Aircraft compass turns
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A magnetic compass aboard an aircraft displays the current magnetic heading of the aircraft, i.e., the aircraft's direction of travel relative to the Earth's geomagnetic field, which has a roughly north-south orientation. The compass can be used in turns to verify the aircraft is travelling in the desired direction at the conclusion of a turn. The nature of the instrument and the alignment of the magnetic pole of the earth cause the magnetic compass to have several significant limitations when used for navigation. A pilot aware of those limitations can use the compass effectively for navigation. The compass continues to operate despite failures in the electrical, vacuum or pitot static systems.
Compass turns (turns using the compass as the primary reference instrument) are not standard practice in modern aircraft. Compass turns are typically performed in simulated or actual failures of the directional gyro or other navigational instruments. A magnetic compass is a simple instrument when the compass is not moving and is on the earth. A magnetic compass installed in an aircraft is subject to compass turning errors during flight. Pilots must compensate for such errors when using the magnetic compass.
Most of the errors inherent in the heading indications of a magnetic compass are related to the compass' construction. An aircraft compass consists of an inverted bowl with a magnetized bar attached. The bowl is balanced on a low friction pin. The bowl and pin assembly is enclosed in a case filled with non-acidic kerosene. The magnetized bar tends to orient the assembly with the local geomagnetic field. The bar turns the visible bowl of the compass. The outside surface of the bowl includes markings to indicate a magnetic heading. As the aircraft (and the compass housing) turns, the bowl remains somewhat stationary with respect to the earth due to the magnetic attraction. In summary, the aircraft is free to turn around the stationary bowl.
The standard practice when flying with a gyro-stabilized compass (or heading indicator) is to read the magnetic compass only while in straight and level unaccelerated flight. This reading is then used to set the gyro-stabilized compass. The gyro compass will read correctly in a turn, whereas the magnetic compass can't be read properly while turning. Thus the pilot will always ignore the magnetic compass while turning, but periodically check it in straight and level unaccelerated flight.
Several types of error will affect the heading indication provided by a magnetic compass if the aircraft is not in steady straight and level unaccelerated flight.
A limitation imposed by a compass' construction is that the balancing bowl's pin, which is connected to a pivot point, only allows, in most compasses, the bowl to tilt by approximately 18 degrees before it will touch the side of the casing. When this happens its freedom to rotate is lost and the compass becomes unreliable.
A second limitation is magnetic dip. The compass dial will tend to align itself with the geomagnetic field and dip toward the northern magnetic pole when in the northern hemisphere, or toward the southern magnetic pole when in the southern hemisphere. At the equator this error is negligible. As an aircraft flies closer to either pole the dipping error becomes more prevalent to the point that the compass can become unreliable because its pivot point has surpassed its 18 degrees of tilt. Magnetic dip is caused by the downward pull of the magnetic poles and is greatest near the poles themselves. To help negate the effect of this downwards force, the center of gravity of the compass bowl hangs below the pivot.  Compass navigation near the polar regions, however, is nearly impossible due to the errors caused by this effect.
When in steady straight and level flight the effect of magnetic dip is of no concern. However when the aircraft is accelerated or turned to a new heading the following two rules apply:
First, when on an easterly or westerly heading and the aircraft accelerates, the center of gravity of the bowl lags behind the pivot, making it tilt forwards.  Because of magnetic dip the compass will show a false turn towards the north if in the northern hemisphere or vice versa a false turn towards the south if in the southern hemisphere. Also if the aircraft is decelerated the compass will show a false turn towards the south in the northern hemisphere and false turn towards the north in the southern hemisphere. The error is neutralized when the aircraft has reached its velocity and the magnetic compass will then read the proper heading. Pilots in the northern hemisphere remember this by the acronym ANDS; accelerate north, decelerate south. The opposite occurs when flying in the southern hemisphere. This error is eliminated while accelerating or decelerating on heading of exactly North or exactly South.
Second, when on a northerly heading and a turn towards the east or west is made, the magnet causes the compass to lag behind the actual heading the aircraft is flying through. This lag will slowly diminish as the aircraft approaches either east or west and will be approximately correct when on an east or west heading. When the aircraft turns further towards South, the magnetic compass needle will tend to lead the actual heading of the aircraft. When a turn is made from south to an east or west heading the compass will lead the actual heading the aircraft is flying through, it will diminish as the aircraft approaches either east or west, and it will lag as the aircraft turns further towards North. This happens in a coordinated turn because of the bank of the aircraft and resulting bank of the compass. The North-seeking pole of the magnet is pulled towards the earth's magnetic field in the turn. This results in an angular displacement of the compass. The magnitude of the lead/lag will be approximately equal to the aircraft's latitude. (An aircraft at 30° north latitude will need to undershoot 30° while turning directly north, and overshoot 30° while turning directly south) The pilots community uses acronym UNOS (undershoot North overshoot South) to memorize this rule. Some other acronyms which pilots find easier to remember is NOSE (North Opposite, South Exceeds), OSUN (Overshoot South, Undershoot North), and South Leads, North Lags [opposite in the southern hemisphere] This guideline is based not on a standard-rate turn, but on a bank angle of 15°-18°, which would equal a standard rate turn at the airspeeds typical of light aircraft.
Standard-rate compass turns
All turns during flights under instrument rules shall be made at standard turn rate, but no more than 30 degrees of bank. In case of vacuum-driven instruments failure (i.e. directional gyro, attitude indicator) the rollout to new heading is timed: let's say the aircraft is flying 060 degrees heading and it needs to fly new heading 360. The turn will be 60 degrees. Since the standard rate turn is 360 degrees in 120 seconds, the plane will need 20-second standard rate turn to the left.
In case of electrical instrument failure, which include turn coordinator or turn-slip indicator, the following formula will help to determine turn bank at which the turn will be made at standard rate: In order to calculate bank angle for a standard rate turn knowledge of air speed must be known. The rule of thumb using air speed requires that the last digit of the air speed be dropped then add five. For example if the air speed is 90 knots drop the zero and add five. The bank angle in this example would be (9+5=14) 14 degrees. Or if the air speed is 122 knots drop the two and add five. The bank angle in this example would be (12+5=17) 17 degrees. The line of latitude is the maximum lead or lag a compass will have.
The following explanations are for the northern hemisphere.
For example an aircraft flying at 45°N latitude making a turn to north from east or west maintaining a standard rate turn a pilot would need to roll out of the turn when the compass was 45 degrees plus one half of the bank angle before north. (From east to north at 90 knots 0+45+7=52) A pilot would begin to roll out to straight flight and on a heading of north when 52 degrees was read from the compass. (From west to north at 90 knots (360-45-7=308). A pilot would begin to roll the aircraft out of the bank at 308 degrees read from the compass to fly on a north heading. Making a turn towards south from west the pilot would have to roll the aircraft out of the turn when the compass was 45 degrees minus half the bank angle (from west to south at 90 knots 180-45+7=142, from east to south 180+45-7=218).
From the examples we see that when turning to north from east or west the bank angle used to calculate the time to roll the plane out of the turn must begin at the greatest amount of degrees or further away from north. Conversely for turns to south from east or west the bank angle is calculated to decrease the number of degrees to lead the roll out or closer to south.
Generally pilots will practice making these turns using half standard rate turns. This will decrease the bank angle so that it is half of the calculated bank angle. When turns are made at half standard rate the line of latitude will only cause the compass to have an error of half as much. So our new calculation using a half standard rate turn is as follows: (From east to north at 90 knots 0+22.5+3.5=26) the lead roll out heading read from the compass would be 26 degrees to fly on a north heading. (From west to north 360-22.5-3.5=334) The lead roll out heading read off the compass would be 334 degrees.
Turns made for other directions should be interpolated. For example a left turn made from a heading of west to south east (SE). The compass would initially show a heading that is correct as the turn gets closer to south the compass would indicate a lead heading of the greatest error, as the aircraft passes through south the error would decrease and show less of a lead. As the aircraft approaches south east the error would only lead half as much as it did when the aircraft was rolling through south. So if the turn was made using a half standard rate at 90 knots and the SE heading required to fly was 135 degrees the roll out heading would be 135-11.25+3.5=127 degrees. Hence a roll out heading read from the compass of 127 degrees would be used to actually fly the heading of 135 degrees.
- The 2008 FAA Instrument Flying Handbook mentioned a dip compensation weight. The 2012 edition talks instead about the pendulous mounting arrangement.
- Gleim, Irvin N. (January 1, 2001). Private Pilot FAA Written Exam. Gleim Publishing. p. 440. ISBN 1-56027-618-5.
- Federal Aviation Administration (2008), Instrument Flying Handbook, Washington, DC, pp. 3–11 to 3–14, archived from the original on 2010-11-02, retrieved 2012-12-03
- Federal Aviation Administration (2012), Instrument Flying Handbook, Washington, DC, pp. 5–10 to 5–14, retrieved 2012-12-02
- Federal Aviation Administration (September 28, 2004). Pilot's Handbook of Aeronautical Knowledge: FAA-H-8083-25 December 2003. Aviation Supplies & Academics, Inc. p. 352. ISBN 1-56027-540-5.
- Kershner, William K. (November 1, 2000). The Student Pilot's Flight Manual. Aviation Supplies & Academics, Inc. p. 440. ISBN 1-58194-128-5.
- Kershner, William K. (January 1, 2002). The Instrument Flight Manual: The Instrument Rating and Beyond. Aviation Supplies & Academics, Inc. p. 320. ISBN 1-56027-619-3.
- Machado, Rod (March 1996). Private Pilot Handbook: The Ultimate Private Pilot Book. Aviation Speakers Bureau. p. 572. ISBN 0-9631229-9-1.