Relativistic free fall on a center.

1. Preliminaries : a constant force, F, acting on the particle.

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The velocity tends to the limit, c :

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2. The (unrealistic) newtonian free fall.

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3. The relativistic free fall.

The center is fixed. The point is initially at rest a a distance r[0]=1 (M=10, climit_15.gif=1, G=c=1, arbitrary units).

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Position versus time :

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Velocity versus time :

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Spikey Created with Wolfram Mathematica 8.0