Jacobi coordinates for three particles

For three particles, choose the relative position of particles one and two, the position of their center of mass relative to particle three, and the total center of mass. The kinetic energy diagonalizes with masses

\frac{m _{1} m _{2}}{m _{1} + m _{2}}, \frac{( m _{1} + m _{2} ) m _{3}}{m _{1} + m _{2} + m _{3}}, m_{1} + m_{2} + m_{3} .

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Table of contents 69 1
- Angular momentum decomposition in three-body Jacobi coordinates Jacobi coordinates for three particles 29

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Center-of-mass reduction
Center-of-mass motion
Center of mass
Classical mechanics
Branch of physics
Physics
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