RATGP95: A harmonic development of the tide-generating potential using an analytical method

Abstract

A harmonic development of the tide-generating potential (TGP), named RATGP95, has been computed using an analytical method. The lunar part of the potential has been developed to degree five and the solar part to degree three. In addition, we have considered several perturbing effects: direct and indirect planetary effects, lunar inequality; effects of the nutations; Earth's flattening; and time dependence of the amplitudes. Finally, we have obtained a tidal potential of 6499 terms that has a truncation level of 2.6 × 10-7 m2 s-2 and an accuracy of 1.6 (9.35) ngal in the time domain and 0.003 (1.58) ngal in the frequency domain (1 ngal = 10-9 gal = 10-11 m s-2). This has been evaluated by computing the root mean square (maximum) of the differences with respect to the benchmark series bfde200a from Wenzel (1995).