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Fig. 5

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Here, we illustrate the set-up of the perturbing function method. The primary A is deformed because of the tides exerted by the perturber B. Because of A’s internal friction processes, the tidal bulge is shifted from the line of centers with the tidal angle δl given in Eq. (94) for a given l Fourier component of the tidal potential. The Keplerian elements of B’s orbit are a, e, and M. Next, a third body C, which orbits around A with a mean motion n, is introduced, and the variations in the Keplerian elements of its orbit (a,e,M) are derived. After using Lagrange’s equation (Eqs. (108), (109)), we finally assume that the orbiter and the perturber are the same (i.e. C = B).

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