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We study the forced rotation of Titan seen as a rigid body at the equilibrium Cassini state, involving the spin-orbit synchronization. We used both the analytical and the numerical ways. We analytically determined the equilibrium positions and the frequencies of the 3 free librations around it, while a numerical integration associated to frequency analysis gave us a more synthetic, complete theory, where the free solution split from the forced one. We find a mean obliquity of 2.2 arcmin and the fundamental frequencies of the free librations of about 2.0977, 167.4883, and 306.3360 years. Moreover, we bring out the main role played by Titans inclination on its rotation, and we suspect a likely resonance involving Titans wobble.
String rewriting systems have proved very useful to study monoids. In good cases, they give finite presentations of monoids, allowing computations on those and their manipulation by a computer. Even better, when the presentation is confluent and term
We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic $c$-function ($C(l)$) of SU(3) gauge theory in lattice Monte Carlo simulation usi
Numerous geological features that could be evaporitic in origin have been identified on the surface of Titan. Although they seem to be water-ice poor, their main properties -chemical composition, thickness, stratification- are essentially unknown. In
We investigate the effects of varying Saturns orbit on the atmospheric circulation and surface methane distribution of Titan. Using a new general circulation model of Titans atmosphere, we simulate its climate under four characteristic configurations
Tangential YORP, or TYORP, has recently been demonstrated to be an important factor in the evolution of an asteroids rotation state. It is complementary to normal YORP, or NYORP, which used to be considered previously. While NYORP is produced by non-