A large and powerful extratropical cyclone with an aspect that impressed today in satellite images was acting during this Wednesday in the Atlantic Ocean east of the provinces of Tierra del Fuego, Chubut and Santa Cruz, in Argentina, and over the Falkland Islands. This cyclone caused strong winds in the Patagonia region with wind gusts in some points approaching 100 km/h (62.1371 mi/h, 53.9957knots). Mount Pleasant Airport, in the Falklands, had an atmospheric pressure of 985 hPa with rain showers and wind gusts of around 80 km/h (49.7097 mi/h, 43.1966 knots). (Adapted Authors) 3

The extratropical cyclone at the height of the Falklands had a minimum central pressure of 970 hPa on Wednesday morning, so it is an intense and deep system. It is not an unusual event, since around Antarctica there is a so-called belt of low pressure and more intense cyclones are common in places further south of the Atlantic. (Adapted Authors) 3

In regions closest to the cyclone, such as Patagonia, gusts of wind that will reach speeds close to 100 km/h have already been recorded. Meanwhile, Mount Pleasas Airport, recorded rain showers amid a rain, and wind in the Falklands, of 985hPa. According to MestSul, thousands of miles from the Brazilian south, the cyclone will be responsible for a friar in the southern states. As a result, Rio Grande do Sul, Santa Catarina and Paraná can locally rain heavily and isolated storms in several regions, between today and tomorrow. 3

The Figure 3, Figure 4, Figure 5, Figure 6 shows the evolution of temperature (θ) in (^◦C) as a function of time (t) in hours - hourly, of the subtropical cyclone that passed west and north of the Maldives Islands (Falklands Islands), from March 9, 2022 at 10:40 (UTC), to 5:40 (UTC) on March 10, 2022.

The ellipsoid shape of the subtropical cyclone is verified at 10:40 (UTC) on March 09, 2022 at 13:40 (UTC), when it passes between the south of Argentina, on the east coast, and the west of the Islands of Falklands. At 14:40 (UTC) it becomes spherical, already north of the Falklands Islands until 18:40, where from 19:40 on March 9th until 05:40 on the 10th it remains ellipsoid. Its ellipsoid shape whose eccentricity increases as it is pushed - pressed - by the high pressure area coming from the Amazon region, which crosses Paraguay, Mato Grosso, Mato Grosso do Sul and southern Brazil, entering the Atlantic Ocean towards the southeast. The cyclone nucleus presents the form of a double spiral,

Figure 1, Figure 2, Figure 9, in the same way Figure 8 of the study of the spiral of the galaxies of Lindblad, (1964) 30. This spiral is denoted from Cote’s Spiral Gobato et al. (2000) 11,13,15.

The EC core (Bomb Cyclone) forms in the extreme south of Chile/Argentina, Punta Arenas region, Ushuaia, respectively. With an initial atmospheric pressure of 990mb, on March 08, 2022, 12:00 (UTC), coordinates xxxx, moving northwest of the Atlantic Ocean. Passing between this “strait” of the extreme south of South America and the Falklands Islands, without any storm in the continental region.

The core of cyclone at coordinates 50° 17’ 11"S 60° 47’41"W on March 9 12:00, at 49° 59’ 13"S 60° 37’ 58"W. The one on March 10, 00:00 (UTC), travels 35.31 km (21.9406 miles) in 12 hours, with an average speed of 2.9425 km/h (1.8284 miles/h, 1.5888 knots), that is, 0.82 m/s. Surprisingly after that its speed increases exponentially in 12h, after the cyclone leaves the “strait” between the mainland and the Falklands Islands.

The cyclone travels 592.12 km (367,9263 miles) in 12 hours, with an average speed of 49.3433 km/h (30,6605 miles/h, 26,6433 knots), that is, 13.71 m/s, moving from 49° 59’ 24"S 60° 37’ 48"W at north of the Falklands, March 10, 2022 00:00 (UTC). Figure 10

Data in Table 1 were obtained by analyzing the Figure 7.

As stated in the introduction the characteristic shape of hurricanes, cyclones, typhoons is a spiral. In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point. 33,34,27,35,36, 37,38,39

After an analysis of the different types of spirals , it was found that the shape that came closest to the EC spiral, Figure 1, is a "Cotes’s Spiral." 33,34,27,35,36,37,38, 39It was determined the mathematical equation of the shape of the extratropical cyclone, being in the shape of a spiral called "Cotes’s Spiral" 27

A spiral that gives the solution to the central orbit problem under a radial force law

(1)

where μ is a positive constant. There are three solution regimes,

(2)

Where A and ε are constants, and h is the specific angular momentum 26. The case μ > h² gives an epispiral, while μ = h² leads to a hyperbolic spiral.

Analyzing the shape of the Spiral shape called "Cotes’s Spiral" for μ < h². 2425, it appears that adding two constants to Equation (3) makes the necessary adjustments for the Isobaric ones.

In the case of CB, the spiral that gives the solution to a radial force law is given by Equation (1):

where: r = A sec (kθ +ε), where k² = 1-(μ/h²) , when μ < h² . (3)

An adjustment in Equation (3) is necessary to obtain the B ≠ 0 graph of Figure 7. Then, adding the constants and C where for μ < h².

r= B.A sec (kθ +ε)+ C(4)

Where k² = 1-(μ/h²) (5)

The datas the of of the points coordinates collected from Figure 1, Figure 2 and Figure 7, in Longitude and Latitude, they were obtained 29,32. With the location of the low pressure center (986 mbar) of the EC at 20^◦S -20^◦W, at March 9 00:00 UTC, and the low pressure center of 972 mbar, March 9 12:00 UTC.

In this Figure 9 the shape of the EC is represented, using as a parameter the isobaric ones observed in Figure 1 and Figure 2.

An “explosive extratropical cyclone” is an atmospheric phenomenon that occurs when there is a very rapid drop in central atmospheric pressure. This phenomenon, with its characteristic of rapidly lowering the pressure in its interior, generates very intense winds and for this reason it is called explosive cyclone. It was determined the mathematical equation of the shape of the extratropical cyclone, being in the shape of a spiral called "Cotes’s Spiral." In the case of EC, which formed in the south of the Atlantic Ocean, and passed through the south coast of Argentina and Falkland Island.

The Figure 3, Figure 4, Figure 5, Figure 6 show the temperatures of the clouds and the surface near the low pressure center of the EC. Enhanced satellite images taken from the REDEMET website 31 for cloud temperature data between March 09, 2022 10:40 UTC to March 10, 2022 05:40 UTC. The core maintains a cloud temperature of approximately 20^◦Cto -20^◦C, with its near edge having a gradient of -50^◦C, -60^◦C, -50^◦C, as it moves away on the distance from the core. Only from day 11, that its extreme edge ranging from -50^◦C to -70^◦C, Figure 3, Figure 4, Figure 5, Figure 6

The temperature in the center of the EC is approximately 20^◦C at 00:00 UTC, March 9, 2022, of at 12:20 UTC, in the low pressure center of the EC, the temperature varies from 20^◦C to -30^◦C, indicating that the CE increases in size and further tapers its core, sucking a great amount of steam to high altitudes of water where it condenses quickly.

Figure 8 to demonstrate the structure of spiral galaxies demonstrates a double spiral of Lindblad (1964) 30.

The study demonstrates a double spiral for the extratropical cyclone, similarly a double spiral of Lindblad (1964) 30.

The Figure 9 show the graphic depicts two spirals, constructed with the coordinates of the atmospheric pressure gradients by the wind speed tangent in the vortex of the extratropical cyclone that passed north of the Falklands Islands.

The Figure 10 represents the three possible shapes of the Cote’s spiral. The data indicated that the EC presents the form of the equation (4), Gobato et al. 27