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Books on the topic 'Gravity variations'

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Published: 10 March 2023

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1

Rapp, Richard H., Anny A. Cazenave, and R. Steven Nerem, eds. Global Gravity Field and Its Temporal Variations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61140-7.

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2

H, Rapp Richard, Cazenave Anny, and Nerem R. Steven 1960-, eds. Global gravity field and its temporal variations: Symposium no. 116, Boulder, CO, USA, July 12, 1995. Berlin: Springer, 1996.

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3

Toh, Hiroaki. Anomalies of geomagnetic and geoelectric variations at the seafloor around the Izu-Ogasawara Arc. Nakano-ku, Tokyo: Ocean Research Institute, University of Tokyo, 1995.

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4

Langenheim, Victoria E. Gravity data collected along the Los Angeles Regional Seismic Experiment (LARSE) and preliminary model of regional density variations in basement rocks, southern California. [Menlo Park, CA]: U.S. Geological Survey, 1996.

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5

Solomon, Sean C. Inversion of gravity and bathymetry in oceanic regions for long-wavelength variations in upper mantle temperature and composition: Final report to the National Aeronautics and Space Administration on NASA grant NAGW-3036. [Washington, DC]: The Administration, 1993.

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6

Soveshchanie, Akademii͡a nauk SSSR Mezhduvedomstvennyĭ geofizicheskiĭ komitet Komissii͡a po izuchenii͡u sily ti͡azhesti. Povtornye gravimetricheskie nabli͡udenii͡a: Sbornik nauchnykh trudov soveshchanii͡a Komissii po izuchenii͡u sily ti͡azhesti (Moskva, mart 1986 g.). Moskva: Akademii͡a nauk SSSR, Mezhduvedomstvennyĭ geofizicheskiĭ kom-t pri Prezidiume AN SSSR, 1988.

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7

D, Bulanzhe I͡U, Veselov K. E, Faĭtelʹson A. Sh, Kriger E. P, and Akademii͡a nauk SSSR. Mezhduvedomstvennyĭ geofizicheskiĭ komitet., eds. Povtornye gravimetricheskie nabli͡udenii͡a: Sbornik nauchnykh trudov. Moskva: Akademii͡a nauk SSSR, Mezhduvedomstvennyĭ geofizicheskiĭ kom-t pri Prezidiume AN SSSR, 1986.

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8

Vecchiato, Alberto. Variational Approach to Gravity Field Theories. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51211-2.

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9

Blaha, Stephen. The origin of the standard model: The genesis of four quark and lepton species, parity violation, the electro weak sector, color SU(3), three visible generations of fermions, and one generation of dark matter with dark energy ; Quantum theory of the third kind : a new type of divergence-free quantum field theory supporting a unified standard model of elementary particles and quantum gravity based on a new method in the calculus of variations. Auburn, NH: Pingree-Hill Publishing, 2006.

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10

Center, Lewis Research, ed. Convective instability of a gravity modulated fluid layer with surface tension variation. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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11

Wittman, David M. Newtonian Gravity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0016.

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Having developed a framework for subsuming gravity into relativity, we examine how gravity behaves as a function of the source mass (Earth, Sun, etc.) and distance from that sourcemass.We develop Newton’s inverse‐square law of gravity, and we examine the consequences in terms of acceleration fields, potentials, escape velocities, and surface gravity. Chapter 17 will build on these ideas to show how orbits are used to probe gravity throughout the universe.We also develop a tool for exposing variations in the acceleration field: the tidal acceleration field in any region is defined as the acceleration field in that region minus the average acceleration. This enables us to restate Newton’s lawof gravity as: the acceleration arrows surrounding any point show a net convergence that is proportional to the density of mass at that point. Chapter 18 will use this to develop a frame‐independent law of gravity.
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12

Cazenave, Anny A., R. S. Nerem, and Richard H. Rapp. Global Gravity Field and Its Temporal Variations: Symposium No. 116 Boulder, CO, USA, July 12 1995. Springer London, Limited, 2012.

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13

(Editor), Richard H. Rapp, Anny A. Cazenave (Editor), and R. S. Nerem (Editor), eds. Global Gravity Field and Its Temporal Variations: Symposium No. 116 Boulder, CO, USA, July 12, 1995 (International Association of Geodesy Symposia). Springer, 1996.

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14

A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity Based on New Quantum Dimensions & a New Paradigm in the Calculus of Variations. Janus Associates Inc., 2003.

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15

Blaha, Stephen. Quantum Theory of the Third Kind: A New Type of Divergence-free Quantum Field Theory Supporting a Unified Standard Model of Elementary Particles and Quantum Gravity based on a New Method in the Calculus of Variations. 2nd ed. Pingree-Hill Publishing, 2005.

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16

Wittman, David M. Potential. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0015.

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At any given event gravity accelerates all particles equally—yet gravity is very strong in some places and very weak in others. In this chapter, we learn a powerful thinking tool to help us deal with these variations: the gravitational potential. The potential takes the concept of “acceleration times height” that, we previously found, determines the march of time and generalizes it to cases where the gravitational acceleration varies with position. The potential encodes global relationships, such as the gravitational redshift of light emitted from one point and received by a distant observer, as well as the local acceleration at each point.We also showhow the spacetime metric is affected by the potential. Incorporating the potential into themetric neatly unites gravity with relativity and eliminates any need for a theory of gravity involving forces.
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17

Wittman, David M. General Relativity and the Schwarzschild Metric. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0018.

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Previously, we saw that variations in the time part of the spacetime metric cause free particles to accelerate, thus unifying gravity and relativity; and that orbits trace those accelerations, which follow the inverse‐square law around spherical source masses. But a metric that empirically models orbits is not enough; we want to understand how any arrangement of mass determines the metric in the surrounding spacetime. This chapter describes thinking tools, especially the frame‐independent idea of spacetime curvature, that helped Einstein develop general relativity. We describe the Einstein equation, which determines the metric given a source or set of sources. Solving that equation for the case of a static spherical mass (such as the Sun) yields the Schwarzschild metric. We compare Schwarzschild and Newtonian predictions for precession, the deflection of light, and time delay of light; and we contrast the effects of variations in the time and space parts of the metric.
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18

Dixon, P. Gravity: Shades of Mr. Darcy ~ a Pride and Prejudice Variation. Independently Published, 2019.

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19

Vecchiato, Alberto. Variational Approach to Gravity Field Theories: From Newton to Einstein and Beyond. Springer, 2017.

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20

An Investigation of the Cause of Variation in HMA Bulk Specific Gravity Test Results Using Non-Absorptive Aggregates. Washington, D.C.: Transportation Research Board, 2004. http://dx.doi.org/10.17226/22064.

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21

Zeitlin, Vladimir. Simplifying Primitive Equations: Rotating Shallow-Water Models and their Properties. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0003.

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In this chapter, one- and two-layer versions of the rotating shallow-water model on the tangent plane to the rotating, and on the whole rotating sphere, are derived from primitive equations by vertical averaging and columnar motion (mean-field) hypothesis. Main properties of the models including conservation laws and wave-vortex dichotomy are established. Potential vorticity conservation is derived, and the properties of inertia–gravity waves are exhibited. The model is then reformulated in Lagrangian coordinates, variational principles for its one- and two-layer version are established, and conservation laws are reinterpreted in these terms.
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