It is shown how the Runge–Lenz vector A can be used to give the orbit equation and the Rutherford cross section without the necessity of solving differential equations. After that, the Greenberg’s method is applied to obtain the perihelion shift of Mercury using the vector A. Some suggestions are given in the conclusions.
Topics
Vector calculus
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© 1987 American Association of Physics Teachers.
1987
American Association of Physics Teachers
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