The Apollo-derived tenet of an anhydrous Moon has been contested following measurement of water in several lunar samples that require water to be present in the lunar interior. However, significant uncertainties exist regarding the flux, sources and timing of water delivery to the Moon. Here we address those fundamental issues by constraining the mass of water accreted to the Moon and modelling...

a Ecole Normale Supérieure de Lyon, University de Lyon 1, CNRS, Lyon, France Department of Earth Science, Rice University, Houston, TX 77005, USA c Steinmann Institut, Universität Bonn, 53115 Bonn, Germany Centre de Recherches Petrographiques et Géochimiques, CNRS, Ecole Nationale Supérieure de Géologie, 54501 Vandoeuvre-les-Nancy, France Washington University, St. Louis, MO 63130, USA Departme...

Abstract We study for the first time possibility of probing long-range fifth forces utilizing asteroid astrometric data, via force-induced orbital precession. examine nine Near-Earth Object (NEO) asteroids whose trajectories are accurately determined optical and radar astrometry. Focusing on a Yukawa-type potential mediated by new gauge field (dark photon) or baryon-coupled scalar, we estimate ...

We show that there is an O(n3) algorithm to approximate the bandwidth of an AT-free graph with worst case performance ratio 2. Alternatively, at the cost of the approximation factor, we can also obtain an O(e + n logn) algorithm to approximate the bandwidth of an AT-free graph within a factor 4 and anO(n+ e) algorithm with a factor 6. For the special cases of permutation graphs and trapezoid gr...