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Words: 3k
Articles: 156
Table of contents
3k
156
Newtonian gravitational field
Classical mechanics
16
Degree of freedom
Classical mechanics
19
Mechanical constraint
Classical mechanics
16
Position
Classical mechanics
63
5
Plane polar coordinates
Position
16
Velocity
Position
35
3
Speed
Velocity
7
Acceleration
Velocity
6
Constant speed
Velocity
16
Momentum
Classical mechanics
133
5
Rocket equation
Momentum
60
1
Forward-exhaust rocket equation
Rocket equation
24
Angular momentum
Momentum
58
2
Torque
Angular momentum
18
Areal velocity
Angular momentum
27
Energy
Classical mechanics
194
11
Work
Energy
33
2
Work-energy theorem
Work
11
Power
Work
9
Kinetic energy
Energy
32
1
Rotational kinetic energy
Kinetic energy
22
Potential energy
Energy
96
4
Conservative force
Potential energy
27
Inverse-square potential
Potential energy
10
Exponential cusp potential
Potential energy
30
Escape velocity
Potential energy
15
Turning point
Energy
23
Period of an oscillation
Classical mechanics
15
Force
Classical mechanics
70
3
Newton's second law
Force
14
Newton's third law
Force
27
Normal force
Force
12
Circular motion
Classical mechanics
19
Inverse-square force
Classical mechanics
14
Displacement
Classical mechanics
9
Time
Classical mechanics
7
Mass
Classical mechanics
11
Rolling acceleration with rotational inertia
Classical mechanics
18
Angular momentum about the centre of mass
Classical mechanics
29
Legendre transform in mechanics
Classical mechanics
51
1
Singular Legendre transform of a degree-one velocity Lagrangian
Legendre transform in mechanics
33
Hamiltonian of a charged particle
Classical mechanics
11
Virial theorem
Classical mechanics
18
Hamiltonian mechanics
Classical mechanics
442
23
Phase space
Hamiltonian mechanics
47
1
Symplectic form
Phase space
22
Hamiltonian
Hamiltonian mechanics
34
1
Hamilton's equations
Hamiltonian
17
Poisson bracket
Hamiltonian mechanics
90
4
Jacobi identity for the Poisson bracket
Poisson bracket
31
1
Poisson bracket of conserved quantities
Jacobi identity for the Poisson bracket
26
Hamiltonian conservation law
Poisson bracket
23
Phase-space dilation generator
Poisson bracket
21
Variational derivative
Hamiltonian mechanics
49
1
Hamiltonian field equation
Variational derivative
20
Canonical transformation
Hamiltonian mechanics
55
2
Type-two generating function for a canonical transformation
Canonical transformation
15
Type-one generating function for a canonical transformation
Canonical transformation
13
Integrable Hamiltonian system
Hamiltonian mechanics
145
7
Arnold-Liouville theorem
Integrable Hamiltonian system
18
Action-angle variables
Integrable Hamiltonian system
114
5
Action variable
Action-angle variables
94
4
Adiabatic invariance of the action
Action variable
63
2
Adiabatic particle between moving parallel walls
Adiabatic invariance of the action
25
Adiabatic parameter scaling from an action
Adiabatic invariance of the action
14
Action of the one-dimensional Kepler collision orbit
Action variable
13
Liouville theorem in Hamiltonian mechanics
Hamiltonian mechanics
10
Poincare recurrence theorem
Classical mechanics
16
Particle dynamics
Classical mechanics
180
10
One-dimensional conservative motion
Particle dynamics
77
4
Period near a separatrix
One-dimensional conservative motion
14
Simple harmonic motion
One-dimensional conservative motion
48
2
Quartic oscillator
Simple harmonic motion
16
Isochronous harmonic motion
Simple harmonic motion
18
Collision mechanics
Particle dynamics
56
3
Elastic collision
Collision mechanics
10
Oblique collision
Collision mechanics
17
Impulse
Collision mechanics
14
Freely expanding rotating particle ring
Particle dynamics
37
Celestial mechanics
Classical mechanics
217
13
Kepler orbit
Celestial mechanics
210
12
Binet equation
Kepler orbit
49
1
Shifted inverse-radius potential
Binet equation
27
Orbital eccentricity
Kepler orbit
9
Hyperbolic Kepler orbit
Kepler orbit
25
1
Gravitational scattering angle
Hyperbolic Kepler orbit
14
Parabolic Kepler orbit
Kepler orbit
29
1
Barker equation
Parabolic Kepler orbit
19
Periapsis
Kepler orbit
12
Apoapsis
Kepler orbit
13
Semi-major axis
Kepler orbit
24
Semi-minor axis
Kepler orbit
13
Hohmann transfer
Kepler orbit
22
Rigid body dynamics
Classical mechanics
589
23
Symmetric top
Rigid body dynamics
25
Angular velocity
Rigid body dynamics
19
Fixed space frame
Rigid body dynamics
17
Principal body frame
Rigid body dynamics
58
1
Derivative of a body-fixed basis vector
Principal body frame
23
Euler equations for a torque-free rigid body
Rigid body dynamics
129
4
Torque-free rigid-body invariants
Euler equations for a torque-free rigid body
25
Coplanarity in a torque-free axisymmetric rigid body
Euler equations for a torque-free rigid body
31
Intermediate axis theorem
Euler equations for a torque-free rigid body
60
1
Intermediate-axis separatrix
Intermediate axis theorem
36
Moment of inertia
Rigid body dynamics
195
6
Inertia tensor
Moment of inertia
44
1
Poinsot construction
Inertia tensor
32
Parallel axis theorem
Moment of inertia
17
Perpendicular axis theorem
Moment of inertia
30
Angular rocket equation
Moment of inertia
42
Moment of inertia of a solid cone about its vertex
Moment of inertia
45
Euler angles for a symmetric top
Rigid body dynamics
117
4
Heavy symmetric top Lagrangian
Euler angles for a symmetric top
91
3
Heavy symmetric top Hamiltonian
Heavy symmetric top Lagrangian
64
2
Heavy symmetric top reduction
Heavy symmetric top Hamiltonian
51
1
Gyroscopic stabilization of an inverted symmetric top
Heavy symmetric top reduction
29
Rolling without slipping
Rigid body dynamics
15
Lagrangian mechanics
Classical mechanics
762
28
Action
Lagrangian mechanics
42
1
Principle of stationary action
Action
18
Total-time-derivative invariance of a Lagrangian
Lagrangian mechanics
25
Charged-particle electromagnetic Lagrangian
Lagrangian mechanics
110
2
Gauge variation of the charged-particle Lagrangian
Charged-particle electromagnetic Lagrangian
28
Canonical momentum parallel to a uniform magnetic field
Charged-particle electromagnetic Lagrangian
43
Generalized momentum
Lagrangian mechanics
40
1
Ignorable coordinate
Generalized momentum
26
Conserved quantities from cyclic coordinates
Lagrangian mechanics
20
Axially symmetric isotropic-mass Lagrangian
Lagrangian mechanics
48
Double pendulum
Lagrangian mechanics
51
2
Double pendulum Lagrangian
Double pendulum
18
Double pendulum equations of motion
Double pendulum
16
Kinetic energy from Cartesian position vectors
Lagrangian mechanics
20
Small oscillation
Lagrangian mechanics
379
12
Stable equilibrium in Lagrangian mechanics
Small oscillation
33
Angular frequency
Small oscillation
20
Two vertically suspended springs
Small oscillation
78
1
Vertical normal modes of two equal suspended masses
Two vertically suspended springs
43
Small-oscillation mass and stiffness matrices
Small oscillation
22
Generalized eigenvalue problem for small oscillations
Small oscillation
209
6
Mass-matrix orthogonality of normal modes
Generalized eigenvalue problem for small oscillations
31
Normal modes of a double pendulum
Generalized eigenvalue problem for small oscillations
14
Square-root splitting of nearly degenerate frequencies
Generalized eigenvalue problem for small oscillations
21
Degenerate normal modes from permutation symmetry
Generalized eigenvalue problem for small oscillations
84
1
Normal modes of three equal masses with a symmetric gap potential
Degenerate normal modes from permutation symmetry
51
Normal modes of two equal masses between three springs
Generalized eigenvalue problem for small oscillations
40
Conservation of energy from time-translation invariance
Lagrangian mechanics
13
Center of mass
Classical mechanics
206
6
Center-of-mass motion
Center of mass
163
4
Center-of-mass reduction
Center-of-mass motion
141
3
Jacobi coordinates for three particles
Center-of-mass reduction
69
1
Angular momentum decomposition in three-body Jacobi coordinates
Jacobi coordinates for three particles
29
Collective rotation and gap coordinates on a circle
Center-of-mass reduction
55
Reduced mass
Center of mass
15
Uniform gravitational field
Classical mechanics
16
Normal coordinate
Classical mechanics
44
1
Antisymmetric molecular vibration
Normal coordinate
25
Ancestors
(3)
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