We therefore conclude that the Coriolis acceleration can rightfully be neglected in Eq. (8.75).

Following Pedlosky (1987), we can also derive an estimate of the density ratio pi/po since, by virtue of Eqs. (8.75) and (8.77), we know that the quantity p1 g is of the same order of magnitude as the vertical component of grad p1. Excepting perhaps the point L1, we can thus write

so that

Making use of Eq. (8.61) and letting g ^ GM/R2, we obtain

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