Particle dynamics with variable mass and charge

Howard, James E.

doi:10.1016/j.physleta.2007.02.013

Cited by 5 publications

(2 citation statements)

References 21 publications

(33 reference statements)

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“…The motion of the continuously mass variable systems is much more investigated due to its application in rocket theory [2][3][4], astronomy [5], for charged particle motion in a magnetic field with decreasing mass and charge [6], in robotics [7,8], in machinery [9][10][11], etc. The motion is described with differential equations with variable parameters [12][13][14][15][16][17][18], namely, the effect of expulsion and/or capture of particles on the motion of the continuously mass variable system is evident as changes in the integration variables of the governing dynamic equations.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of body separation—analytical procedure

Cvetićanin

2008

Nonlinear Dyn

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In this paper, an analytical procedure for the determination of the dynamic parameters of a remainder body after mass separation is developed. The method is based on the general principles of momentum and angular momentum of a body and system of bodies. The kinetic energy of motion of the whole body and also of the separated and remainder body is considered. The derivatives of kinetic energies with respect to the generalized velocity determine the velocity and angular velocity of the remainder body. To confirm the proposed procedure, the results are compared with those obtained using the method of momenta and angular momenta. In the paper, the theorem about increase of kinetic energies of the separated and remainder bodies for perfectly plastic separation is proved. The increase of the kinetic energies correspond to the relative velocities and angular velocities of the separated and remainder bodies. As an example, the mass separation from a pendulum is considered. The kinematic properties of the remainder pendulum are obtained using the analytic procedure. The results are in agreement with those obtained by applying the basic principles of Newton's mechanics.

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Section: Introductionmentioning

confidence: 99%

Dynamics of body separation—analytical procedure

Cvetićanin

2008

Nonlinear Dyn

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“…Законы движения точечной частицы, заряд которой изменяется во времени, изучались во многих работах, например в [9][10][11][12][13][14][15][16][17][18]. Известно, что в процессе распространения в плазме волны [15,16,18] заряд пылинки осциллирует во времени c частотой волны .…”

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Поперечное Движение Частицы С Осциллирующим Зарядом И Переменной Массой В Магнитном Поле

Алисултанов¹,

Рагимханов²

2018

Письма В Журнал Технической Физики

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The problem of motion of a particle with an oscillating electric charge and variable mass in an uniform magnetic field has been solved. Three laws of mass variation have been considered: linear growth, oscillations, and stepwise growth. Analytical expressions for the particle velocity at different time dependences of the particle mass are obtained. It is established that simultaneous consideration of changes in the mass and charge leads to a significant change in the particle trajectory.

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On the fractional perturbation theory and optical transitions in bulk semiconductors: Emergence of negative damping and variable charged mass

El-Nabulsi

Anukool

2023

Physica B: Condensed Matter

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Particle dynamics with variable mass and charge

Cited by 5 publications

References 21 publications

Dynamics of body separation—analytical procedure

Dynamics of body separation—analytical procedure

Поперечное Движение Частицы С Осциллирующим Зарядом И Переменной Массой В Магнитном Поле

On the fractional perturbation theory and optical transitions in bulk semiconductors: Emergence of negative damping and variable charged mass

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