Copyright - Karim A. Khaidarov, November 1, 2003.

.

[1] - , , - , , , [2,3], - , , , .

, [2,3]. , .

[2] - "", - . , , - , .

- . - -.

-, .

. . , [3].

, . , - .

, .

Ig = 861c2 / h [ kg-1 s-1 ],

h - ,
      861 - - [3],
      c - .

, , , , . () . . " ".

, , , :

φo = co2[m2s-2],

(1)

0 - , .

:

[s-2],

(2)

γ - [m3 kg-1 s-2],

- [kg/m3].

( ) :

[m s-2],

(3)

i, j, k - .

(2) :

[m2 s-2],

(4)

r - dV.

, , :

[kg m s-2],

(5)

F - ,
      γ -
[m3 kg-1 s-2)],
      m1 , m2 - [kg],
      r - [m],
      H - [s-1],
      t = r/c - [s].

(5) , , .

, . , (3). , , , ,

Iv = 861V2 / h [ kg-1 s-1 ],

V - , .

10-8 , +20 - 40 /.

, , , , . 10-4 .

, , , . , "" . .

, , .1. , ( .

.1. "" .

"" , - . .

, ? .1b, .1c.

( ) . , "" b1, (.1c) , , b2, - ( - ).

" "

mapp = ms / (1-V/c) [kg]

(6)

mapp - () ;
      ms - .
      V -
      ("+" "-" );
      c - .

, , (5) .

[kg m s-2],

(7)

. 10-3 , (7) 10-6. , , . , , .

, . :

[m s-2],

M - .

, ( ) 10-3 . , , . , .

. .

, , , . . .

, , (4).

?

1. (3) . ,

dWk = m g dS= m (dV/dt) Vdt = m VdV ; Wk = mV2/2 [kg m2 s-2].

2. , ,

dWp = - m g dH = - m (dV/dt) Vdt = - m VdV ; Wp = - mgH = - mV2/2 [kg m2 s-2].

3. , - , , , . .

4. , . , . , . , .

Wm = Wp + Wk = const. [kg m2 s-2].

(8)

, .. , - . . , (4). , , :

Wm = mV2II / 2 = mVI 2

, c2.

. Wm = 0. , Wm < 0. (8) m, :

Wm / m = V2 / 2 + gH = φ - φo = -VII2

?

, . , , . , . . 425 72 kg Wp = 72 kg 425 m 9.8 m/s2 =300000[kg m2/s2]. 5 , 10. , , , .. .

-, . ? - .

( ), , / , , .

, - . [2,3] , "" , .

, . - (2)

(φ) = g / R = VII2 / 2R2 = VI2 / R2 [1/s2],

(9)

∆ - ();
      g - ( );
      VI - ;
      VII - ;
      R - .

[2,3] , (9), .

,

Kpe = Nkg mVII , [vac]

(10)

Nkg - 1 [vac/kg] ;
      m - [kg] ;
      VII - ( ) [m/s].

, , - , , [4]. , , . , " ".

.

-2

a = dV/dt [m s-2]

V - [m s-1];

t - [s].

"" , , , , -. [m/s2] , [km/s]. , . , .

Ѹ, , -

a = Vω = V2/r [m s-2]

ω = V/r - [s-1];

r - [m].

. , , , .

, , , , , .

, ( ;-) , , . , , , .

? - , . "", .

--

, , (2) (9),

g = VI2/R [m s-2]

VI - [ m s-1];

R - [m].

, , . , . . , ( .., .., .. [5-10] ), - , . , - , .

, .

.
[ / kg] . (.2).

.2. --. (Igx - , Ixy - )

- . - . - . - , . , .

, , - , .

F = m dV/dt = mV2/R [kg m s-2]

(11)

m - ;
      dV/dt - ;
      V - ( );
      R - .

, , , , (11),

[vac m/s],

k - ( [vac/kg] ),
.

.2 .

.2. () (1 - - , 2 - , 3 - ).

,

Nge = me Ige = me861c2 / h = 9.109 10-31 861 9 1016 / (6.626 10-34) = 1.0641023 [grav/s]

1

NgE = Nge ME / me = 5.96 10 24 1.0641023 / 9.109 10-31 = 6.962 1077 [grav/s]

NgEM = NgE TM = 6.962 1077 29.53 86400 = 1.776 1084 [grav]

(9) -:

DEM = cos(2α) gM / RM = cos(2α) 3.319∙10-5 / 3,844∙108 = cos(2α) 8.634 ∙10-14 [s-2],

(12)

DES = cos(α) gS / RS = cos(α) 5.903∙10-3 / 1,496∙1011 = cos(2α) 3.946 ∙10-14 [s-2],

(13)

α - ,
      -;
      g - ;
      R - .

(12) (13) 2 3.

(12) (13), , , , , 1 .

, -. ( )

Wka = ME(VM MM / ME)2/2 = (1.023 1037.35 1022)2 / (2 5.96 1024) = 4.743 1026 [kg m2/s2]

ME - ; MM - ; VM - .

mk = Wka / c2 = 4.743 1026 / (2.998 108)2 = 5.28 109 [kg],

5.28 109 / 5.9610 24 = 8.854 10 -16 .

, - " ", . , , . NgEM = NvEM.

.

(10) (12), - , (. , 1), 1 :

Nkg =NgEMVEM / (md VII2) =

= 1.7761084 8.634 / (5.2 5.28 10 9 1.1173 10 4 ) = 5.01 1070 [vac/kg]

,

NE = Nkg ME = 5.01 10 70 5.9610 24 = 2,987 1095 [vac]

(12)

Tg = NE / NgE = 2.987 1095 / 6.962 1077 = 4.29 10 17 [s] = 13.6 109 []

, "" , . , , 1/H ( ).

, , : -20" 22-28 -5" 5-8 (.3).

. 3.

( - , -
, -
)

, , , ( ), ( ), .

1.

 

1

[sec]

-7.687

+12.760

+5.832

div grad [s-2]

5.201

8.634

3.946

[km s-1]

VEE=-11.173

VEM = +18.559

VES = +8.482

, , , ().

"", , [3].

[2] , , , .

--

γ 7 6.67332+0.000027, 1 5 γ = 6.67179+0.000013 [5-10]. . 4 . , . (.3), , 3 2.

.4
( G 66 )

, ,

∆γt = + 6.2 10-15 [m3 kg-1 s-2]; ∆γr = + 3.0 10-15 [m3 kg-1 s-2].

390+30 / (""), .

5 , , 10 [kg/dm3]. "" .

. 5. .
(1 - 2.8 [kg/dm3], 2 - 5.5 [kg/dm3], 3 - 10 [kg/dm3], 4 - , 5 - , , 6 - ).

, [9], , 6.

. 6. .

. . , .

, , , . , "" .

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, .

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  1. .. . - , 2003.
  2. .. . - , 2003.
  3. .. . - , 2003.
  4. .., .. , , 1947.
  5. .., .., .., .., .. . , 10, (1993), .3-5.
  6. .., .., .. . . , 2, (1992), .91-101.
  7. .., .., .., .., . , (. ..), ., - , (1987), .102-126.
  8. .., .., .., . 21 . ., (1992), 25 .
  9. .., .. . , 10, (1996), .3-9.
  10. .., .., .. . . 1/2 1999. . 20-26.


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