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Calculators and Calculations
Home›Calculators and Calculations›How to calculate pivotal altitude

How to calculate pivotal altitude

By Matthew Lynch
October 12, 2023
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Pivotal altitude is an essential concept for pilots to understand, especially when performing ground-reference maneuvers such as eights-on-pylons. It is the altitude at which an object on the ground appears to be stationary while banking the aircraft around it. This article will provide a step-by-step guide on how you can calculate the pivotal altitude for optimal maneuvering.

Step 1: Determine Ground Speed

Before calculating pivotal altitude, you must first determine your ground speed. Ground speed can be calculated using various methods, such as checking your GPS or timing your progress between two known points on the ground. Knowing your ground speed is crucial because it directly affects the pivotal altitude.

Step 2: Squaring Your Ground Speed

Once you have determined your ground speed, you need to square that value. Since ground speed is usually given in knots, you’ll need to multiply it by itself (ground speed x ground speed) to obtain its square.

Step 3: Apply the Conversion Factor

To account for the change in units and to bring it into an understandable format for pilots (in feet), you have to apply a conversion factor. The conversion factor typically used in aviation is 11.3 (may vary slightly due to air temperature and other conditions). To apply this conversion factor, simply multiply the squared ground speed obtained in step 2 by 11.3.

Step 4: Obtain Pivotal Altitude

The result from step 3 will give you the pivotal altitude in feet above ground level (AGL). This value informs pilots at which height they can efficiently maintain their ground track while performing maneuvers like eights-on-pylons around a fixed point on the ground.

Example Calculation:

Let’s put these steps into practice. Suppose our aircraft’s current ground speed is 100 knots:

1) Square your ground speed:

Ground speed squared: 100 x 100 = 10,000

2) Apply the conversion factor:

Pivotal altitude: 10,000 x 11.3 = 113,000

The pivotal altitude is 1,130 feet above ground level (AGL) for our example. Therefore, performing a maneuver at this height will ensure the object on the ground appears stationary while banking the aircraft around it.

Conclusion

Calculating pivotal altitude is essential for owning the sky as an adept pilot. With a solid understanding of this concept and following the simple calculation steps outlined above, you’ll be well-prepared to take flight and perform ground-reference maneuvers with ease. Remember always to consider fluctuations in ground speed and environmental conditions, so your calculated pivotal altitude remains accurate during flight.

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