JOURNAL ARTICLE

Nonlinear curve equations maintaining constant normal accelerations with drag induced tangential decelerations.

  • Published In: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2023, v. 78, n. 2. P. 125 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Pakdemirli, Mehmet; Yıldız, Volkan 3 of 3

Abstract

A nonlinear curve equation is derived for a vehicle exposed to drag force only. At each point on the curve, the vehicle maintains constant normal acceleration component. The resulting curve equation is a highly nonlinear third order ordinary differential equation. By defining dimensionless coordinates, the equation is cast into a non-dimensional form and a special path parameter is defined. Two different perturbation type solutions as well as a series solution are constructed as approximations to the curves. The three approximate solutions are contrasted with the numerical solution of the problem. The validity range of the approximate solutions is discussed. The curves may be used in determining the routes of land, marine and aerial vehicles. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences. 2023/02, Vol. 78, Issue 2, p125
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:0932-0784
  • DOI:10.1515/zna-2022-0253
  • Accession Number:161627275
  • Copyright Statement:Copyright of Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences is the property of De Gruyter and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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