Relativistic problems on astronomical constants.

Details Relativistic problems on astronomical constants. Relativistic problems on astronomical constants.

Jun 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999pabei..17...93t&link_type=abstract

Prog. Astron., Vol. 17, No. 2, p. 93 - 103

Astronomy and Astrophysics

Astronomy

Astronomical Constants: Relativistic Effects, Reference Systems: Relativistic Effects

Scientific paper

The fact that modern astronomical observational technique has made rapid progress and the 1PN approximation of general relativity has been extensively applied in celestial mechanics and astrometry, makes it is necessary to investigate and examine the system of astronomical constants carefully and rigorously in the relativistic framework. The mass of a celestial body in the solar system should be defined as its BD mass that changes relatively in an amount less than 10-19 and could be considered as a constant. The equations satisfied by the gravitational potentials are not Poisson equations anymore but depend on the choice of the coordinate gauge. Therefore the gravitational potentials cannot be expanded in the traditional harmonics. It is neccessary to choose the coordinate gauge and take BD multipole moments as astronomical constants. The obliquity of the ecliptic has been determined in high precision and it would be neccessary to give a conventional definition of the 1PN ecliptic. A relativistic definition of the geoid is important and left to be discussed. The astronomical constants that relate the units of time and length have been clearly defined but need to be clarified to avoid their misuse.

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