ญหาหลายว, ตถ, หร, ญหา, ตถ, งกฤษ, body, problem, อการหาผลส, บเน, องของการเคล, อนท, ในว, ชากลศาสตร, งเด, จากค, ากำหนดได, แก, ตำแหน, งเร, มต, มวล, และความเร, วของว, ตถ, หลายช, หร, อเร, ยกว, ตถ, วอย, างของได, แก, กฎการเคล, อนท, ของน, วต, และ, กฎแรงโน, มถ, วงของน, . pyhahlaywtthu hrux pyha n wtthu xngkvs n body problem khuxkarhaphlsubenuxngkhxngkarekhluxnthiinwichaklsastrdngedim cakkhakahndidaek taaehnngerimtn mwl aelakhwamerwkhxngwtthuhlaychin hruxeriykwa wtthu n chin twxyangkhxngpyhahlaywtthuidaek kdkarekhluxnthikhxngniwtn aela kdaerngonmthwngkhxngniwtnsmkarkhnitsastrkhxngpyha n wtthu aekikhpyha n wtthukhxngklsastrthxngfaodythwipepnpyhakhatngtnkhxngsmkardifefxernechiylpkti emuxkahndkhatngtntaaehnng q j 0 displaystyle mathbf q j 0 aelakhwamerw q j 0 displaystyle dot mathbf q j 0 khxngxnuphakh n j 1 n odythi q j 0 q k 0 displaystyle mathbf q j 0 neq mathbf q k 0 sahrbthuk kha j and k thiaetktangkn caidphllphthxndbthisxng second order khxngrabbepndngni m j q j g k j m j m k q k q j q k q j 3 j 1 n 1 displaystyle m j ddot mathbf q j gamma sum limits k neq j frac m j m k mathbf q k mathbf q j mathbf q k mathbf q j 3 j 1 ldots n qquad qquad qquad 1 odythi m 1 m 2 m n displaystyle m 1 m 2 ldots m n epnkhakhngthiaethnmwlkhxngcudaethnmwl n aela q 1 q 2 q n displaystyle mathbf q 1 mathbf q 2 ldots mathbf q n epnfngkchnewketxr 3 mitikhxngtwaeprewla t thibngchithungtaaehnngkhxngcudaethnmwl hakaesdngxyangngay smkarnikkhux kdkarekhluxnthikhxngniwtnkhxthisxng dansaykhxngsmkarkhuxxtraerng mwl ewla khxngxnuphakhtwthi j swnthangdankhwakhxngsmkarepnphlrwmkhxngaerngthnghmdthikrathatxxnuphakhnn inthinismmutiwaaerngthikrathatxxnuphakhkhuxaerngonmthwng emuxphicarnadwykdaerngonmthwngsaklkhxngniwtn aerngnicungaeprphnodytrngtxprimanmwlthiekiywkhxng aelaaeprphkphnepnkalngsxngkbrayahangrahwangmwlaehlngkhxmulxun aekikhThree Body Problem at Scholarpedia More detailed information on the three body problem Archived 2002 10 17 thi ewyaebkaemchchin Regular Keplerian motions in classical many body systems Archived 2005 08 24 thi ewyaebkaemchchin Applets demonstrating many different three body motions Archived 2005 12 18 thi ewyaebkaemchchin On the integration of the n body equations Archived 2016 10 30 thi ewyaebkaemchchin Artistic flash simulation of the n body problem depicting a fictitious solar system A java applet to simulate the 3 d movement of set of particles under gravitational interaction Archived 2009 01 08 thi ewyaebkaemchchin Javascript Simulation of our Solar System Archived 2009 06 30 thi ewyaebkaemchchin bthkhwamekiywkbfisiksniyngepnokhrng khunsamarthchwywikiphiediyidodyephimkhxmul duephimthi sthaniyxy fisiks ekhathungcak https th wikipedia org w index php title pyhahlaywtthu amp oldid 9573712, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,
