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I know that the reduced mass, μ, of an object is:

[tex]\mu = \frac{1}{\frac{1}{m_1} + \frac{1}{m_2}}[/tex]

[tex]\mu = \frac{m_1 m_2}{ m_1 + m_2 }[/tex]

But is there a general formula (or a simplified expression) for finding the value of:

[tex]\frac{1}{ \frac{1}{x_1} + \frac{1}{x_2} + ... + \frac{1}{x_n} }[/tex] ?

Thank you.

[tex]\mu = \frac{1}{\frac{1}{m_1} + \frac{1}{m_2}}[/tex]

[tex]\mu = \frac{m_1 m_2}{ m_1 + m_2 }[/tex]

But is there a general formula (or a simplified expression) for finding the value of:

[tex]\frac{1}{ \frac{1}{x_1} + \frac{1}{x_2} + ... + \frac{1}{x_n} }[/tex] ?

Thank you.

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