4-ma’ruza qattiq jismning aylanma harakati

Albatta x1 - x2 ayirmasi quyosh va yer orasidagi masofa d ga teng bo’ladi

To simplify the computation let's define our coordinate system such as its origin coincides with the center of the Sun.

H isoblanishlarni soddalashtirish uchun Quyosh markaziga mos keluvchi koordinata sistemasini aniqlaylik.
We can also use an abbreviated notation to write equations for systems with more than two particles.
Ikkijismdanko’proqjismlarsistemasiniog’irlikmarkazinitopishuchuntenglamayozishdaqisqartirilganbelgidanfoydalanishimizmumkin.
; ; ,
Shuni ta’kidlab o‘tish kerakki, tizimning inertsiya markazi uning og‘irlik markazi bilan ustma-ust tushishi kerak;
3. Moddiy nuqtalar tizimi inertsiya markazining radius- vektoridan vaqt bo‘yicha birinchi tartibli hosila olinsa, inertsiya markazining tezligi kelib chiqadi:
,
buyerda, ekaninihisobgaolsak:
,

bunda tizimningimpulsibo‘lib, tizimdagimoddiynuqtalarimpulslarininggeometrikyig‘indisigateng

(8.5) – ifodadan moddiy nuqtalar tizimining impulsi quyidagiga teng bo‘ladi:

He defined the linear momentum , p, as the product of an object’s mass , m, and its velocity , v.
P harakatgakeltiruvchikuchningchizig’ini , m jismningmassasini , vesajismningtezliginibildiradi.
Note that in this section, we use the term momentum to refer to linear momentum.
Eslatma, buqismda biz harakatgakeltiruvchikuchchizig’initushuntirishdaharakatgakeltiruvchikuchterminidanfoydalanamiz.

Now let`s look at each type of collision separately and find the final velocity of the objects .
Endito’qnashishnialoxidavaobyektlarningoxirgitezliginitopamiz
,
Bu nihoyatda katta ahamiyatga ega bo‘lgan xulosani keltirib chiqaradi: tizim nuqtalarining hamma massalari, uning inertsiya markaziga to‘plangan holda harakatlanganda, ularning markazga to‘plangan umumiy impulslari qanday bo‘lsa, tizimning to‘la impulsi ham shunga teng bo‘ladi.
Shuninguchuntizimningimpulsigauninginertsiyamarkaziningimpulsi ham deyiladi.Tiziminertsiyamarkaziningimpulsini (8.7) ifodagaasosanquyidagichaifodalashmumkin:

Because of conservation of momentum the total initial and final momentums equal each other .Ajralishtufaylidastlabkiumumiy moment boshlang’ichmomentlarningharbirigatengbo’ladi.

Factoring out the masses, we obtain equation 1.