Title | The group-theoretic analysis for d'Alembert's solutions of the basic equation of exterior ballistics |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | Lehenkyi, VI |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2015.02.014 |
Issue | 2 |
Section | Mathematics |
Pagination | 14-18 |
Date Published | 2/2015 |
Language | Ukrainian |
Abstract | We consider the basic equation of exterior ballistics and prove that all specializations of the drug function presented by d'Alembert in 1744 transform this equation to some Lie–Sheffers equation. Due to this hidden property, it can be converted to the classical Bernoulli or Riccati equations. |
Keywords | ballistics, Bernoulli equation, Riccati equation |
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