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home news links tigers n-body introduction to the n-body problem simulations online! planets, stellar clusters and galaxies -- the book: gravitational n-body simulations bibliography n-body links news 20 jul 2005 : tigers! 21 feb 2005 : sverre.com official opening all news contact dr. sverre aarseth institute of astronomy madingley road cambridge cb3 0ha feedback about the site © sverre aarseth 2005 cjo -- site administration - n-body simulations online here we can put a brief introductory text for the site which can be complemented by the following list of things. we can also include a nice picture either of the orbits you sent me or of the globular cluster you sent me. this introduction should fulfill the following: briefly and effectively tell the surfer what this site is about and what the goal of the site is (allow people to fiddle with real-time n-body simulations as an accompaniment to the book?). that's an important requirement for the ease of use of the site. -- what do we want here : here we put some descriptions of the features of the website. these descriptions can relate to the links in the navigation for more details. -- the n-body problem : the classical n-body problem is defined as a generalization of newton's law of gravitation for a system of n interacting bodies. although analytical solutions for n = 2 can be obtained in an elegant manner, extension to the case n = 3 already presents intractable difficulties. a comprehensive description of the many historical developments of this rich problem can be found here . the modern astronomer makes use of computers to obtain the complete solutions as functions of the time. increasingly fast processor speed facilitates the laborious calculation of all the individual interactions needed in order to advance the solutions by a suitably small time interval (see "introduction to the n-body problem) ). more efficient numerical integration schemes have also been developed in response to new challenges. consequently, progress over the last 40-odd years has enabled astronomers to extend their investigations from a few dozen stars to systems containing up to about 100,000 members. the aim of numerical experiments is to describe the entire evolutionary history of self-contained stellar systems orbiting the galaxy. this has only become possible by combining speed and reliability of the hardware with sophisticated software development, while still obtaining the solutions by essentially direct brute-force means. such simulations therefore constitute a stellar laboratory where time spans of millions of years are compressed into hours. repeated experiments then allow for a range of effects to be explored systematically in order to improve the models, which should ideally account for the observational properties. working in this way, the numerical simulator provides an important interface between theory and the real world. hence the computer code becomes a powerful tool which can be employed for both practical and theoretical purposes. i suggest we write a brief history of the n-body problem in the navigation on the left. -- planets and star clusters : in fact, clusters of all kinds are so interesting that it would be nice to have a page dedicated to their description. -- direct n-body simulations can be used to study planetary systems and a variety of star clusters. the latter vary in size from small groups to rich systems of a few million stars. using the most powerful supercomputers, current technology is still not adequate to attack the largest observed clusters. however, the basic process of gravitational interaction is already exhibited by the three-body problem which is particularly suitable for graphical illustrations. such deceptively simple systems are in fact chaotic and their description has attracted the attention of many eminent mathematicians since newton's days. since analytical solutions have proved elusive, numerical studies are of both scientific and educational value. observing the intricate orbits in space and time of just three interacting bodies yields an insight into the general behaviour of gravitational systems where the processes of exchange and escape are demonstrated. adding a fourth body (i.e. binary--binary collisions ) introduces further complexity which also allows for the possibility of stable triples to be formed. beyond that, simple orbit visualization of chaotic systems becomes less useful and other means of graphical representation would be more appropriate. planetary motions provide another type of few-body system which can also be illustrated graphically. however, because the central sun dominates, such systems are intrinsically stable and movie displays of conventional solar systems with nearly circular orbits do not have much entertainment value. for educational purposes the initial conditions for an idealized earth and jupiter orbit are provided on the simulations page . note that the combination of the earth's faster speed (factor 2.28) and its smaller distance (factor 5.2) results in nearly a factor of 12 difference in the periods. the book and the code : the bibliography page and the book would obviously be linked to the page about the book . on all pages i would have some illustration as here but they would be related to the content of the page. i need to go and find some more images and crop them for use on the web site but with this, i think you get the idea. then if you want to add some more stuff here seems a good place. here i would see something with how to contact you if there any questions and a message like: -- many practical aspects of the n-body problem are discussed in the book . the code descriptions are based on previously published papers with collaborators who provided key ideas (see the references in the bilbiography ). my main occupation over more than four decades has been concerned with the implementation of algorithms for a variety of dynamical problems, ranging from planetary formation to cosmological simulations. however, the efficient treatment of strong few-body interactions has taken pride of place. it is therefore appropriate that such movies are featured on my personal website. the whole dedicated effort has resulted in many computer codes that are freely available. writing the book proved a natural conclusion -- a project which took ten years. i hope you enjoy the site! sverre aarseth

URL analysis for sverre.com

http://www.sverre.com/index.php?page=about
http://www.sverre.com/index.php?page=intro
http://www.sverre.com/index.php?page=home
http://www.sverre.com/index.php?page=links
http://www.sverre.com/index.php?page=java
http://www.sverre.com/index.php?page=book
http://www.sverre.com/index.php?page=simulations
http://www.sverre.com/index.php?page=admin
http://www.sverre.com/index.php?page=all_news
http://www.sverre.com/tiger.php
http://www.sverre.com/index.php?page=biblio
http://www.sverre.com/index.php?page=feedback
www-groups.dcs.st-and.ac.uk
ast.cam.ac.uk

Whois Information

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Domain Name: SVERRE.COM
Registry Domain ID: 22376364_DOMAIN_COM-VRSN
Registrar WHOIS Server: whois.joker.com
Registrar URL: http://www.joker.com
Updated Date: 2015-01-31T11:57:59Z
Creation Date: 2000-03-14T12:43:48Z
Registry Expiry Date: 2018-03-14T11:43:48Z
Registrar: CSL Computer Service Langenbach GmbH d/b/a joker.com
Registrar IANA ID: 113
Registrar Abuse Contact Email: [email protected]
Registrar Abuse Contact Phone: +49.21186767447
Domain Status: clientTransferProhibited https://icann.org/epp#clientTransferProhibited
Name Server: NS.34SP.COM
Name Server: NS2.34SP.COM
DNSSEC: unsigned
URL of the ICANN Whois Inaccuracy Complaint Form: https://www.icann.org/wicf/
>>> Last update of whois database: 2017-09-23T15:47:06Z <<<

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  REGISTRAR CSL Computer Service Langenbach GmbH d/b/a joker.com

SERVERS

  SERVER com.whois-servers.net

  ARGS domain =sverre.com

  PORT 43

  TYPE domain

DOMAIN

  NAME sverre.com

  CHANGED 2015-01-31

  CREATED 2000-03-14

STATUS
clientTransferProhibited https://icann.org/epp#clientTransferProhibited

NSERVER

  NS.34SP.COM 80.82.112.108

  NS2.34SP.COM 89.21.0.52

  REGISTERED yes

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