运动中的抛射物数学:英文

PREFACE
1．MOTION UNDER GRAVITY ALONE
1．1 Gravity
1．2 Velocity and Position Vectors
1．3 Point of Impact
1．4 The Vertex of the Trajectory
1．5 Projection from a Different Level
1．6 Inclined Plane
1．7 Enveloping Parabola
1．8 Dimensionless Equations
1．9 Exercises

2．MOTION IN A LINEAR RESISTING MEDIUM
2．1 Velocity and Position Vectors
2．2 Maximum Height
2．3 Impact Time to the Horizontal Plane
2．4 Range on the Horizontal Plane
2．5 Envelopes
2．6 Inclined Planes
2．7 Curve of Safety
2．8 Exercises

3．MOTION IN A NON-LINEAR RESISTING MEDIUM
3．1 Non-linear Drag
3．2 Cartesian Equations for Power-law Drag
3．3 Acceleration Components
3．4 Power-law Solution
3．5 Applications of the Power-law Solution
3．6 Other Non-linear Drag Functions
3．7 Exercises

4．THE BASIC EQUATIONS AND THEIR NUMERICAL SOLUTION
4．1 The Basic Equations
4．2 Ballistic Table Computations
4．3 Simple Application
4．4 Range Tables
4．5 Variations within the Basic Equations
4．6 Graphical Technique
4．7 Exercises

5．SMALL DRAG OR SMALL GRAVITY
5．1 Perturbation Techniques
5．2 Gravity or Drag Perturbations
5．3 Exercises

6．CORRECTIONS DUE TO OTHER EFFECTS
6．1 Effects Other Than Constant Gravity and Variable Drag
6．2 Coriolis Corrections
6．3 Gravity Corrections
6．4 Density， Temperature， Pressure and Humidity Variations
6．5 Lift and Sideways Aerodynamic Corrections
6．6 Wind Corrections
6．7 Overturning Moment
6．8 Differential Corrections
6．9 Exercises

7．SPIN EFFECTS
7．1 Overcoming Yaw
7．2 Spin Stabilisation of Shells
7．3 Spinning Spheres
7．4 Fluid Dynamics
7．5 The Magnus Effect
7．6 The Swing of a Cricket Ball
7．7 Spinning Seeds
7．8 The Equations of Motion for a Spinning Shell
7．9 Exercises

8．PROJECTILES IN SPORT AND RECREATION
8．1 Classes of Projectiles
8．2 Drag-to-weight Ratio
8．3 Shot-put and Hammer Throw
8．4 Basketball
8．5 Tennis， Table Tennis and Squash
8．6 Badminton
8．7 Golf
8．8 Cricket
8．9 Baseball
8．10 Soccer
8．11 Rugby and Australian Rules Football
8．12 Javelin
8．13 Discus， Frisbee and Flying Ring
8．14 Long Jump， High Jump and Ski Jump
8．15 Boomerangs
8．16 Water Jets
8．17 Cars and Cycles
8．18 Seed Dispersal
8．19 The Longest Throw or Kick
8．20 Exercises

REFERENCES
INDEX
编辑手记