运动学研究如何描述物体的运动以及各运动量之间的关系

m107地球rm1011地球轨道rm100人l物体上任一点都可以代表物体的运动物体上任一点都可以代表物体的运动v车厢的人：车厢的人：地面上的人：地面上的人：xyz0 xyz),(zyxPijk0 x),(rPOx)(trrstene0Ptene0 xyz),(zyxPijkpor k zj yi xrrrzryrxcos,cos,cos222zyxr ktzjtyitxtr)()()()()(txx)(tyy)(tzz kzj yi xr ABArBrrxyz0ABrrr)()(kzjyixkzjyixAAABBBkzzjyyixxABABAB)()()(kzj yi xrAB0BrArssrdsrdsrs trvktzjtyitxkvjvivzyxrAB)(trA)(ttrBrxyz0kzj yi xrtrvt0limkdtdzjdtdyidtdxvdtrdkvjvivzyxBr)(ttrBA0)(trA1B2B3B4B5B6Brd vv 222zyxvvvtevv vvdtrddtdsrB)(ttrBA0)(trArrrdtrdvdtdrdsrd A)(trAB)(ttrBxyz0)(tv)(ttv)(tv)(ttvvttvttva)()(tvtvat0limdtvd22dtrddtr dvkvjvivvzyxk zj yi xr222zyxaaaaa kdtdvjdtdvidtdvazyxkdtzdjdtydidtxd222222kajaiazyx vdvdtvdvj tRitRrsin)cos21(av)cos21(tRxtRysin222)2(RyRxdtrdv j tRi tRcossindtvdaj tRi tRsincos22jRvt2iRat22)cos21(tRxtRysinj tRitRrsin)cos21(0av)cossin(j tRi tRav)sincos(22j tRi tR0avj tRi tRvcossinj tRi tRasincos22rvajti tr)219(22j ti42 j4dtrdvdtvdatttrrrjttitt)(219)(22)219(22jti tjti tr)219(22jttti t)24(22trvjtti)24(2jiv22 jiv62 trv2xt 2)2(219xy2192x0vr0)219(442ttt0)42()219(22j tijti ts01ts32ts33ttx22219tyj tiv42 ja4lxyxyOAB222lyx022dtdyydtdxxdtdyxydtdxvxyvxxl22vxdtdxydtdyxdtxd222232vxl222lyxlxyxyOAB 0 xi xr-坐标坐标 (代数量代数量)可表示质点位置可表示质点位置1P1x2P2x)(txx ktzjtyitxtr)()()()()(txx)(tyy)(tzz k zj yi xr)(txxdtdxv dtdva 22dtxddtdva tovvdttadvo)(tdttavv00)(atvv0dtdxv dttvdx)(txxdttvdx0)(0tdttvxx00)(tdtatvxx000)(20021attvxx)(20202xxavvatvv0dtdvxa)(dtdxdxdvdxdvvxxvvdxxavdv00)(xxdxxavv0)(2202)(20202xxavvdtdxxv)(xxtxvdxdt0)(0 xxxvdxt0)(vtxx0dtdva t 2tvtdtdv0022tv 2tdtdxtxdttdx0213311tx2tv dtdxv x21txdtxdx0021tx)21ln(21)1(212tex22dtxda te22dtdva dtdxdxdvdxdvvmxxvvmxdxvdv00220221)(21mxvv220mxvv0vmvx0mvx0220mxvv 0 xy0vxv0yv0gcos0vvxgtvvysin0vtvxcos02021singttvy2220cos2tgxvgxytvxcos02021singttvy tevvtevdtdadtedvedtdvtttteed nenttedeednedtetedteddnetevR0PtenntteaeantedtddtednedtdsdsdneRv nteRvedtdva2ntaaR0netanaatanatentededdtedvedtdvatt22ntaaantaaarctg222RvdtdvtanaanteRvedtdva2anaa0tanteRvedtdv2dtedvedtdvattnntteaeaa1P2Pntevedtdv2 a110220O xAtBtt)(ttt0limdtdtt0limdtd22dtddtdxv 22dtxddtdvaRdds dtdsv dtdvatRvan2xOdsRddtdRRdtdRR2RnteRvedtdva2 t0t020021tt02022atvv0)(20202xxavv20021attvxxtvxx0dtddtdxv dtddtdva Rat22dtdR2sm2Ran2Rdtd2)(Rt2)2(22sm4 t222)4(22taat21443ts931.012t1)931.0(2rad867.11v2vRvan2dtdvatdtdvRv2dsdvvvdvRdsR1v2vs210vvsvdvRds12lnvvRsRsevv12R1v2vsu y xOAyxO球对车车对地球对地rrr yuBAC球对地r车对地r球对车rr r0r0rrr vuv0aaaxzyOK x z yOuK1v2vv21vvv2243 2221vvvm/s5121tgvv43tg1087.361v2vv