Open AccessThe tidal field of a planet and the related intrinsic reference systems
Author(s) -
Marussi Antonio
Publication year - 1979
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1979.tb00174.x
Subject(s) - gravitational field , planet , geophysics , geology , field (mathematics) , curvature , geodesy , physics , classical mechanics , astronomy , geometry , mathematics , pure mathematics
Summary The tensor describing the tidal gravitational field of the Earth or of a planet is expressed in terms of the curvature parameters of the field. The tensor is then related to the orthonormal reference triads intrinsically defined within the gravity (or gravitational) field of the planet itself, i.e. the only triads recognizable locally with conceivable experiments: the canonical triad , for an observer connected with the Earth, and the tidal triad , for an observer in inertial navigation. Each system of orthonormal triads defines a triple system of mutually orthogonal congruences, to which an anholonomic system of coordinates is attached. Ricci's coefficients of rotation connecting the triads of the frames and the objects of anholonomity of the coordinate's systems are computed together with other geometrical quantities.