barnes-hutt anukaran

barnes-hutt simulation (josh barnes aanee piit hatvaroon naav dilele) heey "aine"-boddy simulation karnyasathi eka andaje algoridam aahe. thet-berries algoridamchya tulanet oo ("aine" logg "aine") kram asane heey ullekhaneey aahe jeey oo ("aine" 2) asel.
anukaran aakarman samanyatah auktridware (trimiteey jaaget) ghan peshinmadhye vibhagale jaate, jenekarun jawalchya peshinmadhil keval kananvar vaiyaktikaritya upchar karane aavashyak aahe aanee durchya peshinmadhil kananna peshichya vastumanachya kendrasthani (kinwa qamee-kramatil bahudhruviy vistar mhanoon) kendrit asalela ekach motha kann manale jaau shakate. heey kann jodee parasparsanvadanchi sankhya natakiyaritya qamee karoo shakate jyachi ganana karane aavashyak aahe.
kahee sarvat magani asalele uchch-karyakshamateche sanganakeey prakalp barnes-hutt tricode algoridamcha vapar karoon sanganakeey khagolbhautiki karatat.
jase qee digima.
algoridam.
barnes-hutt vruksh.
trimiteey 'aine'-boddy simulationmadhye, barnes-hutt algoridam aavartipane 'aine' bodies auktrimadhye (kinwa 2 dii simulationmadhye kwad-trii) sathavun gatanmadhye vibhagate. yaa vrukshatil pratyek node trimiteey jaagecha eka pradesh darshavito. 
sarvat varcha node sampoorn jaageche pratinidhitva karato aanee tyachi aath mule jaageche aath ashtake darshavtat. pratyek upavibhagat 0 kinwa 1 bhag hoiparyant (kahee pradeshanna tyanchya serve ashtakanmadhye bhag nasatat) jaaga varanvar ashtakanmadhye vibhagali jaate. 
auktrimadhye done prakarche nodes asatatah antargat aanee bahya nodes. bahya nodala mule nasatat aanee tee ektar rikami asate kinwa ekach vastuche pratinidhitva karate. pratyek antargat node tyachya khalee asalelya shariranchya samoohache pratinidhitva karato aanee vastumanache kendra aanee tyachya serve baal shariranche ekoon vastuman sathavato.
ekhadya vastuvar karya karya shaktichi ganana karane.
ekhadya vishisht bhagavaril nivval shaktichi ganana karnyasathi, zadachya gathee mulapasoon suru houn paar kelya jaatat. jarr antargat nodache vastuman kendra bodypasoon purese door asel tarr treachya tyaa bhagat asalelya bodiesla ekach kann manale jaate jyachi sthitee aanee vastuman anukrame antargat nodache vastuman aanee ekoon vastuman yanche kendra aahe. jarr antargat node sharirachya puresha jawal asel tarr tyachya pratyek mulasathi hii prakriya punha kelee jaate.
node heey ekhadya vastupasoon purese door aahe qee nahee heey bhagfal sutravar avalambun asate, jethe "s" hii antargat noddware darshavilelya pradeshachi rundi aahe aanee "d" heey vastoo aanee nodchya vastumanachya kendramadhil antar aahe. jevha heey gunottar threshold moolya "θ" peksha qamee asate tevha node puresa door asato. θ" haah mapdand anukaranachi achookata nirdharit karato; "θ" chee mothee moolye anukaranacha veg vadhavtat parantu tyachi achookata qamee karatat. jarr "θ" = 0 asel, tarr konatyahi antargat nodala ekach bhag manale jaat nahee aanee algoridam thet-berries algoridammadhe rupantarit hoto.

