Write down the equation of motion for the point particle of mass m moving in the Kepler potential U(x)=-A/x+ B/x² where x is the particle displacement in m.
Write down the equation of motion for the point particle of mass m moving in the Kepler potential U(x)=-A/x+ B/x² where x is the particle displacement in m.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Write down the equation of motion for the point particle of mass m moving in
the Kepler potential U(x) = -A/x+ B/x² where x is the particle displacement in m.
Use the top as reference
Present the equation derived in the form of an energy balance equation and
find the expressions for the effective kinetic and potential energies (T and V), and dissipative
function F.
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