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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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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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