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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 Mimimise the number of independent parameters in the modified equation of motion with dissipation by introducing dimensionless varibles and r for x and t.

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 Mimimise the number of independent parameters in the modified equation of motion with dissipation by introducing dimensionless varibles and r for x and t.

Advanced Engineering Mathematics
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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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 Mimimise the number of independent parameters in the modified equation of motion with dissipation by introducing dimensionless varibles and r for x and t.
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 Mimimise the number of independent parameters in the modified equation of motion with dissipation by introducing dimensionless varibles and r for x and t.
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