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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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(NASA) initiative to test <strong>and</strong> prove new technologies<br />

by flying them on missions similar to<br />

science missions of the future; thus, the missions<br />

are technologically driven. Included in<br />

them are Deep Space 1 (propelled by xenon<br />

ions), launched October 24, 1998; Deep Space<br />

2 (which was to probe beneath the surface of<br />

Mars), launched January 3, 1999 <strong>and</strong> lost on<br />

Mars on December 3, 1999; Deep Space 3 (with<br />

telescopes flying in formation), scheduled for<br />

launch in 2005; Deep Space 4 (a voyage to the<br />

heart of a comet); Earth Orbiter 1 (with an advanced<br />

l<strong>and</strong> imager); <strong>and</strong> Earth Orbiter 2 (with<br />

a laser wind instrument on the Space Shuttle).<br />

These missions will return results promptly to<br />

future users about whether or not the technologies<br />

work in space. The missions are high<br />

risk because they incorporate unproven technologies,<br />

probably without backup, that require<br />

flight validation.<br />

Newtonian A type of reflecting telescope invented<br />

by Isaac Newton, with a small flat secondary<br />

mirror mounted in front of the primary<br />

mirror, to deflect rays approaching a focus out<br />

one side of the support tube, where they are<br />

viewed using a magnifying lens (eyepiece).<br />

Newtonian cosmology A collection of models<br />

of the universe constructed by the rules of<br />

Newtonian mechanics <strong>and</strong> hydrodynamics. A<br />

Newtonian model describes the universes via the<br />

evolution of a portion of a fluid, assuming the<br />

fluid moves in 3-dimensional Euclidean space.<br />

The historically first such model (Milne <strong>and</strong> Mc-<br />

Crea, 1934) demonstrated that some basic predictions<br />

of the Friedmann–Lemaître cosmological<br />

models could have been deduced much earlier<br />

from Newtonian physics. However, Newtonian<br />

models are of limited value only. Descriptions<br />

constructed in general relativity theory<br />

automatically imply the laws of propagation<br />

of light in the universe, <strong>and</strong> the geometry<br />

of space. The Newtonian models say nothing<br />

about geometry <strong>and</strong> cannot describe the influence<br />

of the gravitational field on the light rays.<br />

Moreover, they are unable to describe gravitational<br />

waves (which simply do not exist in Newtonian<br />

physics).<br />

© 2001 by CRC Press LLC<br />

Newtonian gravity<br />

Newtonian fluid A viscous fluid in which<br />

shear stress depends linearly on the rate of shear<br />

strain. In tensor notation, the flow law is σ ′ ij =<br />

2µ˙εij , where σ ′ ij is deviatoric stress, ˙εij is the<br />

rate of strain, <strong>and</strong> constant µ is the viscosity. A<br />

solid such as a rock deforms like a Newtonian<br />

fluid as a result of diffusion creep at elevated<br />

temperatures.<br />

Newtonian gravitational constant The constant<br />

G = 6.673 × 10−11m3kg−1s−2 , which<br />

enters the Newtonian force law:<br />

F = Gm1m2 ˆrr −2<br />

where F is the attractive force, m1 <strong>and</strong> m2 are<br />

the masses, r is their separation, <strong>and</strong> ˆr is a unit<br />

vector between the masses.<br />

Newtonian gravitational fields The region<br />

in which one massive body exerts a force of attraction<br />

over another massive body according to<br />

Newton’s law of gravity.<br />

Newtonian gravity The description of gravity<br />

due to Newton: The attractive gravitational<br />

force of point mass m1 on point mass m2 separated<br />

by displacement r<br />

F =−ˆrGm1m2/r 2 ,<br />

where G is Newton’s gravitational constant<br />

G = 6.67 × 10 −11 m 3 <br />

/ kg sec 2<br />

= 6.67 × 10 −8 cm 3 <br />

/ g sec 2<br />

.<br />

In Newtonian gravity forces superpose linearly,<br />

so the force between two extended bodies<br />

is found by summing (integrating) the vector<br />

forces between infinitesimally small masses in<br />

the two bodies. Newton proved that the force on<br />

a point mass due to a spherical extended mass is<br />

as if all the extended mass were concentrated at<br />

its center.<br />

One can also show that the force on a point<br />

mass m1 due to a second mass is given by m1<br />

times the gradient of the potential, defined in<br />

general by integration over the extended mass:<br />

with<br />

F =−m1▽φ<br />

<br />

φ =<br />

GρdV ′ /r ′ ,<br />

333

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