TBR Locator
Input data:
M:		M is required.
	Mass of the star in solar masses.
m0:		m0 is required.
	Mass of test planet in solar masses.
m1:		m1 is required.
	Mass of planet 1 in solar masses.
m2:		m2 is required.
	Mass of planet 2 in solar masses.
a1:		a1 is required.
	Semimajor axis of planet 1 in au.
a2:		a2 is required.
	Semimajor axis of planet 2 in au.
		Help

Input integer constants:
	At least one must be negative.
k0:		k0 is required.
k1:		k1 is required.
k2:		k2 is required.
	Clear

Clear All Calculate a0

Result:

Three Body Resonance locator This is an application that calculates the semimajor axis a0 in astronomical units of a planet P0 of mass m0 (in solar masses) which is in a TBR with two planets P1 and P2 with masses m1 and m2 in solar masses and semimajor axes a1 and a2 in astronomical units. The system is orbiting around a star with mass M (in solar masses). The resonance is given by 3 integers k0, k1 and k2 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 n0<0 do not have physical meaning).

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