEigenvalue perturbationModel-based designStrength of materialsState-space representationJob-shop schedulingRobust optimizationExplicit and implicit methodsInitial value problem