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In the solar neighborhood, where the typical relaxation timescale is larger than the cosmic age, at least 10\% to 15\% of Sun-like stars have planetary systems with Jupiter-mass planets. In contrast, dense star clusters, charactered by…

Earth and Planetary Astrophysics · Physics 2017-08-23 Maxwell Xu Cai , Rainer Spurzem , M. B. N. Kouwenhoven

In this paper, we undertake to present a self-contained and thorough analysis of the gravitational three body problem, with anticipated application to the Great Inequality of Jupiter and Saturn. The analysis of the three body Lagrangian is…

Classical Physics · Physics 2023-07-12 Jonathan Tot , S. R. Valluri , P. C. Deshmukh

Space debris is a major problem in space exploration. International bodies continuously monitor a large database of orbiting objects and emit warnings in the form of conjunction data messages. An important question for satellite operators…

Machine Learning · Statistics 2023-03-28 Francisco Caldas , Cláudia Soares , Cláudia Nunes , Marta Guimarães

In the paper, elements of the system theory of time are presented, mathematical models for time are constructed, and various properties are deduced from the main principles of the system theory of time. This theory is a far-reaching…

General Physics · Physics 2007-05-23 Mark Burgin

The giant planets were the first to form and hold the key to unveiling the solar system's formation history in their interiors and atmospheres. Furthermore, the unique conditions present in the interiors of the giant planets make them…

Earth and Planetary Astrophysics · Physics 2023-02-16 Yamila Miguel , Allona Vazan

Future surveys for transiting extrasolar planets, including the space-based mission Kepler (Borucki et al 2003), are expected to detect hundreds of Jovian mass planets and tens of terrestrial mass planets. For many of these newly discovered…

Astrophysics · Physics 2011-09-01 Matthew J. Holman , Norman W. Murray

We study the feasibility of observationally constraining the rotation rate of hot Jupiters, planets that are typically assumed to have been tidally locked into synchronous rotation. We use a three-dimensional General Circulation Model to…

Earth and Planetary Astrophysics · Physics 2014-07-16 E. Rauscher , E. M. R. Kempton

The hundreds of exoplanets that have been discovered in the past two decades offer a new perspective on planetary structure. Instead of being the archetypal examples of planets, those of our Solar System are merely possible outcomes of…

Earth and Planetary Astrophysics · Physics 2015-06-18 David S. Spiegel , Jonathan J. Fortney , Christophe Sotin

For centuries, our knowledge of planetary systems and ideas about planet formation were based on a single example, our solar system. During the last thirteen years, the discovery of ~170 planetary systems has ushered in a new era for…

Astrophysics · Physics 2007-05-23 Eric B. Ford

Over the past several decades, thousands of planets have been discovered outside of our Solar System. These planets exhibit enormous diversity, and their large numbers provide a statistical opportunity to place our Solar System within the…

Simple temporal problems represent a powerful class of models capable of describing the temporal relations between events that arise in many real-world applications such as logistics, robot planning and management systems. The classic…

Data Structures and Algorithms · Computer Science 2023-02-07 Carlo S. Sartori , Pieter Smet , Greet Vanden Berghe

As a direct result of ongoing efforts to detect more exoplanetary systems, an ever-increasing number of multiple-planet systems are being announced. But how many of these systems are truly what they seem? In many cases, such systems are…

Earth and Planetary Astrophysics · Physics 2013-02-22 Jonathan Horner , Robert A. Wittenmyer , Chris G. Tinney , Paul Robertson , Tobias C. Hinse , Jonathan P. Marshall

The era of outer planet orbiters (Galileo, Juno and Cassini) is advancing our understanding of how the radiation belts of Jupiter and Saturn are structured, form and evolve well beyond what had been possible during the age of flyby missions…

Earth and Planetary Astrophysics · Physics 2021-09-15 Elias Roussos , Peter Kollmann

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

The interval approach to computation of dynamics of celestial bodies in the planetary problem has been considered. It is based on the refusal from idealization of infinitely high resolving capacity of measuring tools, and forms an…

Space Physics · Physics 2010-02-17 Valeriy V. Petrov

The Capture Theory gives planet production through a tidal interaction between a condensed star and a diffuse protostar within a dense embedded cluster. Initial extensive and highly eccentric planetary orbits round-off and decay in a…

General Physics · Physics 2017-09-22 Michael Woolfson

Spacecraft observations of Saturn's rings show evidence of an active aggregation-disaggregation process triggered by periodic influences from the nearby moons. This leads to clumping and break-up of the ring particles at time-scales of the…

Earth and Planetary Astrophysics · Physics 2013-01-16 Pedro J. Torres , Prasanna Madhusudhanan , Larry W. Esposito

Saturn's quasi-periodic planet-encircling storms are the largest convecting outbursts in the Solar System. The last eruption was in 1990. A new eruption started in December 2010 and presented the first-ever opportunity to observe such…

This paper explores a possible linkage between solar motion about the solar system center of mass and the quasi-periodicity evident in the pressure and temperature of planet atmospheres. We establish that dominant mid frequency range…

Earth and Planetary Astrophysics · Physics 2023-08-25 Ian R. Edmonds