Singh Jagadish, Omale Solomon Okpanachi
Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
Engineering and Space Systems Department, National Space Research and Development Agency (NASRDA), Obasanjo Space Centre, Abuja, Nigeria.
Heliyon. 2021 Jun 21;7(6):e07364. doi: 10.1016/j.heliyon.2021.e07364. eCollection 2021 Jun.
A model to investigate the influence of gravitational force and radiation pressure on interstellar dust found within the vicinities of certain stellar systems is presented in this study with the inclusion of potential due to the belt. Semi-analytic approach is adopted to examine the dynamical behaviour of the motion of a test particle in the neighbourhood of the radiating stars, namely, Wolf 630, Formalhaut, Omicron Eradani and 36 Ophiuchi respectively. The Libration points were found dependent on the mass ratios of the systems and the radiation pressure exerted by the star(s) and the motion of the dust particle around them is linearly unstable. In each of the four case studies, two Lyapunov Characteristic Exponents were seen positive which validate the chaotic nature of the system, also the Poincare Surface Section revealed the sensitivity of the dynamical system to change in initial conditions. Several scientific questions of great importance in astrophysics and astronomy; such as the motions of interstellar clouds, proto-nebulae, planetary rings and micrometeorites can be answered by engaging this model.
本研究提出了一个模型，用于研究引力和辐射压力对在某些恒星系统附近发现的星际尘埃的影响，其中考虑了尘埃带产生的势能。采用半解析方法研究了测试粒子在辐射恒星（分别为沃尔夫630、北落师门、波江座ο和蛇夫座36）附近的运动动力学行为。发现平动点取决于系统的质量比以及恒星施加的辐射压力，并且尘埃粒子围绕它们的运动是线性不稳定的。在四个案例研究中的每一个中，都观察到两个李雅普诺夫特征指数为正，这证实了系统的混沌性质，庞加莱截面也揭示了动力学系统对初始条件变化的敏感性。天体物理学和天文学中几个非常重要的科学问题，例如星际云、原星云、行星环和微流星体的运动，都可以通过使用这个模型来回答。
