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Continuous Mass Distributions. Gravitational Potential and Field

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Lectures in Classical Mechanics

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

We shall dedicate this chapter to the study of the gravitational potential and field, originated by continuous mass distributions. We will apply the obtained results to different geometries and mass density distributions. Special emphasis will made on potentials with spherical symmetry. Other additional exercises regarding satellites, stationary orbits and escape velocities are also proposed.

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Notes

  1. 1.

    We have only supposed that is convex (any straight line passes through the surface mostly twice) and differentiable.

Further Reading

  1. J.V. José, E.J. Saletan, Classical Dynamics: A Contemporary Approach. Cambridge University Press

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  2. S.T. Thornton, J.B. Marion, Classical Dynamics of Particles and Systems

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  3. H. Goldstein, C. Poole, J. Safko, Classical Mechanics, 3rd edn. Addison Wesley

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  4. J.R. Taylor, Classical Mechanics

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  5. D.T. Greenwood, Classical Dynamics. Prentice-Hall Inc.

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  6. D. Kleppner, R. Kolenkow, An Introduction to Mechanics

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  7. C. Lanczos, The Variational Principles of Mechanics. Dover Publications Inc.

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  8. W. Greiner, Classical Mechanics: Systems of Particles and Hamiltonian Dynamics. Springer

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  9. H.C. Corben, P. Stehle, Classical Mechanics, 2nd edn. Dover Publications Inc.

    Google Scholar 

  10. T.W.B. Kibble, F.H. Berkshire, Classical Mechanics. Imperial College Press

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  11. M.G. Calkin, Lagrangian and Hamiltonian Mechanics

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  12. A.J. French, M.G. Ebison, Introduction to Classical Mechanics

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  13. B.C. Consuelo, G.F. Antonio, R.D. Marcelo, Campos electromagnéticos. Editorial Universidad de Sevilla

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  14. J.D. Jackson, Classical Electrodynamics, 3rd edn.

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Authors and Affiliations

  1. Detectors for Molecular Imaging, Instituto de Instrumentacion para Imagen Molecular, Valencia, Spain

    Victor Ilisie

Authors
  1. Victor Ilisie
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Correspondence to Victor Ilisie .

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Ilisie, V. (2020). Continuous Mass Distributions. Gravitational Potential and Field. In: Lectures in Classical Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-38585-9_8

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