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Generalized geodesic deviations: a Lagrangean approach

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Kerner R.

Banach Center Publications

2003

tom 59

nr 1

173-188

The geodesic deviation equations, called also the Jacobi equations, describe only the first-order effects, linear in the small parameter characterizing the deviation from an original worldline. They can be easily generalized if we take into account the higher-order terms. Here we derive these higher-order equations not only directly, but also from the Taylor expansion of the variational principle itself. Then we show how these equations can be used in a novel approach to the two-body problem in General Relativity

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1 Banach Center Publications

1 Kerner R.

1 2003

Wyniki wyszukiwania

Generalized geodesic deviations: a Lagrangean approach