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The Atmosphere
Meteorology · Chapter 1

The Atmosphere

What the air is actually made of

6 min read
Written from Joshi 1, Composition and Structure Oxford Vol 9, 1.1 to 1.4

Meteorology is the branch of science dealing with the earth's atmosphere and the physical processes occurring in it. You are not studying it to become a forecaster. You are studying it because weather is the one factor in modern aviation over which nobody has any control, and a pilot who understands it can at least anticipate what it is about to do.

The syllabus asks you to be able to do five things: understand the physical processes going on in the atmosphere, understand the hazards and how to reduce the risk from them, identify what weather information a given flight needs, interpret actual and forecast weather from the documents you are handed, and evaluate all of that before and during the flight.

The atmosphere, defined

Oxford gives you the definition to reproduce in the paper: the spheroidal gaseous envelope surrounding a heavenly body. Joshi describes the same thing more usefully: an envelope of a roughly uniform mixture of gases, called air, held to the earth by gravity, turning with the earth at the same speed and in the same direction.

It is about 480 km thick, but there is no line where it stops. It simply thins until it merges with space. What matters for flying is that it is bottom heavy: about 80 per cent of the whole atmosphere sits inside the lowest 16 km.

Composition by volume

GasPer cent by volumeWorth knowing
Nitrogen78.09%Inert, does nothing for weather
Oxygen20.95%What keeps you conscious
Argon0.93%Inert
Carbon dioxide0.03%Joshi quotes 0.035%, a greenhouse gas

Plus traces of neon, krypton, hydrogen, nitrous oxide, carbon monoxide, ammonia, helium, xenon, methane, nitrogen dioxide, sulphur dioxide, iodine and ozone. On top of the gases the air also carries solid particles and water vapour, and from a weather point of view water vapour is the single most important thing in the list.

Nitrogen and oxygen together are almost 99 per cent of the air. Joshi gives the ratio in a form DGCA has asked for directly, and these are the four numbers from this page that keep turning up in papers.

4 : 1Nitrogen to oxygen, by volume
3 : 1Nitrogen to oxygen, by weight
10 000 ftAbove this, supplementary oxygen is needed
3 mmThe whole ozone layer, brought down to sea level
Exam wording Because the amount of gas falls off rapidly with height, supplementary oxygen is needed above 10 000 ft. The proportions of the constituents themselves stay constant up to at least 60 km, ozone excepted.

Homosphere and heterosphere

Up to roughly 80 km the mixing processes of the lower atmosphere keep everything stirred together, so the mixture stays the same. Joshi calls this the homosphere. Above it the mixing stops, the gases separate out by weight under gravity, and that region is the heterosphere. Oxford quotes the changeover as at least 60 km rather than 80. Either figure is accepted, and no DGCA option has turned on the difference.

Variable gases, and why they matter

Water vapour, carbon monoxide, sulphur dioxide, nitrogen dioxide and methane vary from place to place. They concentrate over industrial areas, cities and water bodies, and thin out over open country. They are tiny in quantity and enormous in effect.

Greenhouse gases

Water vapour, carbon dioxide, ozone and methane let short wave solar radiation straight through, but partly absorb the long wave radiation coming back off the earth and re-radiate it. That is the greenhouse effect, and it keeps the planet warmer than it would otherwise be.

Carbon dioxide

Carbon dioxide comes from burning fuel and wood. It is heavy over industrial areas and negligible in polar regions and at altitude. A great deal of it is dissolved in the oceans, and plants take it in and give oxygen back.

Ozone

Ozone forms in the upper atmosphere, where it absorbs ultraviolet radiation from the sun and warms the air doing so. The molecules then grow heavier, sink and collect lower down. Appreciable ozone is found between 10 and 50 km, with the maximum concentration at 20 to 25 km. Oxford adds a figure that sticks in the memory: if the entire ozone layer were brought down to sea level it would be only 3 mm thick.

The ozone hole is the recent thinning of that layer, mainly over the poles, caused by halocarbon refrigerants, solvents and chlorofluorocarbons. On reaching the stratosphere they release halogen atoms by photodissociation, and those break ozone down into ordinary oxygen.

Solid particles

Solid particles, salt from evaporating sea water, dust from arid regions and industrial soot, block some solar radiation and cut visibility. They also act as condensation nuclei, which means they let water vapour condense earlier than it otherwise would. That is why fog and smog are worse over cities.

Water in the air

Water exists in the atmosphere in all three states: solid as snow, ice and hail, liquid as drizzle, rain and showers, and gas as water vapour. The amount of vapour air can hold depends mostly on its temperature, and warmer air can hold more. Vapour content falls away quickly with height, and is almost nothing at the poles and above 30 000 ft.

In the tropics, between 23½°N and 23½°S, air can hold as much as 4 per cent water vapour by volume. At that point the air is saturated and has 100 per cent relative humidity. Below that it is unsaturated, which Joshi calls dry air.

Properties you can be asked to list

The earth's atmosphere varies both vertically and horizontally in pressure, temperature, density and humidity. It is fluid, it has weight and therefore exerts pressure, it is compressible and expandable, it occupies space and has no definite shape, it supports life only at the lower levels, and it is a poor conductor of heat and electricity.

Atmosphere of the earth is an envelope of homogeneous mixture of gases, called Air. It surrounds the earth and is attached to it due to gravitation.IC Joshi, Aviation Meteorology, chapter 1
The spheroidal gaseous envelope surrounding a heavenly body.Oxford ATPL Vol 9, 1.3

Oxford gives the definition to write down. Joshi gives the picture to think with. This course keeps both, because the paper rewards the first and flying rewards the second.

How the atmosphere is heated

4 min read
Written from Joshi 1, Thermal Structure Oxford Vol 9, 1.5

Everything else in this subject rests on one sentence, so learn it before anything else:

The sentence the whole subject hangs on The atmosphere is heated from below, not from above.

Solar radiation passes through the air fairly freely and heats the surface of the earth. The surface then heats the air sitting on it, by conduction into the layer touching the ground, by convection carrying that warmth upward, by radiation, and by the release of latent heat when water vapour condenses.

Move away from the surface and there is less of that warming to go round, so temperature falls steadily with height. That is the whole reason for the lapse rate you are about to meet, and the reason the lowest layer of the atmosphere behaves the way it does.

Where the heat actually comes from

Joshi splits the flow of heat from the surface into the atmosphere into two parts, and the split is not what most students guess:

RouteMechanismShare
Sensible heatConduction, convection, radiation23%
Latent heatEvaporation, condensation, sublimation77%

Three quarters of the heat that reaches the atmosphere gets there inside water molecules. Water evaporates at the surface, taking heat with it, rises, condenses higher up and lets that heat go. It is worth pausing on that, because it explains why water vapour drives so much of the weather you will study later.

Where the air actually is

The atmosphere is held down by gravity, so it is densest at the bottom and thins with height. Joshi gives the vertical distribution of mass in a form that is easy to remember and easy to be asked:

  • Half of the atmosphere by mass lies below 6 km
  • Three quarters lies below 10 km
  • 99 per cent lies below 35 km

Oxford states the same idea by layer rather than by height: the troposphere, the lowest layer, holds about three quarters of the total atmosphere by weight and contains almost all of the weather. Both are saying that essentially all of aviation happens in the bottom sliver of the atmosphere.

Where students lose the mark A question that asks where most of the atmospheric mass is wants the troposphere. A question that asks where most of the water vapour is also wants the troposphere, and Joshi puts the figure at 99 per cent of it. Do not confuse either with the ozone maximum, which is at 20 to 25 km and firmly in the stratosphere.

Lapse rate

The rate at which temperature falls as you climb is called the lapse rate. In the troposphere the average is about 6.5°C per kilometre, which is 1.98°C per 1000 ft. In practice everybody uses 2°C per 1000 ft for mental arithmetic, and that is the number you will use for the rest of this subject.

That figure is an average through the whole layer, not a promise about any particular day. Chapter 7, adiabatics and stability, is entirely about what happens when the real lapse rate on the day differs from it.

The layers, from the ground to space

7 min read
Written from Joshi 1, Figure 1.1 Oxford Vol 9, 1.6

Satellite and high altitude flights confirmed that the atmosphere sorts itself into well defined horizontal layers, and the thing that defines them is what temperature does with height. Where the trend reverses, a new layer begins, and the boundary takes the name of the layer below it with "pause" on the end.

The figure below is Joshi's Figure 1.1 rebuilt so you can move through it. Drag the slider to fly up through the atmosphere and watch which way the temperature is going.

Interactive Thermal structure of the atmosphere
Height0 km
Height0 ft
Temperature15.0 °C
LayerTroposphere
Temperature against height, drawn from the ICAO standard atmosphere below 32 km and from the values both books quote above it. The trend reverses four times, and each reversal is a boundary.

Troposphere

The lowest layer, and the one where temperature decreases with an increase in height. It reaches 16 to 18 km at the equator and 8 to 10 km at the poles, and the reason it is deeper at the equator is the rising hot convection currents there. It holds about three quarters of the atmosphere by weight, 99 per cent of the water vapour and the aerosols, and almost all of the weather. It is generally unstable, it is turbulent and well mixed, and it is where almost all flying is done.

Joshi subdivides it, and DGCA has asked for the boundaries:

Sub layerFromTo
Lower troposphereSurface2.1 km
Mid troposphere2.1 km7.6 km
Upper troposphere7.6 kmTropopause

Tropopause

The boundary between the troposphere and the stratosphere, and the level where temperature ceases to fall with an increase in height. Oxford gives the practical test: it is taken as the height where the fall in temperature drops below 0.65°C per 100 m, that is 2°C per 1000 ft. Joshi says the same thing from the other side, that the lapse rate at the tropopause reduces to 1 to 2°C per km.

The tropopause gets a page of its own next, because it carries more exam weight than any other boundary here.

Stratosphere

The layer above the tropopause. Temperature stays constant for the first 8 to 10 km, to an average height of about 20 km, then increases, slowly at first and sharply towards the top, reaching about −2.5°C at 47 km. Above about 51 km it starts falling again.

The cause of that increase is the one thing to remember about the layer: ozone absorbing ultraviolet radiation from the sun. The absorption releases heat, so this layer is warmed from above, the exact opposite of the troposphere. The ozone layer itself sits inside it at around 25 km.

For a pilot the stratosphere is attractive air. It is very dry, stable, has no weather, and its winds are steady, strong and horizontal. The only cloud you will see is nacreous cloud, also called mother of pearl cloud, occasionally in the upper stratosphere at high latitudes in winter.

Its upper boundary is the stratopause, at an average height of about 50 km in temperate latitudes.

Mesosphere

From the stratopause up to about 80 km. There is little solar absorption here and weak vertical mixing, so temperature falls again with height. On rare occasions noctilucent cloud is seen in the upper mesosphere over polar regions.

Mesopause

The top of the mesosphere, where temperature stops falling. It is the coldest part of the whole atmosphere, about −100°C, which is 173 K, at 80 km. Meteors burn up in this region.

Thermosphere, ionosphere and exosphere

From the mesopause upward, temperature increases with height again. The atmosphere above about 60 km is also called the ionosphere, which is what makes long range radio propagation possible, and which is why serious radio interference happens during solar disturbances. Above the thermosphere is the exosphere, extending up to 10 000 km, where molecules and atoms escape into space. The air there is so thin that individual particles can be extremely energetic while the layer as a whole holds almost no heat at all.

Where students lose the mark Two layers have temperature rising with height, the stratosphere and the thermosphere. Two have it falling, the troposphere and the mesosphere. If a question describes a layer with a temperature inversion and marked stability in the middle atmosphere, it wants the stratosphere.
The Stratosphere is the layer above the troposphere where temperature initially remains constant to an average height of 20 km then increases to reach a temperature of −2.5°C at a height of 47 km, then above 51 km temperature starts to decrease again. The reason for the increase is the action of ultraviolet radiation in the formation of ozone.Oxford ATPL Vol 9, 1.6
The inversion is produced by the absorption of UV radiation from sun by ozone, which safeguards earth from harmful radiation. It is a very dry and stable region with low humidity and no weather.IC Joshi, Aviation Meteorology, chapter 1

The tropopause, and why it earns a page

6 min read
Written from Joshi 1, Tropopause Oxford Vol 9, 1.6 to 1.8

Two facts control everything in this section, and they point in opposite directions, which is exactly why students get them backwards.

The two rules Warmer surface air, higher tropopause. The height is controlled by the temperature of the air near the surface.

Higher tropopause, colder tropopause. The temperature at the tropopause is controlled by its height.

Put together: the equator has the warmest surface, so it has the highest tropopause, so it has the coldest tropopause. The poles have the coldest surface, the lowest tropopause, and therefore the warmest tropopause. Every tropopause question is some version of that chain.

Interactive Tropopause height and temperature against latitude
Latitude
Tropopause16.5 km
Approx levelFL540
Temperature−75 °C
SectionTropical
The tropopause does not slope smoothly. It steps down at two breaks, near 40° and 60° of latitude, and a jet stream sits at each break. This is Oxford Figure 1.1 combined with the three named sections Joshi uses.

The numbers to carry

WhereHeightTemperature
Equator16 to 18 km−75°C to −80°C
50°N, the ISA case11 km, 36 090 ft−56.5°C
Poles8 km, Joshi says 8 to 10−40°C to −50°C

Breaks, folds and the three sections

There are two places where the tropopause abruptly changes height, called breaks or folds, at approximately 40° and 60° of latitude. The break at 40° is the more prominent one. Jet streams occur at these breaks, which is the whole reason the breaks are examinable. They divide the tropopause into three sections:

  • Tropical tropopause. Usually at the 100 hPa level, from the equator out to about 35° to 40°. Over India it sits at about 16 to 16.5 km.
  • Middle tropopause. Near the 200 hPa level, between the polar and tropical sections. Over India it is at about 11.5 km with a temperature near −45°C, and in winter it can reach down to 23°N. The subtropical jet stream sits at its southern end.
  • Polar tropopause. Near the 300 hPa level, poleward of about 45° to 60°. It is occasionally noticed over Srinagar in winter when polar air pushes south. The polar front jet stream sits at its southern end.

Why the tropopause height matters to you

Its height usually marks:

  • the maximum height of significant cloud
  • the presence of jet streams
  • the presence of clear air turbulence, now written as TURB in forecasts
  • the maximum wind speed
  • the upper limit of most of the weather

All of those sit just below the tropopause, not above it. That is why a cruising level chosen relative to the tropopause is a real operational decision and not a piece of trivia.

Temperature across the globe, and the reversal at 8 km

In the troposphere, temperature increases from the poles to the equator, which is what you would expect. In the lower stratosphere it increases from the equator to the poles in summer, and reaches its maximum in mid latitudes in winter.

Joshi makes the consequence explicit, and it is a favourite question. Because temperature keeps falling with height right up to a much higher tropopause at the equator, and stops falling much lower down over the poles, above about 8 km the poles are warmer than the equator. That is the reversal of temperature and density above 8 km.

Atmospheric hazards at altitude

As operating altitudes rise, two things become a real concern. Ozone, because above 50 000 ft normal concentrations exceed tolerable limits and the air has to be filtered before it enters the cabin. In practice the heat of the compressor system breaks most of it down to an acceptable level anyway. And cosmic radiation, which is not normally hazardous, but during solar flare activity a lower flight level may be necessary.

The International Standard Atmosphere

6 min read
Written from Joshi 1, ISA and JSA Oxford Vol 9, 1.10 to 1.12

Temperature and pressure vary with time and position, both horizontally and vertically. That is a problem, because an altimeter has to be calibrated against something and an aircraft has to be performance tested against something. So aviation agreed on an imaginary average atmosphere and calibrates everything against it.

It exists for exactly two reasons: the calibration of aircraft pressure instruments, and the design and testing of aircraft. Joshi adds performance evaluation, which is the same idea applied daily.

The ICAO International Standard Atmosphere

QuantityStandard value
AirDry
MSL temperature+15°C, 288.15 K
MSL pressure1013.25 hPa
MSL density1225 g per cubic metre
Acceleration due to gravity980.665 cm per second squared
Lapse rate to 11 km, 36 090 ft0.65°C per 100 m, 1.98°C per 1000 ft
11 km to 20 km, 65 617 ftConstant at −56.5°C
Above 20 kmRise of 0.1°C per 100 m, 0.3°C per 1000 ft, to −44.5°C at 32 km

ISA is defined all the way from −5 km to 80 km, but between mean sea level and 20 km is the only part you need. For calculations up to the tropopause everyone uses a lapse rate of 2°C per 1000 ft.

ISA temperature at a level

Reduce the sea level temperature by 2°C for every 1000 ft:

The formula ISA temperature = 15 − 2 × (altitude in thousands of feet)
At 18 000 ft: 15 − (2 × 18) = −21°C.
Above 36 000 ft the ISA is isothermal, so the answer is −57°C no matter how much higher you go.

ISA deviation

To work out true altitude, and to assess performance data, you need to know how far the real day differs from the standard one. Subtract the standard from the real:

The formula ISA deviation = actual temperature − ISA temperature
At 18 000 ft with an actual temperature of −27°C: −27 − (−21) = ISA −6.
Interactive ISA temperature and deviation
Altitude18 000 ft
ISA temp−21 °C
Actual−27 °C
DeviationISA −6
Move the altitude and type in the outside air temperature the question gives you. The blue line is the standard atmosphere, the red dot is the real day, and the gap between them is the deviation.

Practise the arithmetic

Work these out before you look at the answers. This is exactly the form DGCA uses.

HeightActual tempISA tempISA deviation
5 000 ft+9°C+5°CISA +4
10 000 ft−10°C−5°CISA −5
25 000 ft−30°C−35°CISA +5
39 000 ft−62°C−57°CISA −5
Where students lose the mark The last row is the one that catches people. At 39 000 ft the ISA temperature is not 15 − 78. It is −57°C, because the standard atmosphere stops cooling at 36 090 ft. Applying the 2° per 1000 ft rule above the tropopause is the single most common error in this chapter.

Standard pressure levels, and the flight levels they sit at

Upper air charts are drawn at fixed pressures, not fixed heights, and the back questions in both books assume you know which flight level each one corresponds to in the standard atmosphere. Learn this table. It is the most quoted piece of arithmetic in the whole subject.

Pressure levelApprox heightFlight levelISA temperature
1013 hPaMean sea level+15°C
850 hPa5 000 ftFL50+5°C
700 hPa10 000 ftFL100−5°C
500 hPa18 000 ftFL180−21°C
400 hPa24 000 ftFL240−33°C
300 hPa30 000 ftFL300−45°C
250 hPa34 000 ftFL340−53°C
200 hPa39 000 ftFL390−57°C
Memory hook 850 is 5, 700 is 10, 500 is 18, 300 is 30, 200 is 39. Five numbers carry almost every upper air question you will be asked. Notice that 500 hPa is roughly halfway up the atmosphere by pressure and yet sits at only 18 000 ft.

Once you have the table, a whole family of questions becomes one step. Asked to judge a temperature of −15°C at the 700 hPa level, read 700 hPa as FL100, where ISA is −5°C, so the air is 10 degrees below standard, which is cold for that level.

Finding the freezing level

The same arithmetic run backwards gives the freezing level, and it comes up constantly in the icing chapter later.

Worked example You are at FL140 and the outside air temperature is −8°C. Where is the freezing level?

You need to gain 8 degrees to reach zero, and temperature rises 2°C per 1000 ft as you descend, so descend 8 ÷ 2 = 4 000 ft. The freezing level is FL100.

Lapse rate, inversion and isothermal

Three words describe what temperature can do with height, and DGCA uses all three.

  • A positive lapse rate is the normal case, temperature falling with height.
  • A negative lapse rate means temperature rising with height. That is an inversion, and the stratosphere is the largest one in the atmosphere.
  • Isothermal means temperature unchanged with height, which is what the ISA does between 11 km and 20 km.

The Jet Standard Atmosphere

ISA values work well below 30 000 ft but are less satisfactory above it. For space flight, very high altitude flying and engine manufacture, a simplified standard called the Jet Standard Atmosphere is used instead:

  • Mean sea level temperature +15°C, 288.15 K, the same as ISA
  • Lapse rate a flat 2°C per 1000 ft
  • There is no tropopause, so the cooling never stops

That last point is the entire difference worth remembering. JSA keeps cooling for ever, ISA goes isothermal at 36 090 ft.

To determine true altitude and for the assessment of performance data it is necessary to determine the temperature deviation from the ISA at any specified altitude.Oxford ATPL Vol 9, 1.11
To find ISA Deviation: Subtract ISA value from Actual value. i.e. ISA Deviation = (Actual − ISA)IC Joshi, Aviation Meteorology, chapter 1