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  2. Airy wave theory - Wikipedia

    en.wikipedia.org/wiki/Airy_wave_theory

    Wave energy is a quantity of primary interest, since it is a primary quantity that is transported with the wave trains. [20] As can be seen above, many wave quantities like surface elevation and orbital velocity are oscillatory in nature with zero mean (within the framework of linear theory).

  3. Orbital state vectors - Wikipedia

    en.wikipedia.org/wiki/Orbital_state_vectors

    Orbital position vector, orbital velocity vector, other orbital elements. In astrodynamics and celestial dynamics, the orbital state vectors (sometimes state vectors) of an orbit are Cartesian vectors of position and velocity that together with their time () uniquely determine the trajectory of the orbiting body in space.

  4. Stokes wave - Wikipedia

    en.wikipedia.org/wiki/Stokes_wave

    Stokes's first definition of wave celerity has, for a pure wave motion, the mean value of the horizontal Eulerian flow-velocity Ū E at any location below trough level equal to zero. Due to the irrotationality of potential flow, together with the horizontal sea bed and periodicity the mean horizontal velocity, the mean horizontal velocity is a ...

  5. Orbital velocity - Wikipedia

    en.wikipedia.org/wiki/Orbital_velocity

    Orbital velocity may refer to the following: The orbital angular velocity; The orbital speed of a revolving body in a gravitational field. The velocity of particles due to wave motion, such as those in wind waves; The equivalent velocity of a bound electron needed to produce its orbital kinetic energy

  6. Wave equation - Wikipedia

    en.wikipedia.org/wiki/Wave_equation

    By comparison with vector wave equations, the scalar wave equation can be seen as a special case of the vector wave equations; in the Cartesian coordinate system, the scalar wave equation is the equation to be satisfied by each component (for each coordinate axis, such as the x component for the x axis) of a vector wave without sources of waves ...

  7. Perifocal coordinate system - Wikipedia

    en.wikipedia.org/wiki/Perifocal_coordinate_system

    The position and velocity vectors can be determined for any location of the orbit. The position vector, r , can be expressed as: r = r cos ⁡ θ p ^ + r sin ⁡ θ q ^ {\displaystyle \mathbf {r} =r\cos \theta \mathbf {\hat {p}} +r\sin \theta \mathbf {\hat {q}} } where θ {\displaystyle \theta } is the true anomaly and the radius r = ‖ r ...

  8. List of equations in wave theory - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_wave...

    The phase velocity varies with frequency. The phase velocity is the rate at which the phase of the wave propagates in space. The group velocity is the rate at which the wave envelope, i.e. the changes in amplitude, propagates. The wave envelope is the profile of the wave amplitudes; all transverse displacements are bound by the envelope profile.

  9. Wave nonlinearity - Wikipedia

    en.wikipedia.org/wiki/Wave_nonlinearity

    Generally, skewed waves have a short and high wave crest and a long and flat wave trough. [6] A skewed wave shape results in larger orbital velocities under the wave crest compared to smaller orbital velocities under the wave trough. For waves having the same velocity variance, the ones with higher skewness result in a larger net sediment ...