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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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When calculations are displayed, there can<br />

be points for stars of particular masses, compositions,<br />

<strong>and</strong> evolutionary phases, or, more often,<br />

continuous trajectories representing the temporal<br />

evolution of a particular model (evolutionary<br />

track) or the loci of a number of different<br />

star masses at the same time (isochrones).<br />

Comparisons between theory <strong>and</strong> observation<br />

are made by plotting both real stars <strong>and</strong> tracks<br />

or isochrones. The problem of converting calibration<br />

from observers’ quantities (like spectral<br />

type <strong>and</strong> absolute visual magnitude) to theorists’<br />

quantities (bolometric luminosity <strong>and</strong> effective<br />

temperature) remains a serious one.<br />

Major phases of stellar evolution are frequently<br />

named for the loci of the stars in an<br />

HR diagram, including the main sequence, subgiant<br />

branch, Hertzsprung gap, red giant branch,<br />

horizontal branch, <strong>and</strong> asymptotic giant branch.<br />

Each of these corresponds to a fairly welldefined<br />

nuclear source of stellar energy <strong>and</strong> to a<br />

fairly definite interior structure in temperature,<br />

density, <strong>and</strong> chemical composition vs. radius.<br />

Both observations <strong>and</strong> models show that the primary<br />

determinant of what a star will do throughout<br />

its life is its initial mass. See absolute magnitude,<br />

apparent magnitude, asymptotic giant<br />

branch star, bolometric magnitude luminosity,<br />

color index, effective temperature, Hertzsprung<br />

Gap, horizontal branch star, main sequence star,<br />

metallicity, red giant.<br />

Hubble deep field A high galactic latitude<br />

sky field (of width ≈ 2 arcmin), intensively observed<br />

in four colors with the Wide Field Planetary<br />

Camera mounted on board the Hubble<br />

Space Telescope in December 1995. Three sets<br />

of observations for a total of 35-h exposure time<br />

were obtained with broad b<strong>and</strong> filter centered at<br />

450, 606, <strong>and</strong> 814 nm, <strong>and</strong> a set of 50 h exposure<br />

time with a near UV filter centered at 300 nm.<br />

The Hubble deep field was chosen in an area of<br />

low Hi column density, small far-IR flux, with<br />

no radio source brighter than 1 mJy, no bright<br />

stars, <strong>and</strong> no nearby galaxy clusters. These selection<br />

criteria were aimed at making possible<br />

the identification <strong>and</strong> morphological study of a<br />

large number of faint, field galaxies. The observations<br />

allowed counting the number of galaxies<br />

in the field down to a magnitude < ∼ 29, an unprecedented<br />

achievement. See Jansky(Jy).<br />

© 2001 by CRC Press LLC<br />

Hubble parameter (Hubble constant)<br />

Hubble diagram A diagram plotting observed<br />

redshift of a galaxy on one axis vs. some<br />

measure of the distance of the galaxy on the<br />

other. Used to verify or to detect deviations<br />

from Hubble’s law: v = H0d, where d is the<br />

distance to the galaxy.<br />

Hubble parameter (Hubble constant) The<br />

proportionality factor H0 in the Hubble law<br />

v = H0l, where v is the velocity with which<br />

a given galaxy G recedes from our galaxy, a<br />

measure of the present expansion rate of the universe,<br />

<strong>and</strong> l is the distance between G <strong>and</strong> the<br />

observer in our galaxy. H0 is traditionally measured<br />

in km/(sec · Mpc), so that v comes out<br />

in kilometers per second when l is measured in<br />

megaparsecs (Mpc). The actual numerical value<br />

of H is subject to many r<strong>and</strong>om <strong>and</strong> systematic<br />

errors. In the 1930s H0 was believed to be of the<br />

order of 500 km/(sec · Mpc). Currently it is believed<br />

to be between 50 <strong>and</strong> 100 km/(sec · Mpc).<br />

In determining the Hubble constant, H0, itis<br />

the distance determination that introduces uncertainty<br />

since the recession is directly measured<br />

by the redshift. This uncertainty in the measured<br />

value of H is usually taken into account by incorporating<br />

the parameter h (called the dimensionless<br />

Hubble parameter) into all formulae that<br />

depend on H ; by definition h = H/(100 km/s<br />

· Mpc) so that h = 1 when H = 100 km/s ·<br />

Mpc. The value of H determines the age of the<br />

universe (i.e., the time since the Big Bang up<br />

to now) <strong>and</strong> the distances between galaxy clusters,<br />

so knowing it is of fundamental importance<br />

for cosmology. The Hubble parameter is colloquially<br />

called “Hubble constant”, but in the<br />

currently accepted cosmological models it is a<br />

decreasing function of time <strong>and</strong> “the value of<br />

H ” actually means the current value H0. In inhomogeneous<br />

models the Hubble law does not<br />

apply globally; in them, v is a nonlinear function<br />

of l, a different one for every observer. If<br />

our universe is inhomogeneous, then the Hubble<br />

law applies only as a first approximation to the<br />

actual function v(l) in a sufficiently small neighborhood<br />

of every observer, <strong>and</strong> the local value<br />

of the Hubble parameter depends on the position<br />

of the observer <strong>and</strong> on the direction of observation.<br />

Reference: E.P. Hubble, The Realm of<br />

the Nebulae, [republication by] Yale University<br />

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