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

2. Reading – Chapter 1-3 of the textbook Lecture Note for week 1 – http://noise.earth.utah.edu/GEO3010/ Announcement

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

4. Earth Total Mass?

5. Earth Mass Equation of Gravity

6. Earth Mass Equation of Gravity Gravitational acceleration

7. How can we estimate Gravitational constant?

8. Gravitational Constant

9. Earth Mass G=6.67384 × 10 -11 m 3 kg -1 s -2 r=6,371 km g=9.8 m s -2 Equation of Gravity Gravitational acceleration

10. Earth Mass M≈5.96× 10 24 kg Equation of Gravity Gravitational acceleration

11. Any other way to estimate earth mass?

13. Earth Mass Equation of Gravity Centrifugal Force

14. Earth Mass Equation of Gravity Centrifugal Force

15. Earth Mass Equation of Gravity Centrifugal Force

16. Earth Mass Equation of Gravity Centrifugal Force

17. Earth Mass Equation of Gravity Centrifugal Force G=6.67384 × 10 -11 m 3 kg -1 s -2 r=385,000 km

18. Earth Mass Equation of Gravity Centrifugal Force G=6.67384 × 10 -11 m 3 kg -1 s -2 r=385,000 km T= 27.3 days

19. Earth Mass Equation of Gravity Centrifugal Force G=6.67384 × 10 -11 m 3 kg -1 s -2 r=385,000 km T= 27.3 days

20. Earth Mass Equation of Gravity Centrifugal Force M≈6 × 10 24 kg

21. Mass Distribution

22. Rock Density

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

24. Mass Distribution Volume of a sphere: R=385,000 km Earth radius: M≈5.96× 10 24 kg

25. Density increases with depth!

26. What Control Density?

27. H2OH2O

28. H2OH2O

29. Composition Pressure Temperature

30. Phase Transition

31. Constraining Mass Distribution using Moment of Inertia

33. Moment of Inertia of the Earth

34. Precession

36. Latsis foundation (2001)

37. Normal Model

38. String Mode

39. What is normal mode?

42. 2004 Sumatra earthquake (Park et al., 2005, Science)

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

44. 1D earth model