تناولنا في هذا البحث حركة الجسيمات المشحونة في الحقول الخارجية و اشعاع جملة مؤلفة من شحنتين متبادلتي التأثير. حيث تبين لنا أن حركة كل جسيم مشحون، أو بدقة حركة الجسيمات المشحونة المتحركة في مسارات، لها أشكال قطوع مخروطية، و تقع محارقها في مركز العطالة، و هذا ماهو متوافق مع مسألة كبلر في تعيين حركة الكواكب.
كما تبين لنا من خلال النتائج التي تم الحصول عليها أن الجملة المؤلفة من جسيمين متماثلين، أو من جسيمات مختلفة، و لها نفس النسبة ، لايمكن أن تشع في تقريب ثنائي القطب، و أن الشحنة المتحركة في مسار مغلق تشع طاقة بشكل مستمر.
و قد تم حساب المقطع العرضي التفاضلي لتشتت الجسيمات وفقاً لقانون كولوم، و تم أخيراً حساب قيمة الاشعاع الناتج عن سقوط حزمة من الجسيمات المشحونة على شحنة ساكنة (اشعاع الكبح)، حيث وُجد أن الطاقة المشعة تتناسب عكساً مع سرعة الجسيم و كذلك عكساً مع مكعب مدى تصويب الاشعاع، كما ترتبط مع زاوية التشتت و الزاوية السمتية.
In this paper, we discussed the motion of charged particles in the external fields and the
radiation of a system of two action reciprocal charges. Where we find that the motion of
each charged particle, or precisely the motion of the moving charged particles in orbits has
conical forms, and their foci are located in the center of inertia, and this is compatible with
Kepler's problem in determining the motion of the planets.
As we have shown, the results obtained are that a system consisting of two identical
particles, or of different particles, with the same ratio (e / m) , can not radiate in a dipole
approximation, and that the moving charge in a closed orbit continuously radiates energy.
The differential cross section of particles scattering was calculated according to the
Coulomb law, and the radiation value resulting from the incident of a beam of charged
particles was finally calculated on a static charge (the braking radiation), where the
radiation energy was found to be inversely proportional to the particle velocity as well as
the cube with the radius of the radiation correction, and it is associated with the angle of
scattering and the azimuth angle.
References used
M.A. Jafari and A. Aminataei, Method of Successive Approximations for Solving the Multi-Pantograph Delay Equations, Gen. Math. Notes, Vol. 8, No. 1, January 2012, pp.23-28
M.M. Hosseini, Taylor-successive approximation method for solving nonlinear integral equations, Journal of Advanced Research in Scientific Computing, Vol. 1,Issue. 2, 2009, pp. 1-13
I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, 7th edn, 2007
In this paper, I study the motion of the double pendulum . I write
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