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In aviation, the rule of three or "3:1 rule of descent" is a rule of thumb that 3 nautical miles (5.6 km) of travel should be allowed for every 1,000 feet (300 m) of descent. [ 1 ] [ 2 ] For example, a descent from flight level 350 would require approximately 35x3=105 nautical miles.
A performance-based VNAV system computes a descent path from the top of the descent to the first constrained waypoint using idle or near idle power. This is referred to as an idle descent path at ECON (most economic, or most fuel-efficient) speed. This is very fuel efficient and therefore saves money and is great for budget-constrained airlines.
The curve of fastest descent is not a straight or polygonal line (blue) but a cycloid (red).. In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), [1] or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides ...
This becomes very useful for estimating or correcting vertical speed settings and flight path angles (FPA) during climb, descent, or approaches. If a gradient in % is required, the numbers work out with the same rule: 1% over 1 NM ≈ 60'
Emission patterns of the localizer and glide slope signals Glide slope station for runway 09R at Hannover Airport in Germany. In aviation, instrument landing system glide path, commonly referred to as a glide path (G/P) or glide slope (G/S), is "a system of vertical guidance embodied in the instrument landing system which indicates the vertical deviation of the aircraft from its optimum path ...
In mathematics, the method of steepest descent or saddle-point method is an extension of Laplace's method for approximating an integral, where one deforms a contour integral in the complex plane to pass near a stationary point (saddle point), in roughly the direction of steepest descent or stationary phase. The saddle-point approximation is ...
Flight path angle γ: is the angle between horizontal and the velocity vector, which describes whether the aircraft is climbing or descending. Bank angle μ: represents a rotation of the lift force around the velocity vector, which may indicate whether the airplane is turning .
The top of descent is usually calculated by an on-board flight management system, and is designed to provide the most economical descent to approach altitude, or to meet some other objective (fastest descent, greatest range, etc.). The top of descent may be calculated manually as long as distance, air speed, and