... study

The results presented here were derived during the 3rd Helmholtz Summerschool at the Helmholtz Institute for Supercomputational Physics in Potsdam: "Chaos and Stability in Planetary Systems'' from September 1st to September 26th 2003.

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... (=HZ)

The region where a planet fulfills all the requirements of being able to develop life and where liquid water can be present on the surface of the planet.

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... processors

The PEYOTE cluster at the Max Planck Institute for Gravitational Physics (Albert Einstein Institute): www.aei-potsdam.mpg.de/facilities/public/computers.html

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... uncertainties

In most cases they can only be determined from the shape of the periodic stellar velocity curve, while $M \sin{i}$ and the semimajor axis come from the zeroth order characteristics, the amplitude and period of this curve respectively.

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... function

The norm used in Eq. (A.1) is in principle arbitrary. For theoretical reasons, it is preferable to use the maximum norm.

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...össler

Rössler (1976) defined an autonomous three-dimensional system of differential equations for a chemical system which is related to the Lorentz system. It shows all typical properties of a chaotic system: strange attractors, period doubling, etc.

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... 

Fractions of longer lines are also counted: e.g. a line of length 5 counts as 5 lines of length 1, 4 lines of length 2, and so on.

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