Goldreich, Peter 1939Overview
Publication Timeline
Most widely held works by
Peter Goldreich
Interactions among convection, magnetic fields and Pmode oscillations in the sun
by Peter Goldreich
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1 edition published in 1993 in English and held by 76 WorldCat member libraries worldwide
Topics in high energy astrophysics : based on lectures by Peter Goldreich at the Rand Corporation during JuneJuly 1969
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1 edition published in 1970 in English and held by 34 WorldCat member libraries worldwide
Secular changes in the solar system
by Peter Goldreich
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3 editions published between 1963 and 1982 in English and held by 4 WorldCat member libraries worldwide
Magnetohydrodynamic turbulence
by Jason Maron
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2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide We simulate incompressible, MHD turbulence using a pseudospectral code
Near field acceleration in pulsars
by Peter Goldreich
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Book
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1 edition published in 1972 in English and held by 2 WorldCat member libraries worldwide
[Articles on astronomy by P. Goldreich, either alone or in collaboration with others, reprinted from various periodicals.]
by Peter Goldreich
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Book
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1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
Gauge Freedom in the Nbody Problem of Celestial Mechanics
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1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide Whenever a standard system of six planetary equations(in the Lagrange, Delaunay, or other form) is employed, the trajectory resides on a 9(N1)dimensional submanifold of the 12(N1)dimensional space spanned by the orbital elements and their time derivatives. The freedom in choosing this submanifold reveals an internal symmetry inherent in the description of the trajectory by orbital elements. This freedom is analogous to the gauge invariance of electrodynamics. In traditional derivations of the planetary equations this freedom is removed by hand through the introduction of the Lagrange constraint, either explicitly (in the variationofparameters method) or implicitly (in the HamiltonJacobi approach). This constraint imposes the condition that the orbital elements osculate the trajectory, i.e., that both the instantaneous position and velocity be fit by a Keplerian ellipse (or hyperbola). Imposition of an supplementary constraint different from that of Lagrange (but compatible with the equations of motion) would alter the mathematical form of the planetary equations without affecting the physical trajectory
Gauge Symmetry of the Nbody Problem in the HamiltonJacobi Approach
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1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide In most books the Delannay and Lagrange equations for the orbital elements are derived by the HamiltonJacobi method: one begins with the twobody Hamilton equations in spherical coordinates, performs a canonical transformation to the orbital elements, and obtains the Delannay system. A standard trick is then used to generalise the approach to the Nbody case. We reexamine this step and demonstrate that it contains an implicit condition which restricts the dynamics to a 9(N1)dimensional submanifold of the 12(N1)dimensional space spanned by the elements and their time derivatives. The tacit condition is equivalent to the constraint that Lagrange imposed by "hand" to remove the excessive freedom, when he was deriving his system of equations by variation of parameters. It is the condition of the orbital elements being osculating, i.e., of the instantaneous ellipse (or hyperbola) being always tangential to the physical velocity. Imposure of any supplementary condition different from the Lagrange constraint (but compatible with the equations of motion) is legitimate and will not alter the physical trajectory or velocity (though will alter the mathematical form of the planetary equations)
[The Shaw Prize 2007
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1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide A twopart special profiling the four laureates of this year's Shaw Prize. Professor Peter Goldreich has won the Astronomy Prize for his achievements in theoretical astrophysics and planetary sciences. Dr. Robert Lefkowitz has won the Life Science and Medicine Prize for his persistent breakthrough in the major receptor system that mediates the response of cells and organs to hormones and drugs
A Model for the 1612 MHz Masers in OHIR Stars (13)
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1 edition published in 1974 in English and held by 1 WorldCat member library worldwide Shklovsky (1966) first suggested that OH masers might be pumped by the absorption of infrared radiation. Subsequently, the physics of the pump process was investigated by Litvak (1969) and by Litvak and Dickenson (1972). The present paper attempts to bring into sharper focus the essential features responsible for the inversion of the 1612 MHz transition in OHIR stars
Origin of chaos in the Prometheus–Pandora system
by Peter Goldreich
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1 edition published in 2003 in Undetermined and held by 1 WorldCat member library worldwide We demonstrate that the chaotic orbits of Prometheus and Pandora are due to interactions associated with the 121:118 mean motion resonance. Differential precession splits this resonance into a quartet of components equally spaced in frequency. Libration widths of the individual components exceed the splitting resulting in resonance overlap which causes the chaos. A single degree of freedom model captures the essential features of the chaotic dynamics. Mean motions of Prometheus and Pandora wander chaotically in zones of width 1.8 deg yr^−1 and 3.1 deg yr^−1, respectively
Theoretical studies of solar oscillations
by Peter Goldreich
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Book
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1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
History of the lunar orbit
by Peter Goldreich
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Book
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1 edition published in 1966 in English and held by 1 WorldCat member library worldwide "Dynamic equations governing the evolution of the earthmoon system are derived and integrated back in time to determine its state at past epochs. The method is based on three time scales: short, determined by the revolution periods of the earth and moon around the sun and earth, respectively; intermediate, set by precessional motions of the moon's orbit plane and the earth's equator plane; and long, defined by the rate at which the frictional tides alter the state of the earthmoon system. The principle dynamic features of the sunearthmoon system in the absence of tidal forces are described by precessional equations. It is shown that for each planet there is a critical distance such that a satellite orbit lying well within the distance will maintain a nearly constant inclination to the planet's equator plane; the present earthmoon distance is far greater than the critical distance. Equations of motion are presented for the slow changes in conserved quantities produced by frictionally retarded tides, the principal changes being produced by the tides raised on the earth by the moon, and smaller changes by the tides raised on the earth by the sun. Fission and capture theories of lunar origin and formation in earth orbit are mentioned."
Protostellar disks
by Peter Goldreich
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1 edition published in 1998 in English and held by 1 WorldCat member library worldwide Lecturer describes hydrostatic, radiative equilibrium models for disks surrounding Tauri stars, presents calculations of both broad band and line radiation emitted by such disks, and discusses the stability of these disks
The life, death and rebirth of stars
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1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Gauge symmetry of the Nbody problem in the HamiltonJacobi approach
by Michael Efroimsky
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Book
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1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Tidal Evolution of Rubble Piles
by Peter Goldreich
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1 edition published in 2009 in Undetermined and held by 1 WorldCat member library worldwide Many small bodies in the solar system are believed to be rubble piles, a collection of smaller elements separated by voids.We propose a model for the structure of a selfgravitating rubble pile. Static friction prevents its elements from sliding relative to each other. Stresses are concentrated around points of contact between individual elements. The effective dimensionless rigidity, μ˜ rubble, is related to that of a monolithic body of similar composition and size, μ˜ by μ˜ rubble ∼ μ˜^1/2 εY^−1/2, where εY ∼ 10^−2 is the yield strain. This represents a reduction in effective rigidity below the maximum radius, Rmax ∼ [μεY /(Gρ^2)]^1/2 ∼ 10^3 km, at which a rubble pile can exist. Our model for the rigidity of rubble piles is compatible with laboratory experiments on the speed of shear waves in sand. Densities derived for binary asteroids imply that they are rubble piles. Thus their tidal evolution proceeds faster than it would if they were monoliths. Binary orbit evolution is also driven by torques resulting from the asymmetrical scattering and reradiation of sunlight (YORP and BYORP effects). The tidal torque probably overcomes the radiative (YORP) torque and synchronizes the spins of secondaries in nearEarth binary asteroids and it definitely does so for secondaries of mainbelt binary asteroids. Synchronization is a requirement for the radiative (BYORP) torque to act on the binary orbit. This torque clearly dominates the tidal torque for all nearEarth binary asteroids and for some binaries in the main belt. For other mainbelt binaries, the tidal torque appears to be at least comparable in strength to the BYORP torque. An exciting possibility is that in these systems the angular momentum added to the orbit by the tidal torque might be removed by the radiative torque
Final stages of planet formation
by Peter Goldreich
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1 edition published in 2004 in English and held by 1 WorldCat member library worldwide The speaker discusses three major questions regarding solar system planets: what determined their number, why are their orbits nearly circular and coplanar and how long did they take to form?
Planet formation by coagulation: A focus on Uranus and Neptune
by Peter Goldreich
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1 edition published in 2004 in Undetermined and held by 1 WorldCat member library worldwide Planets form in the circumstellar disks of young stars. We review the basic physical processes by which solid bodies accrete each other and alter each others' random velocities, and we provide orderofmagnitude derivations for the rates of these processes. We discuss and exercise the twogroups approximation, a simple yet powerful technique for solving the evolution equations for protoplanet growth. We describe orderly, runaway, neutral, and oligarchic growth. We also delineate die conditions under which each occurs. We refute a popular misconception by showing that the outer planets formed quickly by accreting small bodies. Then we address the final stages of planet formation. Oligarchy ends when the surface density of the oligarchs becomes comparable to that of the small bodies. Dynamical friction is no longer able to balance viscous stirring and the oligarchs' random velocities increase. In the innerplanet system, oligarchs collide and coalesce. In the outerplanet system, some of the oligarchs are ejected. In both the inner and outerplanet systems, this stage ends once the number of big bodies has been reduced to the point that their mutual interactions no longer produce largescale chaos. Subsequently, dynamical friction by the residual small bodies circularizes and flattens their orbits. The final stage of planet formation involves the clean up of the residual small bodies. Clean up has been poorly explored
Chaos in our solar system
by Peter Goldreich
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1 edition published in 2009 in English and held by 1 WorldCat member library worldwide "Chaos frustrates our ability to predict the future from present conditions in dynamic systems such as the weather and human behavior. With movies, demonstrations, and meteorites, Dr. Goldreich will reveal the frontiers of knowledge about the physics behind the origin of chaos in the climate variations on Mars, the unpredictable orbits of objects in space, and the path of meteorites from the asteroid belt to Earth."From website more
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Associated Subjects
AstronomyAwards Astrophysics Celestial mechanics Chaotic behavior in systems Convection (Astrophysics) Disks (Astrophysics) Gauge fields (Physics) Geophysics HamiltonJacobi equations Magnetic fields Magnetohydrodynamic waves Manybody problem Moon Particles (Nuclear physics) Planets PlanetsOrbits Pulsars Radio sources (Astronomy) Solar system StarsEvolution StarsFormation T Tauri stars Turbulence

Alternative Names
Goldreich, P.M. (Peter Martin), 1939
Goldreich, Peter M. (Peter Martin), 1939
Goldreich, Peter Martin, 1939
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