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8/20/2019 Examples GyroscopicInertia
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Gyroscopic inertia
Examples
8/20/2019 Examples GyroscopicInertia
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A gyro at Latitude 28° 00’N was setpointing horizontal with it’s axlepointing 070°T (Amplitude E20°N).
What will be the maximum tilt
up and the direction.
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Pn
Z
Sin Ampl = Sin Decl x Sec lat
2 hr later 4 hr later
Max tilt
Q
Latitude 28° 00’N
Amplitude E20°N
A
W E
Declination:16° 34.’6N
Direction: SouthMaximum Tilt: 79 ° 34.’6
Ps
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10°
30°
50°
70°
Sea horizon
20° 140°60° 100°
East-10°
90°
20°40°60°80°
WestSea horizon
T i l t
Drift
A
2 hr later
4 hr later
6.6 hr later
Latitude 28° 00’N
Amplitude E20°N
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A gyro at Latitude 20° 00’N was setpointing horizontal with it’s axlepointing 068°T (Amplitude E22°N).
What will be the maximum tilt
up and the direction.
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Pn
A
Z
Sin Ampl = Sin Decl x Sec lat
2 hr later
4 hr later Max tilt
Latitude 20° 00’N
Amplitude E22°N
W E
Declination:20° 36.’6N
Direction: NorthMaximum Tilt: 89 ° 23.’4
Ps
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10°
30°
50°
70°
Sea horizon
20° 40° 60° 80°
East-10°
90°
20°40°60°80°
WestSea horizon
T i l t
Drift
A
2 hr later
4 hr later
6.5 hr later
Latitude 20° 00’N
Amplitude E22 °N
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PnLatitude 00° 00’
Axle horizontal andpointing North
A
No movement if maintainat the same place.
Movement of the
axle points northat the equator:
QW E
Ps
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10°
30°
50°
70°
Sea horizon
20° 40° 60° 80°
East-10°
90°
20°40°60°80°
WestSea horizon
T i l t
Drift
A
Latitude 00° 00’
Axle horizontal andpointing North
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Movement of theaxle points northat the equator:
Pn
W
Declination:
60° 00’N
A
Z
Maximum Tilt: 60°
00’NMaximum Drift: 35° 16’E/W
4 hr later
Max tilt
Q
Latitude 30° 00’N
Axle horizontal andpointing North Pn
Max Drift EMax Drift W
4 hrs later
Tilt: 12 ° 30’ Up
Drift: 26° 20’E
E
Ps
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10°
30°
50°
70°
Sea horizon
20° 40° 60° 80°
East-10°
90°
20°40°60°80°
WestSea horizon
T i l t
Drift
A
Latitude 30° 00’N
Axle horizontal andpointing North
4 hr later
8 hr later
12 hr later
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Thank you