12_3

4
1 1 1 2 2 ا اا ا و ور ا ار ا اI . اﻟﺤﺮﻛﺔ اﻟﺪاﺋﺮﻳﺔ اﻟﻤﻨﺘﻈﻤﺔ اﻟﻤﻌﻠﻤﺔ ﻳﻤﻜﻦ ﻣﻌﻠﻤﺔ ﻧﻘﻄﺔ ﻓﻲ ﺣﺮﻛﺔ داﺋﺮﻳﺔ ﺑﺜﻼث ﻃﺮق: اﻹﺣﺪاﺛﯿﺎت اﻟﺪﻳﻜﺎرﺗﯿﺔ(x,y) ﺑﺤﯿﺚ: CM xi yj اﻷﻓﺼﻮل اﻟﻤﻨﺤﻨﻲ اﻟﻘﻮس: 0 s MM اﻷﻓﺼﻮل اﻟﺰاوي اﻟﺰاوﻳﺔ: 0 θ (CM ,CM) اﻟﻌﻼﻗﺎت اﻟﺘﻲ ﺗﺮﺑﻂ ﺑﯿﻨﮫﺎ ھﻲ: rad x rcosθ y rsinθ s rθ اﻟﺴﺮﻋﺔ اﻟﺘﺴﺎرع اﻟﺪور اﻟﺴﺮﻋﺔ اﻟﺨﻄﯿﺔds v dt اﻟﺴﺮﻋﺔ اﻟﺰاوﻳﺔdθ ω dt اﻟﻌﻼﻗﺔ ﺑﯿﻨﮫﻤﺎv rω ﺗﻌﺘﺒﺮ ﺣ ﺮﻛﺔ ﻧﻘﻄﺔ داﺋﺮﻳﺔ و ﻣﻨﺘﻈﻤﺔ إذا ﻛﺎن: ﻣﺴﺎرھﺎ داﺋﺮﻳﺎ، و ﻗﯿﻤﺔ ﺳﺮﻋﺘﮫﺎ اﻟﻠﺤﻈﯿﺔ ﺛﺎﺑﺘﺔ. ﺗﻌﺮﻳﻒ ﻓﻲ ﻣﻌﻠﻢ ﻓﺮﻳﻨﻲ ھﻮ ﺗﻌﺒﯿﺮ ﻣﺘﺠﮫﺔ اﻟﺴﺮﻋﺔ اﻟﻠﺤﻈﯿﺔ: v vu وھﻲ ﻟﯿﺴﺖ ﺛﺎﺑﺘﺔ ﻷن اﺗﺠﺎھﮫﺎ ﻳﺘﻐﯿﺮ. ﺗﻌﺒﯿﺮ ﻣﺘﺠﮫﺔ اﻟ رع ﻓﻲ ﻣﻌﻠﻢ ﻓﺮﻳﻨﻲ ھﻮ: 2 2 v a n rω n r ﻓﻲ ﺣﺮﻛﺔ داﺋﺮﻳﺔ و ﻣﻨﺘﻈﻤﺔ ﺷﻌﺎﻋﮫﺎr و ﺳﺮﻋﺘﮫﺎv ﻣﺘﺠﮫﺔ اﻟﺘﺴﺎرع اﻧﺠﺬاﺑﯿﺔ ﻣﺮﻛﺰﻳﺔ ﻓﻲ ﻛﻞ ﻟﺤﻈﺔ، و ﻗﯿﻤﺘﮫﺎ: 2 v a r . ﺧﺎﺻﯿﺔ اﻟﺤ ﺮﻛﺔ اﻟﺪاﺋﺮﻳﺔ و اﻟﻤﻨﺘﻈﻤﺔ ﻇﺎھﺮة دورﻳﺔ و دورھﺎ ﻳﺴﺎوي ﻣﺪة دورة واﺣﺪة، و ﺗﻌﺒﯿﺮه ھﻮ: 2πr T v ω ﺧﺎﺻﯿﺔ

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  • 1 2211

    .I

    :

    j y ix MC: )y,x(

    M M s0: :

    )MC, MC( 0

    : dar

    socr xnisr y

    r s

    sdv

    td

    d td

    r v

    : .

    u v v:

    .

    : 2

    n r n av2r

    v r

    : v2

    ar

    .

    : T2 r2

    v

  • 2 21

    G m

    : v2

    n Fr

    m

    .II

    (relpeK)

    :

    .

    .

    ( )

    : ak T3 2

    . : -

    :

    2S

    PSM m

    u G Fr

    : 2

    n G FM mSr

    . MS m

    S2: M

    n G ar

    .

    v r m G F

    :

    (GC ) (C )

    : v2

    Fr

    .( v m) m

    v

    F

    :

    2 /B A

    BA B Am m

    u G FBA

    .I.S 11-01.76,6 = G: G

  • 3 21

    : - 2

    v

    ar

    vM GS r

    Tr 2 : - v

    3

    2S

    rT

    M G

    4 2 2 3 23 S

    rT r k T

    M G

    . .III

    .

    : 2

    TST

    M mu G F

    r

    : 2

    n G FM mTr

    . MT m :

    2n G aMT

    r

    .

    vM GT h R r h R

    . h R ) (3

    2T

    h RT

    M G

    :

    .

    : s s h T 461 68 4 nim 65 32

    21

    32

    ) (4

    000 63

    R hM G TT

    mk h

  • 4 21

    (8002 )

    . .

    . h 1002 01 . 41 )S(

    . . )S( . )S(

    :2-s.m 8,9 = 0g: .I.S 11-01.76,6 = G:

    s 461 48 = T: mk 0536 = Tr: mk 000 1 = h: )S(

    1 -1

    )S( vS .)S(

    .)S( -2 .)S( -3 :)S( -4

    -1.4 . Tr h 0g Sv -2.4

    .gk 4201.6 TM: -5. -6 )'S( -7

    . . )'S( z etc z rT) (3 2: -1.7 .z -2.7

    .

    12

    I.

    :

    :

    :

    :

    :

    12

    m G :

    II.

    (Kepler)

    :

    .

    .

    ( )

    :

    .

    1- :

    :

    :

    .

    :

    .

    12

    2- :

    3- :

    (

    .

    III.

    .

    (

    :

    :

    .

    :

    .

    R h .

    (

    :

    .

    :

    12

    ( 2008 )

    . .

    10 2001 h .

    (S) 14 .

    (S) . .

    (S) .

    (:

    : G = 6,67.10-11 S.I. : g0 = 9,8 m.s-2

    : rT = 6350 km : T = 84 164 s

    (S) : h = 1 000 km

    1- 1

    (S)

    (S) .

    2- (S) .

    3- (S) .

    4- (S) :

    4.1-

    4.2- vS g0 h rT .

    5- : MT ( 6.1024 kg.

    6- .

    7- (S')

    .

    7.1- :

    (S') .

    7.2-

    .

    .

    :

    .

    : EMBED Equation.DSMT4

    .

    : EMBED Equation.DSMT4

    r v

    : EMBED Equation.DSMT4 .

    :

    EMBED Equation.DSMT4

    EMBED Equation.DSMT4

    G m r v EMBED Equation.DSMT4 :

    ( CG)

    ( C)

    : EMBED Equation.DSMT4 ( m v ).

    EMBED Equation.DSMT4

    :

    EMBED Equation.DSMT4

    G : G = 6,67.10-11 S.I.

    PAGE

    3

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