Differential Equations for Conic Section

Authors: Viktor Strohm

Theoretical mechanics shows that the motion along a curve is possible only when a body has an acceleration. It follows from the second Neeton’s law that a force has to be applied to a body so as to make it accelirate. All forces applied to the body can be summed up and replaced by one summarized force. “To solve the mass point motion problem we need differential equations for the motion. The way we derive these equations doesn’t matter”: [1,§11,п.3]. In this paper the equation for conic section is derived by the investigation of movement of a body along an elipse under the influance of a summarized force.

Comments: 5 Pages.

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Submission history

[v1] 2019-09-14 03:48:54

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