Symon4-16

16\np_{i} = p_{i1} + p_{i2}\np_{i1} = p_{i1} + p_{i1}cosθ_{1} + p_{i2}cosθ_{2} = p_{i1}cosθ_{1} = p_{i1} - p_{i1}cosθ_{2} \nO = p_{i1} + Nsinθ_{1} = p_{i1}sinθ_{1} + p_{i2}sinθ_{2} = p_{i1}sinθ_{2}\nEntão (1) ou equivalente à mesma (2)\np_{i}^{+} = \frac{2 p_{i1} p_{i2}cosθ_{1} + p_{i2}^{2}}{m_{1}}\n |\n |m_{1} = \frac{p_{i}^{2}}{m_{1}} - \frac{p_{i2}^{2}}{m_{2}}\n -m_{1}p_{i}^{+} \frac{(1 - \frac{m_{1}}{m_{2}})} = 2p_{i} p_{i1}cosθ_{1} = \frac{1 + m_{1}}{m_{1}} = \frac{7 p_{i}cosθ_{2}}\n \n \\ \n\nfrac{m_{2}}{m_{1}} = 2p_{1}cosθ_{2} - 1\n