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  2. Top of descent - Wikipedia

    en.wikipedia.org/wiki/Top_of_descent

    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 current altitude are known. This ...

  3. Rule of three (aeronautics) - Wikipedia

    en.wikipedia.org/wiki/Rule_of_three_(aeronautics)

    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. This would have to be adjusted for headwind or tailwind, [1] and ...

  4. Tautochrone curve - Wikipedia

    en.wikipedia.org/wiki/Tautochrone_curve

    This is called Abel's integral equation and allows us to compute the total time required for a particle to fall along a given curve (for which / would be easy to calculate). But Abel's mechanical problem requires the converse – given T ( y 0 ) {\displaystyle T(y_{0})\,} , we wish to find f ( y ) = d ℓ / d y {\displaystyle f(y)={d\ell }/{dy ...

  5. Continuous descent approach - Wikipedia

    en.wikipedia.org/wiki/Continuous_descent_approach

    Schematic descent profile of a conventional approach (red) and a continuous descent approach (green). Continuous descent approach (CDA), also known as optimized profile descent (OPD), is a method by which aircraft approach airports prior to landing. It is designed to reduce fuel consumption and noise compared to other conventional descents.

  6. Top of climb - Wikipedia

    en.wikipedia.org/wiki/Top_of_climb

    The top of climb may be calculated manually with considerable effort. [ 1 ] Alternatively, when manual planning and monitoring a VFR flight, TOC is an elegant and efficient way for a pilot to eliminate all the vaguery and variability of departing any airport (the turns assigned, changes of runway the pilot cannot control).

  7. Naismith's rule - Wikipedia

    en.wikipedia.org/wiki/Naismith's_rule

    So, for example, if a route is 20 kilometres (12 mi) with 1600 metres of climb (as is the case on leg 1 of the Bob Graham Round, Keswick to Threlkeld), the equivalent flat distance of this route is 20+(1.6×8)=32.8 kilometres (20.4 mi). Assuming an individual can maintain a speed on the flat of 5 km/h, the route will take 6 hours and 34 minutes.

  8. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    Based on wind resistance, for example, the terminal velocity of a skydiver in a belly-to-earth (i.e., face down) free-fall position is about 195 km/h (122 mph or 54 m/s). [3] This velocity is the asymptotic limiting value of the acceleration process, because the effective forces on the body balance each other more and more closely as the ...

  9. Adjoint state method - Wikipedia

    en.wikipedia.org/wiki/Adjoint_state_method

    The adjoint state method is a numerical method for efficiently computing the gradient of a function or operator in a numerical optimization problem. [1] It has applications in geophysics, seismic imaging, photonics and more recently in neural networks. [2] The adjoint state space is chosen to simplify the physical interpretation of equation ...

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