ɬɨɥɶɤɨ ɜ ɩɟɪɟɫɟɤɚɸɳɢɟɫɹ ɢɧɬɟɪɜɚɥɵ ɜɪɟɦɟɧɢ
T
1
ɢ
T
2
&
ɤɨɝɞɚ ɩɪɨɢɫɯɨɞɢɬ
ɫɤɚɧɢɪɨɜɚɧɢɟ ɜ ɩɪɟɞɟɥɚɯ ɡɚɞɚɧɧɨɝɨ ɩɨɥɹ
(
ɂɡ ɮɨɪɦɭɥ
"+#
ɢ
",#
ɫɥɟɞɭɟɬ
&
ɱɬɨ ɜ ɩɪɟɞɟɥɚɯ ɷɬɢɯ ɢɧɬɟɪɜɚɥɨɜ ɤɨɨɪɞɢɧɚɬɵ ɫɞɜɢɝɚ
x
V
ɢ
y
V
ɥɢɧɟɣɧɨ
ɡɚɜɢɫɹɬ ɨɬ ɜɪɟɦɟɧɢ
t
(
ɋɥɟɞɨɜɚɬɟɥɶɧɨ
&
ɩɪɢ ɜɵɛɪɚɧɧɨɦ ɦɟɬɨɞɟ ɨɩɢɫɚɧɢɹ
ɫɢɝɧɚɥɚ ɜ ɬɪɚɤɬɟ Ɉɗɉ ɫɤɚɧɢɪɭɸɳɟɝɨ ɬɢɩɚ ɧɟɨɛɯɨɞɢɦɨ ɭɱɢɬɵɜɚɬɶ ɬɨ
&
ɱɬɨ ɚɦɩɥɢɬɭɞɧɚɹ ɦɨɞɭɥɹɰɢɹ ɫɢɝɧɚɥɚ ɨɫɭɳɟɫɬɜɥɹɟɬɫɹ ɩɨ ɤɚɠɞɨɣ ɢɡ ɤɨ
'
ɨɪɞɢɧɚɬ ɫɞɜɢɝɚ
x
V
ɢ
y
V
ɩɪɢ ɫɤɚɧɢɪɨɜɚɧɢɢ
(
ɉɨɷɬɨɦɭ ɦɨɞɭɥɢɪɭɸɳɭɸ
ɮɭɧɤɰɢɸ
m
(
t
)
ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɜ ɜɢɞɟ ɩɪɨɢɡɜɟɞɟɧɢɹ ɦɨɞɭɥɢɪɭɸɳɢɯ
ɮɭɧɤɰɢɣ
m
x
(
t
)
ɢ
m
y
(
t
)
4
m
(
t
) =
m
1
¡
x
V
(
t
)
, y
V
(
t
)
¢
=
m
x
(
t
)
m
y
(
t
)
,
(
2
)
ɝɞɟ
m
x
(
t
) =
μμ
l_]n
μ
t
T
1
¶
k
1
T
]
]ig\
μ
t
T
]
¶¶
l_]n
μ
t
T
2
¶¶
k
1
T
ɤ
]ig\
μ
t
T
ɤ
¶
,
m
y
(
t
) =
μμ
l_]n
μ
t
T
2
¶
1
T
]
]ig\
μ
t
T
]
¶¶
k
l_]n
μ
t
T
1
¶¶
k
1
T
ɤ
]ig\
μ
t
T
ɤ
¶
.
"3#
Ɇɨɞɭɥɢɪɭɸɳɢɟ ɮɭɧɤɰɢɢ
m
x
(
t
)
ɢ
m
y
(
t
)
ɨɩɪɟɞɟɥɹɸɬɫɹ ɧɚ ɨɫɧɨɜɟ ɫɨ
'
ɨɬɜɟɬɫɬɜɭɸɳɢɯ ɩɚɪɚɦɟɬɪɢɱɟɫɤɢɯ ɭɪɚɜɧɟɧɢɣ
"+#&
ɨɩɢɫɵɜɚɸɳɢɯ ɡɚɤɨɧ
ɫɤɚɧɢɪɨɜɚɧɢɹ
(
ȿɫɥɢ ɭɱɟɫɬɶ ɚɦɩɥɢɬɭɞɧɭɸ ɦɨɞɭɥɹɰɢɸ ɫɢɝɧɚɥɚ
&
ɬɨ ɫɢɝɧɚɥ ɧɚ ɜɵɯɨɞɟ
ɦɨɞɭɥɹɬɨɪɚ
2
"
ɫɦ
(
ɪɢɫ
( -#
ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɜ ɜɢɞɟ
U
3
(
x
V
, y
V
, t
) =
U
2
(
x
V
, y
V
, t
)
m
1
(
x
V
, y
V
) =
=
Z
a
Z
a
Z
a
Z
a
U
2
(
V
x
~
1
, V
y
~
2
, t
)
l_]n
μ
~
1
T
1
¶
1
T
]
]ig\
μ
t
1
a
~
1
T
]
¶
×
×
l_]n
μ
t
1
T
2
¶
1
T
ɤ
]ig\
μ
t
a
t
1
T
ɤ
¶
d~
1
dt
1
l_]n
μ
~
2
T
2
¶
×
×
1
T
]
]ig\
μ
~
2
T
]
¶
l_]n
μ
t
2
a
~
2
T
1
¶
1
T
ɤ
]ig\
μ
t
a
t
2
T
ɤ
¶
d~
2
dt
2
.
"+*#
ɋɢɝɧɚɥ ɧɚ ɜɵɯɨɞɟ Ɉɗɉ ɮɨɪɦɢɪɭɟɬɫɹ ɧɚ ɷɤɪɚɧɟ ȼɄɍ ɬɟɥɟɜɢɡɢɨɧ
'
ɧɨɝɨ ɬɢɩɚ ɜ ɩɪɨɰɟɫɫɟ ɦɨɞɭɥɹɰɢɢ ɜɢɞɟɨɫɢɝɧɚɥɨɦ
"+*#
ɩɥɨɬɧɨɫɬɢ ɬɨɤɚ
ɩɭɱɤɚ ɷɥɟɤɬɪɨɧɨɜ
&
ɮɨɤɭɫɢɪɭɟɦɵɯ ɧɚ ɷɤɪɚɧɟ ɢ ɜɵɡɵɜɚɸɳɢɯ ɟɝɨ ɫɜɟɱɟ
'
ɧɢɟ
(
ȼ ɥɢɧɟɣɧɨɦ ɩɪɢɛɥɢɠɟɧɢɢ ɹɪɤɨɫɬɶ ɫɜɟɱɟɧɢɹ ɷɤɪɚɧɚ ɨɩɪɟɞɟɥɹɟɬɫɹ
ɤɨɷɮɮɢɰɢɟɧɬɨɦ ɩɟɪɟɞɚɱɢ
S
ȼɄɍ
&
ɚ ɪɚɫɩɪɟɞɟɥɟɧɢɟ ɷɧɟɪɝɢɢ ɜ ɩɹɬɧɟ ɪɚɫɫɟ
'
ɹɧɢɹ ɧɚ ɷɤɪɚɧɟ ɨɩɢɫɵɜɚɟɬɫɹ ɩɪɨɫɬɪɚɧɫɬɜɟɧɧɵɦ ɢɦɩɭɥɶɫɧɵɦ ɨɬɤɥɢɤɨɦ
2 CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+
