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## Derivation of Reduced Mass Lecture

Central Forces Notes Section 4

- Derivation of the center of mass equation for the motion for two particles.
- Derivation of the reduced mass and the equation of motion for the reduced mass

$${{m_1 m_2}\over {m_1+m_2}} {d{^2}\over{d{t^2}}} (\Vec{r_1}-\Vec{r_2}) = \Vec{f_{12}}$$