Open AccessBehavior of Small Variable Mass Particle in Electromagnetic Copenhagen Problem
Author(s) -
Abdullah A. Ansari
Publication year - 2020
Publication title -
maǧallaẗ ǧāmiʿaẗ al-sulṭān qābūs li-l-ʿulūm/sultan qaboos university journal for science
Language(s) - English
Resource type - Journals
eISSN - 2414-536X
pISSN - 2308-3921
DOI - 10.24200/squjs.vol25iss1pp61-77
Subject(s) - test particle , center of mass (relativistic) , motion (physics) , physics , variable (mathematics) , particle (ecology) , classical mechanics , plane (geometry) , equations of motion , inclined plane , stability (learning theory) , mechanics , mathematical analysis , mathematics , geometry , geology , computer science , quantum mechanics , oceanography , energy–momentum relation , machine learning
The paper presents the behavior of the motion properties of the variable mass test particle (third body), moving under the influence of the two equal primaries having electromagnetic dipoles. These primaries move on the same circular path around their common center of mass in the same plane. We have determined the equations of motion of the test particle whose mass varies according to Jean's law. Using the system of equations of motion we have evaluated the locations of equilibrium points, their movements and basins of the attracting domain. Finally, we examine the stability of these equilibrium points, all of which are unstable.