5. Glossary

Aliasing

spurious tidal frequency appearing in an analysis due to inadequate temporal sampling

Amphidrome

point of zero tidal amplitude in a tidal wave due to a canceling of tidal waves

Amplitude

one half of the range of a tidal constituent

Anomaly

angular distance between the perihelion and the position of a celestial body

Apogee

point of an orbit where a celestial body is furthest to Earth

see Perigee

Aphelion

point of an orbit where a celestial body is furthest from the sun

see Perihelion

Apsides

points of an orbit where a celestial body is closest and furthest from the center of attraction

see Perihelion, Aphelion, Perigee and Apogee

Ascending Node

point of an orbit where a celestial body intersects the ecliptic, and the latitude coordinate is increasing

Barycenter

center of mass of a system of bodies, such as the solar system or the Earth-Moon system

Body Tide

see Solid Earth Tide

Chandler Wobble

small, semi-periodic deviations in the motion of the pole of rotation

Compound Tide

harmonic constituent with a speed equal to the sum or difference of the speeds of two or more elementary constituents

Constituent

see Harmonic Constituents

Declination

angular distance of an astronomical body north or south of the celestial equator, with north being positive and south negative

Descending Node

point of an orbit where a celestial body intersects the ecliptic, and the latitude coordinate is decreasing

Diurnal Tide

tidal oscillations with a near-daily period

Earth Tide

tidal variations of the surface of the solid Earth, frequently split into the Body Tide and the Load Tide

Ecliptic

mean plane of the orbit of the Earth around the sun

Ephemerides

plural of Ephemeris

Ephemeris

table of positions and velocities of a celestial body at given instances in time

Epoch

fixed point in time used as a reference value

Equilibrium Theory

model under which the ocean of a uniformly covered Earth responds instantaneously to lunisolar gravitational forces and forms an equilibrium under these forces, in the absence of inertia, currents and the irregular distribution of land

Equilibrium Tide

hypothetical tide produced solely by lunisolar gravitational forces under Equilibrium Theory, in the absence of ocean dynamics or terrestrial constraints

Equinox

the ascending node of the Earth’s orbit about the sun, and the point on the equatorial plane where it meets the ecliptic plane

Flattening

ratio of the difference between the semi-major and semi-minor axes of an ellipsoid to the semi-major axis

Free Core Nutation

Nearly diurnal deviations in the motion of the pole of rotation due to the resonant motion of the Earth’s core relative to the mantle

see Nutation

Frequency

number of cycles in a unit time

Geocentric Tide

tidal variation relative to the Earth’s center of figure, which is equal to the sum of the Ocean Tide and Earth Tide

Geopotential

the Earth’s gravitational potential

Geoid

equipotential surface coinciding with the ocean surface in the absence of astronomical or dynamical effects

Harmonic Analysis

mathematical process by which the tides are separated into Harmonic Constituents

Harmonic Constants

amplitude and phase of the Harmonic Constituents

Harmonic Constituents

harmonic elements of the tide-producing force corresponding with a periodic change of relative position of the Earth, Sun and Moon

Harmonic Prediction

method of estimating tidal elevations and currents through a combination of the Harmonic Constituents

High Water Height

height of the maximum vertical elevation of the tide relative to a fixed datum

see Low Water Height

King Tide

see Spring Tide

Load Tide

elastic deformation of the solid Earth due to ocean and atmospheric tides

Long Period Tide

tidal oscillations with periods much greater than one day (typically 9.1 days to 18.6 years)

Love and Shida Numbers

dimensionless parameters relating the vertical (h), horizontal (l) and gravitational (k) elastic responses to tidal loading

Low Water Height

height of the minimum vertical elevation of the tide relative to a fixed datum

see High Water Height

Lunisolar Tide

tidal constituent induced from a combination of lunar and solar gravitational forces

Mean Tide

model with both direct and indirect permanent tidal effects retained

Neap Tide

tides of the least amplitude within a 15-day cycle

see Spring Tide

Nodal Corrections

adjustments to the amplitudes and phases of harmonic constituents to allow for periodic modulations over the 18.6-year nodal period

Nutation

short-period oscillations in the motion of the pole of rotation of a freely rotating body

Obliquity

angle between the equatorial and orbital planes

Ocean Tide

periodic movement in the level of sea surface due to gravitational and rotational forces

Perigee

point of an orbit where a celestial body is closest to Earth

see Apogee

Perihelion

point of an orbit where a celestial body is closest to the sun

see Aphelion

Period

time it takes to make one complete revolution

Permanent Tide

permanent deformation of the Earth caused by the presence of the Sun and the Moon

see Mean Tide, Tide-Free, and Zero Tide

Polar Motion

irregular motion of the Earth’s pole of rotation relative to the Earth’s crust

Pole Tide

apparent tide due to variations in the Earth’s axis of rotation about its mean

Precession

regular conical motion of the pole of rotation of a freely rotating body

Radiational Tide

tidal constituents or components induced by the absorption and re-emission of solar radiation

Range

height difference between the High Water Height and the Low Water Height

Residuals

differences between the observed sea level and the tidal predictions for a given location

Semi-diurnal Tide

tidal oscillations with an approximate half-day period

Shallow-water Tide

additional tidal constituents necessary for shallow seas that are heavily dependent on ocean bathymetry and coastline geometry

Sidereal day

time it takes for a celestial body to make one complete rotation relative to the stars

Solid Earth Tide

deformation of the solid Earth due to gravitational forces

Species

classification of tidal constituents based on approximate period

see Semi-diurnal Tide, Diurnal Tide, and Long Period Tide

Spring Tide

tides of the greatest amplitude within a 15-day cycle, sometimes called a King Tide

see Neap Tide

Tidal Current

horizontal movement of water due to periodic forces

Tidal Datum

reference level to which a phase of the tides are measured

see High Water Height and Low Water Height

Tidal Species

see Species

Tidal Stream

see Tidal Current

Tide-Free

model with direct and indirect permanent tidal effects removed

Vernal Equinox

intersection of the Earth’s equatorial plane and the Earth’s Ecliptic

see Equinox

Vertical Datum

reference coordinate surface used for vertical positions

Zero Tide

model with permanent direct tidal effects removed, but indirect loading effects retained