Chaos theory | Orbital perturbations

Stability of the Solar System

The stability of the Solar System is a subject of much inquiry in astronomy. Though the planets have been stable when historically observed, and will be in the short term, their weak gravitational effects on one another can add up in unpredictable ways. For this reason (among others), the Solar System is chaotic in the technical sense of mathematical chaos theory, and even the most precise long-term models for the orbital motion of the Solar System are not valid over more than a few tens of millions of years. The Solar System is stable in human terms, and far beyond, given that it is unlikely any of the planets will collide with each other or be ejected from the system in the next few billion years, and that Earth's orbit will be relatively stable. Since Newton's law of gravitation (1687), mathematicians and astronomers (such as Pierre-Simon Laplace, Joseph Louis Lagrange, Carl Friedrich Gauss, Henri Poincaré, Andrey Kolmogorov, Vladimir Arnold, and Jürgen Moser) have searched for evidence for the stability of the planetary motions, and this quest led to many mathematical developments and several successive "proofs" of stability of the Solar System. (Wikipedia).

Stability of the Solar System
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Equilibrium and stability of differentially rotating stellar systems

https://www.sns.ias.edu/stellar-dynamics-workshop/schedule More videos on http://video.ias.edu

From playlist Natural Sciences

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Teach Astronomy - Formation of the Solar System

http://www.teachastronomy.com/ Any theory of the formation of the solar system must explain a specific set of facts. The Sun occupies most of the mass of the solar system with the planets barely 0.2 percent. The Sun and the planets orbit in a single plane, and the Sun also rotates in tha

From playlist 12. Formation and Nature of Planetary Systems

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Teach Astronomy - Life and Binary Stars

http://www.teachastronomy.com/ The Sun is not like most stars in one important way. The Sun is a single isolated star with its own planetary system. The majority of stars in the Milky Way galaxy are in binary or multiple systems. Astronomers have done dynamical experiments with computer

From playlist 27. Life in the Universe

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Astronomy - Ch. 7: The Solar Sys - Comparative Planetology (2 of 33) Introduction 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce, chapter 7, some of the topics of physical and orbital parameters of our Solar System. Next video in this series can be seen at: http://youtu.be/k3IYjuOGL6k

From playlist ASTRONOMY 7B THE SOLAR SYSTEM - COMPARATIVE PLANETOLOGY

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Solar Storms Rising

Solar forecasters predict the Sun will reach the peak of its eleven year cycle sometime in 2013. Meanwhile, after one of the least active solar minimums on record, the Sun is rising again. Here are some of the highlights captured so far by NASA satellites: powerful X-class flares, flamboya

From playlist The Solar System

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Teach Astronomy - Planets and Atmospheres

http://www.teachastronomy.com/ The composition of the atmosphere of any planet depends on three things. The first is the chemical composition of the material available to form an atmosphere. This is the original hydrogen and helium of the solar nebula plus trace elements combined with th

From playlist 10. The Solar System

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Surface of the Sun as You've Never Seen it

Our sun is an incredible fusion engine. From the surface of earth, we see it as a mere ball of light, but through amazing high-res imaging capabilities, we can observe real solar activities thanks to NASA's Solar Dynamics Observatory.

From playlist The Solar System

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Teach Astronomy - Planetesimals

http://www.teachastronomy.com/ The collapse of the solar nebula creates a young star with a surrounding disk of gas and dust. Condensation takes us from molecules and groups of molecules to dust grains about a millimeter or so across. These grains are rocky in the inner solar system and

From playlist 12. Formation and Nature of Planetary Systems

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Of Particles, Stars and Eternity - Cedric Villani

Can one predict the future arrangements of planets over extremely large time periods? For centuries this issue has triggered dreams of curious people, and hot debates by specialists including Newton, Lagrange, Poincare, Kolmogorov, Laskar, and Tremaine. Villani explores the long time behav

From playlist Mathematics

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2014 GCEP Technical Talks: Renewables | Solar Fuels from Light and Heat

Materials Science and Engineering Professor William Chueh discusses the roles of light and thermal energy in converting sunlight into fuel. Chueh's presentation was hosted by the 2014 Global Climate and Energy Project (GCEP) Research Symposium. Learn more about GCEP: http://stanford.io/18

From playlist GCEP Symposium 2014

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Why nuclear power will (and won't) stop climate change

Can nuclear power save us from climate change? Well, yes! And no. Get access to Nebula (link updated March 2023): https://go.nebula.tv/simonclark Chapters: 0:00 Introduction 2:23 Is nuclear power safe? 5:22 Is nuclear the best way to generate low carbon electricity? 16:20 How do energy gr

From playlist Science videos

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Laskar Jacques "Stability and Chaos in the Solar System. From Poincaré to the present"

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From playlist Colloque Scientifique International Poincaré 100

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The Most Stable Neighborhoods in the Universe

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From playlist SciShow Space

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Planet Nine Like Object Identified, But In a Different Star System

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From playlist Unusual Exoplanets

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Michela Mapelli - Astrophysical models of binary compact objects - IPAM at UCLA

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From playlist Workshop: Source inference and parameter estimation in Gravitational Wave Astronomy

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Valerio Lucarini: Multistability of the climate ...

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From playlist Jean-Morlet Chair - Pollicott/Vaienti

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Ledoux Michel "Poincaré inequalities in probability and geometric analysis"

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Teach Astronomy - Planets in the Outer Solar System

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From playlist 10. The Solar System

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Lec 31b - Phys 237: Gravitational Waves with Kip Thorne

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From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics

Related pages

Vladimir Arnold | Carl Friedrich Gauss | Semi-major and semi-minor axes | N-body problem | Perturbation (astronomy) | Axial tilt | Rotation period | Ellipse | Chaos theory | Andrey Kolmogorov | Jürgen Moser | Pierre-Simon Laplace | Henri Poincaré | Myr | Lyapunov time