Analytical principles to construct mathematical models of dynamics
Applied Mathematics, Mechanics and Physics
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
An application of some fundamental principles of mechanics is considered. A connection release principle is applied to restricted dynamical systems with constraints. A comparison is carried out for a variational-form energy principle and a principle of variable action. A sluggishness principle is offered in addition to inertia principle. Some examples are discussed for a mathematical formalization of determinancy principle. An application are demonstrated for a logical predicativity principle by means of models for a variable-mass material point and using a problem of efficient start maneuver for a rocket launch in a potential field.
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