Creep tide model for the three-body problem
نویسندگان
چکیده
We present a tidal model for treating the rotational evolution in general three-body problem with arbitrary viscosities, which all masses are considered to be extended and interactions between pairs taken into account. Based on creep tide theory, we set of differential equations that describes each body, formalism is easily extensible N tidally interacting body problem. apply our case circumbinary planet use Kepler-38 like binary system as working example. find that, this low planetary eccentricity case, most likely final stationary rotation state 1:1 spin–orbit resonance, considering an viscosity inside estimated range Solar System planets. The timescales reaching equilibrium expected approximately millions years stiff bodies but can longer than age planets large gaseous component. derive analytical expressions mean state, based high-order power series ratio semimajor axes 1 ∕ 2 low-order expansions eccentricities. These found very accurately reproduce behaviour low-eccentric numerical integrations relaxation factors, up ~ 0.4. Our used predict Kepler them probably rotating subsynchronous although synchrony shift much less important previous estimations. comparison results those obtained Constant Time Lag opposed assumptions works, cross torques have non-negligible net secular contribution, must account when computing tides over -extended-body from reference frame. naturally theory. In addition this, latter considers more realistic rheology proved reduce limit also allows several additional relevant physical phenomena studied.
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ژورنال
عنوان ژورنال: Astronomy and Astrophysics
سال: 2021
ISSN: ['0004-6361', '1432-0746']
DOI: https://doi.org/10.1051/0004-6361/202140957