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two-body_problem [2015/08/19 19:50] nikolaj |
two-body_problem [2015/08/19 19:50] nikolaj |
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==== Set ==== | ==== Set ==== | ||
| @#FFBB00: definiendum | @#FFBB00: $\langle \mathbb R^{2\times 3}, H\rangle \in \mathrm{it} $ ... Classical Hamiltonian system | | | @#FFBB00: definiendum | @#FFBB00: $\langle \mathbb R^{2\times 3}, H\rangle \in \mathrm{it} $ ... Classical Hamiltonian system | | ||
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| @#55EE55: postulate | @#55EE55: $ H({\bf r}_1,{\bf r}_2,{\bf p}_1,{\bf p}_2) = \frac{1}{m_1}\frac{1}{2}{\bf p}_1^2 + \frac{1}{m_2}\frac{1}{2}{\bf p}_2^2 + V(|{\bf r}_1-{\bf r}_2|) $ | | | @#55EE55: postulate | @#55EE55: $ H({\bf r}_1,{\bf r}_2,{\bf p}_1,{\bf p}_2) = \frac{1}{m_1}\frac{1}{2}{\bf p}_1^2 + \frac{1}{m_2}\frac{1}{2}{\bf p}_2^2 + V(|{\bf r}_1-{\bf r}_2|) $ | | ||