Open AccessThe effect of climber initial velocity on orbital space elevator dynamics
Author(s) -
Vladimir S. Aslanov,
Т. А. Ледкова
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1368/4/042034
Subject(s) - elevator , orbit (dynamics) , kinematics , payload (computing) , orbital mechanics , motion (physics) , work (physics) , physics , classical mechanics , equations of motion , dynamics (music) , mathematical model , orbital speed , space (punctuation) , angular velocity , mechanics , expression (computer science) , aerospace engineering , computer science , engineering , satellite , computer network , quantum mechanics , network packet , astrophysics , thermodynamics , programming language , operating system , acoustics
This research is devoted to the problem of delivering a small payload to the Earth from the orbit using an orbital space elevator, which consists of two space stations connected by a massless tether and a passive climber moving along the tether. The aim of the work is to study the possibility of transferring the climber from one end of the orbital elevator to the other end due to its initial velocity. The mathematical model of the mechanical system is constructed using the Lagrange equation of the second kind. An analytical expression, which depends on the parameters of the mechanical system and determines the required initial velocity, was found using a simplified mathematical model that does not take into account the bending of the tether. The validity of the expression was verified using the mathematical model. The analysis of the system motion was carried out, and recommendations on its mass-geometric parameters choice were given.