Relationships between Earth ’ s Rotation or Revolution and Geographical Extent of the Global Surface Monsoons

Monsoon seasons, occasionally also known as wet seasons or trade-wind littoral seasons, are found in the regions where there is a complete seasonal reversal of the prevailing surface winds. Accompanying these shifts in the prevailing surface winds are modulations in rainfall activity. Given the fact that our knowledge of the monsoons is mainly based on the interpretation of the mean values of precipitation, cloudiness and winds; relationships between earth’s rotation or revolution and geographical extent of the global surface monsoons deserve to be highlighted. In the abundant literary and audiovisual production devoted to monsoons worldwide and despite the fact that everyone agrees with physical law which shows that Coriolis force acts to the right in the northern hemisphere (to the left in the southern hemisphere), there is no reference to the relationship between Coriolis force (due to earth’s rotation) effects on troposphere general circulation and geographical extent of the global surface monsoons. Furthermore knowing that the ITCZ oscillations on either side of the equators (due to earth’s revolution) determine the seasons (mainly winter and summer), it is clear that earth’s revolution also plays a crucial role in the seasonal reversal of the prevailing surface winds observed in the regions where monsoons are found. Our main objective is to provide a rational answer to the question: what is a monsoon?


Introduction
The monsoons influence the climates of India, Bangladesh, Southeast Asia, and, to a lesser extent, northern Australia and Central Africa.They are found in those regions where there is a complete seasonal reversal of easterly (or westerly) winds.Despite the interest shown by scientists in monsoons [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], many questions remain about the physical processes capable of generating complete seasonal reversal of the prevailing surface winds.In this work we want to develop a better description of the relationship between earth's rotation-revolution with respect to sun and geographical extent of the global surface monsoons.In our previous work [21][22][23][24], we deduce from Clausius-Clapeyron relation derived in 1832 that, unlike the dry water vapor that can be assimilated to the ideal gas at all circumstances, the saturated water vapor has, in an air parcel at the same time very cold (temperatures below 0.0098˚C) and rich in moisture (vapor pressure above 6.11 mb), thermoelastic properties diametrically opposed to those of ideal gas (including dry water vapor).I.e., the two equal level surfaces of water vapor and temperature rating respectively at 6.11 mb and 0.0098˚C separate clearly parts of the troposphere where ideal gas assumption can be applied without too distort reality to parts of the troposphere where this assumption is banned.Therefore, everyone can now easily note with satisfaction that the presence of water substance in all three states in the earth's atmosphere gives to troposphere the exclusivity of a General Circulation consisting of three groups of passive convective cells (Hadley, Ferrel, and Polar) on either side of the ITCZ.Knowing that the ITCZ oscillations on either side of the equators due to earth's revolution determine the hemisphere's seasons (mainly winter and summer), it is clear that earth's revolution plays a crucial role in the seasonal reversal of the prevailing surface winds observed in the regions where monsoons occur.Our results will mainly be based on representation in either side of the ITCZ of the seasonal prevailing surface winds triggered by Coriolis force effects on Hadley, Ferrel and Polar cells.

Troposphere General Circulation Based
on Atmosphere Dynamic Balance

Troposphere Dynamic Balance
Atmosphere dynamics uses precise concept of air particle [25][26][27].Especially: 1) Few exchanges on molecular scale: it is easy to follow quantity of air which preserves certain properties.
2) Quasi-static equilibrium: at any moment there is dynamic balance, i.e., the particle has the same pressure as its environment (P = P ext ).
3) No thermal balance: heat transfers by conduction are very slow and neglected.One can have T ≠ T ext .
4) The horizontal sizes of the air particle can go from a few cm to 100 km according to the applications.
Taking into account the fact that the atmosphere is mainly composed of dry air and water vapor, the Dalton's law connects the pressure (P) with the partial pressure of dry air (P a ) and saturated water vapor (e w ) In deriving (P) with respect to the temperature, one has d d According to the Quasi-static equilibrium (or dynamic balance) the pressure of the parcel of air must be the same as that of the ambient air, including during sudden local changes in phases by water contained in this parcel.Reality that all meteorologists restore through the following famous sentence: the phases change takes place at constant pressure.Thereby write Equation ( 3), dP  Equations ( 2) and ( 3) lead to the derivative of V compared to T Introducing the coefficient of thermal expansion of moist air at constant temperature Then the Fundamental Relationship of Atmosphere Dynamic Balance: One can also write equation of Atmosphere dynamic balance in terms of partial pressures Or,

Relations (6) and (7) lead to a very important atmosphere Dynamics statement:
At any moment and throughout the atmosphere, one can use Equations ( 6) or (7) and Clausius-Clapeyron slope of the equilibrium curves in the eT-plane (Figure 1) to predict in which direction the air parcel will move (up or down) if its temperature increases or decreases.Table 1 and Figure 2 provide an overview of possible situations in the troposphere.

Troposphere General Circulation Based on Moist Air Dynamic Balance
The two equal level surfaces of water vapor and temperature rating respectively at 6.11 mb and 0.0098˚C (Figure 2) separate clearly parts of the troposphere where ideal gas assumption can be applied without too distort reality to parts of the troposphere where this assumption is banned: hence appropriate and unique plots of earth's atmosphere tricellular circulation (Figure 3).

Coriolis Force Effects on Troposphere General Circulation
Coriolis force is everywhere perpendicular to the relative

Conclusions and Comments
In the northern hemisphere, the sun declination reaches its extreme values on June and July: it is precisely during this period that the monsoon rains are most abundant.This shows that there is a closely relationship between the two climatic factors that are the sun declination (which is aligned on the ITCZ, with a slight phase delay) and

Figure 1 .Table 1 .Figure 2 .
Figure 1.Saturation curves for water substance onto the eT-plane (e wT and T T are triple-point coordinates): e wT = 6.11 mb; T T = 0.0098˚C.

Figure 4 .Figure 5 .
Figure 4. Easterly and Westerly winds triggered by Coriolis force acting on the Hadley Cell.

Figure 6 .Figure 7 .
Figure 6.(a) Schematic localization of prevailing surface winds in summer: with respect to Northern hemisphere; (b) Worldwide Geographical Extent of the prevailing surface winds in summer: with respect to Northern hemisphere.monsoonrainfall intensity.Whether the Northern Hemisphere or Southern Hemisphere, monsoons are weather phenomena closely associated with the earth's rotation effects on general circulation of the troposphere and ITCZ oscillations performed by earth's revolution.Monsoon precipitation intensity also depends on the proximity of oceans or sees whose are heat reservoirs capable of producing water vapor even at night due to liquid water inertia.Monsoon is then characterized by hot and particularly wet surface winds that are as tropical wet climates or tropical and trade-wind littoral climates.Therefore it is necessary to avoid confusing monsoons, of which time scales (several decades) are comparable to those of the general circulation, with sees breezes of much smaller

Figure 8 .
Figure 8. Geographical extend of the global surface Monsoons.