




Three Body Resonance locator
This is an application that calculates the semimajor axis a_{0} in astronomical units of a planet P_{0} of mass m_{0} (in solar masses) which is in a TBR with two planets P_{1} and P_{2} with masses m_{1} and m_{2} in solar masses and semimajor axes a_{1} and a_{2} in astronomical units. The system is orbiting around a star with mass M (in solar masses). The resonance is given by 3 integers k_{0}, k_{1} and k_{2} that define the resonance
k0*n0 + k1*n1 + k2*n2 = 0
where the n are the mean motions. Obviously, the integers must have different sign otherwise the relationship can not be satisfied. Also, not all possible combinations of the k are allowed (those that give n_{0}<0 do not have physical meaning).

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