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Dynamics cheat sheet
Nasser M. Abbasi
September 7, 2023
Compiled on September 7, 2023 at 10:58pm
1
Vibration
1.1
Modal analysis for two degrees of freedom system
1.2
Fourier series representation of a periodic function
1.3
Generating Transfer functions for different vibration systems
1.4
Solution of Vibration equation of motion for different loading
2
Dynamics equations, kinematics, velocity and acceleration diagrams
2.1
Derivation of rotation formula
2.2
Miscellaneous hints
2.3
Formulas
2.4
Velocity and acceleration diagrams
2.5
Velocity and acceleration of rigid body 2D
2.6
Velocity and acceleration of rigid body 3D
2.7
Wheel spinning precession
2.8
References
2.9
Misc. items
3
Astrodynamics
3.1
Ellipse main parameters
3.2
Table of common equations
3.3
Flight path angle for ellipse \(\gamma \)
3.4
Parabolic trajectory
3.5
Hyperbolic trajectory
3.6
showing that energy is constant
3.7
Earth satellite Transfer orbits
3.8
Rocket engines, Hohmann transfer, plane change at equator
3.9
Spherical coordinates
3.10
interplanetary transfer orbits
4
Dynamic of flights
4.1
Wing geometry
4.2
Summary of main equations
4.3
images and plots collected
4.4
Some strange shaped airplanes
4.5
links
4.6
references