Some nonlinear second order equation modelling rocket motion
Dorota Bors, Robert Sta\'nczy
TL;DR
This paper analyzes a nonlinear second order differential equation modeling rocket motion under gravity and drag, using topological fixed point methods to establish key results.
Contribution
It introduces a novel application of topological fixed point techniques to analyze rocket motion equations with nonlinear drag effects.
Findings
Existence of solutions established
Conditions for solution stability identified
Mathematical framework applicable to similar models
Abstract
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force. The proofs of the main results are based on topological fixed point approach.
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Taxonomy
TopicsComputational Fluid Dynamics and Aerodynamics · Numerical methods in inverse problems · Numerical methods for differential equations