three body problem
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enLagrange and the Interplanetary Superhighway
http://plus.maths.org/content/lagrange-and-interplanetary-superhighway
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Lewis Dartnell </div>
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In the last issue <b>Lewis Dartnell</b> explained how chaos on the brain is not only unavoidable but also beneficial. Now he tells us why the same is true for our solar system and sends us on a journey that has been travelled by comets and spacecraft. </div>
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<div class="pub_date">September 2005</div>
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<h3>Analysis and the winning of a prize</h3>
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<p>Nicolaus Copernicus, 1473 - 1543.</p><p><a href="http://plus.maths.org/content/lagrange-and-interplanetary-superhighway" target="_blank">read more</a></p>http://plus.maths.org/content/lagrange-and-interplanetary-superhighway#comments36astronomycalculuschaoscopernicusdynamical systemEulergravityNewtonphysicsspace explorationthree body problemWed, 31 Aug 2005 23:00:00 +0000plusadmin2271 at http://plus.maths.org/contentHow not to catch a sunbeam
http://plus.maths.org/content/how-not-catch-sunbeam
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Has the precious cargo of the crashed Genesis mission survived to tell us about the origins of our solar system? </div>
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<div class="pub_date">10/09/2004</div>
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<p>"It's in one piece... it's on the ground... that's a good thing," said Dr Ian Franchi, putting on a brave face when he realised the long-awaited Genesis capsule had crashed to Earth.</p><p><a href="http://plus.maths.org/content/how-not-catch-sunbeam" target="_blank">read more</a></p>http://plus.maths.org/content/how-not-catch-sunbeam#commentsastronomylagrange pointthree body problemThu, 09 Sep 2004 23:00:00 +0000plusadmin2512 at http://plus.maths.org/contentOuter space: Two's company, three's a crowd
http://plus.maths.org/content/outer-space-twos-company-threes-crowd
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John D. Barrow </div>
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<p>Two people who get on well together can often find their relationship destabilised by the arrival of a third into their orbit.</p>
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<div class="pub_date">September 2004</div>
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<p>Two people who get on well together can often find their relationship destabilised by the arrival of a third into their orbit. This is even more noticeable when gravity is the force of attraction involved. Newton taught us that two masses can remain in stable orbit around their centre of mass under their mutual gravitational forces - as do the Earth and the Moon.<p><a href="http://plus.maths.org/content/outer-space-twos-company-threes-crowd" target="_blank">read more</a></p>http://plus.maths.org/content/outer-space-twos-company-threes-crowd#comments31gravityouterspaceslingshotthree body problemTue, 31 Aug 2004 23:00:00 +0000plusadmin4776 at http://plus.maths.org/contentHeavenly choreography
http://plus.maths.org/content/heavenly-choreography
<div class="pub_date">May 2001</div>
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<p>When heavenly bodies such as stars and planets attract each other by means of gravity, what are the possible effects on their motion? In general this is an insoluble problem, even though the equations of gravity were described by Sir Isaac Newton three centuries ago. But one new possibility has recently been discovered by mathematicians Richard Montgomery and Alain Chenciner.</p><p><a href="http://plus.maths.org/content/heavenly-choreography" target="_blank">read more</a></p>http://plus.maths.org/content/heavenly-choreography#commentsLagrangian systemNewtonian mechanicsplanetary orbitthree body problemMon, 30 Apr 2001 23:00:00 +0000plusadmin2788 at http://plus.maths.org/contentMathematical mysteries: the three body problem
http://plus.maths.org/content/mathematical-mysteries-three-body-problem
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<p>On June 25th 1998 the Solar and Heliospheric Observatory known as SOHO, a small spacecraft that monitors the sun, went missing. An error in the instructions given to it from ground control left it spinning out of control. However, there is a glimmer of hope.</p>
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<div class="pub_date">September 1998</div>
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<p>On June 25th 1998 the Solar and Heliospheric Observatory known as SOHO, a small spacecraft that monitors the sun, went missing. An error in the instructions given to it from ground control left it spinning out of control. With its solar panels in shadow its battery ran down and it lost contact with Earth. <!-- FILE: include/leftfig.html --></p><p><a href="http://plus.maths.org/content/mathematical-mysteries-three-body-problem" target="_blank">read more</a></p>http://plus.maths.org/content/mathematical-mysteries-three-body-problem#comments6Mathematical mysteriesthree body problemMon, 31 Aug 1998 23:00:00 +0000plusadmin4763 at http://plus.maths.org/content