Optimisation Problem of Entry into Earth's Atmosphere

Defence Science Journal

S. K. Gurtu¹ 

[1] Institute for Systems Studies & Analyses, Delhi

关键词: Marinescu';    s model;    Nonlinear differential equation;    Euler Lagrange equation;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Defence Scientific Information & Documentation Centre

【 摘 要 】

A study has been carried out on thevariation of velocity, time, re-entry angle and distance along thehorizontal with altitude for a re-entry vehicle diving into the earth'satmosphere, using the improved version of Marinescu's model thataccounts for gravity and assuming that the distance along the earth'ssurface is fixed. More specifically, after formulating the problem as anisoperimetric one, its Euler-Lagrange equation, which turned out to be ahighly nonlinear differential equation of the second order, has beensolved via Runge-Kutta method and Simpson's rule for some physicallyrealisable values of the parameters involved.

【 授权许可】

Unknown