Goldreich, Peter 1939
Overview
Works:  54 works in 63 publications in 1 language and 187 library holdings 

Genres:  Academic theses 
Roles:  Author, Thesis advisor 
Classifications:  AS36, 523.0192 
Publication Timeline
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Most widely held works about
Peter Goldreich
 Interview with Peter Goldreich by Peter Goldreich( Book )
Most widely held works by
Peter Goldreich
Interactions among convection, magnetic fields and Pmode oscillations in the sun by
Peter Goldreich(
Book
)
2 editions published in 1993 in English and held by 83 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 83 WorldCat member libraries worldwide
Topics in high energy astrophysics : based on lectures by Peter Goldreich at the Rand Corporation during JuneJuly 1969 by
Rand Corporation(
Book
)
1 edition published in 1970 in English and held by 34 WorldCat member libraries worldwide
The document contains reports on the Propagation of electromagnetic radiation in the galaxy; Scintillations of radio sources; Quasistellar sources; Synchrotron radiation and inverse compton scattering; Cosmology: introduction, newtonian theory and relativistic theory; Tests of cosmological models with Lambda = 0; Existence of horizons in cosmology; Universal blackbody radiation; Nucleosynthesis in the first 1001 seconds; Galaxy formation and Pulsar electrodynamics: The GoldreichJulian model. (Author)
1 edition published in 1970 in English and held by 34 WorldCat member libraries worldwide
The document contains reports on the Propagation of electromagnetic radiation in the galaxy; Scintillations of radio sources; Quasistellar sources; Synchrotron radiation and inverse compton scattering; Cosmology: introduction, newtonian theory and relativistic theory; Tests of cosmological models with Lambda = 0; Existence of horizons in cosmology; Universal blackbody radiation; Nucleosynthesis in the first 1001 seconds; Galaxy formation and Pulsar electrodynamics: The GoldreichJulian model. (Author)
Secular changes in the solar system by
Peter Goldreich(
)
4 editions published between 1963 and 1982 in English and held by 4 WorldCat member libraries worldwide
Contents: On the Inclination of Satellite Orbits About an Oblate Precessing Planet; On the Eccentricity of Satellite Orbits in the Solar System; An Explanation of the Frequent Occurrence of NearCommensurate Mean Motions in the Solar System; and Literature Cited
4 editions published between 1963 and 1982 in English and held by 4 WorldCat member libraries worldwide
Contents: On the Inclination of Satellite Orbits About an Oblate Precessing Planet; On the Eccentricity of Satellite Orbits in the Solar System; An Explanation of the Frequent Occurrence of NearCommensurate Mean Motions in the Solar System; and Literature Cited
Near field acceleration in pulsars by
Peter Goldreich(
Book
)
2 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
Magnetohydrodynamic turbulence by Jason Maron(
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
We simulate incompressible, MHD turbulence using a pseudospectral code
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
We simulate incompressible, MHD turbulence using a pseudospectral code
I. Observations and photochemical modeling of the Venus middle atmosphere. : II. Thermal infrared spectroscopy of Europa and
Callisto by Franklin Perry Mills(
Book
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Voyager observations of Saturn's rings : 1. The eccentric rings at at 1.29, 1.45, 1.95, and 2.27 Rs. 2. The periodic variation
of spokes by
Carolyn C Porco(
)
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
[The Shaw Prize 2007(
Visual
)
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
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
History of the lunar orbit by
Peter Goldreich(
Book
)
2 editions published in 1966 in English and held by 2 WorldCat member libraries 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."
2 editions published in 1966 in English and held by 2 WorldCat member libraries 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."
Circumstellar and circumplanetary disks by Eugene Chiang(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 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(
Book
)
1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
Hydromagnetic astrophysical outflows by Ruben Krasnopolsky(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
Adventures in theoretical astrophysics by Alison Jane Farmer(
Book
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
A Model for the 1612 MHz Masers in OHIR Stars (13)(
Book
)
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
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
Tidal Evolution of Rubble Piles by
Peter Goldreich(
)
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
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
Elastic ice shells of synchronous moons: Implications for cracks on Europa and nonsynchronous rotation of Titan by
Peter Goldreich(
)
1 edition published in 2010 in Undetermined and held by 1 WorldCat member library worldwide
A number of synchronous moons are thought to harbor water oceans beneath their outer ice shells. A subsurface ocean frictionally decouples the shell from the interior. This has led to proposals that a weak tidal or atmospheric torque might cause the shell to rotate differentially with respect to the synchronously rotating interior. Applications along these lines have been made to Europa and Titan. However, the shell is coupled to the ocean by an elastic torque. As a result of centrifugal and tidal forces, the ocean would assume an ellipsoidal shape with its long axis aligned toward the parent planet. Any displacement of the shell away from its equilibrium position would induce strains thereby increasing its elastic energy and giving rise to an elastic restoring torque. In the investigation reported on here, the elastic torque is compared with the tidal torque acting on Europa and the atmospheric torque acting on Titan. Regarding Europa, it is shown that the tidal torque is far too weak to produce stresses that could fracture the ice shell, thus refuting an idea that has been widely advocated. Instead, it is suggested that the cracks arise from timedependent stresses due to nonhydrostatic gravity anomalies from tidally driven, episodic convection in the satellite’s interior. Two years of Cassini RADAR observations of Titan’s surface have been interpreted as implying an angular displacement of ~0.24° relative to synchronous rotation. Compatibility of the amplitude and phase of the observed nonsynchronous rotation with estimates of the atmospheric torque requires that Titan’s shell be decoupled from its interior. We find that the elastic torque balances the seasonal atmospheric torque at an angular displacement ≾0.05°, effectively coupling the shell to the interior. Moreover, if Titan’s surface were spinning faster than synchronous, the tidal torque tending to restore synchronous rotation would almost certainly be larger than the atmospheric torque. There must eithe
1 edition published in 2010 in Undetermined and held by 1 WorldCat member library worldwide
A number of synchronous moons are thought to harbor water oceans beneath their outer ice shells. A subsurface ocean frictionally decouples the shell from the interior. This has led to proposals that a weak tidal or atmospheric torque might cause the shell to rotate differentially with respect to the synchronously rotating interior. Applications along these lines have been made to Europa and Titan. However, the shell is coupled to the ocean by an elastic torque. As a result of centrifugal and tidal forces, the ocean would assume an ellipsoidal shape with its long axis aligned toward the parent planet. Any displacement of the shell away from its equilibrium position would induce strains thereby increasing its elastic energy and giving rise to an elastic restoring torque. In the investigation reported on here, the elastic torque is compared with the tidal torque acting on Europa and the atmospheric torque acting on Titan. Regarding Europa, it is shown that the tidal torque is far too weak to produce stresses that could fracture the ice shell, thus refuting an idea that has been widely advocated. Instead, it is suggested that the cracks arise from timedependent stresses due to nonhydrostatic gravity anomalies from tidally driven, episodic convection in the satellite’s interior. Two years of Cassini RADAR observations of Titan’s surface have been interpreted as implying an angular displacement of ~0.24° relative to synchronous rotation. Compatibility of the amplitude and phase of the observed nonsynchronous rotation with estimates of the atmospheric torque requires that Titan’s shell be decoupled from its interior. We find that the elastic torque balances the seasonal atmospheric torque at an angular displacement ≾0.05°, effectively coupling the shell to the interior. Moreover, if Titan’s surface were spinning faster than synchronous, the tidal torque tending to restore synchronous rotation would almost certainly be larger than the atmospheric torque. There must eithe
Origin of chaos in the Prometheus–Pandora system by
Peter Goldreich(
)
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
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
Gauge Freedom in the Nbody Problem of Celestial Mechanics(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
The goal of this paper is to demonstrate how the internal symmetry of the Nbody celestialmechanics problem can be exploited in orbit calculation. We start with summarizing research reported in (Efroimsky 2002, 2003; Newman & Efroimsky 2003; Efroimsky & Goldreich 2003) and develop its application to planetary equations in noninertial frames. This class of problems is treated by the variations ofconstraints method. As explained in the previous publications, Whenever a standard system of six planetary equations (in the Lagrange Delaunay, or other form) is employed for N objects, the trajectory resides on a 9(N1)1 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 variationofconstraints methods or implicitly (in the HamiltonJacobi approach). This constraint imposes the condition (called osculation condition") that both the instantaneous position and velocity be fit by a Keplerlan ellipse (or hyperbola), i.e. that the instantaneous Keplerian ellipse (or hyperbola) be tangential to the trajectory. Imposition of any 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. However, for coordinatedependent perturbations, any gauge different from that of Lagrange makes the Delaunay system noncanonical
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
The goal of this paper is to demonstrate how the internal symmetry of the Nbody celestialmechanics problem can be exploited in orbit calculation. We start with summarizing research reported in (Efroimsky 2002, 2003; Newman & Efroimsky 2003; Efroimsky & Goldreich 2003) and develop its application to planetary equations in noninertial frames. This class of problems is treated by the variations ofconstraints method. As explained in the previous publications, Whenever a standard system of six planetary equations (in the Lagrange Delaunay, or other form) is employed for N objects, the trajectory resides on a 9(N1)1 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 variationofconstraints methods or implicitly (in the HamiltonJacobi approach). This constraint imposes the condition (called osculation condition") that both the instantaneous position and velocity be fit by a Keplerlan ellipse (or hyperbola), i.e. that the instantaneous Keplerian ellipse (or hyperbola) be tangential to the trajectory. Imposition of any 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. However, for coordinatedependent perturbations, any gauge different from that of Lagrange makes the Delaunay system noncanonical
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Related Identities
 United States National Aeronautics and Space Administration
 Gilinsky, Victor
 Rand Corporation
 California Institute of Technology Division of Physics, Mathematics and Astronomy
 California Institute of Technology Division of Geological and Planetary Sciences
 Keeley, Douglas A.
 Efroimsky, Michael Author
 NAVAL OBSERVATORY WASHINGTON DC ASTRONOMICAL APPLICATIONS Dept
 Maron, Jason Author
 Blandford, Roger D. Thesis advisor
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Associated Subjects
AstronomyAwards Astrophysicists Astrophysics California California Institute of Technology Celestial mechanics Convection (Astrophysics) Geophysics Magnetic fields Magnetohydrodynamic waves Moon Particles (Nuclear physics) PlanetsOrbits Pulsars Radio sources (Astronomy) Saturn (Planet) Solar system Turbulence
Alternative Names
Goldreich, P.M. 1939
Goldreich, P.M. (Peter Martin), 1939
Goldreich, Peter M. 1939
Goldreich, Peter M. (Peter Martin), 1939
Goldreich, Peter Martin 1939
Peter Goldreich Amerikaans natuurkundige
Peter Goldreich amerikansk astronom och fysiker
Peter Goldreich amerikansk astronom og fysikar
Peter Goldreich amerikansk astronom og fysiker
Peter Goldreich USamerikanischer Astrophysiker
Голдрайх, Петер
Пітер Голдрайх
بيتر غلدريج
پیتر گلدریچ فیزیکدان و ستارهشناس آمریکایی
ピーター・ゴールドレイク
皮特·戈德賴希
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