Examples GyroscopicInertia

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    Gyroscopic inertia

    Examples

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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