Mass Distribution of the Earth GEO-3010 University of Utah Fan-Chi Lin.

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Presentation transcript:

Mass Distribution of the Earth GEO-3010 University of Utah Fan-Chi Lin

Reading – Chapter 1-3 of the textbook Lecture Note for week 1 – Announcement

What do we know about the mass distribution of the Earth?

Earth Total Mass?

Earth Mass Equation of Gravity

Earth Mass Equation of Gravity Gravitational acceleration

How can we estimate Gravitational constant?

Gravitational Constant

Earth Mass G= × m 3 kg -1 s -2 r=6,371 km g=9.8 m s -2 Equation of Gravity Gravitational acceleration

Earth Mass M≈5.96× kg Equation of Gravity Gravitational acceleration

Any other way to estimate earth mass?

Earth Mass Equation of Gravity Centrifugal Force

Earth Mass Equation of Gravity Centrifugal Force

Earth Mass Equation of Gravity Centrifugal Force

Earth Mass Equation of Gravity Centrifugal Force

Earth Mass Equation of Gravity Centrifugal Force G= × m 3 kg -1 s -2 r=385,000 km

Earth Mass Equation of Gravity Centrifugal Force G= × m 3 kg -1 s -2 r=385,000 km T= 27.3 days

Earth Mass Equation of Gravity Centrifugal Force G= × m 3 kg -1 s -2 r=385,000 km T= 27.3 days

Earth Mass Equation of Gravity Centrifugal Force M≈6 × kg

Mass Distribution

Rock Density

Mass Distribution Volume of a sphere: R=385,000 km Earth radius:

Mass Distribution Volume of a sphere: R=385,000 km Earth radius: M≈5.96× kg

Density increases with depth!

What Control Density?

H2OH2O

H2OH2O

Composition Pressure Temperature

Phase Transition

Constraining Mass Distribution using Moment of Inertia

Moment of Inertia of the Earth

Precession

Latsis foundation (2001)

Normal Model

String Mode

What is normal mode?

2004 Sumatra earthquake (Park et al., 2005, Science)

Spheroidal and toroidal modes (Breathing mode, 20.5 min) (44 min)

1D earth model