Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium

Zarema Seidametova, Valerii Temnenko

Abstract

Computer geometric modeling is important pre-processing steps in the object's mathematical representation using curves that may be constructed using analytic functions, a set of points, or other curves and surfaces. The paper describes some remarkable curves related to a family of the ballistic trajectories in a viscous medium with a linear resistance. The envelope of the family of trajectories, the trajectory of the farthest flight and the curve of maximum flight altitudes are presented in parametric form. A geometric interpretation of the entire set of ballistic trajectories in the form of some surface (the Galileo's dome) is also presented.

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Paper Citation


in Harvard Style

Seidametova Z. and Temnenko V. (2020). Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium. In Proceedings of the 1st Symposium on Advances in Educational Technology - Volume 2: AET, ISBN 978-989-758-558-6, pages 578-583. DOI: 10.5220/0011009600003364


in Bibtex Style

@conference{aet20,
author={Zarema Seidametova and Valerii Temnenko},
title={Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium},
booktitle={Proceedings of the 1st Symposium on Advances in Educational Technology - Volume 2: AET,},
year={2020},
pages={578-583},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011009600003364},
isbn={978-989-758-558-6},
}


in EndNote Style

TY - CONF

JO - Proceedings of the 1st Symposium on Advances in Educational Technology - Volume 2: AET,
TI - Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium
SN - 978-989-758-558-6
AU - Seidametova Z.
AU - Temnenko V.
PY - 2020
SP - 578
EP - 583
DO - 10.5220/0011009600003364