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We used a sample of Kepler candidate planets with orbital periods less than 200 days and radii between 1.5 and 30 Earth radii to determine the typical dynamical spacing of neighboring planets. To derive the intrinsic (i.e., free of…

Earth and Planetary Astrophysics · Physics 2015-06-15 Julia Fang , Jean-Luc Margot

Studying the orbital stability of multi-planet systems is essential to understand planet formation, estimate the stable time of an observed planetary system, and advance population synthesis models. Although previous studies have primarily…

Earth and Planetary Astrophysics · Physics 2023-09-01 Sheng Yang , Liangyu Wu , Zekai Zheng , Masahiro Ogihara , Kangrou Guo , Wenzhan Ouyang , Yaxing He

Among other things, studies of the formation and evolution of planetary systems currently draw on two important observational resources: the precise characterization available for planets that transit their parent stars and the frequency…

Earth and Planetary Astrophysics · Physics 2010-06-21 Darin Ragozzine , Matthew J. Holman

For vehicle sharing schemes, where drop-off positions are not fixed, we propose a pricing scheme, where the price depends in part on the distance between where a vehicle is being dropped off and where the closest shared vehicle is parked.…

Optimization and Control · Mathematics 2019-10-01 Jakub Marecek , Robert Shorten , Jia Yuan Yu

The idea of a Mutiverse is controversial, although it is a natural possible solution to particle physics and cosmological fine-tuning problems (FTPs). Here I explore the analogy between the Multiverse proposal and the proposal that there…

General Physics · Physics 2015-06-29 Osame Kinouchi

The search for habitable planets like Earth around other stars fulfils an ancient imperative to understand our origins and place in the cosmos. The past decade has seen the discovery of hundreds of planets, but nearly all are gas giants…

Astrophysics · Physics 2009-11-13 Eric Gaidos , Nader Haghighipour , Eric Agol , David Latham , Sean Raymond , John Rayner

The Solar System hosts the most studied and best understood major and minor planetary bodies - and the only extraterrestrial bodies to have been visited by spacecraft. The Solar System therefore provides important constraints on both the…

Earth and Planetary Astrophysics · Physics 2025-08-04 Anders Johansen , Michele T. Bannister , Luke Dones , Seth Jacobson , Kelsi Singer , Kathryn Volk , Maria Womack

Long-distance driving is an important component of planetary surface exploration. Unforeseen events often require human operators to adjust mobility plans, but this approach does not scale and will be insufficient for future missions.…

Robotics · Computer Science 2024-12-31 Olivier Lamarre , Jonathan Kelly

Current observations indicate that the planet formation process often produces multiple planet systems with nearly circular orbits, regular spacing, a narrow range of inclination angles, and similar planetary masses of order $m_{\rm…

Earth and Planetary Astrophysics · Physics 2019-07-10 Fred C. Adams

This article deals with the most recent developments in the field of exoplanetary science connecting the interior of the planets with their habitability. In this issue, I have specified the importance of interior dynamics and briefly…

Earth and Planetary Astrophysics · Physics 2021-05-03 Nisha Katyal

We seek to characterize giant-planet systems by their gravitational scattering properties. We do this to a given system by integrating it numerically along with a large number of hypothetical small bodies that are initially in eccentric…

Earth and Planetary Astrophysics · Physics 2014-03-04 Teemu Laakso , Jari Rantala , Mikko Kaasalainen

Warning. The reading of this paper will send you down many winding roads toward new and exciting research topics enumerating generalized parking functions. Buckle up!

The discovery of Earth-like planets is a major focus of current planetology research and faces a significant technological challenge. Indeed, when it comes to detecting planets as small and cold as the Earth, the cost of observation time is…

Earth and Planetary Astrophysics · Physics 2024-08-23 Jeanne Davoult , Yann Alibert , Lokesh Mishra

Occupied truck parking lots regularly cause hazardous situations. Estimation of current parking lot state could be utilized to provide drivers parking recommendations. In this work, we highlight based on a simulation scenario, how sparse…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Florian Ziegler , Maurice Freund , Andreas Rydzek , Thomas Liebig

Exoplanet detection in the past decade by efforts including NASA's Kepler and TESS missions has discovered many worlds that differ substantially from planets in our own Solar System, including more than 150 exoplanets orbiting binary or…

Earth and Planetary Astrophysics · Physics 2022-05-03 Zhihui Kong , Jonathan H. Jiang , Remo Burn , Kristen A. Fahy , Zonghong Zhu

We consider the problem of constructing public facilities, such as hospitals, airports, or malls, in a country with a non-uniform population density, such that the average distance from a person's home to the nearest facility is minimized.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael T. Gastner , M. E. J. Newman

This paper provides an exploration of parking functions, a classical combinatorial object. We present two viewpoints on their structure and properties: through poset of noncrossing partitions and polytopes.

History and Overview · Mathematics 2024-12-17 Yan Liu

Many studies suggest that searching for parking is associated with significant direct and indirect costs. Therefore, it is appealing to reduce the time which car drivers spend on finding an available parking lot, especially in urban areas…

Applications · Statistics 2021-06-14 Marc Schneble , Göran Kauermann

Roughly half of Solar-type planet hosts have stellar companions, so understanding how these binary companions affect the formation and evolution of planets is an important component to understanding planetary systems overall. Measuring the…

With over 1800 planets discovered outside of the Solar System in the past two decades, the field of exoplanetology has broadened our perspective on planetary systems. Research priorities are now moving from planet detection to planet…

Earth and Planetary Astrophysics · Physics 2015-09-07 Julien de Wit
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