Harmonic models of tide-generating potential of the terrestrial planets

Computer Science

Scientific paper

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Scientific paper

High-accurate harmonic development of the tide-generating potential (TGP) of Mercury, Venus and Mars is made. For that the planets TGP values were first calculated on the base of DE/LE-406 numerical ephemerides over a long period of time and then processed by a new spectral analysis method. A feature of the method is the development is directly made to Poisson series where both amplitudes and arguments of the series’ terms are high-degree polynomials of time. The new harmonic development of Mars TGP is made over the time period 1900-2100 and includes 767 second-order Poisson series’ terms of minimum amplitude equal to 10-7 m2 /s2 . Similar series composing the Mercury and Venus TGP models are built over the time period 1000-3000 and include 1,061 and 693 terms, respectively. A modification of the standard HW95 format for representation of the terrestrial planets TGP is proposed. The number of terms in the planetary TGP models transformed to the modified HW95 format is 650 for Mercury, 422 for Venus, and 480 for Mars.

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