Relativity in fundamental astronomy: solved and unsolved problems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Nowadays it is no longer necessary to justify the importance of consistent relativistic modelling in the field of fundamental astronomy. Although in the last 20 years the theoretical foundations of relativistic modelling have been elaborated with a lot of care, there are a number of issues, mostly of practical character, that still require both theoretical discussions and practical implementations. These ’gray’ areas of the modelling include modelling of rotational motion of celestial bodies, correct inclusion of multipole structure of the bodies in the translational equations of motion, interplay between numer- ical accuracy and analytical ”order of magnitude” of various relativistic terms, relativistic scaling of astronomical quantities and units of measurements. An overview of the relativistic issues in the field of fundamental astronomy is given here from this critical point of view.

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