Analysis of asymptotic projectile motion with air resistance using the Lambert W function

American Journal of Physics

Volumn 72, Issue 11, 2004, Pages 1404-1407

  Warburton, R D H ^a   Wang, J ^a  

^a University of Massachusetts Dartmouth   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744230858     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1767104     Document Type: Review

References (8)

1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).
2. S. R. Valluri, D. J. Jeffrey, and R. M. Corless, "Some applications of the Lambert W functions to physics," Can. J. Phys. 78, 823-830 (2000).
3. D. Pierce, private communication (2002).
4. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, "On the Lambert W function," Adv. Comput. Math. 5, 329-359 (1996).
5. Maple, Version 8, Waterloo Maple (2002).
6. Mathematica, Version 4.2, Wolfram Research (2003).
7. W. H. Press, B. P. Flannery, A. Teukolsky, and W. T. Vetterling, Numerical Recipes: Art of Scientific Computing (Cambridge U.P., Cambridge, 1986), Chap. 9.1.
8. -1, there are an infinite number of complex roots, one that diverges to ln(-z), while the others converge to zero. The complex roots have no physical significance to the problem discussed here.