Abstract
A wide variety of equal-mass stellar triple systems has been numerically integrated in order to establish factors pertinent to stability. The significant parameters appear to be whether the relative revolution is direct or retrograde, and the ratio of the periastron distance in the outer orbit to the semi-major axis of the inner orbit. For stability, this ratio must be at least 3.5 for direct orbits and at least 2.75 for retrograde orbits.
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Harrington, R.S. Stability criteria for triple stars. Celestial Mechanics 6, 322–327 (1972). https://doi.org/10.1007/BF01231475
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DOI: https://doi.org/10.1007/BF01231475