Abstract
In view of the recent work by Karkantzakos [Journal of Engineering Science and Technology Review 2 (2009) 76-81], a number of remarks highlighting the connection between the Lambert W function and the time of flight and range of a projectile moving in a resisting medium where the retarding force acting on the projectile is proportional to its velocity are made. In particular, we show how each of these quantities can be expressed in closed form in terms of the Lambert W function and indicate how the analysis of the motion becomes greatly simplified by its introduction.
| Original language | English |
|---|---|
| Pages (from-to) | 32-34 |
| Number of pages | 3 |
| Journal | Journal of Engineering Science and Technology Review |
| Volume | 4 |
| Issue number | 1 |
| Publication status | Published - 2011 |
| Externally published | Yes |
Fingerprint
Keywords
- Lambert W function
- Linear resisted projectile motion
- Range
- Time of flight
ASJC Scopus subject areas
- Engineering(all)
Cite this
Some remarks on the time of flight and range of a projectile in a linear resisting medium. / Stewart, S. M.
In: Journal of Engineering Science and Technology Review, Vol. 4, No. 1, 2011, p. 32-34.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Some remarks on the time of flight and range of a projectile in a linear resisting medium
AU - Stewart, S. M.
PY - 2011
Y1 - 2011
N2 - In view of the recent work by Karkantzakos [Journal of Engineering Science and Technology Review 2 (2009) 76-81], a number of remarks highlighting the connection between the Lambert W function and the time of flight and range of a projectile moving in a resisting medium where the retarding force acting on the projectile is proportional to its velocity are made. In particular, we show how each of these quantities can be expressed in closed form in terms of the Lambert W function and indicate how the analysis of the motion becomes greatly simplified by its introduction.
AB - In view of the recent work by Karkantzakos [Journal of Engineering Science and Technology Review 2 (2009) 76-81], a number of remarks highlighting the connection between the Lambert W function and the time of flight and range of a projectile moving in a resisting medium where the retarding force acting on the projectile is proportional to its velocity are made. In particular, we show how each of these quantities can be expressed in closed form in terms of the Lambert W function and indicate how the analysis of the motion becomes greatly simplified by its introduction.
KW - Lambert W function
KW - Linear resisted projectile motion
KW - Range
KW - Time of flight
UR - http://www.scopus.com/inward/record.url?scp=84855396329&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84855396329&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84855396329
VL - 4
SP - 32
EP - 34
JO - Journal of Engineering Science and Technology Review
JF - Journal of Engineering Science and Technology Review
SN - 1791-9320
IS - 1
ER -