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/ = / (+), which indicates that these long equatorial Rossby waves move in the opposite direction (westward) of Kelvin waves (which move eastward) with speeds reduced by factors of 3, 5, 7, etc. To illustrate, suppose c = 2.8 m/s for the first baroclinic mode in the Pacific; then the Rossby wave speed would correspond to ~0.9 m/s, requiring a 6 ...
At shortest periods are the equatorial gravity waves while the longest periods are associated with the equatorial Rossby waves. In addition to these two extreme subclasses, there are two special subclasses of equatorial waves known as the mixed Rossby-gravity wave (also known as the Yanai wave) and the equatorial Kelvin wave. The latter two ...
Barotropic Rossby waves do not vary in the vertical [clarification needed], and have the fastest propagation speeds. The baroclinic wave modes, on the other hand, do vary in the vertical. They are also slower, with speeds of only a few centimeters per second or less. [5] Most investigations of Rossby waves have been done on those in Earth's ...
The eastward speed of propagation of these waves can be derived for an inviscid slowly moving layer of fluid of uniform depth H. [2] Because the Coriolis parameter (f = 2Ω sin(θ) where Ω is the angular velocity of the earth, 7.2921 × 10 −5 rad/s, and θ is latitude) vanishes at 0 degrees latitude (equator), the “equatorial beta plane” approximation must be made.
For a depth of four kilometres, the wave speed, , is about 200 metres per second, but for the first baroclinic mode in the ocean, a typical phase speed would be about 2.8 m/s, causing an equatorial Kelvin wave to take 2 months to cross the Pacific Ocean between New Guinea and South America; for higher ocean and atmospheric modes, the phase ...
For a barotropic ocean, the Rossby radius is () /, where is the gravitational acceleration, is the water depth, and is the Coriolis parameter. [ 2 ] For f = 1×10 −4 s −1 appropriate to 45° latitude, g = 9.81 m/s 2 and D = 4 km, L R ≈ 2000 km; using the same latitude and gravity but changing D to 40 m; L R ≈ 200 km.
The CHIME telescopes in British Columbia detected the unusual fast radio burst, dubbed FRB 20240209A, in February 2024.
This is a result of the annual Rossby wave. [13] Early each year increased winds in the eastern Pacific generate a region of lower sea level. Over the following months this propagates westward as an oceanic Rossby wave. Its fastest component, near 6°N, reaches the western Pacific around mid-summer. At higher latitudes the wave travels more slowly.