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Cyclic sedimentation has varied at several timescales and this variabilityhas been geologically well documented at Milankovitch timescales, controlled inpart by climatically (insolation) driven sea-level changes. At the longer (tensof Myr) timescales connection between astronomical parameters and sedimentationvia cyclic solar-system motions within the Milky Way has also been proposed,but this hypothesis remains controversial because of the lack of longgeological records. The absence of a physical mechanism that could explain theconnection between climate and astronomy at these longer timescales led to theexplanation of plate motions as the main driver of climate on Earth.  Here we statistically show a prominent and persistent ~36 Myr sedimentarycyclicity superimposed on two megacycles (~250 Myr) in a relativelywell-constrained sea-level (SL) record of the past 542 Myr (Phanerozoic eon).  Given the possible link between amplitudes of the ~36 and ~250 Myrcyclicities in SL record and the potential that these periodicities fall intothe frequency band of solar system motions, we suggest an astronomical origin,and model these periodicities as originating from the path of the solar systemin the Milky Way as vertical and radial periods that modulate the flux ofcosmic rays on Earth. Our finding of the ~36 Myr SL cyclicity lends credibilityto the existing hypothesis about the imprint of solar-system vertical period onthe geological record. The ~250 Myr megacycles are tentatively attributed to aradial period. However, the tectonic drivers also remain potentially plausible.  The potential existence of a correlation between the modeled astronomicalsignal and the geological record may offer an indirect proxy to understand thestructure and history of the Milky Way by providing a 542 Myr long record ofthe path of the Sun in our Galaxy.

Long-Term Cyclicities in Phanerozoic Sea-Level Sedimentary Record and  their Potential Drivers (Does the Phanerozoic sea level encode the motion of  solar system in the Milky Way ?)