New path equations maintaining constant normal accelerations with arbitrary tangential decelerations for a moving object is derived. The case of tangential deceleration proportional to the square of velocity is treated in detail. It is assumed that in this special case, the vehicle is under the influence of drag force only. The equation is cast into a dimensionless form first. Numerical solution of the resulting nonlinear third order differential equation is contrasted with the perturbation solution. When the perturbation parameter is small, the match is excellent. The derived paths may found applications in the motion of land, marine and aerial vehicles.


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    Title :

    Nonlinear mathematical models for paths maintaining constant normal accelerations


    Contributors:

    Conference:

    ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France


    Published in:

    Publication date :

    2017-01-27


    Size :

    5 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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