analytical mechanics of aerospace systems

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1、ANALYTICALMECHANICSofAEROSPACESYSTEMSHanspeterSchaubandJohnL.JunkinsJanuary1,2002ContentsPrefaceixIBASICMECHANICS11ParticleKinematics31.1ParticlePositionDescription....................31.1.1BasicGeometry........................31.1.2CylindricalandSphericalCoordinateSystems.......61.2VectorD

2、ierentiation........................81.2.1AngularVelocityVector...................81.2.2RotationaboutaFixedAxis................101.2.3TransportTheorem.....................111.2.4ParticleKinematicswithMovingFrames.........152NewtonianMechanics252.1Newton'sLaws............................252

3、.2SingleParticleDynamics.......................292.2.1ConstantForce........................292.2.2Time-VaryingForce.....................322.2.3KineticEnergy........................342.2.4LinearMomentum......................352.2.5AngularMomentum.....................352.3DynamicsofaSystemofP

4、articles.................382.3.1EquationsofMotion.....................382.3.2KineticEnergy........................412.3.3LinearMomentum......................432.3.4AngularMomentum.....................452.4DynamicsofaContinuousSystem.................472.4.1EquationsofMotion..................

5、...472.4.2KineticEnergy........................492.4.3LinearMomentum......................502.4.4AngularMomentum.....................512.5TheRocketProblem.........................52iiiivCONTENTS3RigidBodyKinematics633.1DirectionCosineMatrix.......................643.2EulerAngles............

6、.................703.3PrincipalRotationVector......................783.4EulerParameters...........................853.5ClassicalRodriguesParameters...................913.6ModiedRodriguesParameters...................963.7OtherAttitudeParameters.....................1033.7.1StereographicOrien

7、tationParameters...........1033.7.2HigherOrderRodriguesParameters............1053.7.3The(w,z)Coordinates....................1063.7.4Cayley-KleinParameters..................1073.8HomogeneousTransformations...................1074EulerianMechanics1154.1Rigi