ALLJ
4.3 Ỉᖹࣂࢵࢺゅᡴ⌫ࡢᕥྑゅࡢ㛫ࡢ㛵ಀ
Ỉᖹࣂࢵࢺゅᡴ⌫ࡢᕥྑゅࡢ㛫࡛ᚓࡽࢀࡓ┦㛵㛵ಀࡣ㸪ࣂࢵࢺࡢᡴᧁ㠃ࡀࡼࡾࣛ
ࢺഃྥ࠸ࡓࣥࣃࢡࢺ㸪ᡴ⌫ࡶࣛࢺഃᨺࡓࢀ࡚࠸ࡓࡇࢆ♧ࡋ࡚࠸ࡿ (ᅗ ᅗ ࣂࢵࢺࡢᡴᧁ㠃ࢆࣞࣇࢺഃྥࡅ࡚ὶࡋᡴࡕࢆ⾜ࡗࡓヨᢏࡢ┿Dࢫࢸ
ࢵࢡࣆࢡࢳࣕE
(a) (b)
4-1-3)㸬ࡋࡋ㸪୧⪅ࡢ㛵㐃ࡣᙅࡃ(R2= 0.16)㸪ࡤࡽࡘࡁࡀࡁࡗࡓ㸬ࡑࡢഴྥࡋ࡚㸪
ࣇ࣮ࣝࣛࣥ㝿ࡢὶࡋᡴࡕࡣ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆࣛࢺഃࡔࡅ࡛࡞ࡃࢭࣥࢱ࣮ࡸࣞࣇ
ࢺഃྥࡅࡓࣥࣃࢡࢺ࡛ࡶ⾜ࢃࢀ࡚࠸ࡓࡶࡢࡢ㸪ྑ୰㛫᪉ྥࡢὶࡋᡴࡕࡣ㸪ࣂࢵࢺࡢ ᡴᧁ㠃ࢆࢭࣥࢱ࣮᪉ྥྥࡅࡓࣥࣃࢡࢺ㞟୰ࡋ࡚࠸ࡓ㸬ࡍ࡞ࢃࡕࡇࡢ⤖ᯝࡣ㸪Ỉᖹࣂ
ࢵࢺゅࡢࡁࡉࡼࡗ࡚Ỵᐃࡋᚓࡿᡴ⌫᪉ྥࡢ⠊ᅖࡀ㸪ࣛࣥ㝿ࡢᡴ⌫ᗈࡃ㸪ྑ୰
㛫᪉ྥࡢᡴ⌫⊃ࡃ࡞ࡗ࡚࠸ࡗࡓࡇࢆ♧ࡋ࡚࠸ࡿ㸬
4
4.4 ࣥࣃࢡࢺࣃ࣓࣮ࣛࢱࡢࢥࣥࣅࢿ࣮ࢩࣙࣥ
ὶࡋᡴࡕࡀྍ⬟࡞ࡿ3ḟඖⓗ࡞ࣥࣃࢡࢺ᮲௳ࢆᢳฟࡍࡿࡓࡵ㸪ࣥࣃࢡࢺࡢࣂ
ࢵࢺ࣊ࢵࢻࡢ⨨ࢆ⌫㠃ୖࣉࣟࢵࢺࡋࡓ (ᅗ 4-1-5)㸬ࡇࡢᅗࡣ㸪⌫ࡢ୰ᚰࡀࢢࣜࢵࣉ࢚
ࣥࢻ㸪⤒ᗘࡀỈᖹࣂࢵࢺゅ㸪⦋ᗘࡀ㖄┤ࣂࢵࢺゅࢆ♧ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪ྛࣉࣟࢵࢺࡢࢢࣛ
ࢹ࣮ࢩࣙࣥࡀⓑࡽ㯮࡞ࡿ㸪⾪ᧁ⥺ゅᗘࡀࡁࡗࡓࡇࢆ♧ࡍ㸬Ỉᖹࣂࢵࢺゅࡀ ṇ (ࣂࢵࢺࢆࣞࣇࢺഃྥࡅࡓࣥࣃࢡࢺ) ࡢ㸪ࡁ࡞㖄┤ࣂࢵࢺゅࡁ࡞⾪ᧁ⥺ゅ ᗘࢆకࡗࡓࣥࣃࢡࢺࡼࡗ࡚እ㔝ࡲ࡛ᨺࡓࢀࡿὶࡋᡴࡕࢆ⾜ࡗ࡚࠸ࡓ㸬ࡇࢀᑐࡋ㸪Ỉ ᖹࣂࢵࢺゅࡀ㈇ (ࣂࢵࢺࢆࣛࢺഃྥࡅࡓࣥࣃࢡࢺ) ࡢ㸪ẚ㍑ⓗᗈ࠸⠊ᅖࡢ㖄┤ࣂ
ࢵࢺゅ⾪ᧁ⥺ゅᗘࡼࡗ࡚ὶࡋᡴࡕࢆ⾜ࡗ࡚࠸ࡓ㸬ࡇࢀࡽࡢ⠊ᅖࢆᐃ㔞ࡍࡿࡓࡵ㸪ᅗ
4-1-5 ♧ࡉࢀࡿࡼ࠺ฝໟࢆ⏝࠸࡚࡚ࡢࣉࣟࢵࢺࢆໟྵࡍࡿ᭱ᑠࡢฝ㡿ᇦࢆసᡂࡋ㸪
ከゅᙧࡢ㠃✚ࢆ⟬ฟࡋࡓ㸬ࡉࡽ㸪Ỉᖹࣂࢵࢺゅࡀṇࡢሙྜ㸪㈇ࡢሙྜࡑࢀࡒࢀࡢ㠃✚
ࡀ㸪ࣉࣟࢵࢺࡽᚓࡽࢀࡿ㠃✚ࡢఱ%ࡔࡗࡓࡢࢆ⟬ฟࡋࡓࡇࢁ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆ
ࣛࢺഃྥࡅ࡚ࡢὶࡋᡴࡕࡣ㸪యࡢ7ࢆ㉸࠼࡚࠸ࡓ (77.2 %)㸬ᮏ◊✲ࡼࡾᚓࡽࢀ
ࡓࣉࣟࢵࢺࡣࡽ࡞㒊ศࡶᏑᅾࡋࡓࡀ㸪ᴫࡡࡇࢀࡽࡢࣉࣟࢵࢺࢆᅖࡴ࢚ࣜࡀὶࡋᡴࡕ
ྍ⬟࡞ࣥࣃࢡࢺ࢚ࣜࢆ♧ࡋ࡚࠸ࡿࡶࡢ⪃࠼ࡽࢀࡿ㸬ࡑࡢୖ࡛ࣥࣃࢡࢺ࢚ࣜࡢᙧ
╔┠ࡍࡿ㸪ࣂࢵࢺࢆࣞࣇࢺഃྥࡅࡓࣥࣃࢡࢺࡢሙྜ㸪㖄┤ࣂࢵࢺゅࡸ⾪ᧁ⥺ゅᗘ ࡀᑠࡉ࡞ࣥࣃࢡࢺ࡛ࡣᡴ⌫ࡀࢭࣥࢱ࣮ࡸࣞࣇࢺ᪉ྥᨺࡓࢀ㸪Ỉᖹࣂࢵࢺゅࡀ-30 ~
-20rࡢ⠊ᅖ࠾࠸࡚ࡣ㸪㖄┤ࣂࢵࢺゅࡀ 40rࢆ㉺࠼ࡓሙྜ㸪࠸ࡎࢀࡢ⾪ᧁ⥺ゅᗘࡼࡿ
ࣥࣃࢡࢺ࡛࠶ࡗ࡚ࡶࣇ࣮ࣝࢢࣛ࢘ࣥࢻᡴ⌫ࡀᨺࡓࢀࡿணࡉࢀࡿ㸬ࡋࡋ࡞ࡀࡽ㸪 ὶࡋᡴࡕྍ⬟࡞ࣥࣃࢡࢺ࣏ࣥࢺࡣ࢚࡛ࣜᏑᅾࡍࡿࡓࡵ㸪ᢞᡭࢱ࣑ࣥࢢࢆእࡉࢀ
ពᅗࡋࡓỈᖹࣂࢵࢺゅ࡛ࣥࣃࢡࢺࢆ㏄࠼ࡽࢀ࡞ࡃࡶ㸪ࣂࢵࢺ࣊ࢵࢻࡢୖୗືࡸ⾪ᧁ⥺
ゅᗘࡢࢥࣥࢺ࣮ࣟࣝࡼࡗ࡚ὶࡋᡴࡕࢆ⾜࠼ࡿࡇࡀ♧ࡉࢀࡓ㸬ࡲࡓ㸪㖄┤ࣂࢵࢺゅࡣᡴ
⪅ࡢࢫࣥࢢ≉ᛶࡼࡾࡶᢞ⌫ࡉࢀࡓ࣮࣎ࣝࡢࢥ࣮ࢫ (㧗ప) ౫Ꮡࡍࡿࡇࡀ⪃࠼ࡽࢀࡿ
ࡓࡵ㸪㧗ࡵᢞ⌫ࡉࢀࡓ࣮࣎ࣝᑐࡋ࡚ࡣ㸪ࣂࢵࢺࢆࣛࢺഃྥࡅࡓࣥࣃࢡࢺ࡛࡞ࡅ
ࢀࡤὶࡋᡴࡕࡣ⾜࠸㞴࠸ࡇࡀ⪃࠼ࡽࢀࡿ㸬௨ୖࡼࡾ㸪ὶࡋᡴࡕࡣỈᖹࣂࢵࢺゅࡔࡅ࡛࡞
ࡃ㸪㖄┤ࣂࢵࢺゅࡸ⾪ᧁ⥺ゅᗘࡢ⤌ࡳྜࢃࡏࡼࡗ࡚ྍ⬟࡞ࡿࡓࡵ㸪ࢫࣥࢢࡢࢱ࣑
ࣥࢢ㉳ᅉࡍࡿࣂࢵࢺࡢỈᖹゅࡸ㸪㖄┤ゅ࣭⾪ᧁ⥺ゅᗘࡢ࠺ࡕࡢ୍ࡘࢆㄗࡗ࡚ࡶ㸪ࡢᅉ Ꮚࡼࡗ࡚ࣜ࢝ࣂ࣮࡛ࣜࡁࡿࡶࡢ⪃࠼ࡽࢀࡿ㸬
Müller and Loosch (1999) ࡸ Müller and Sternad (2004) ࡣࢲ࣮ࢶࢆ㸪ࢱ࣮ࢤࢵ
ࢺࡢ୰ᚰ㸦Bull㸧ࢆᑕࡿࡣᚲࡎࡋࡶ࣮ࣜࣜࢫ⨨ࡸ࣮ࣜࣜࢫゅᗘࡀ⤫୍ࡉࢀ࡚࠸ࡿᚲせ ࡀ࡞࠸ࡇࢆ㸪ࣥࣉࢵࢺ࢘ࢺࣉࢵࢺࡢ㛫ෆᅾࡍࡿኚືせᅉࡋ࡚௨ୗࡢ3ࡘࢆᥦ
♧ࡋ㸪ᨵၿ⟇ࢆᣦࡋ࡚࠸ࡿ㸬ձࣀࢬࡢపῶ㸦ືసࡢ⢭ᗘࢆカ⦎ࡼࡗ࡚㧗ࡵࡿࡇ㸧㸪 ղㄢ㢟≉᭷ࡢඹኚື㸦ືసࡢࢥࣥࣅࢿ࣮ࢩࣙࣥࡼࡗ࡚࢘ࢺࣉࢵࢺࡢኚືࢆ⦰ᑠࡍࡿࡇ
㸧㸪ճチᐜ⠊ᅖ㸦ⓗࡢࡁࡉ࡞ࢱࢫࢡࡢ㐩ᡂࡣ࠶ࡿ⛬ᗘࡢᖜࡀᏑᅾࡍࡿ㸧࡛࠶ࡿ㸬ᚑ ࡗ࡚㸪ࢱ࣮ࢤࢵࢺࡢチᐜ⠊ᅖ࠸࠺㠃࡛ࡣ㸪ὶࡋᡴࡕࡣ㸪㖄┤᪉ྥࡢⓎᑕゅࢆၥࢃ࡞ࡅ
ࢀࡤ㸪ࣇ࢙ࢢࣛ࢘ࣥࢻෆࡢᕥྑ᪉ྥ3➼ศࡋࡓ࠺ࡕࡢ୍ࡘࡢ࢚ࣜෆᨺࡓࢀࡿࡇ
࡛㐩ᡂࡉࢀࡿ㸬ࡲࡓ㸪࠶ࡿ᪉ྥᡴ⌫ࢆᨺࡘࡓࡵᚲせ࡞ࣥࣃࢡࢺࡣ1㏻ࡾ࡛ࡣ࡞ࡃ
㛗ᛶࢆ᭷ࡍࡿࡓࡵ㸪ㄢ㢟ࢆ㐩ᡂࡋᚓࡿࣥࣃࢡࢺࡢ3ḟඖⓗ࡞ࣂࢵࢺࡢ᪉ࡣ୍ࡘ㝈 ᐃࡉࢀࡿࡶࡢ࡛ࡣ࡞ࡃ㸪࠶ࡿ⠊ᅖཬࡪࡶࡢ⪃࠼ࡽࢀࡿ㸬
ᅗ ⌫㠃ୖࣉࣟࢵࢺࡋࡓࣥࣃࢡࢺࡢࣂࢵࢺ࣊ࢵࢻࡢ ḟඖ᪉㸬⌫ࡢ⤒ᗘࡣỈᖹࣂࢵࢺゅ㸪
⦋ᗘࡣ㖄┤ࣂࢵࢺゅࢆ♧ࡋ࡚࠾ࡾ㸪⌫ࡢ୰ᚰࡣྑୖᅗࡢࡼ࠺ᖖࢢࣜࢵࣉ࢚ࣥࢻ࡞ࡿ㸬
ྛࣉࣟࢵࢺࡢⰍࡣ㸪⾪ᧁ⥺ゅᗘࡀࡁ࡞ࣥࣃࢡࢺ㯮Ⰽ࡞ࡿ㸬 40
20 30
z
-50 -40 -30 -20 -10 10 20 30 40 50
y
10
50 -10 -20 -30 -40 -50
40 35 30 35 20 15 10 5 0 ɽimpact[deg]
x y
ɽH/bat ɽV/bat
Horizontal bat angle [deg]
Verticalbatangle[deg]
4
4.5 ὶࡋᡴࡕࢆྍ⬟ࡍࡿࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒
ࣂࢵࢺࡢᡴᧁ㠃ࢆࢭࣥࢱ࣮ࡸࣞࣇࢺഃྥࡅࡓࣥࣃࢡࢺ࡛࠶ࡗ࡚ࡶ㸪ఱᨾὶࡋᡴࡕࡀ
ྍ⬟࡛࠶ࡗࡓࡢࢆ⪃ᐹࡍࡿ㸬ࡲࡎ㸪ࣂࢵࢺࡢᡴᧁ㠃ࡀࢭࣥࢱ࣮᪉ྥྥࡁ (Ỉᖹࣂࢵࢺ ゅ 0r)㸪ࡘࣂࢵࢺ㛗㍈ࡀỈᖹ㠃ୖ⨨ࡋࡓࣥࣃࢡࢺ (㖄┤ࣂࢵࢺゅ 0r) ࡛࠶ࡗࡓ ሙྜࢆᐃࡍࡿ㸬ࣥࣃࢡࢺ┤๓ࡢࣂࢵࢺࡢ㏿ᗘ࣋ࢡࢺࣝࢆ↓どࡍࡿ㸪ࣥࣃࢡࢺ┤ᚋ ࡢᡴ⌫ࡣࣂࢵࢺ┤ࡍࡿ㠃ୖ࡛ࡢ㐠ືࡳ࡞ࡍࡇࡀ࡛ࡁࡿ㸬௨ୖࢆ㋃ࡲ࠼㸪ࣂࢵࢺࡢ
ୖ㒊࣮࣎ࣝࡀ⾪✺ࡍࡿ㸪ᡴ⌫ࡣࢭࣥࢱ࣮᪉ྥࣛࢼ࣮ࡲࡓࡣࣇࣛࡀ㣕⩧ࡍࡿ(ᅗ
4-1-6a)㸬୍᪉࡛㸪ࡇࡢࣥࣃࢡࢺࢆࣂࢵࢺ࣊ࢵࢻࡀࢢࣜࢵࣉ࢚ࣥࢻࡼࡾࡶୗ⨨ࡋࡓሙ
ྜࢆ⪃࠼ࡿ㸪ࣂࢵࢺ┤ࡍࡿ㠃ࡀ㖄┤ࣂࢵࢺゅྠࡌࡔࡅഴࡃ (ᅗ4-1-6b)㸬ࣥࣃࢡ ࢺ┤ᚋࡢᡴ⌫ࡢ᪉ࢆỈᖹ㠃ᢞᙳࡉࡏࡿ㸪ᡴ⌫ࡣࣛࢺ᪉ྥࣇࣛࡀᨺࡓࢀࡿࡇ
࡞ࡿ㸬ࡍ࡞ࢃࡕ㸪㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅᗘࡀࡁ࡞ࣥࣃࢡࢺᡴ⌫ࡣࣛࢺ᪉ྥ
ᨺࡓࢀࡿࡓࡵ㸪ࢭࣥࢱ࣮᪉ྥࡸࣞࣇࢺ᪉ྥࣂࢵࢺࢆྥࡅࡓࣥࣃࢡࢺ࡛࠶ࡗ࡚ࡶὶࡋ ᡴࡕࡀྍ⬟࡞ࡿ࠸࠺ࡇ࡛࠶ࡿ㸬
ᅗ ὶࡋᡴࡕࢆྍ⬟ࡍࡿ ࡘ┠ࡢࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒㸬D㸸㖄┤ࣂࢵࢺゅ r࡛ࣂࢵࢺ ࡢᡴᧁ㠃ࢆࢭࣥࢱ࣮᪉ྥྥࡅࡓࣥࣃࢡࢺࢆ௬ᐃࡍࡿ㸬ࣂࢵࢺࡢୖ㒊࣮࣎ࣝࡀ⾪✺
ࡍࡿ㸪ᡴ⌫ࡣࢭࣥࢱ࣮᪉ྥࣇࣛࡀᨺࡓࢀࡿ㸬E㸸ྠࡌ≧ἣ࡛㸪ࣂࢵࢺ࣊ࢵࢻࢆୗ
ྥࡁഴᩳࡉࡏࡿ㸪ᡴ⌫ࡣࣛࢺ᪉ྥࣛࢼ࣮㸪ࡲࡓࡣࣇࣛࡀᨺࡓࢀࡿ㸬 (a)
(b)
5
5. ࡲࡵ
ᮏ◊✲ࡢ⤖ᯝ㸪ὶࡋᡴࡕ࠾ࡅࡿᕥྑࡢᡴ⌫ゅᗘࡣ㸪ࣥࣃࢡࢺࡢỈᖹࣂࢵࢺゅࡢࡳ
࡛ࡣㄝ᫂ࡉࢀࡎ㸪㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅᗘࡢ┦స⏝ࡼࡿᙳ㡪ࡶཷࡅࡿࡇࡀ᫂ࡽ
࡞ࡗࡓ㸬ࡇࡢᙳ㡪ࡼࡗ࡚㸪ྑᡴ⪅ࢆᐃࡋࡓሙྜ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆࢭࣥࢱ࣮ࡸࣞࣇ
ࢺ᪉ྥྥࡅ࡚ࣥࣃࢡࢺࡋ࡚ࡶὶࡋᡴࡕࡣ⾜࠼ࡿࡇࡀ♧ࡉࢀࡓ㸬
➨
➨2⠇ ὶࡋᡴࡕࢆྍ⬟ࡍࡿ2ࡘࡢࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒㸸ྛ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ
1. ㅖゝ
๓⠇ࡢ◊✲ࡼࡗ࡚㸪ὶࡋᡴࡕࢆ⾜ࡗࡓ㝿ࡢᡴ⌫ࡢᕥྑゅࡣ㸪ࣥࣃࢡࢺ࠾ࡅࡿỈ ᖹ㠃ୖࡢࣂࢵࢺࡢ᪉ࡔࡅ࡛࡞ࡃ㸪ࣂࢵࢺ࣊ࢵࢻࢆୗྥࡁഴᩳࡉࡏࡿࡇ㸪࣮࣎ࣝࡢ
ୗ㒊ࢆᡴᧁࡍࡿࡇࡢ┦స⏝ࡼࡿᙳ㡪ࡶཷࡅࡿࡇࡀ᫂ࡽ࡞ࡗࡓ㸬ࡑࡇ࡛ᮏ⠇࡛
ࡣ㸪ὶࡋᡴࡕࢆྍ⬟ࡍࡿୖグ2✀㢮ࡢᡴᧁ᪉ἲࡘ࠸࡚㸪ᢞ⌫ᑐࡋ࡚ධᑕゅࢆ⏕ࡌࡉ ࡏࡿࡼ࠺ࣂࢵࢺࡢᡴᧁ㠃ࢆࣛࢺഃྥࡅࡓࣥࣃࢡࢺ㉳ᅉࡍࡿὶࡋᡴࡕࢆ➨1࣓࢝ࢽ
ࢬ࣒ (ᅗ4-2-1) ࡋ㸪ࣂࢵࢺ࣊ࢵࢻࡢୗྥࡁഴᩳ࣮࣎ࣝࡢୗ㒊ࢆᡴᧁࡍࡿࡇࡢ┦స
⏝㉳ᅉࡍࡿὶࡋᡴࡕࢆ➨2࣓࢝ࢽࢬ࣒ (ᅗ4-2-2) ࡋ࡚ࡑࢀࡒࢀᐃ⩏ࡋࡓ㸬
ᐇ㝿ᡴ⪅ࡢ⾜ࡗࡓὶࡋᡴࡕࡘ࠸࡚㸪ྛࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡀᡴ⌫ࡢ᪉ྥࢀࡔ ࡅ㈉⊩ࡋ࡚࠸ࡓࡢࢆ᳨ウࡋࡓ◊✲ࡣࡇࢀࡲ࡛࡞ࡃ㸪ὶࡋᡴࡕࡢ㝿ࡢࡼ࠺࡞᮲௳࡛
ࣥࣃࢡࢺ⾜࠺ࡇࡀ㸪㏿ᗘࡸ㣕㊥㞳ࡢࡁ࡞ᡴ⌫ࡘ࡞ࡀࡿࡢ࠸ࡗࡓලయⓗ᪉⟇ࡣ㸪
᫂ࡽࡉࢀ࡚࠸࡞࠸㸬ࡑࡇ࡛ᮏ◊✲ࡢ┠ⓗࡣ㸪ὶࡋᡴࡕࢆ⾜ࡗࡓ㝿ࡢྛࣥࣃࢡࢺ࣓࢝
ࢽࢬ࣒ࡢ㈉⊩ᗘࡢ⟬ฟ᪉ἲࢆᥦࡍࡿࡇ㸪࡞ࡽࡧ⇍⦎ࡋࡓ㔝⌫㑅ᡭࡢὶࡋᡴࡕᢏ⾡ࡢ
≉ᚩࢆ㸪ྛ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢほⅬࡽ᳨ウࡍࡿࡇࡋࡓ㸬
ᅗ ὶࡋᡴࡕࡢ➨ ࣓࢝ࢽࢬ࣒
Angle of incidence
Angle of reflection
ᅗ ὶࡋᡴࡕࡢ➨ ࣓࢝ࢽࢬ࣒
(a)
(b)
Center line
Center line
Vertical tilt
2
2. ᪉ἲ
2.1 ⿕㦂⪅
⿕㦂⪅ࡣ㸪ᮾிභᏛ㔝⌫࣮ࣜࢢᡤᒓࡍࡿ㑅ᡭ16ྡ (㌟㛗 1.74±0.04 m㸪య㔜 71.8
± 4.5 kg㸪ᖺ㱋 20.6± 1.3 ṓ) ࡛࠶ࡾ㸪ࡇࡢ࠺ࡕྑᡴ⪅12ྡ㸪ᕥᡴ⪅4ྡ࡛࠶ࡗࡓ㸬ࡲ
ࡓ㸪ྛ⿕㦂⪅ࡢ➇ᢏṔࡣ࠸ࡎࢀࡶ9ᖺ௨ୖ࡛࠶ࡗࡓ㸬᪉ἲ࠾ࡼࡧ⤖ᯝ⪃ᐹ࠾ࡅࡿᡴ⪅
ࡢ⾲グࡣ㸪⿕㦂⪅ྑᡴ⪅ࡳ࡞ࡉࢀࡿࡼ࠺ኚࡋ࡚グ㏙ࡋࡓ㸬ᮏᐇ㦂ࡢᐇ࠶ࡓࡾ㸪
᪩✄⏣Ꮫࡢࠕேࢆᑐ㇟ࡍࡿ◊✲㛵ࡍࡿ⌮ጤဨࠖࡼࡿᢎㄆࢆᚓࡓ㸬ࡲࡓ㸪⿕㦂
⪅ࡣᮏ◊✲ࡢ┠ⓗࡸᐇ㦂᪉ἲ࡞ࢆ๓ㄝ᫂ࡋ㸪ᐇ㦂ཧຍࡢ᭩㠃ࡼࡿྠពࢆᚓࡓ㸬
࡞࠾㸪ᮏ⠇ࡢࢹ࣮ࢱࡣ➨1⠇ྠࡌ⿕㦂⪅ࡽ㞟ࡋࡓྠࡌࢹ࣮ࢱࢆ⏝࠸࡚࠸ࡿ㸬
2.2 ᐇ㦂ヨᢏ
⿕㦂⪅ࡣ༑ศ࡞࢛࣮࣑࢘ࣥࢢࢵࣉࢆ⾜ࢃࡏࡓᚋ㸪㔝⌫ሙ࡚ᡴᧁືసࢆ⾜ࢃࡏࡓ㸬
࣮࣒࣮࣍࣋ࢫࡼࡾつᐃࡢ㊥㞳㞳ࢀࡓᆅⅬࡽ㸪ࢻ࣒ࣛᘧ࣐ࢩࣥࢆ⏝࠸࡚◳ᘧ㔝⌫࣮࣎ࣝࢆ
ᢞࡌࡓ㸬ࡑࡢ㝿㸪ᢞࡌࡽࢀࡓ࣮࣎ࣝࡢ㏿ᗘ࣭ゅᗘ࣭ᅇ㌿ᩘࡀᡴ⪅ࡢࣥࣃࢡࢺ࣏ࣥࢺ࡛
୍ᐃ࡞ࡿࡼ࠺タᐃࡋࡓ㸬ࡇࢀࡽࡢᢞ⌫ᑐࡋ࡚㸪ྛ⿕㦂⪅ヨྜྠᵝ࡞ࢫࣥࢢ࡛ὶ ࡋᡴࡕࢆ⾜࠺ࡼ࠺ᣦ♧ࢆ࠼ࡓ㸬࡞࠾㸪ྛ⿕㦂⪅ࡣ⮬㌟ࡢࣇ࢛࣮࣒ࢆᔂࡉࡎὶࡋᡴࡕࡀ
࡛ࡁࡿࢥ࣮ࢫࡢᢞ⌫ࡢࡳᡴᧁࡉࡏࡓ㸬ࡇࡢ࠺ࡕ㸪ᡴ⌫㣕㊥㞳ࡀ40 m௨ୖ㸪ࡘὶࡋᡴ ࡕ᪉ྥࡢࣇ࣮ࣝࣛࣥࡽࢭࣥࢱ࣮ྥࡅ࡚ࡢᡪᙧ 30 ᗘࡢ⠊ᅖෆᨺࡓࢀࡓ࡚ࡢᡴ
⌫ࢆᡂຌヨᢏࡋࡓ (ᅗ4-2-3)㸬ࡇࢀࡽᡂຌヨᢏࢆྛ⿕㦂⪅10ヨᢏศᚓࡽࢀࡿࡲ࡛ᐇ㦂ࢆ
⾜ࡗࡓ㸬࡞࠾㸪ᡂຌヨᢏࢆ10ヨᢏศ㞟ࡍࡿࡲ࡛せࡋࡓᖹᆒヨ⾜ᩘࡣ36.1±15.0ヨᢏ
࡛࠶ࡗࡓ㸬
2
2.3 ࢹ࣮ࢱ㞟
ᡴᧁືస୰ࡢࣂࢵࢺ࣮࣎ࣝࡢᙳࡣ㸪㟁Ẽⓗྠᮇࡉࢀࡓ 3 ྎࡢ㧗㏿ᗘ࣓࢝ࣛ
(Phantom Miro, Vision Research Inc., USA) ࢆ⏝࠸࡚㸪ᙳ㏿ᗘ1000 fps㸪㟢ග㛫0.2 ms㸪⏬㠃ゎീᗘ800600 pixel࡛⾜ࡗࡓ㸬ྛ࣓࢝ࣛࢆᅗ4-2-3ࡢࡼ࠺ᢞᡭ᪉ྥ㸪ᡴ⪅
ࡢഃ᪉㸪ᩳࡵᚋ᪉ࡑࢀࡒࢀタ⨨ࡋࡓ㸬
2.4 ࢹ࣮ࢱฎ⌮
࣮࣒࣮࣍࣋ࢫࡢᚋ➃ࢆཎⅬࡋ㸪Ỉᖹ㠃ୖࡢᢞᡭ᪉ྥྥ࠺࣋ࢡࢺࣝࢆy㍈㸪㖄┤ୖ
ྥࡁྥ࠺࣋ࢡࢺࣝࢆz㍈㸪y㍈z㍈ࢆእ✚ࡉࡏࡓ࣋ࢡࢺࣝࢆx㍈ࡋ࡚㟼Ṇᗙᶆ⣔
(Rxyz) ࢆᐃ⩏ࡋࡓ (ᅗ 4-2-3)㸬࣮࣎ࣝࣂࢵࢺࡢᣲືࡣᙳࡉࢀࡓᫎീࡽ⏬ീゎᯒࢯࣇ
ࢺ࢙࢘ (Frame-DIAS, DKH Inc., Japan) ࢆ⏝࠸࡚ศᯒࡋࡓ㸬࣮࣎ࣝࡢࢹࢪࢱࢬ⨨
Success area (First bounding point)
Camera 1
Camera 2
Camera 3
x z y
30°
40 m Pitching
machine
ᅗ ᐇ㦂タᐃᗙᶆ⣔ࡢᐃ⩏
ࡣ࣮࣎ࣝࡢయ✚୰ᚰࡋ㸪ࣂࢵࢺࡢࢹࢪࢱࢬ⨨ࡣࣂࢵࢺ࣊ࢵࢻࡢ୰ᚰⅬ㸪࡞ࡽࡧࢸ
࣮ࣉࡼࡗ࡚㈞ࡉࢀࡓࣂࢵࢺࡢࢢࣜࢵࣉ࢚ࣥࢻࡽ࣊ࢵࢻྥࡗ࡚0.35 mࡢ⨨
ࡋࡓ㸬ࡇࡢࡢࢹࢪࢱࢬ⨨ࡢ3ḟඖᗙᶆࢆ㸪DLTἲࢆ⏝࠸࡚ྲྀᚓࡋࡓ㸬
ࣥࣃࢡࢺ┤๓ࡢᢞ⌫㏿ᗘ (Vball/pre) ࡣ㸪ࣥࣃࢡࢺ┤๓5ࣇ࣮࣒ࣞ࠾ࡅࡿ࣮࣎ࣝࡢ ኚࡽ⟬ฟࡋࡓ㸬Ỉᖹᢞ⌫ゅᗘ ljH/pitched) ࡣࣥࣃࢡࢺ┤๓5ࣇ࣮࣒ࣞ࠾ࡅࡿỈᖹ㠃
ୖᢞᙳࡋࡓ࣮࣎ࣝᗙᶆࡢᅇᖐ┤⥺ࡢഴࡁࡽ⟬ฟࡋ㸪ྠᵝ㖄┤ᢞ⌫ゅᗘ ljV/pitched) ࡣ
ࣥࣃࢡࢺ┤๓5ࣇ࣮࣒ࣞ࠾ࡅࡿ㖄┤㠃ୖᢞᙳࡋࡓ࣮࣎ࣝᗙᶆࡢᅇᖐ┤⥺ࡢഴࡁࡽ
⟬ฟࡋࡓ㸬ࡲࡓ㸪ࣂࢵࢺࡢ࣊ࢵࢻ㏿ᗘ (Vhead)㸪ࢫࣥࢢゅᗘ (ࣂࢵࢺ࣊ࢵࢻࡢ㏿ᗘ࣋ࢡࢺ
ࣝỈᖹ㠃ࡢ࡞ࡍゅᗘ ljswing) ࡣ㸪ࣥࣃࢡࢺ┤๓3ࣇ࣮࣒ࣞ࠾ࡅࡿࣂࢵࢺ࣊ࢵࢻࡢ
୰ᚰⅬࡢኚࡽ⟬ฟࡋࡓ㸬Ỉᖹࣂࢵࢺゅ ljH/bat) ࡣ㸪ࣥࣃࢡࢺࡢỈᖹ㠃ୖᢞᙳࡋ ࡓࣂࢵࢺx㍈ࡢ࡞ࡍゅᗘࡋ࡚⟬ฟࡋࡓ㸬ࡲࡓ㸪㖄┤ࣂࢵࢺゅ ljV/bat) ࡣࣥࣃࢡࢺ
ࡢࣂࢵࢺࡢ㖄┤㠃ୖ࠾ࡅࡿୗྥࡁഴᩳゅᗘ (ಠゅ) ࡋ࡚⟬ฟࡋࡓ㸬
ࣂࢵࢺᑐࡍࡿ࣮࣎ࣝࡢࣥࣃࢡࢺ⨨ࢆ⟬ฟࡍࡿࡓࡵ㸪ࣂࢵࢺᗙᶆ⣔ (Rx’y’z’) ࢆ௨
ୗࡢࡼ࠺ᐃ⩏ࡋࡓ㸬ࣂࢵࢺࡢࢢࣜࢵࣉ࢚ࣥࢻࡽ࣊ࢵࢻྥ࠺࣋ࢡࢺࣝࢆࣂࢵࢺᗙᶆ
⣔ࡢx’㍈㸪 x’㍈┤ࡋࡘỈᖹ㠃ࢆ㏻ࡿ࣋ࢡࢺࣝࢆy’㍈㸪x’㍈y’㍈ࡢእ✚ࢆz’㍈
ࡋࡓ㸬ࡢ⛬ᗘ࣮࣎ࣝࡢୗ㒊ࢆࣥࣃࢡࢺࡋࡓࢆ♧ࡍ⾪ᧁ⥺ゅᗘ ljimpact) ࡣ㸪ࣥࣃࢡ ࢺࡢ࣮࣎ࣝࣂࢵࢺࡢ᩿㠃୰ᚰࢆ⤖ࡪ⥺ศ (⾪ᧁ⥺) y’㍈ࡢ࡞ࡍゅᗘࡋ࡚⟬ฟࡋ ࡓ㸬
ࣥࣃࢡࢺ┤ᚋࡢᡴ⌫㏿ᗘ (Vball/post) ࡣ㸪ࣥࣃࢡࢺ┤ᚋ5ࣇ࣮࣒ࣞ࠾ࡅࡿ࣮࣎ࣝࡢ ኚࡽ⟬ฟࡋࡓ㸬ࡲࡓ㸪ᡴ⌫ࡢỈᖹゅ ljH/ball) 㖄┤ゅ ljH/ball) ࡣ㸪ᢞ⌫ྠᵝࣥ
ࣃࢡࢺ┤ᚋ5ࣇ࣮࣒ࣞ࠾ࡅࡿᗙᶆ್ࡢᅇᖐ┤⥺ࡢഴࡁࡽ⟬ฟࡋࡓ㸬ᡴ⌫㣕㊥㞳 (Dflight) ࡣ㸪࠶ࡽࡌࡵࢢࣛ࢘ࣥࢻୖ➼㛫㝸 (5r ዟ⾜ࡁ10 mẖ) タ⨨ࡋࡓ᪤▱ᗙᶆࡢ࣐࣮
࢝㸪ほ ⪅ࡀᡴ⌫ࡢⴠୗᆅⅬ⨨࠸ࡓ࣐࣮࢝ࢆࣅࢹ࣓࢜࢝ࣛ (EXILIM EX-F1, CASIO
Inc., Japan) ࢆ⏝࠸࡚ᩳࡵୖ᪉ࡽ୧࣐࣮࢝ࡀ⏬ゅࡲࡿࡼ࠺30 fps࡛ᙳࡋ㸪2ḟ
ඖDLTἲࢆ⏝࠸࡚ᚓࡽࢀࡓⴠୗᆅⅬࡢᗙᶆ್ࡽ⟬ฟࡋࡓ㸬
2
2.4.1 ᕥྑᡴ⌫ゅᗘᑐࡍࡿྛࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢ⟬ฟ
ྛࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡣ㸪ᕥྑࡢᡴ⌫ゅᗘᑐࡋ࡚➨1࣭➨2ࡢ࣓࢝ࢽࢬ࣒
ࡀࡑࢀࡒࢀὶࡋᡴࡕ᪉ྥఱᗘ㈉⊩ࡋࡓࢆ⟬ฟࡋ㸪ࡑࡢྜ (%) ࡋ࡚♧ࡋࡓ㸬
2.4.1.1 ➨1࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ
ࡲࡎ㸪➨㸯࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࢆ⟬ฟࡍࡿࡓࡵ㸪ࣥࣃࢡࢺ┤๓࣭┤ᚋࡢ࣮࣎ࣝࡢ㏿
ᗘ࣋ࢡࢺࣝࢆ㸪ࣂࢵࢺࡢ㛗㍈ࢆ㏻ࡿ㠃 (R୶’୷’’ୖࡢx’-y’㠃) ᢞᙳࡋࡓᡂศ (vሬԦ୶ᇲ୷ᇲ/୮୧୲ୡ୦ୣୢ㸪
vሬԦ୶ᇲ୷ᇲ/ୠୟ୲୲ୣୢ) ╔┠ࡍࡿ (ᅗ4-2-4)㸬Ỉᖹࣂࢵࢺゅࡀࡁ࡞ࣥࣃࢡࢺx’-y’㠃ୖᢞᙳ
ࡋࡓᢞ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝ (vሬԦ୶ᇲ୷ᇲ/୮୧୲ୡ୦ୣୢ) y’㍈ࡢ࡞ࡍゅᗘ (Ʌ୧୬ୡ.) ࡀࡁࡃ࡞ࡾ㸪ࡇࢀ
㉳ᅉࡋ࡚ x’-y’㠃ୖᢞᙳࡋࡓᡴ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝ (vሬԦ୶ᇲ୷ᇲ/ୠୟ୲୲ୣୢ) y’㍈ࡢ࡞ࡍゅᗘ
(Ʌ୰ୣ.) ࡀࡁࡃ࡞ࡿࡓࡵ㸪ࡇࡢ2ゅࡢ (Ʌ୧୬ୡ.Ʌ୰ୣ.) ࢆỈᖹ㠃ୖᢞᙳࡋࡓɅଵࡶྠᵝ
ࡁࡃ࡞ࡿ (ᅗ4-2-4)㸬ࡇࢀࡼࡾ㸪Ʌଵࢆ➨1࣓࢝ࢽࢬ࣒ࡀὶࡋᡴࡕ᪉ྥࡢᡴ⌫㈉⊩ࡋࡓゅ
ᗘࡋ࡚ᐃ⩏ࡋ㸪௨ୗࡢᡭ㡰ࡼࡾ⟬ฟࡋࡓ㸬
ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢx’-y’㠃ୖᢞᙳࡋࡓᢞ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝ y’㍈ࡢ࡞ࡍゅᗘ (ධᑕゅ㸸Ʌ୧୬ୡ.) ࡣ㸪㎶bcࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-4)㸬
Ʌ୧୬ୡ.=b c
(1)
ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢ x’-y’㠃ୖᢞᙳࡋࡓᢞ⌫ࡢධᑕゅࢆỈᖹ㠃ᢞᙳࡋࡓゅᗘ (Ʌୌ/୧୬ୡ.) ࡣ㸪㎶acࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-4)㸬
Ʌୌ/୧୬ୡ.=a c
(2)
ᘧ (2) ᘧ (1) ࢆ௦ධࡍࡿࡇ࡛㸪Ʌୌ/୧୬ୡ.ࡀ௨ୗࡢࡼ࠺⟬ฟࡉࢀࡿ㸬
Ʌୌ/୧୬ୡ.= ή Ʌ/ୠୟ୲
Ʌb୧୬ୡ.
Ʌୌ/୧୬ୡ.ൌ Ʌ/ୠୟ୲ή Ʌ୧୬ୡ.
Ʌୌ/୧୬ୡ.= tanିଵ൫ Ʌ/ୠୟ୲ή Ʌ୧୬ୡ.൯
ᢞ⌫ᡂศྠᵝ㸪ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢ x’-y’㠃ୖᢞᙳࡋࡓᡴ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝ
y’㍈ࡢ࡞ࡍゅᗘ (ᑕゅ㸸Ʌ୰ୣ.) ࡣ㸪㎶cdࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-4)㸬
Ʌ୰ୣ.=d c
(3)
ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢ x’-y’㠃ୖᢞᙳࡋࡓᡴ⌫ࡢᑕゅࢆỈᖹ㠃ᢞᙳࡋࡓゅᗘ (Ʌୌ/୰ୣ.) ࡣ㸪㎶ceࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-4)㸬
Ʌୌ/୰ୣ.=e c
(4)
ᘧ (4) ᘧ (3) ࢆ௦ධࡍࡿࡇ࡛㸪Ʌୌ/୰ୣ.ࡀ௨ୗࡢࡼ࠺⟬ฟࡉࢀࡿ㸬
Ʌୌ/୰ୣ.= ή Ʌ/ୠୟ୲
Ʌd୰ୣ.
Ʌୌ/୰ୣ.ൌ Ʌ/ୠୟ୲ή Ʌ୰ୣ.
Ʌୌ/୰ୣ.= tanିଵ൫ Ʌ/ୠୟ୲ή Ʌ୰ୣ.൯
௨ୖࡼࡾ㸪➨㸯࣓࢝ࢽࢬ࣒ࡀὶࡋᡴࡕ᪉ྥ㈉⊩ࡋࡓゅᗘ (Ʌଵ) ࢆᢞ⌫ᡂศᡴ⌫ᡂศࡢ
ࡋ࡚⟬ฟࡋࡓ㸬
Ʌଵൌ Ʌୌ/୧୬ୡ. Ʌୌ/୰ୣ. (5)
2
2.4.1.2 ➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ
➨ 2 ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࢆ⟬ฟࡍࡿࡓࡵ㸪ࣥࣃࢡࢺ┤๓࣭┤ᚋࡢ࣮࣎ࣝࡢ㏿ᗘ࣋
ࢡࢺࣝࢆ㸪ࣂࢵࢺࡢ▷㍈┤ࡍࡿ㠃 (R୶’୷’’ୖࡢ y’-z’㠃) ᢞᙳࡋࡓᡂศ (vሬԦ୷ᇲᇲ/୮୧୲ୡ୦ୣୢ,
vሬԦ୷ᇲᇲ/ୠୟ୲୲ୣୢ) ╔┠ࡍࡿ (ᅗ4-2-5)㸬⾪ᧁ⥺ゅᗘࡀ୍ᐃࡢሙྜࡇࡢ㠃ୖᢞᙳࡋࡓ㣕⩧᪉ྥ
(Ʌ୷’’/ୠୟ୲୲ୣୢ) ࡣ᪤ᐃࡉࢀࡿࡀ㸪㖄┤ࣂࢵࢺゅࡢࡁࡉࡼࡾ y’-z’㠃ࡑࡢࡶࡢࡀഴᩳࡍࡿࡓ
ࡵ㸪࣋ࢡࢺࣝvሬԦ୷ᇲᇲ/ୠୟ୲୲ୣୢࢆỈᖹ㠃ᢞᙳࡋࡓᡴ⌫ࡢ㣕⩧㌶㐨ࡣࡁࡃࣛࢺ᪉ྥഴࡃ㸬ࡲ
ࡓ㸪㖄┤ࣂࢵࢺゅࡀ୍ᐃࡢሙྜ㸪⾪ᧁ⥺ゅᗘࡀࡁ࡞ࣥࣃࢡࢺ㸪y’-z’㠃ୖᢞᙳࡋ ࡓᡴ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝ (vሬԦ୷ᇲᇲ/ୠୟ୲୲ୣୢ) y’㍈ࡢ࡞ࡍゅᗘ (Ʌ୷’’/ୠୟ୲୲ୣୢ) ࡀࡁࡃ࡞ࡿࡓࡵ㸪 ࡑࢀకࡗ࡚ᡴ⌫ࡣࣛࢺ᪉ྥᨺࡓࢀࡿ㸬ࡘࡲࡾ㸪㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅᗘࡀࡁ࡞
ࣥࣃࢡࢺ㸪➨ 2 ࣓࢝ࢽࢬ࣒ࡀὶࡋᡴࡕ᪉ྥ㈉⊩ࡋࡓゅᗘ (Ʌଶ) ࡶࡁࡃ࡞ࡿ㸬ࡉ ᅗ ➨ ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢ⟬ฟ᪉ἲ
ɽ
V/batz’
x’
y’
ɽ
1ɽ
inc.ɽ
ref.ɽ
V/bata
b
c e
d
ɽ
H/ref.ɽ
H/inc.ࡽ㸪㈉⊩ᗘࡢ⟬ฟ㐣⛬ṇ☜ᛶࢆᮇࡍࡓࡵ㸪ᢞ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝࡶ⪃៖ධࢀ㸪௨ୗࡢ ᡭ㡰ࡼࡾ㈉⊩ᗘࢆ⟬ฟࡋࡓ㸬
ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢ y’-z’㠃ୖᢞᙳࡋࡓᢞ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝ y’㍈ࡢ࡞ࡍゅᗘ (Ʌ୷’’/୮୧୲ୡ୦ୣୢ) ࡣ㸪㎶hiࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-5)㸬
Ʌ୷ᇲᇲ/୮୧୲ୡ୦ୣୢ=i h
(6)
ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢ y’-z’㠃ୖᢞᙳࡋࡓᢞ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝࢆỈᖹ㠃ᢞᙳࡋࡓゅ ᗘ (Ʌ୮୧୲ୡ୦ୣୢ/ୌ) ࡣ㸪㎶hjࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-5)㸬
Ʌ୮୧୲ୡ୦ୣୢ/ୌ= j h
(7)
ᘧ (7) ࢆᘧ (6) ௦ධࡍࡿࡇ࡛㸪Ʌ୮୧୲ୡ୦ୣୢ/ୌࡀ௨ୗࡢࡼ࠺⟬ฟࡉࢀࡿ㸬
Ʌ୮୧୲ୡ୦ୣୢ/ୌ= ή Ʌ/ୠୟ୲
Ʌ୷ᇲiᇲ/୮୧୲ୡ୦ୣୢ
Ʌ୮୧୲ୡ୦ୣୢ/ୌൌ Ʌ/ୠୟ୲ή Ʌ୷ᇲᇲ/୮୧୲ୡ୦ୣୢ
Ʌ୮୧୲ୡ୦ୣୢ/ୌ= tanିଵ൫Ʌ/ୠୟ୲ή Ʌ୷ᇲᇲ/୮୧୲୦ୣୢ൯
⥆࠸࡚㸪ᡴ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝࡼࡿ➨ 2 ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࢆ⟬ฟࡍࡿ㸬ࣂࢵࢺᗙᶆ
⣔ (R୶’୷’’) ࡢy’-z’㠃ୖᢞᙳࡋࡓᡴ⌫ࡢ㣕⩧㌶㐨y’㍈ࡢ࡞ࡍゅᗘ (Ʌ୷’’/ୠୟ୲୲ୣୢ) ࡣ㸪㎶
fhࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-5)㸬
Ʌ୷ᇲᇲ/ୠୟ୲୲ୣୢ= f h
(8)
ࣂࢵࢺᗙᶆ⣔ (R୶’୷’’) ࡢ y’-z’㠃ୖᢞᙳࡋࡓᡴ⌫ࡢ㏿ᗘ࣋ࢡࢺࣝࢆỈᖹ㠃ᢞᙳࡋࡓゅ ᗘ (Ʌୠୟ୲୲ୣୢ/ୌ) ࡣ㸪㎶ghࢆ⏝࠸࡚ḟᘧࡢࡼ࠺⾲ࡉࢀࡿ (ᅗ4-2-5)㸬
Ʌୠୟ୲୲ୣୢ/ୌ=g h
(9)
ᘧ (9) ࢆᘧ (8) ௦ධࡍࡿࡇ࡛㸪Ʌଶࡀ௨ୗࡢࡼ࠺⟬ฟࡉࢀࡿ㸬
Ʌୠୟ୲୲ୣୢ/ୌ= ή Ʌ/ୠୟ୲
Ʌ୷fᇲᇲ/ୠୟ୪୪
Ʌୠୟ୲୲ୣୢ/ୌൌ Ʌ/ୠୟ୲ή Ʌ୷ᇲᇲ/ୠୟ୪୪ Ʌୠୟ୲୲ୣୢ/ୌ= tanିଵ൫Ʌ/ୠୟ୲ή Ʌ୷ᇲᇲ/ୠୟ୪୪൯
௨ୖࡼࡾ㸪➨ 2 ࣓࢝ࢽࢬ࣒ࡀὶࡋᡴࡕ᪉ྥ㈉⊩ࡋࡓゅᗘ (Ʌଶ) ࢆᡴ⌫ᡂศᢞ⌫ᡂศࡢ ᕪࡋ࡚⟬ฟࡋࡓ㸬
Ʌଶൌ Ʌୠୟ୲୲ୣୢ/ୌെ Ʌ୮୧୲ୡ୦ୣୢ/ୌ (10)
᭱ᚋ㸪ᘧ(5)(10)ࢆ⏝ࡋ࡚㸪ྛ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ (%) ࢆ㸪ࡑࡢ࣓࢝ࢽࢬ࣒ࡀᡴ⌫ࡢᕥ
ྑࡢ㣕⩧᪉ྥ㈉⊩ࡋࡓゅᗘ (ɅଵࡲࡓࡣɅଶ) ࡢᕥྑᡴ⌫ゅᗘ (Ʌଵ Ʌଶ) ᑐࡍࡿྜࡋ ᅗ ➨ ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢ⟬ฟ᪉ἲ
g
h f
ɽ
V/batɽ
V/batɽ
2y’
ɽ
y’z’/battedz’
ɽ
y’z’/pitchedɽ
batted/Hɽ
pitched/Hi
j
࡚⟬ฟࡋࡓ㸬
➨1࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ(%) = ߠଵ
ߠଵ+ߠଶ× 100 (11)
➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ(%) = ߠଶ
ߠଵ+ߠଶ× 100 (12)
࡞࠾㸪➨1࣓࢝ࢽࢬ࣒㛵ࡋ࡚ࡣ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆࣞࣇࢺഃྥࡅࡓὶࡋᡴࡕ (ྑᡴ⪅
ࢆ௬ᐃ) ࡢሙྜ㸪ࡑࡢ࣓࢝ࢽࢬ࣒ࡀᡴ⌫ࡢᕥྑゅ㈉⊩ࡋࡓゅᗘࡣ㸪㈇ࡢ್࡞ࡾᚓࡿ㸬 ᚑࡗ࡚ࡑࡢሙྜࡣ㸪ᘧ (11) ࡛ᚓࡽࢀࡿ㈉⊩ᗘ (%) ࡶ㈇࡞ࡿ㸬
2
2.5 ⤫ィฎ⌮
ࢫࣥࢢ≉ᛶ㸪࠾ࡼࡧࣥࣃࢡࢺࣃ࣓࣮ࣛࢱᡴ⌫≉ᛶࡢ㛵㐃ࢆศᯒࡍࡿࡓࡵ㸪ྛኚᩘ
ࢆPearsonࡢ✚⋡┦㛵ಀᩘࢆ⏝࠸᳨࡚ᐃࡋࡓ㸬᭷ពỈ‽ࡣ5%ᮍ‶ࡋࡓ㸬ࡲࡓ㸪ᡴ⌫ࡢ
㣕⩧᪉ྥࡀࣥࣃࢡࢺ≉ᛶࡼࡗ࡚ఱ%Ỵᐃࡉࢀࡿࡢࢆ☜ࡵࡿࡓࡵ㸪ᡴ⌫ࡢᕥྑゅ
ࢆᚑᒓኚᩘ㸪Ỉᖹࣂࢵࢺゅ࣭㖄┤ࣂࢵࢺゅ࣭⾪ᧁ⥺ゅᗘࡢ3ኚᩘࢆ⊂❧ኚᩘࡋ࡚ࢫࢸࢵ
ࣉ࣡ࢬࡢ㔜ᅇᖐศᯒࢆ⾜ࡗࡓ㸬ᢞධࡍࡿFࡢ☜⋡ࢆ0.05௨ୗ㸪㝖ཤࡍࡿFࡢ☜⋡ࢆ0.1 ௨ୖࡋࡓ㸬
3
3. ⤖ᯝ
3.1 ྛ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ
ᡴ⌫ࡢᕥྑゅ (22.4±7.6r) ᑐࡋ࡚ྛࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡀ㈉⊩ࡋࡓゅᗘࡣ㸪➨1
࣓࢝ࢽࢬ࣒ࡀ7.6±8.3r(㸫14.3 ~ 30.3r)㸪➨2࣓࢝ࢽࢬ࣒ࡀ15.7±8.9r(1.9 ~ 46.9r)
࡛࠶ࡗࡓ㸬ࡑࢀࡒࢀࡢࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡼࡗ࡚ᡴ⌫ࡢᕥྑゅ㈉⊩ࡋࡓゅᗘࡢ
(ș1㸩ș2) ࡣ㸪ᐇ㝿グ㘓ࡋࡓᡴ⌫ࡢᕥྑゅࢆ97 %ㄝ᫂ࡋ࡚࠾ࡾ㸪୧⪅㛫ࡢᅇᖐ┤⥺ࡣy = x
࡞ࡿIdentical Lineࡰ୍⮴ࡋ࡚࠸ࡓ (R2= 0.97, y = 0.99x + 0.27, ᅗ4-2-6)㸬ࡲࡓ㸪
ࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢᖹᆒ್ࡣ㸪ࡑࢀࡒࢀ➨1࣓࢝ࢽࢬ࣒ࡀ31.1±35.3 %㸪➨
2࣓࢝ࢽࢬ࣒ࡀ69.9 ± 35.3 %࡛࠶ࡗࡓ㸬ࡲࡓ㸪146ヨᢏ୰102ヨᢏ (70%) ࠾࠸࡚㸪
➨2࣓࢝ࢽࢬ࣒ࡀ➨1࣓࢝ࢽࢬ࣒ࡼࡾࡶὶࡋᡴࡕࡁࡃ㈉⊩ࡋ࡚࠸ࡓ㸬୍᪉࡛㸪㈉⊩ᗘ ࡣࣥࣃࢡࢺ࠾ࡅࡿࣂࢵࢺࡢỈᖹゅࡢኚືకࡗ࡚2ḟ᭤⥺ⓗኚࡋ㸪Ỉᖹࣂࢵࢺ ゅࡀ㸫10.4r௨ୗࡢሙྜࡣ➨1࣓࢝ࢽࢬ࣒ࡢ㈉⊩ࡀඃ࡞ࡾ㸪㸫10.4r௨ୖࡢሙྜ
ࡣ➨2࣓࢝ࢽࢬ࣒ࡀඃ࡞ࡿഴྥࡀࡳࡽࢀࡓ (ᅗ4-2-7)㸬
ᡴ⌫ࡢᕥྑゅࡀ㸪㈉⊩ᗘࡢ⟬ฟ࡛⏝࠸ࡽࢀࡿ3ኚᩘ (Ỉᖹࣂࢵࢺゅ࣭㖄┤ࣂࢵࢺゅ࣭⾪
ᧁ⥺ゅᗘ) ࡼࡗ࡚⤫ィⓗࡢ⛬ᗘㄝ᫂ࡉࢀᚓࡿࡢࢆ㸪ࢫࢸࢵࣉ࣡ࢬࡢ㔜ᅇᖐศᯒ
ࢆ⏝࠸᳨࡚ᐃࡋࡓ⤖ᯝ㸪3ኚᩘ࡚ࢆ⊂❧ኚᩘࡍࡿ᭷ព࡞ᅇᖐᘧࡀᚓࡽࢀࡓ (⾲4-2-1)㸬 ࡑࡢᐤ⋡ࡣ77%࡛࠶ࡾ㸪᥎ᐃ್ࡢᶆ‽ㄗᕪࡣ3.7r࡛࠶ࡗࡓ㸬
ᅗ ᐇ㝿グ㘓ࡋࡓᡴ⌫ࡢᕥྑゅ㸪➨ ࣭➨ ࡢ୧ࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡀ ᡴ⌫ࡢᕥྑゅ㈉⊩ࡋࡓゅᗘࡢࡢ㛵ಀ㸬◚⥺ࡣ㸪\ [ ࡞ࡿ ,GHQWLFDO OLQH ࢆ♧ࡍ㸬
y = 0.99 x + 0.25 R² = 0.97
0 10 20 30 40
0 10 20 30 40
Sumoftheanglethateachmechanismcontributed tothedirectionofthebattedball[deg].
The angle between y-axis and the direction of the batted ball projected onto the horizontal plane [deg].
⾲ ࢫࢸࢵࣉ࣡ࢬࡢ㔜ᅇᖐศᯒక࠺⣼✚Ỵᐃಀᩘ
㻾㻞
䃗㻴㻛㼎㼍㼘㼘㻔㼐㼑㼓㻕 䃗㻴㻛㼎㼍㼠 㻔㼐㼑㼓㻕 㻜㻚㻝㻢
䃗㻴㻛㼎㼍㼠 㻔㼐㼑㼓㻕 䃗㼕㼙㼜㼍㼏㼠 㻔㼐㼑㼓㻕 㻜㻚㻡㻥
䃗㻴㻛㼎㼍㼠 㻔㼐㼑㼓㻕 䃗㼕㼙㼜㼍㼏㼠 㻔㼐㼑㼓㻕 䃗㼂㻛㼎㼍㼠 㻔㼐㼑㼓㻕 㻜㻚㻣㻣 㻰㼑㼜㼑㼚㼐㼑㼚㼠 㼢㼍㼞㼕㼍㼎㼘㼑 㻵㼚㼐㼑㼜㼑㼚㼐㼑㼚㼠 㼢㼍㼞㼕㼍㼎㼘㼑
ᅗ Ỉᖹࣂࢵࢺゅྛ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢ㛵ಀ㸬୧࣓࢝ࢽࢬ࣒ࡢࣉࣟࢵࢺࡣ㸪 ᑐ࡞ࡗ୍࡚ࡘࡢヨᢏ࡛࠶ࡾ㸪ࢆᇶ‽⥺ᑐ⛠࡞ࡿࡓࡵ㸪ᖖ㊊ࡋ࡚
࡞ࡿ㸬
y = 0.11 x
2+ 5.74 x + 97.53 R² = 0.81
-150 -100 -50 0 50 100 150 200
-30 -20 -10 0 10 20
Co nt ri b u ti o n (% )
Horizontal bat angle (deg) 1st. mechanism
2nd. mechanism
3
3.2 ࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘᡴ⌫㏿ᗘ㸪࠾ࡼࡧᡴ⌫㣕㊥㞳ࡢ㛵ಀ
➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘỈᖹࣂࢵࢺゅࡢ㛵ಀࢆྛᡴ⌫㏿ᗘ㸪ྛᡴ⌫㣕㊥㞳ࡘ࠸࡚♧
ࡋࡓ (ᅗ4-2-8)㸬ᡴ⌫㏿ᗘ40m/s௨ୖࡢヨᢏࡣ㸪Ỉᖹࣂࢵࢺゅࡀ㸫17.3㹼1.6rࡢ㛫࠶ࡾ㸪
ྠ୍Ỉᖹࣂࢵࢺゅ࡛ࡶ➨ 2 ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ࡀᑠࡉ࡞ࣥࣃࢡࢺ࡛࠶ࡗࡓ㸬ᡴ⌫㣕㊥㞳 90m௨ୖࡢヨᢏࡣ㸪Ỉᖹࣂࢵࢺゅࡀ㸫12.0㹼9.7rࡢ㛫࠶ࡾ㸪ྠ୍Ỉᖹࣂࢵࢺゅ࡛ࡶ➨2
࣓࢝ࢽࢬ࣒ࡢ㈉⊩ࡀࡁ࡞ࣥࣃࢡࢺ࡛࠶ࡗࡓ㸬ᡴ⌫㣕㊥㞳90m௨ୖࡢヨᢏ࠾ࡅࡿᡴ⌫
㏿ᗘࡣ37.4s1.4m/s࡛࠶ࡗࡓ㸬
ᅗ Ỉᖹࣂࢵࢺゅᑐࡍࡿ➨ ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢྜ㸪ᡴ⌫㏿ᗘ D㸪ᡴ⌫
㣕㊥㞳 E ࡢ㛵ಀ㸬㯮Ⰽࡢࡦࡋᙧࡣ㸪ᡴ⌫㏿ᗘࡀ PV ௨ୖD ࡢሙྜ㸪ᡴ⌫
㣕㊥㞳 P ௨ୖE ࡢሙྜࡢヨᢏ࡛࠶ࡾ㸪ⓑⰍࡢࡦࡋᙧࡣᡴ⌫㏿ᗘࡀ PV ᮍ
‶D ࡢሙྜ㸪ᡴ⌫㣕㊥㞳 P ᮍ‶E ࡢሙྜࡢヨᢏ࡛࠶ࡿ㸬 0
50 100 150 200
-30 -20 -10 0 10 20
Contribution(%)
Horizontal bat angle (deg)
vbatted(m/s) 40䡚 38䡚40 36䡚38 34䡚36 32䡚34 䡚32
0 50 100 150 200
-30 -20 -10 0 10 20
Contribution(%)
Horizontal bat angle (deg)
Dflight(m) 90䡚 80䡚90 70䡚80 60䡚70 䡚60
(a)
(b)
4
4. ⪃ᐹ
4.1 ᡴ⌫ࡢᕥྑゅᑐࡍࡿྛ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘ
୧࣓࢝ࢽࢬ࣒ࡢᡴ⌫ࡢᕥྑゅ㈉⊩ࡋࡓゅᗘࡢࡀ㸪 ᐃࡉࢀࡓᡴ⌫ࡢᕥྑゅࢆ 97%
ㄝ࡛᫂ࡁ࡚࠾ࡾ㸪ࡘ⣔⤫ⓗ࡞ㄗᕪࡀࡳࡽࢀ࡞ࡗࡓࡇࡽ (ᅗ 4-2-6)㸪ᮏ◊✲࡛ᥦ
ࡋࡓࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡢ⟬ฟ᪉ἲࡣ㸪ᴫࡡጇᙜ࡛࠶ࡗࡓ࠸࠼ࡿ㸬
ࢫࢸࢵࣉ࣡ࢬࡢ㔜ᅇᖐศᯒࡼࡾ㸪3ኚᩘ (Ỉᖹࣂࢵࢺゅ࣭㖄┤ࣂࢵࢺゅ࣭⾪ᧁ⥺ゅ ᗘ) ࡢᡴ⌫ࡢᕥྑゅࢆㄝ᫂ࡍࡿᐤ⋡ࡣ77 %࡛࠶ࡗࡓ㸬ࡲࡓ㸪Ỉᖹࣂࢵࢺゅࡢࡳࢆᢞධࡋ ࡓࡢỴᐃಀᩘ (0.16) ẚ㸪⾪ᧁ⥺ゅᗘ㖄┤ࣂࢵࢺゅࢆᢞධࡋࡓᚋࡢỴᐃಀᩘࡢቑ
ຍศ (0.77㸫0.16 = 0.61) ࡢ᪉ࡀࡁࡗࡓࡇࡽ㸪┤⥺ᅇᖐࡼࡿ⤫ィᡭἲࢆ⏝࠸࡚
ࡶ➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡀࡁ࠸ࡇࡀ☜ㄆࡉࢀࡓ㸬ࡑࡋ࡚㸪ᡴ⌫ࡢᕥྑゅᐤࡋ࡞
ࡗࡓṧࡾࡢ23%ࡣ㸪ࣥࣃࢡࢺ┤๓ࡢࣂࢵࢺࡢࢫࣆ࣮ࢻࡑࡢ᪉ྥࡢኚືࡼࡿࡶࡢࡀ
ࡁ࠸⪃࠼ࡽࢀࡿ㸬ࡑࡇ࡛㸪ヨᢏࡘ࠸࡚ࣥࣃࢡࢺ┤๓࠾ࡅࡿࣂࢵࢺࡢ㏿ᗘ࣋ࢡ ࢺࣝࢆ⟬ฟࡋࡓࡇࢁ㸪ࣂࢵࢺᗙᶆ⣔ᑐࡋ࡚ࡑࢀࡒࢀvx= 㸫0.8s1.1 m/s㸪vy= 26.9s 1.9 m/s㸪vz= 1.8s2.3 m/s࡛࠶ࡗࡓ㸬xᡂศࡣࣂࢵࢺࡢ㛗㍈᪉ྥࡢ㏿ᗘ࡛࠶ࡾ㸪ࡇࡢኚᩘ
ࡀ࣐ࢼࢫ࡛࠶ࡗࡓࡇࡣ㸪ࣂࢵࢺࡀࣥࣃࢡࢺ┤๓ࢢࣜࢵࣉഃࡢ㏿ᗘࢆ᭷ࡋ࡚࠸ࡓ ࡇࢆ♧ࡍ㸬ࡑࡋ࡚㸪ࡇࢀࡽࡢ㏿ᗘࡢኚື (ᶆ‽೫ᕪ) ࡀ㸪ᡴ⌫ࡢ㣕⩧㌶㐨ᑡ࡞ࡽࡎ ᙳ㡪ࢆ࠼࡚࠸ࡓࡶࡢ⪃࠼ࡽࢀࡿ㸬
➨2࣓࢝ࢽࢬ࣒ࡣ㸪㈉⊩ᗘࡢ᭱ᑠ್ࡀ5.9 %࡛࠶ࡾ㸪࡚ࡢヨᢏ࡛ṇࡢ㈉⊩ࢆᯝࡓࡋ࡚
࠸ࡓ (ᅗ 4-2-7)㸬ࡇࢀࡣ㸪࡚ࡢヨᢏ࡛㖄┤ࣂࢵࢺゅࡀṇ࡛࠶ࡗࡓ㸪ࡘࡲࡾࣂࢵࢺ࣊ࢵࢻ
ࡀࢢࣜࢵࣉ࢚ࣥࢻࡼࡾࡶୗഃ⨨ࡋ࡚࠸ࡓࡓࡵ࠸࠼ࡿ㸬ࡲࡓ㸪ᡴ⪅ࡣὶࡋᡴࡕࢆᡂຌ
ࡉࡏࡿࡓࡵ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆࡼࡾࣛࢺഃྥࡅࡓࣥࣃࢡࢺ ljH/batӌ㸫10.4r) ࡛ ࡣ㸪➨1࣓࢝ࢽࢬ࣒ࡀඃ࡞ࡿࡼ࠺࡞ࣥࣃࢡࢺࢆ⾜ࡗ࡚࠾ࡾ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆࢭࣥ
ࢱ࣮ࡽࣞࣇࢺഃྥࡅ࡚ࡢࣥࣃࢡࢺ ljH/bat> 㸫10.4r) ࡛ࡣ㸪➨2࣓࢝ࢽࢬ࣒ࡀඃ
࡞ࡿ࡞ࡿࡼ࠺࡞㸪㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅᗘࡢࡁ࡞ࣥࣃࢡࢺࢆ⾜ࡗ࡚࠸ࡓ㸬ࡇࢀࡽ
ࡢᡴᧁࣃࣇ࢛࣮࣐ࣥࢫ࠼ࡿᙳ㡪ࢆḟ♧ࡍ㸬
4
4.2 ➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘᡴ⌫㏿ᗘ㸪࠾ࡼࡧᡴ⌫㣕㊥㞳ࡢ㛵ಀ
ᡴ⌫㏿ᗘ40m/s௨ୖࡢヨᢏࡣ㸪Ỉᖹࣂࢵࢺゅࡀ㸫17.3㹼1.6rࡢ㛫࠶ࡾ㸪Ỉᖹࣂࢵࢺ
ゅࡀྠࡌ࡛ࡶẚ㍑ⓗ➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ࡀᑠࡉ࡞ࣥࣃࢡࢺ࡛࠶ࡗࡓ (ᅗ4-2-8)㸬࡞࠾㸪
ᡴ⌫㏿ᗘ 40m/s௨ୖࡢヨᢏ࠾ࡅࡿᡴ⌫㣕㊥㞳ࡣ77.0s17.7m࡛࠶ࡗࡓ㸬ࡍ࡞ࢃࡕ㸪ᡴ
⌫㏿ᗘࡢࡁ࡞ὶࡋᡴࡕࢆ⾜࠺ࡓࡵࡣ㸪ࣥࣃࢡࢺ࣏ࣥࢺࢆẚ㍑ⓗᤕᡭᐤࡾ⨨ࡁ㸪
⾪ᧁ⥺ゅᗘࡢᑠࡉ࡞ࣥࣃࢡࢺࢆ⾜࠺ࡇࡀᚲせ࡛࠶ࡿ⪃࠼ࡽࢀࡿ㸬ᮏ◊✲࡛ᚓࡽࢀࡓ
ࣥࣃࢡࢺ┤๓ࡢࢫࣥࢢゅ㏿ᗘࡣ2287±147r/s࡛࠶ࡾ㸪40m/s௨ୖࡢᡴ⌫㏿ᗘࢆグ㘓 ࡋࡓỈᖹࣂࢵࢺゅࡢᖜ (18.9r) ࢆ8.3ms࡛㏻㐣ࡍࡿࡇ࡞ࡿ㸬ࢫࣥࢢࡢ㏿ᗘࢆ㧗ࡵ
ࡿࡇࡼࡗ࡚Ỉᖹࣂࢵࢺゅࡢᖜࡣᗈࡀࡿྍ⬟ᛶࡀ࠶ࡿࡶࡢࡢゅ㏿ᗘࡀቑຍࡍࡿࡓࡵ㸪
ᴫࡡࡇࡢ8.3ms࠸࠺㏿ᗘࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵチᐜࡉࢀࡿ㛫ࡣኚࢃࡽࡎ㸪ὶࡋᡴ
ࡕ᪉ྥ㏿ᗘࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵࡣࡇࡢࢃࡎ࡞㛫ࢆࢥࣥࢺ࣮ࣟࣝࡍࡿᢏ⾡ࡀᚲ せ⪃࠼ࡽࢀࡿ㸬
ᡴ⌫㣕㊥㞳90m௨ୖࡢヨᢏࡣ㸪Ỉᖹࣂࢵࢺゅࡀ㸫12.0㹼9.7rࡢ㛫࠶ࡾ㸪Ỉᖹࣂࢵࢺ ゅࡀྠࡌ࡛ࡶẚ㍑ⓗ➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ᗘࡀࡁ࡞ࣥࣃࢡࢺ࡛࠶ࡗࡓ㸬࡞࠾㸪ᡴ⌫㣕
㊥㞳90m௨ୖࢆグ㘓ࡋࡓヨᢏࡢᡴ⌫㏿ᗘࡣ37.4s1.4m/s࡛࠶ࡗࡓ㸬ࡍ࡞ࢃࡕ㸪ὶࡋᡴࡕ ᪉ྥ㣕㊥㞳ࡢ㛗࠸ᡴ⌫ࢆᨺࡘࡓࡵࡣ㸪ࣂࢵࢺࡢᡴᧁ㠃ࢆࢭࣥࢱ࣮᪉ྥྥࡅ㸪
ࡘྑᡴ⪅࠼ࡿ㸪࣮࣎ࣝࡢᕥᩳࡵୗࢆᡴᧁࡍࡿࡼ࠺࡞㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅᗘࡢẚ
㍑ⓗࡁ࡞ࣥࣃࢡࢺࡀᚲせ⪃࠼ࡽࢀࡿ㸬࣮࣭࣎ࣝࣥࣃࢡࢺᡴ⌫㣕㊥㞳ࡢ㛵ಀࢆ 2 ḟඖ๛యࣔࢹ᳨࡛ࣝウࡋࡓSawicki et al. (2003) ࡢሗ࿌ࡼࡿ㸪┤⌫ࢆᡴᧁࡍࡿሙྜ
ࡣ9rࡢࢵࣃ࣮ࢫࣥࢢ㸪ࡘ࣮࣎ࣝࡢ୰ᚰࡼࡾ 0.0265m ୗഃ (⾪ᧁ⥺ゅᗘ⟬ࡍ
ࡿ21.7r) ࢆᡴᧁࡍࡿࡇ࡛㸪ᡴ⌫ࡀ26.4rୖྥࡁᨺࡓࢀ㸪᭱㛗㣕㊥㞳 (135m) ࡀ
⏕ࡲࢀࡿࡉࢀࡿ㸬ࡲࡓ㸪ᮏ◊✲࡛ᚓࡽࢀࡓ㣕㊥㞳90m௨ୖࡢヨᢏ࠾ࡅࡿ⾪ᧁ⥺ゅᗘࡣ
22.3s3.3r࡛࠶ࡾ㸪ᡴ⌫ࡢୖୗゅࡣ29.4s5.5r࡛࠶ࡗࡓ㸬ࡇࢀࡽࡢ⤖ᯝࡣ㸪ᮏ◊✲ࡢ⤖
ᯝࡀSawicki et al. (2003) ࡢሗ࿌ẚ㍑ⓗ㏆ࡗࡓࡇࢆ♧ࡋ࡚࠸ࡿࡀ㸪ྠSawicki
et al. (2003) ࡢ⾪✺ࣔࢹࣝࡀጇᙜ࡛ࡣ࡞࠸ྍ⬟ᛶࢆ♧ࡍࡶࡢ࡛ࡶ࠶ࡿ㸬ࣂࢵࢺ࣊ࢵࢻࡀୗ
ྥࡁഴᩳࡍࡿࡇࡼࡗ࡚㸪⾪ᧁ⥺ゅᗘࡢኚືࡣᡴ⌫ᑐࡋ࡚ୖୗ᪉ྥࡔࡅ࡛࡞ࡃᕥྑ
᪉ྥࡶᙳ㡪ࢆ࠼ࡿ㸬ࡍ࡞ࢃࡕ㸪ࣂࢵࢺ࣊ࢵࢻࡀୗྥࡁഴᩳࡋࡓࣥࣃࢡࢺ㸪⾪
ᧁ⥺ゅᗘࡢኚືᑐࡋ࡚ᡴ⌫ࡢୖୗゅࡢኚືࡣᑠࡉࡃ࡞ࡿ㸬ᚑࡗ࡚㸪Sawicki et al. (2003) ࡢ⾪✺ࣔࢹࣝࢆᐇ㝿ࡢᡴᧁ㏆࡙ࡅࡿࡼ࠺ࣂࢵࢺ࣊ࢵࢻࢆഴᩳࡉࡏࡿ㸪ᡴ⌫ࡣࡉࡽప
࠸ᙎ㐨࡛ᨺࡓࢀࡿࡇ࡞ࡿ㸬
ࡲࡓ㸪ᡴ⌫㏿ᗘ40m/s௨ୖࡢヨᢏࡣ㸪ᡴ⌫ࡀ14.1s4.5rୖྥࡁᨺࡓࢀ࡚࠾ࡾ㸪㣕㊥
㞳90m௨ୖࡢᡴ⌫ (29.4s5.5r) ࡼࡾࡶ15.3rప࠸ᙎ㐨࡛ᨺࡓࢀࡓ㸬௨ୖࡢࡼ࠺㸪㏿
ᗘࡢࡁ࡞ᡴ⌫㣕㊥㞳ࡢ㛗࠸ᡴ⌫ࢆᨺࡘࡓࡵࡢ᪉⟇ࡣྠ୍࡛ࡣ࡞ࡃ㸪ᡴ⪅ࡣ┠ⓗᛂࡌ ࡓ␗࡞ࡿࣥࣃࢡࢺࡀᚲせ⪃࠼ࡽࢀࡿ㸬
5
5. ࡲࡵ
ᮏ◊✲ࡼࡾ㸪ὶࡋᡴࡕࢆ⾜ࢃࡏࡓ㝿ࡢᕥྑࡢᡴ⌫᪉ྥᑐࡍࡿࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒
ࡢ㈉⊩ᗘࡢጇᙜ࡞⟬ฟ᪉ἲࢆᥦࡋࡓ㸬ࡲࡓ㸪ὶࡋᡴࡕࡣ㸪ࣥࣃࢡࢺࡢỈᖹࣂࢵࢺゅ ࡢࡁࡉࡼࡗ࡚ࡑࡢ㈉⊩ᗘࡀኚࡋ࡚࠸ࡃࡶࡢࡢ㸪ヨᢏࡢ70 %ࡀỈᖹࣂࢵࢺゅࢆ⏝
ࡋࡓ➨1࣓࢝ࢽࢬ࣒ࡼࡾࡶ㸪㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅᗘࡢ┦స⏝ࡼࡿ➨2࣓࢝ࢽࢬ࣒
ࡢ㈉⊩ࡀࡁࡗࡓࡇࡀ♧ࡉࢀࡓ㸬ࡑࡋ࡚㸪➨1࣓࢝ࢽࢬ࣒ࡀඃ࡞ࡿࣥࣃࢡࢺ
ᡴ⌫㏿ᗘࡀࡁࡃ㸪➨2࣓࢝ࢽࢬ࣒ࡀඃ࡞ࡿࣥࣃࢡࢺᡴ⌫㣕㊥㞳ࡀ㛗ࡃ࡞ࡿ
ഴྥࡀࡳࡽࢀࡓ㸬
➨
➨5❶ ⥲ᣓㄽ㆟
ᮏᏛㄽᩥ࡛ࡣ㸪Ꮫ㔝⌫㑅ᡭࢆᑐ㇟㸪ࣥࣃࢡࢺࢆྵࡴ⾪✺๓ᚋࡢ࣮࣭࣎ࣝࣂࢵࢺ ࡢ㐠ືࡽᡴ⌫㣕㊥㞳ࡸᡴ⌫ࡢ㐠ື࢚ࢿࣝࢠ࣮ࡢኚືせᅉࢆ᫂ࡽࡋ㸪ࡲࡓὶࡋᡴࡕࢆ
ྍ⬟ࡍࡿࡓࡵࡢࣥࣃࢡࢺ࣓࢝ࢽࢬ࣒ࡘ࠸᳨࡚ウࡋࡓ㸬ࡑࡢ⤖ᯝ㸪௨ୗࡢ▱ぢࡀᚓࡽ
ࢀࡓ㸬
I. ୪㐍㏿ᗘࡀࡁࡃᅇ㌿㏿ᗘࡢᑠࡉ࡞ᡴ⌫㣕㊥㞳ࡣ㛗ࡃ㸪ࡑࡢ࠺ࡕ┤⾪✺ (ṇ㠃⾪
✺) ㏆࠸ࣥࣃࢡࢺࡼࡗ࡚ప࠸ᙎ㐨࡛ᡴ⌫ࡀᨺࡓࢀࡓሙྜ࠾࠸࡚㸪ᡴ⌫ࡢ㐠ື
࢚ࢿࣝࢠ࣮ࡣࡁ࠸㸬
II. ᡴ⌫ࡢ㣕㊥㞳ࢆ㛗ࡃࡍࡿࡓࡵࡣ㸪ࣂࢵࢺࡢ࣊ࢵࢻ㏿ᗘࢆ㧗ࡵ㸪ࢵࣃ࣮ࢫࣥࢢ
࡞ࡿࡼ࠺࡞ࢫࣥࢢ㌶㐨࡛ࣥࣃࢡࢺࡉࡏࡿࡇࡀ㔜せ࡛࠶ࡿ㸬ࡲࡓ㸪ᡴ⌫ࡢ㐠ື࢚
ࢿࣝࢠ࣮ࢆ㧗ࡵࡿࡓࡵࡣ㸪ୖグ2ኚᩘࢆቑຍࡉࡏࡿࡶ㸪ࡁ࡞࣮ࣟࣜࣥࢢゅ
㏿ᗘ (ࣂࢵࢺࡢ㛗㍈ᅇࡾࡢᅇ㌿㏿ᗘ) ࢆᣢࡓࡏࡓࣂࢵࢺ࡛ࣥࣃࢡࢺࡉࡏࡿࡇࡀ㔜 せ࡛࠶ࡿ㸬
III. ࣂࢵࢺࡢࢫࣥࢢ≉ᛶ (ࢫࣆ࣮ࢻࡑࡢ᪉ྥ) ࣂࢵࢺࡢⰺࢆᇶ‽ࡋࡓࣥࣃࢡࢺ
⨨ (ࣥࣃࢡࢺࡢṇ☜ࡉ) ࡀᡴ⌫ࡢ㐠ື࢚ࢿࣝࢠ࣮ࡢࡼ࠺㈉⊩ࡍࡿࡢࢆ⿕
㦂⪅ෆ᳨࡛ウࡋࡓࡇࢁ㸪ᡴ⌫ࡢ㐠ື࢚ࢿࣝࢠ࣮ࡢኚືࢆㄝ᫂ࡍࡿᅉᏊࡣ⿕㦂⪅ࡼ
ࡾࡁࡃ␗࡞ࡗࡓࡶࡢࡢ㸪ࣥࣃࢡࢺࣃ࣓࣮ࣛࢱࡀ48㹼76%㧗࠸☜⋡࡛㈉⊩ࡋ࡚࠸
ࡓ㸬ࡍ࡞ࢃࡕ㸪㐠ື࢚ࢿࣝࢠ࣮ࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵࡣ㸪ࣂࢵࢺࡢⰺ㏆࡛࣮࣎
ࣝࡢ୰ᚰࢆࣥࣃࢡࢺࡍࡿࡼ࠺ࢫࣥࢢࡍࡿࡇࡀ᭱ࡶ㔜せ࡛࠶ࡿ㸬
IV. ࡚ࡢ⿕㦂⪅࡛㸪ࢫࣥࢢࡢ㏿ᗘࣥࣃࢡࢺࡢṇ☜ࡉࡢ㛫ࡣࢺ࣮ࣞࢻ࢜ࣇࡢ㛵 ಀࡀࡳࡽࢀࡎ㸪㐠ື࢚ࢿࣝࢠ࣮ࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡇࡀ࡛ࡁࡓヨᢏ࡛ࡣ㸪ࡁ࡞ࢫ
ࣥࢢ㏿ᗘ࡛ࣂࢵࢺࡢⰺ㏆ࢆࣥࣃࢡࢺࡋ࡚࠸ࡓ㸬
V. ὶࡋᡴࡕ࠾ࡅࡿᡴ⌫ࡢᕥྑゅࡣ㸪Ỉᖹ㠃ୖᢞᙳࡋࡓࣥࣃࢡࢺࡢࣂࢵࢺࡢ᪉
(Ỉᖹࣂࢵࢺゅ) ࡼࡗ࡚ࡢࡳ࡛ࡣㄝ᫂ࡉࢀࡎ㸪ࣂࢵࢺ࣊ࢵࢻࡢୗྥࡁഴᩳ (㖄┤ࣂࢵ
ࢺゅ) ࣂࢵࢺࡢୖ㒊ࡢ⾪✺ (ࣥࢲ࣮࢝ࢵࢺ㸸⾪ᧁ⥺ゅᗘ) ࡼࡿ┦స⏝ࡢᙳ 㡪ࡶཷࡅ࡚࠸ࡓ㸬
VI. ὶࡋᡴࡕࢆྍ⬟ࡍࡿࣥࣃࢡࢺ≉ᛶࢆ㈉⊩ᗘࡋ࡚⟬ฟࡋࡓࡇࢁ㸪ࣥࣃࢡࢺ
ࡢỈᖹࣂࢵࢺゅࡼࡗ࡚㈉⊩ᗘࡢࡁࡉࡀኚࡋ࡚࠸ࡃࡶࡢࡢ㸪ヨᢏࡢ70%࡛ࣥ
ࣃࢡࢺࡢỈᖹࣂࢵࢺゅ㉳ᅉࡍࡿ➨1࣓࢝ࢽࢬ࣒ࡼࡾࡶ㸪㖄┤ࣂࢵࢺゅ⾪ᧁ⥺ゅ ᗘࡢ┦స⏝㉳ᅉࡍࡿ➨2࣓࢝ࢽࢬ࣒ࡢ㈉⊩ࡀࡁࡗࡓ㸬
௨ୖࡢ▱ぢࡣ㸪Ꮫ㔝⌫㑅ᡭࢆᑐ㇟ࡋ࡚ᚓࡽࢀࡓࡶࡢ࡛࠶ࡾ㸪ࡇࢀࡽࡢ⌧㇟ࡘ࠸࡚
ࡣ࡚ࡢ⇍⦎ࡋࡓ㔝⌫㑅ᡭᑐࡋ୍࡚⯡࡛ࡁࡿ࠺ࡣ࡛᫂࠶ࡿ㸬ࡲࡓ㸪ࢭࣥࢱ࣮
㏉ࡋࢆᑐ㇟ࡋࡓ2❶࣭3❶ࡢ◊✲࡛ࡣ㸪ࣥࣃࢡࢺࣃ࣓࣮ࣛࢱࢆࣂࢵࢺᑐࡍࡿ࣮࣎ࣝ
ࡢࣥࣃࢡࢺ⨨ࡋ࡚ホ౯ࡋ࡚࠾ࡾ㸪ࣂࢵࢺ⮬యࡀࡢ᪉ྥྥ࠸࡚࠸ࡿࡢ࠸࠺Ⅼ
ࡣ╔┠ࡋ࡚࠸࡞ࡗࡓ㸬ࡋࡋ㸪4 ❶ࡢὶࡋᡴࡕࡢ◊✲ࡽ᫂ࡽࡉࢀࡓࡼ࠺㸪
ࣥࣃࢡࢺࡢࣂࢵࢺࡢ᪉ࡀᡴ⌫࠼ࡿᙳ㡪ࡣ㠀ᖖࡁࡃ㸪ࣂࢵࢺࡢ᪉ᡴ⌫㏿ᗘ
ࡢ㛵ಀࡘ࠸࡚ࡶ╔┠ࡍࡿᚲせࡀ࠶ࡿ㸬ࡑࡇ࡛⥲ᣓㄽ㆟࡛ࡣ㸪ࡼࡾ➇ᢏࣞ࣋ࣝࡢ㧗࠸ࣉ
ࣟࡸ♫ே㑅ᡭࡢࢫࣥࢢࡢ≉ᚩࢆᑟࡁฟࡋ㸪࡚ࡢ⇍⦎⪅ᑐࡋ୍࡚⯡࡛ࡁࡿࢆ☜
ㄆࡍࡿ㸬ࡑࡋ࡚㏿ᗘࡢࡁ࡞ᡴ⌫ࡀࡢࡼ࠺࡞ࣥࣃࢡࢺࡼࡗ࡚ᚓࡽࢀࡿࡢࢆᡴ⌫᪉
ྥẖ᳨ウࡍࡿ㸬
1
1. ࣉ࣭ࣟ♫ேࢆྵࡵࡓ⇍⦎ࡋࡓ㔝⌫㑅ᡭࡢ୍⯡
1.1 Ϩ㸸ṇ㠃⾪✺ࡢ㔜せᛶࡘ࠸࡚
2❶࣭3❶ࡢ◊✲࡛ࡣ㸪ṇ㠃⾪✺ࡼࡿࣥࣃࢡࢺࡢ㔜せᛶࡀ♧ࡉࢀࡓ㸬ࡑࡇ࡛㸪ྠᵝ ࡢ⤖ᯝࡀࡼࡾ➇ᢏࣞ࣋ࣝࡢ㧗࠸㑅ᡭ࡛ࡶᚓࡽࢀࡿࡢ࠺ࢆㄪᰝࡍࡿࡓࡵ㸪ࣉࣟ㔝⌫
㑅ᡭ31ྡ♫ே㔝⌫㑅ᡭ12ྡࢆᑐ㇟ᐇ㦂ࢆ⾜ࡗࡓ㸬ᡴ⌫ࡢᅇ㌿㏿ᗘࡸ㣕㊥㞳ࢆィ ࡋ࡚࠸࡞ࡗࡓࡓࡵ㸪ᡴ⌫㏿ᗘࢆ㸪ᅇ㌿ࢆྵࢇࡔᡴ⌫ࡢ㐠ື࢚ࢿࣝࢠ࣮ྠ➼࡞ᣦᶆࡋ
࡚ᢅ࠺ࡇࡍࡿ㸬ࡑࡢ⤖ᯝ㸪⾪ᧁ⥺ࢫࣥࢢ㌶㐨ࡢᕪ [⾪ᧁ⥺ゅᗘ̺ࢫࣥࢢゅ] ᡴ⌫㏿ᗘࡢ㛫ࡣ㸪0r㏆ࢆ㡬Ⅼࡍࡿ2ḟࡢᅇᖐ᭤⥺ࡀᚓࡽࢀࡓ (ᅗ5-1)㸬ࡍ࡞ࢃࡕ ࡇࡢ⤖ᯝࡣ㸪࣮࣎ࣝᑐࡋ࡚ࡼࡾࡁ࡞ᧁຊࢆస⏝ࡉࡏᚓࡿṇ㠃⾪✺ࡼࡿࣥࣃࢡࢺ
ࡼࡗ࡚㸪᭱ࡶࡁ࡞ᡴ⌫㏿ᗘࡀグ㘓ࡉࢀࡓࡇࢆ♧ࡋ࡚࠸ࡿ㸬୍᪉࡛㸪ࡇࡢᅗࡽࡣ㸪ࣇ
ࣛࢆᡴࡕୖࡆࡿࡼ࠺࡞ࡁ࡞ࢵࣃ࣮ࢫࣥࢢࡸ㸪ࢦࣟࢆ྇ࡁࡘࡅࡿࡼ࠺࡞ࢲ࢘ࣥࢫ
ࣥࢢ࡛࠶ࡗ࡚ࡶ㸪ṇ㠃⾪✺ࡼࡿࣥࣃࢡࢺ࡛࠶ࢀࡤࡁ࡞ᡴ⌫㏿ᗘࡀᚓࡽࢀࡿࡶゎ㔘
࡛ࡁࡿ㸬ࡑࡇ࡛㸪ࡢ᪉ྥᨺࡓࢀࡓᡴ⌫ࡀࡁ࡞㏿ᗘࢆグ㘓ࡋ࡚࠸ࡓࡢࢆᅗ5-2♧
ࡋࡓ㸬40m/s௨ୖࡢ㏿ᗘࢆグ㘓ࡋࡓᡴ⌫ࡣ㸪ୗྥࡁ15rࡽୖྥࡁ30rࡢ⠊ᅖ࡛࠶
ࡗࡓ㸬୍᪉㸪ᆅ㠃ࡼࡾ1mࡢ㧗ࡉ࡛ࣥࣃࢡࢺࡋࡓ௬ᐃࡍࡿ㸪15rୗྥࡁᨺࡓࢀࡓ ᡴ⌫ࡣ㸪3.7m ᆅⅬ࡛ࣂ࢘ࣥࢻࡍࡿࡇ࡞ࡿ㸬ࡍ࡞ࢃࡕ㸪ᐇ㉁ⓗໃ࠸ࡢ࠶ࡿᡴ⌫ࢆᨺ ࡘࡓࡵࡢ᪉⟇ࢆ⪃࠼ࡿ㸪ࣂ࢘ࣥࢻࡢᗘῶ㏿ࡍࡿࡼ࠺࡞ᙉ࠸ࢦࣟࡼࡾࡶ㸪0㹼25r㏆
ࡢࣛࢼ࣮ᛶࡢᡴ⌫ࡀ᭷ຠ⪃࠼ࡽࢀࡿࡓࡵ㸪ࡇࢀࡽࡢᡴ⌫ࢆࡶࡓࡽࡍࡼ࠺࡞ẚ㍑ⓗᑠࡉ
࡞⾪ᧁ⥺ゅᗘ (ᡴ⌫㏿ᗘ 40m/s௨ୖࡢሙྜ㸸8.9s8.7r) ࡼࡿࣥࣃࢡࢺࡀ᭷ຠ᥎ᐹ ࡉࢀࡿ㸬ࡇࡢ⤖ᯝࡣ㸪3❶࡛ᚓࡽࢀࡓᏛ⏕ࢆᑐ㇟ࡋ࡚ᚓࡽࢀࡓࢹ࣮ࢱ (ᅗ3-6) ᴫࡡ
୍⮴ࡋ࡚࠸ࡓ㸬Sawicki et al. (2003) ࡣ㸪9rࡢࢫࣥࢢゅ࡛ࣥࣃࢡࢺࡋࡓᡴ⌫ࡀ㸪ୖྥ
ࡁ25rࡢ᪉ྥᨺࡓࢀࡓሙྜ᭱ࡶ㣕㊥㞳ࡀ㛗ࡃ࡞ࡿሗ࿌ࡋ࡚࠸ࡿࡀ㸪ᮏ◊✲࠾࠸࡚
ࡶ25rࢆୖᅇࡿゅᗘ࡛ᡴ⌫ࡀᨺࡓࢀࡓሙྜ㏿ᗘࡀపୗࡋ࡚࠸ࡓ㸬௨ୖࢆ㋃ࡲ࠼㸪ᡴ⪅ࡣ
㏿ᗘࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵࡣ㸪ᢞ⌫ᑐࡋ࡚ṇ㠃⾪✺ࡉࡏࡿࡼ࠺࡞ࢫࣥࢢ㌶㐨࡛
ࣥࣃࢡࢺࡉࡏࡿࡇࡀ㔜せ࡛࠶ࡾ㸪ࡑࡢୖ࡛㏿ᗘࡢࡁ࡞ᡴ⌫ࡀࣛࢼ࣮ᛶࡢᙎ㐨࡛ᚓࡽ
ࢀࡿࡇࡽ㸪㐣ᗘ࡞ࢵࣃ࣮ࢫࣥࢢ࡛ṇ㠃⾪✺ࡉࡏࡿࡁ࡛ࡣ࡞࠸࠸࠼ࡿ㸬
ᅗ ⾪ᧁ⥺ࢫࣥࢢ㌶㐨ࡢᕪ>⾪ᧁ⥺ゅᗘࢫࣥࢢゅ@ᡴ⌫㏿ᗘࡢ㛵ಀ㸬⾪ᧁ⥺
ᑐࡋ࡚࣮࣎ࣝࡢୗഃࢆᡴᧁࡍࡿࡼ࠺࡞ࢫࣥࢢ㌶㐨ࡣࣉࣛࢫ࡞ࡾ㸪࣮࣎ࣝࡢୖ
ഃࢆᡴᧁࡍࡿࡼ࠺࡞ࢫࣥࢢ㌶㐨ࡢሙྜࡣ࣐ࢼࢫ࡞ࡿ㸬 y = -0.01 x2- 0.05 x + 39.41
R² = 0.58
0 5 10 15 20 25 30 35 40 45 50
-40 -20 0 20 40 60 80
ᡴ⌫㏿ᗘ(m/s)
⾪ᧁ⥺ゅᗘ䠉䝇䜲䞁䜾ゅ(㼻) (䠇)
1
1.2 ϩ㸸③Ⅿ࡞ᡴ⌫ࢆᨺࡘࡓࡵᚲせ࡞ࢫࣥࢢ
㏿ᗘࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵᚲせ࡞ࢫࣥࢢࢆ☜ࡵࡿࡓࡵ㸪࣊ࢵࢻ㏿ᗘᡴ⌫㏿
ᗘࡢ㛵㐃ࢆࡳࡓ (ᅗ 5-3)㸬ᡴ⌫㏿ᗘࡣ㸪ࣥࣃࢡࢺ⨨ࡢᙳ㡪ࢆཷࡅࡿࡓࡵ࣊ࢵࢻ㏿ᗘ
ࡢ㛵㐃ࡣᑠࡉࡗࡓ㸬࡞࠾㸪ᅗ5-3ࡢ࣊ࢵࢻ㏿ᗘᑐࡍࡿᡴ⌫㏿ᗘࡢ್᭱ࢆ♧ࡍഴᩳ
ࡋࡓ㟷Ⰽࡢࣛࣥࡣ㸪ྛ࣊ࢵࢻ㏿ᗘ࡛᭱㐺࡞ࣥࣃࢡࢺࢆ⾜ࡗࡓ㝿ࡶࡓࡽࡉࢀࡿ᭱ࡢ ᅗ ᡴ⌫㏿ᗘࡢศᕸᅗ㸬ᡴ⌫ࡢୖୗゅᡴ⌫㏿ᗘࡢ㛵ಀࢆᴟᗙᶆ⣔ୖ♧ࡋࡓࡶࡢ࡛
࠶ࡾ㸪ࡢ୰ᚰࡽ㞳ࢀࡓࣉࣟࢵࢺᡴ⌫㏿ᗘࡀࡁࡗࡓࡇࢆ♧ࡋ࡚࠸ࡿ㸬 ᡴ⌫㏿ᗘ
㻔㼙㻛㼟㻕
䝷䜲䝘䞊
r
r
r r
r r
r
䝣䝷䜲
䝂䝻
-50 -40 -30 -20 -10 0 10 20 30 40 50
-50 -40 -30 -20 -10 0 10 20 30 40 50
ᡴ⌫㏿ᗘࢆ♧ࡋ࡚࠸ࡿ㸬ࡑࡋ࡚㸪ࡇࡢࣛࣥࡣḟᘧࡼࡗ࡚⾲ࡉࢀࡿ㸬 ᡴ⌫㏿ᗘ(m/s) = 1.1 ×࣊ࢵࢻ㏿ᗘ(m/s) + 5
ࡇࡢᘧࡼࡿ㸪40m/s௨ୖࡢᡴ⌫㏿ᗘࢆグ㘓ࡍࡿࡣ㸪ᑡ࡞ࡃࡶ31.8m/sࡢ࣊ࢵࢻ㏿
ᗘࡀᚲせ࡛࠶ࡾ㸪 45m/s ௨ୖࡢᡴ⌫㏿ᗘࢆグ㘓ࡍࡿࡣ㸪ᑡ࡞ࡃࡶ36.4m/s ࡢ࣊ࢵࢻ
㏿ᗘࡀᚲせ࡛࠶ࡿ㸬ࡘࡲࡾ㸪ࡁ࡞㏿ᗘࡢᡴ⌫ࢆᨺࡘࡓࡵࡣࣥࣃࢡࢺࡢṇ☜ࡉࡀ᭱ࡶ
㔜せ࡛ࡣ࠶ࡿࡶࡢࡢ㸪ྛ㑅ᡭࡢᡴ⌫㏿ᗘࡢ್᭱ࢆྥୖࡉࡏࡿࡣ㸪࣊ࢵࢻ㏿ᗘࢆቑຍࡉ ࡏࡿࡇࡀᚲせྍḞ࡛࠶ࡿ㸬࡞࠾㸪Nathan (2003) ࡀ㐠ື㔞࣭ゅ㐠ື㔞ಖᏑࡢἲ๎ࢆඖ
ᑟฟࡋࡓᘧࡣ㸪ࣂࢵࢺࡢⰺ࡛ࣥࣃࢡࢺࡋࡓࡇࢆ௬ᐃࡋ㸪ࡘᢞ⌫㏿ᗘࡀຍࢃࡗࡓḟ ᘧࡼࡗ࡚⾲ࡉࢀࡿ㸬
ᡴ⌫㏿ᗘ= 1.2 ×ࣥࣃࢡࢺ⨨ࡢ㏿ᗘ+ 0.2 ×ᢞ⌫㏿ᗘ (Nathan 2003) ᮏ◊✲࠾ࡅࡿᢞ⌫㏿ᗘࡣࣂࣛࡘࡁ (26.2 ~ 33.8 m/s) ࡀࡳࡽࢀࡓࡀ㸪ᖹᆒ್ (29.4s
5.0 m/s) ࢆ⏝࠸࡚ᘧᢞධࡍࡿ㸪ḟࡢࡼ࠺⾲ࡉࢀࡿ㸬
ᡴ⌫㏿ᗘ= 1.1 ×࣊ࢵࢻ㏿ᗘ+ 0.17 ×ᢞ⌫㏿ᗘ
ྛኚᩘᑐࡍࡿಀᩘࡀࢃࡎ␗࡞ࡿࡶࡢࡢ㸪Nathan (2003) ࡢᘧ㢮ఝࡋ࡚࠸ࡓ㸬ࡍ࡞
ࢃࡕ㸪㏿ᗘࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵࡣࣂࢵࢺࡢⰺ࡛ᤊ࠼ࡿࡇࡀ᭱ࡶ㔜せ࡛ࡣ࠶ࡿࡶࡢ ࡢ㸪࠶ࡿ࣊ࢵࢻ㏿ᗘࡽࡶࡓࡽࡉࢀࡿᡴ⌫㏿ᗘࡣୖ㝈ࡀ࠶ࡿࡓࡵ㸪ୖᘧࡣᡴ⌫㏿ᗘࡢ᭱
್ࢆቑຍࡉࡏࡿࡓࡵࡣ㸪ᡴ⪅⮬㌟ࡢᣢࡘ࣊ࢵࢻ㏿ᗘࡢ್᭱ࢆቑຍࡉࡏࡿᚲせࡀ࠶ࡿ
ࡇࢆ♧ࡍࡶࡢ࡛࠶ࡿ㸬௨ୖࡼࡾ㸪㏿ᗘࡢࡁ࡞ᡴ⌫ࢆᨺࡘࡓࡵࡣ㸪࣊ࢵࢻ㏿ᗘࢆ㧗ࡵ
ࡿࡶ㸪๓㏙ࡋࡓࡼ࠺ࣛࢼ࣮ᛶࡢᙎ㐨ࡀᚓࡽࢀࡿࡼ࠺࡞ṇ㠃⾪✺㏆࠸ࢫࣥࢢ
㌶㐨࡛ࣥࣃࢡࢺࡉࡏࡿࡇࡀ㔜せ࠸࠼ࡿ㸬
1
1.3 Ϫ㸸ࢫࣥࢢࣥࣃࢡࢺࡢᡴ⌫㏿ᗘ㈉⊩ࡍࡿྜ
3❶࠾࠸࡚㸪ᡴ⌫ࡢ㐠ື࢚ࢿࣝࢠ࣮ࡢኚືࡀࢫࣥࢢࡢ㏿ᗘࣥࣃࢡࢺ⨨ࡢྛኚ
ᩘࡼࡗ࡚ࡢ⛬ᗘㄝ᫂ࡉࢀࡿࡢࢆ㸪Ꮫ⏕㑅ᡭࢆᑐ㇟᳨ウࡋࡓ㸬ྠᵝࡢ⤖ᯝࡀᢏ⾡
ࣞ࣋ࣝࡢ㧗࠸㑅ᡭ࡛ࡶᚓࡽࢀࡿࡢ࠺ࢆ㸪ୖグྠᵝࡢࢹ࣮ࢱࢭࢵࢺ (ࣉ࣭ࣟ♫ே
㑅ᡭ) ࢆ⏝࠸᳨࡚ウࡋࡓ㸬ᚑᒓኚᩘࢆᡴ⌫㏿ᗘ㸪⊂❧ኚᩘࢆ⾪ᧁ⥺ゅᗘ࣭ⰺࡽ (ࣥࣃ
ࢡࢺ⨨ࡲ࡛) ࡢ㊥㞳࣭࣊ࢵࢻ㏿ᗘ࣭ࢫࣥࢢゅࡍࡿࢫࢸࢵࣉ࣡ࢬࡢ㔜ᅇᖐศᯒࢆ⾜
R² = 0.05
15 20 25 30 35 40 45 50
25 30 35 40 45
ᡴ⌫㏿ᗘ(m/s)
䝦䝑䝗㏿ᗘ(m/s)
ᅗ ࣉ࣭ࣟ♫ே㑅ᡭᏛ⏕㑅ᡭࡢ࣊ࢵࢻ㏿ᗘᡴ⌫㏿ᗘ㸬㉥Ⰽࡢ༑Ꮠࡣᖹᆒ್ࢆ
♧ࡋ࡚࠾ࡾ㸪㟷Ⰽࡢࣛࣥࡣ࣊ࢵࢻ㏿ᗘࡢኚືᑐࡍࡿᡴ⌫㏿ᗘࡢ್᭱ࢆ㏆ఝ ࡍࡿ┤⥺ࢆ♧ࡋ࡚࠸ࡿ㸬
ࣉ࣭ࣟ♫ே㑅ᡭ Ꮫ⏕㑅ᡭ
࣭࣊ࢵࢻ㏿ᗘ㸸 s PV
࣭ᡴ⌫㏿ᗘ 㸸 s PV
࣭࣊ࢵࢻ㏿ᗘ㸸 s PV
࣭ᡴ⌫㏿ᗘ 㸸 s PV R² = 0.33
15 20 25 30 35 40 45 50
25 30 35 40 45
ᡴ⌫㏿ᗘ(m/s)
䝦䝑䝗㏿ᗘ(m/s)
ࡗࡓ㸬ࡑࡢ⤖ᯝ㸪ᡴ⌫㏿ᗘࡢኚືࡣࣉࣟ㔝⌫㑅ᡭ࡛ࡣ78%㸪♫ே㑅ᡭ࡛ࡣ77%ࡀ⊂❧ኚ
ᩘࡼࡗ࡚ㄝ᫂ࡉࢀࡓ (ᅗ5-4)㸬ࡇࡢ⤖ᯝࡣ㸪Ꮫ⏕㑅ᡭ࠾ࡅࡿࢹ࣮ࢱࢆ⏝࠸ࡓሙྜ
ࡢᐤ⋡ (77%) ࡰ୍⮴ࡋ࡚࠸ࡓ (ᅗ5-4)㸬୍᪉࡛㸪ྛኚᩘࡢྜ╔┠ࡍࡿ㸪ࣉࣟ
ࡸ♫ே㑅ᡭࡢ᪉ࡀ㸪Ꮫ⏕㑅ᡭࡼࡾࡶࢫࣥࢢࡼࡿ㈉⊩ (࣊ࢵࢻ㏿ᗘ࣭ࢫࣥࢢゅ) ࡀ ᑠࡉࡃ㸪ࣥࣃࢡࢺ⨨ࡼࡿ㈉⊩ (⾪ᧁ⥺ゅᗘ࣭ⰺࡽࡢ㊥㞳) ࡀࡁࡗࡓ㸬ࡍ࡞ࢃ
ࡕ㸪ࣉࣟࡸ♫ே㑅ᡭࡢグ㘓ࡋࡓᡴ⌫㏿ᗘࡣ㸪ࡑࡢ7㏆ࡃࡀࣥࣃࢡࢺ⨨ࡢኚືࡼ
ࡗ࡚ᕥྑࡉࢀࡓࡇ࡞ࡾ㸪࣊ࢵࢻ㏿ᗘࡢኚືࡼࡿᙳ㡪ࡣᑠࡉࡗࡓࡇ࡞ࡿ㸬ࡑࡢ ཎᅉࢆࣥࣃࢡࢺ⨨ᡴ⌫㏿ᗘࡢ㛵ಀࡽ☜ㄆࡋ࡚࠸ࡃ㸬ᅗ5-5ࡢྛࣉࣟࢵࢺࡣ㸪ࣂࢵ
ࢺࡢࡢ⨨࣮࣎ࣝࡀ⾪✺ࡋ࡚࠸ࡓࡢࢆ♧ࡋ࡚࠾ࡾ㸪ᡴ⌫㏿ᗘࡼࡗ࡚Ⰽࡀ␗࡞ࡿ㸬
ࣂࢵࢺࡢⰺࡽ㞳ࢀࡓࣥࣃࢡࢺ㸪ᡴ⌫㏿ᗘࡀᑠࡉࡃ࡞ࡗ࡚࠸ࡓ࠸࠺ഴྥࡣ㐪࠸
ࡀ࡞ࡗࡓࡶࡢࡢ㸪᭱ࡶ㏿ᗘࡢᑠࡉ࡞30m/sᮍ‶ࡢࣉࣟࢵࢺࡣ㸪ࣉ࣭ࣟ♫ே࡛ࡣⰺ㏆
ࢆᇶ‽ࡸࡸࢢࣜࢵࣉᐤࡾ㸪ࡘࣂࢵࢺࡢୖ㒊ࡢ⾪✺࡛ከࡃࡳࡽࢀࡓ㸬3 ❶ࡢᏛ⏕㑅 ᡭࢆᑐ㇟ࡋࡓᐇ㦂࡛ࡣ㸪ࣇ࢙ࢢࣛ࢘ࣥࢻᨺࡓࢀࡓヨᢏࡢࡳࢆ㞟ࡋ࡚࠸ࡿࡀ㸪ࣉ࣭ࣟ
♫ே㑅ᡭࡢࢹ࣮ࢱࡣ㸪ࣂࢵࢺゐࢀࡓ࡚ࡢヨᢏࢆᑐ㇟ࡋ࡚࠸ࡿ㸬ࡇࡢࡇࡽ㸪ࣂ
ࢵࢺࡢୖ㒊ࡢ⾪✺ࡼࡗ࡚ࣇ࣮ࣝ࡞ࡿᡴࡕᦆࡌࡀከࡗࡓࡇࡀ㸪ࣥࣃࢡࢺ⨨
ࡢᙳ㡪ࢆᙉࡃཷࡅࡓཎᅉࡢ୍ࡘ⪃࠼ࡽࢀࡿࡀ㸪ࡇࢀࡽࡀ➇ᢏࣞ࣋ࣝࢆᫎࡋ࡚࠸ࡓ
࠺ࡣ࡛᫂࠶ࡿ㸬ࡲࡓ㸪࣊ࢵࢻ㏿ᗘᡴ⌫㏿ᗘࡢ㛵㐃࡛ࡳ࡚࠸ࡃ㸪Ꮫ⏕㑅ᡭ (R2= 0.33) ࡼࡾࡶࣉࣟࡸ♫ே㑅ᡭ (R2= 0.05) ࡢ᪉ࡀ㸪୧⪅ࡢ㛵㐃ࡀᑠࡉࡗࡓ (ᅗ5-3)㸬௨
ୖࡼࡾ㸪Ꮫ㔝⌫㑅ᡭ࡛ᚓࡽࢀࡓ▱ぢࡣ㸪➇ᢏࣞ࣋ࣝࡢ㧗࠸ࣉࣟࡸ♫ே㑅ᡭẚ㍑ࡋ࡚㸪 ᡴ⌫㏿ᗘࡢኚືせᅉᑐࡋ࡚ࣥࣃࢡࢺ⨨ࡢ㈉⊩ࡍࡿྜࡀࣉࣟࡸ♫ே㑅ᡭࡢࢹ࣮ࢱ ࡢ᪉ࡀ㧗ࡗࡓࡶࡢࡢ㸪ࡑࡢࡣᴫࡡ୍⮴ࡋ࡚࠸ࡓ㸬ࡋࡋ࡞ࡀࡽ㸪࣮࣎ࣝࣥࣃࢡࢺ
㛵ࡋ࡚㸪➇ᢏࣞ࣋ࣝࡢ㧗࠸㑅ᡭࡀఱࢆᣢࡗ࡚ඃࢀ࡚࠸ࡿࡢࢆ☜ㄆ࡛ࡁ࡚࠸࡞࠸ࡓࡵ㸪ࡇ
ࢀࡽࡢ≉ᚩࢆぢฟࡍࡇࡀᚋࡢ◊✲ㄢ㢟࡞ࡿ㸬
ᅗ ࣉ࣭ࣟ♫ே㑅ᡭୖẁᏛ⏕㑅ᡭୗẁ࠾ࡅࡿࣂࢵࢺᑐࡍࡿ࣮࣎ࣝࡢࣥࣃࢡࢺ⨨
ᡴ⌫㏿ᗘࡢ㛵ಀ
Ꮫ⏕㑅ᡭ
ࣉ࣭ࣟ♫ே㑅ᡭ
-3 -2 -1 0 1 2 3
0 5 10 15 20 25 30 35
(cm)
ᡴ⌫㏿ᗘ 㻔㼙㻛㼟㻕 㻠㻜䡚㼍㼍 㼍 㻟㻡䡚㻠㻜㼍 㻟㻜䡚㻟㻡㼍 㼍㼍䡚㻟㻜㼍
(cm)
-3 -2 -1 0 1 2 3
0 5 10 15 20 25 30 35
ᡴ⌫㏿ᗘ 㻔㼙㻛㼟㻕 㻠㻜䡚㼍㼍 㼍 㻟㻡䡚㻠㻜㼍 㻟㻜䡚㻟㻡㼍 㼍㼍䡚㻟㻜㼍 ᅗ ᡴ⌫㏿ᗘ࠶ࡿ࠸ࡣᡴ⌫ࡢ㐠ື࢚ࢿࣝࢠ࣮㈉⊩ࡍࡿࢫࣥࢢ≉ᛶࣥࣃࢡࢺࣃ
࣓࣮ࣛࢱ㸬ᚑᒓኚᩘࡢኚືࡀ㸪⊂❧ኚᩘࡼࡗ࡚ఱㄝ᫂ࡉࢀࡓࡢࢆ♧ࡋ࡚࠸ࡿ㸬 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
Ꮫ⏕
♫ே
䝥䝻㔝⌫ 52%
48%
23%
17%
19%
32%
7%
7%
22%
1%
2%
⾪ᧁ⥺ゅᗘ ⰺ䛛䜙䛾㊥㞳
䝦䝑䝗㏿ᗘ 䝇䜲䞁䜾ゅ
•䝇䜲䞁䜾䛾㈉⊩
•䜲䞁䝟䜽䝖䛾㈉⊩
1
1.4 ϫ㸸ࢫࣆ࣮ࢻṇ☜ࡉࡢࢺ࣮ࣞࢻ࢜ࣇࡘ࠸࡚
ࢫࣥࢢࡢࢫࣆ࣮ࢻࣥࣃࢡࢺࡢṇ☜ࡉࡢ㛫ࢺ࣮ࣞࢻ࢜ࣇࡢ㛵ಀࡀᏑᅾࡍࡿ
࠺ࢆ᳨ドࡍࡿࡓࡵ㸪࣊ࢵࢻ㏿ᗘᑐࡍࡿ㸪⾪ᧁ⥺ゅᗘࡢ⤯ᑐ್ⰺࡽࣥࣃࢡࢺ
⨨ࡲ࡛ࡢ㊥㞳ࡢ㛵㐃ࢆ᳨ドࡋࡓ (ᅗ5-6)㸬࣊ࢵࢻ㏿ᗘ⾪ᧁ⥺ゅᗘࡢ㛫ࡣ᭷ព࡞
ṇࡢ┦㛵ࡀㄆࡵࡽࢀ (r = 0.12, p < 0.01)㸪࣊ࢵࢻ㏿ᗘࡀࡁ࡞ヨᢏ⾪ᧁ⥺ゅᗘࡀࡁ
ࡗࡓ㸬ࡍ࡞ࢃࡕࡇࡢ⤖ᯝࡣ㸪࣊ࢵࢻ㏿ᗘࢆᢚ࠼ࡿࡇ࡛ࣂࢵࢺࡢ▷㍈᪉ྥ࠾ࡅࡿࣥ
ࣃࢡࢺࡢṇ☜ࡉࢆ㧗ࡵ࡚࠸ࡓࡇࢆ♧ࡋ࡚࠸ࡿࡀ㸪୧⪅ࡢㄝ᫂⋡ࡣపࡗࡓ(R2= 0.02)㸬
ࡲࡓ㸪࣊ࢵࢻ㏿ᗘⰺࡽࡢ㊥㞳ࡢ㛫ࡣ᭷ព࡞┦㛵㛵ಀࡣㄆࡵࡽࢀ࡞ࡗࡓ (r = 0.04,
p > 0.3)㸬㑅ᡭಶࠎࡢ࣊ࢵࢻ㏿ᗘࡢ್ࡀ␗࡞ࡿࡓࡵ୍ᴫࡣゝ࠼࡞࠸ࡶࡢࡢ㸪ࣉࣟࡸ♫ே
㑅ᡭࢆᑐ㇟ࡋࡓሙྜ㸪ࢫࣥࢢࡢࢫࣆ࣮ࢻࣥࣃࢡࢺࡢṇ☜ࡉࡢ㛫ࡣ㸪ࣂࢵࢺࡢ
▷㍈᪉ྥ࡛ࡣࢃࡎ࡞ࢺ࣮ࣞࢻ࢜ࣇࡀࡳࡽࢀࡓࡶࡢࡢ㸪㛗㍈᪉ྥࡣࢺ࣮ࣞࢻ࢜ࣇࡢ㛵ಀ ࡣࡳࡽࢀ࡞ࡗࡓ㸬ᚑࡗ࡚㸪ࣂࢵࢺࢥࣥࢺ࣮ࣟࣝࢆ㔜どࡍࡿࡓࡵ࣊ࢵࢻ㏿ᗘࢆᢚ࠼ࡿࡼ
࠺࡞ࢫࣥࢢࡣ㐺ࡋ࡚࠾ࡽࡎ㸪⮬㌟ࡢ᭱Ⰻࡢࢫࣥࢢࢆᚰࡀࡅࡿࡇࡀ㔜せゝ࠼ࡼ࠺㸬
ᅗ ࣊ࢵࢻ㏿ᗘᑐࡍࡿ⾪ᧁ⥺ゅᗘⰺࡽࡢ㊥㞳 0
2 4 6 8 10 12 14 16
25 30 35 40 45
ⰺ䛛䜙䛾㊥㞳(cm)
䝦䝑䝗㏿ᗘ(m/s)
y = 0.04 x + 1.96 r = 0.03
y = 0.80 x - 10.85 r = 0.12, p<0.01
0 10 20 30 40 50 60 70 80
25 30 35 40 45
⾪ᧁ⥺ゅᗘ[⤯ᑐ್](㼻)
䝦䝑䝗㏿ᗘ(m/s)
1