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

Zarema Seidametova, Valerii Temnenko

2020

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.

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