
chararashi vyavastha

mechanicslo, variable-maas vyavastha anedi padaartham yokka sekarana, dheeni dravyarashi kaalamtho paatu maarutuu untundi. atuvanti vyavasthaku neerugaa neuton yokka rendava chalana niyamanni vartimpajeyadaaniki prayatninchadam gandaragolamgaa undavacchu. badulugaa, dravyarashi yokka "m" yokka samaya aadharapadataanni neuton yokka rendava niyamanni punarvyavastheekarinchadam dwara mariyu vyavasthaloki pravesinchadam ledhaa vadiliveyadam dwara dravyarashi momentum kosam oka padaanni jodinchadam dwara lekkinchavacchu. chararashi-dravyarashi kadalika yokka saadhaarana sameekaranam ilaa vraayabadindi
ikkada fext anedi sareerampai nikara bahya shakti, well anedi sareeram yokka dravyarashi kendraaniki sambandhinchi tappinchukune ledhaa vachhe dravyarashi yokka saapeksha vegam, mariyu v anedi sareeram yokka vegam. rocketla yaantrika shaastramtho vyavaharinchae jyotishyashaastramlo, "v" rile anae padaanni tarachugaa prabhaavavantamaina nishkramana vegam anie pilustaaru mariyu "v" e "anie suuchistaaru. 
utpannam.
dravyarashi oka vastuvu loki pravesistundaa ledhaa anae daanipai aadharapadi, chararashi-dravyarashi vyavastha chalana sameekaranaaniki vividha utpannaalu unnaayi (maroe maatalo cheppalante, kadile vastuvu yokka dravyarashi varusaga perugutondaa ledhaa taggutonda). gananalanu saralikrutam cheyadaaniki, anni sareeraalu kanaalugaa pariganinchabadataayi. dravyarashi anedi vruddhi/kshaya sanghatanala velupala sareerampai bahya saktulanu vartimpajeyalekapoyindani kooda bhaavinchabadutundi.
saamuuhika perugudala.
dravyaraasini (vruddhi) pondutunna sariiraaniki eee krindi utpannam. samayam-maarutunna dravyarashi "m" yokka oka sareeram prarambha samayam "t" vadda v vegamtho kadulutundi. adhe kshanamlo, dravyarashi dm yokka kanamu bhoomiki sambandhinchi vegamtho kadulutundi. prarambha vegaanni ilaa vraayavacchu
ippudu "t" + d "t" samayamlo, pradhana vastuvu mariyu kanamu rendoo v + dv vegam gala vastuvu loki cheranivvandi. eee vidhamgaa vyavastha yokka kotta vegaanni ilaa vraayavacchu
d "m" dv anedi rendu chinna viluvala yokka utpatti kabatti, dheenini vismarinchavacchu, antey d "t" samayamlo vyavastha yokka vegam maarutuu untundi
anduvalla, neuton yokka rendava chattam prakaram
u-v anedi "m" kii sambandhinchi d "m" yokka vegam anie, idhi vrel gaa soochinchabadutundani gamaninchinappudu, eee tudi sameekaranaanni ilaa amarchavacchu
maas ablation/ajection.
oka pradhana sareeram nundi dravyaraasini bayataku pampe ledhaa tolaginche vyavasthalo, utpannam koddigaa bhinnamgaa untundi. t" samayamlo, oka dravyarashi "m" anedi v vegamtho prayaninchanivvandi, antey vyavastha yokka prarambha vegam
bhoomiki sambandhinchi ablated maas dm yokka vaegamgaa u nuu bhaavisthe, oka samayamlo "t" + d "t" vyavastha yokka momentum avutundi.
ikkada u anedi bhoomiki sambandhinchi bayataku teesina dravyarashi yokka vegam, mariyu ablated dravyarashi dravyaraasiki vyatiraeka disalo kadulutundi kabatti pratikuulamgaa untundi. anduvalla d "t" samayamlo vyavastha yokka vegam maarutuu untundi
dravyarashi "m" kuu sambandhinchi ablated maas yokka saapeksha vegam vrasinatluga vraayabadutundi
anduvalla, vegamlo maarpunu ilaa vraayavacchu
anduvalla, neuton yokka rendava chattam prakaram
anduvalla, tudi sameekaranaanni ilaa amarchavacchu
roopaalu.
tvaranam yokka nirvachanam prakaram, a = dv/d "t", kabatti chararashi-dravyarashi vyavastha chalana sameekaranaanni ilaa vraayavacchu
kanaalugaa pariganinchabadani sariiraalaloo a anedi ACM dwara bharti cheyabadaali, antey vyavastha yokka dravyarashi kendram yokka tvaranam,
tarachugaa ottidi kaaranamgaa vachhe shakti suutram _ 16 gaa nirvachinchabadutundi, tadwara
eee roopam oka vastuvu meeda bahya saktulu panicheyakapoyina (fext = 0) ottidi kaaranamgaa tvaranam kaligi undavacchani choopistundi. chivaraku gamaninchandi, fనెట్ anedi fext mariyu fithrust yokka mottamgaa undaniste, appudu sameekaranam neuton yokka rendava chattam yokka saadhaarana roopaanni tirigi pondutundihi
aadarsha rockett sameekaranam.
aadarsha rockett sameekaranam ledhaa siyolkovsky rockett sameekaranaanni rockett laaga pravartinche vaahanaala kadalikanu adhyayanam cheyadaaniki upayoginchavacchu (ikkada oka vastuvu daani dravyaraasilo kontha bhaganni, oka chodakaanni, adhika vegamtho bayataku teeyadam dwara tananu taanu vegavantam chesukuntundi). dheenini chararashi-dravyarashi vyavasthala kosam chalana saadhaarana sameekaranam nundi eee krindi vidhamgaa pondavachuhu bahya saktulu oka sareerampai panicheyakapothe (fext = 0) chararashi-dravyarashi vyavastha chalana sameekaranam taggutundi.
velikiteesina chodakamu yokka vegam, vrel, rockett yokka tvaranam vale vyatiraeka disalo undani bhaavinchinatlayithe, dv/d "t", eee sameekaranaaniki samaanamaina scalarnu ilaa vraayavacchu
dheeni nundi dii "tii" nuu ivvadaaniki raddu cheyavachu
chararaasula vibhajana dwara samaikyata istundi
δ "v" = "v" 1-"v" 0 nuu tirigi amarchadam dwara, aadarsha rockett sameekaranam yokka praamaanika roopaaniki cherukuntundihi
ikkada "m" 0 anedi propellenttho sahaa prarambha mottam dravyarashi, "m" 1 anedi tudi mottam dravyarashi, "v" anedi prabhaavavantamaina nishkramana vegam (tarachugaa "v" e "gaa suuchimchabadutumdi), mariyu δ" v "anedi vahanam yokka vegam yokka garishta maarpu (bahya saktulu lenappudu).

