General relativistic celestial mechanics of binary systems. I. The post-newtonian motion
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General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula
Thibault Damour, Nathalie Deruelle (1986)
Annales de l'I.H.P. Physique théorique
Generalized geodesic deviations: a Lagrangean approach
R. Kerner (2003)
Banach Center Publications
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...
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