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Planetary systems with multiple transiting planets are beneficial for understanding planet occurrence rates and system architectures. Although we have yet to find a solar system analogue, future surveys may detect multiple terrestrial…

Earth and Planetary Astrophysics · Physics 2026-01-12 Bethlee Lindor , Eric Agol

Understanding the origin and long-term evolution of the Solar System is a fundamental goal of planetary science and astrophysics. This chapter describes our current understanding of the key processes that shaped our planetary system,…

Earth and Planetary Astrophysics · Physics 2024-04-24 Sean N. Raymond

We present an analysis of planetary moves, encoded in DE406 ephemerides. We show resonance cycles between most planets in Solar System, of differing quality. The most precise resonance - between Earth and Venus, which not only stabilizes…

General Physics · Physics 2014-02-27 P. A. Semi

A relationship between the average orbital radii of the planets and their satellites in the solar system and the spectra of atomic and molecular hydrogen is identified and investigated. In this model, stimulated radiative association…

Astrophysics · Physics 2007-05-23 James C. Lombardi

Gioseffo Zarlino reintroduced the Pythagorean paradigm into Renaissance musical theory. In a similar fashion, Nicolaus Copernicus, Galileo Galilei, Johannes Kepler, and Isaac Newton reinvigorated Pythagorean ideas in celestial mechanics;…

History and Overview · Mathematics 2021-04-05 Julyan H. E. Cartwright , Diego L. González , Oreste Piro

The solar system started to form about 4.56 Gyr ago and despite the long intervening time span, there still exist several clues about its formation. The three major sources for this information are meteorites, the present solar system…

Earth and Planetary Astrophysics · Physics 2015-06-23 S. Pfalzner , M. B. Davies , M. Gounelle , A. Johansen , C. Muenker , P. Lacerda , S. Portegies Zwart , L. Testi , M. Trieloff , D. Veras

Let w(i) be a period of rotation of the i-th planet around the Sun (or w(j;i) be a period of rotation of j-th satellite around the i-th planet). From empirical observations it is known that the sum of n(i)w(i)=0 (or the sum of n(j)w(j;i)=0)…

General Physics · Physics 2008-10-18 Arkady L. Kholodenko

Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites, as well as the evolution of small bodies…

chao-dyn · Physics 2009-10-22 Renu Malhotra

We present results on the structure of the near-surface layers of the Sun obtained by inverting frequencies of high-degree solar modes from "ring diagrams". We have results for eight epochs between June 1996 and October 2003. The…

Astrophysics · Physics 2008-11-26 Sarbani Basu , H. M. Antia , Richard S. Bogart

In this monograph (written in 1973-1974) the author uses the theory of mechanics of the inertless mass to investigate the structure of heavenly bodies of the solar system. The structure of the Sun and planets is the sole reason of the…

General Physics · Physics 2022-10-11 I. Z. Shkurchenko

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

In a recent article by Scafetta, 2010, the author investigates whether or not the decadal and multi-decadal climate oscillations have an astronomical origin. In particular, the author note that several global surface temperature records,…

Data Analysis, Statistics and Probability · Physics 2011-05-20 S. Sello

With the discovery of now more than 500 exoplanets, we present a statistical analysis of the planetary orbital periods and their relationship to the rotation periods of their parent stars. We test whether the structure of planetary orbits,…

Earth and Planetary Astrophysics · Physics 2011-09-22 Jean-Paul Zoghbi

Classical analytic theories of the solar system indicate that it is stable, but numerical integrations suggest that it is chaotic. This disagreement is resolved by a new analytic theory. The theory shows that the chaos among the Jovian…

Astrophysics · Physics 2009-10-31 N. Murray , M. Holman

The field of exoplanetary science has experienced a recent surge of new systems that is largely due to the precision photometry provided by the Kepler mission. The latest discoveries have included compact planetary systems in which the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Stephen R. Kane , Natalie R. Hinkel , Sean N. Raymond

We construct a secular theory of a coplanar system of N-planets not involved in strong mean motion resonances, and which are far from collision zones. Besides the point-to-point Newtonian mutual interactions, we consider the general…

Astrophysics · Physics 2009-11-13 Cezary Migaszewski , Krzysztof Gozdziewski

The chaotic behaviour of the motion of the planets in our Solar System is well established. In this work to model a hypothetical extrasolar planetary system our Solar System was modified in such a way that we replaced the Earth by a more…

Classical Physics · Physics 2009-11-11 Áron Süli , Rudolf Dvorak

The Sun's equator and the planets' orbital planes are nearly aligned, which is presumably a consequence of their formation from a single spinning gaseous disk. For exoplanetary systems this well-aligned configuration is not guaranteed:…

An oscillation with a period of about 2100-2500 years, the Hallstatt cycle, is found in cosmogenic radioisotopes (C-14 and Be-10) and in paleoclimate records throughout the Holocene. Herein we demonstrate the astronomical origin of this…

Geophysics · Physics 2016-10-12 Nicola Scafetta , Franco Milani , Antonio Bianchini , Sergio Ortolani

A long-term numerical integration of the classical Newtonian approximation to the planetary orbital motions of the full Solar System (sun + 8 planets), spanning 20 Gyr, was performed. The results showed no severe instability arising over…

Astrophysics · Physics 2009-06-13 Konstantin Batygin , Gregory Laughlin