SP-345 Evolution of the Solar System

 

[531] SYMBOLS

 

The symbol index is arranged alphabetically, giving English and then Greek symbols. Astrological symbols appear immediately following the English alphabet. The final portion of the index consists of the most commonly used subscripts. The section and equation numbers appearing in the central column refer to the first use of that symbol. Where one symbol has several distinct usages, each meaning is given with a section reference. For subscripted symbols that do not appear in the main body of the symbol index, the meaning may be determined by looking up the symbol and subscript in the separate portions of the index.

A

Sec. 8.3

Apocenter

A

Sec. 6.4 Eq. (6.4.13)

Variable of substitution

a

Sec. 2.1

Length of semimajor axis

Sec. 6.4

Point label

Sec. 7.2

Variable of substitution

B

Sec. 5.3

Magnetic field

BTp

Sec. 19.2

The transplanetary magnetic field (the magnetic field strength in the region of space outside Pluto)

B

Sec. 6.4 Eq. (6.4.14)

Variable of substitution

b

Sec. 4.3

Point label

Sec. 7.2

Variable of substitution

C

Sec. 2.1 Eqs. (2.1.1)-(2.1.3)

Orbital angular momentum per unit mass

CM

Sec. 2.1

Orbital angular momentum

Sec. 13.1, Eq. (13.1.1)

Spin angular momentum

c

Sec. 5.3

Velocity of light

Sec. 6.4

Point label

Sec. 7.2

Variable of substitution

D

Sec. 6.7, Eq. (6.7.4)

Net transport of guiding centers

d

Sec. 8.3

Point label

Sec. 21.8

Distance between electrodes

E

Sec. 4.3, Eqs. (4.3.4)-(4 3 5)

Proper eccentricity

Sec. 5.3

Electric field

Sec. 9.3

East

Eion

Sec. 21.4.3, Eq. (21.4.4)

The value of the electric field at which discharge and ionization of gas become possible

E||

Sec. 15.3

Electric field parallel to the magnetic field

e

Sec. 2.1

Eccentricity

Sec. 5.5

2.718 (the base of the natural logarithms)

Sec. 15.3

Charge on the electron

F

Sec. 17.2, Eq. (17.2.4)

Sum of the gravitational, centrifugal, and electromagnetic forces per unit mass

f

Sec. 3.2

Force per unit mass

fap

Sec. 6.4, Eq. (6.4.3)

Force per unit mass due to apparent attraction to the guiding center of motion

fB

Sec. 17.2

Electromagnetic force per unit mass

fc

Sec. 3.2, Eq. (3.2.2)

Centrifugal force per unit mass

fG

Sec. 3.2

Force per unit mass due to gravitation

fper

Sec. 6.4, Eq. (6.4.4)

Force per unit mass due to a gravitational perturbation

fq

Sec. 5.3

Electromagnetic force per unit mass

ft

Sec. 18.3, Eq. (18.3.2)

Tidal force per unit mass

f subscript capital psi

Sec. 5.5

Force per unit mass due to impinging energy flux; radiation pressure

G

Sec. 2.1

Universal gravitational constant

g

Sec. 4.3

Absolute visual magnitude

Sec. 8.2

Acceleration due to Earth's gravitationa field

h

Sec. 2.2

Height above a specified surface

Sec. 9.2

Height of tides on a celestial body

I

Sec. 4.3, Eqs. (4.3.6)-(4.3.7)

Proper inclination

Sec. 15.4

Electric current

i

Sec. 2.1

Orbital inclination to the ecliptic plane

ieq

Sec. 2.2

Inclination of equator to the orbital plan.

i subscript tau

Sec. 13.6

Inclination of spin axis to the orbital plane

K

Sec. 11.2, Eq. (11.2.3)

Constant, in cm/g

Sec. 23.2

Constant, in units of mass

Kr

Sec. 3.3, Eq. (3.3.9)

Constant, in radians

Kz

Sec. 3.3, Eq. (3.3.17)

Constant, in radians

k

Sec. 6.8

Boltzmann's constant

L

Sec. 1.4, Eq. (15.1.1)

Critical hydromagnetic parameter

Sec. 8.5

Lagrangian points one and two

Sec. 16.3

Electrostatic double layer

Fig. 16.3.1

Sec. 26.3 Eq. (26.3.2)

Latent heat of fusion

L4, L5

Sec. 20.5

Lagrangian points four and five

l

Sec. 8.2

Length of a simple pendulum or the radial distance of a secondary body describing circular motion about a primary body.

Sec. 15.1

Length (linear extent of medium)

M

Sec. 4.1

Mass of a macroscopic body

MB

Sec. 16.4

Total mass of plasma suspended by the magnetic field at any one given time

MH2O

Sec. 26.4, Eq. (26.4.2)

Mass of water released by impacting planetesimals

Mj

Sec. 12.5

Mass of a jet stream

m

Sec. 5.4

Mass of a small particle or grain

ma

Sec. 11.2

Mass of an atom

me

Sec. 21.9

Mass of the electron

mH

Sec. 11.2

Mass of the hydrogen atom

mper

Sec. 6.4, Eq. (6.4.4)

Small mass introducing a perturbative gravitational force

N

Sec. 4.3

Number function

Sec. 9.3

North

N

Sec. 6.7

Number density

n

Sec. 2.2

Index of numeration

Sec. 3.3 Eq. (3.3.15)

The integers

O

Sec. 4.3

The center or origin of motion

P

Sec. 8.3

Pericenter

PB

Sec. 15.1

Magnetic permeability

P0

Sec. 4.3, Eq. (4.3-6)

Forced oscillation

p

Sec. 4.3

Albedo

p0

Sec. 4.3, Eq. (4.3.4)

Forced oscillation

Q

Sec. 9.2

An inverse function of the angle which a tidal bulge makes with respect to the tide-producing body

Sec. 16.3

Charge passing through a circuit during a given interval of time

Q0

Sec. 4.3, Eq. (4.3.7)

Forced oscillation

q

Sec. 2.5

Ratio of the orbital distances of the innermost and outermost orbiting bodies in one group of secondary bodies

Sec. 5.3

Electric charge

qn

Sec. 2.2

Ratio of the orbital distances of adjacent secondary bodies

q0

Sec. 4.3, Eq. (4.3.5)

Forced oscillation

R

Sec. 2.2

Radius of a solid body

RG

Sec. 12.3, Eq. (12.3.4)

Radius of growing embryo at transition point between nongravitational accretion and gravitational accretion

R subscript capital xi

Sec. 2.2

Radius of gyration; inertial radius

r

Sec. 2.4

Orbital radius

Sec. 3.2

Radial direction

rB

Sec. 23.2, Eq. (23.2.2)

Distance from the central body to a point on a magnetic field line from the dipole magnetic field of that body

rion

Sec. 21.4, Eq. (21.4.1)

Ionization distance (radial distance at which infalling matter can become ionized)

rL

Sec. 11.2, Eq. (11.2.4)

Distance from a secondary body to its interior or exterior Lagrangian points one and two

rmin

Sec. 23.9, Eq. (23.9.6)

Minimum value of orbital radius of condensed matter which is in orbit around the primary body

rMR

Sec. 18.3

The Modified Roche Limit (the radial distance at which matter orbiting a primary body cammot accrete to form a secondary body due to the tidal force of the primary)

rorb

Sec. 2.1

Radial distance from primary body to orbiting secondary body

rper

Sec. 6.4, Eq. (6.4.4)

Radial distance of the perturbing mass mper from the guiding center of motion of another mass.

rR

Sec. 18.3

The Roche limit (the radial distance at which the tidal force of the primary exceeds the self-gravitational force of the secondary)

rrel

Sec. 21.13.3

Orbital distance at which ionization can take place for matter falling through a corotating plasma

rs

Sec. 17.2, Eq. (17.2.13)

Radius of the surface which is the demarcation for plasma falling in toward the central body or falling into the equatorial plane

rsyn

Sec. 23.9

Orbital radius of a synchronous satellite; i.e., a satellite revolving with orbital velocity equal to the rotational velocity of its primary

rTp

Sec. 19.2, Eq. (19.2.2)

The maximum radial distance at which angular momentum transfer from the Sun has ever occurred; furthest extension of the transplanetary magnetic field.

S

Sec. 6.4, Eq. (6.4.3)

Displacement from the guiding center of motion of the particle executing that motion

Sec. 9.3

South

s

Sec. 16.3

Arc length

T

Sec. 2.1

Sidereal period of revolution

Te

Sec. 5.5, Eq. (5.5.10)

e-folding time (the time in which the value of a given parameter changes by a factor of e (2.718))

Tgy

Sec. 5.4

Period of gyration

Tgz

Sec. 2.2

Sidereal period of revolution of a grazing satellite; i.e., a secondary body having an orbit of semimajor axis equal to the radius of the primary body

Tion

Sec. 23.1

Orbital period of a body orbiting at the ionization distance rion

T subscript phi

Sec. 4.3

Period of variation in the proper elements of asteroid orbital motion

T

Sec. 6.8

Temperature

Te

Sec. 17.3

Electron temperature

Ti

Sec. 17.3

Ion temperature

t

Sec. 3.3

Time

ta

Sec. 12.3

Time of accretion (time at which an accreting embryo would attain an infinite radius)

tc

Sec. 12.6, Eq. (12.6.6)

Time of catastrophic increase of an accreting embryo

tes

Sec. 2.2 Eq. (2.2.3)

"Time of escape" (the ratio of the radius of a body to its escape velocity)

tI

Sec. 16.3, Eq. (16.3.5)

Duration of a current flow

tinf

Sec. 12.4

Infall time (duration of infall of matter into the solar system)

tj

Sec. 12.5, Eq. (12.5.8)

Time at which the small radius of a contracting jet stream would reach zero

tres

Sec. 16.5

Residence time (the interval in which matter resides in the plasma state)

tv

Sec. 6.8

Time between occurrence of collisions; inverse of collision frequency

U

Sec. 12.2, Eq. (12.2.3)

Volume of a toroidal jet stream

u

Sec. 6.8

Relative velocity; "internal velocity" of a jet stream

V

Sec. 5.4

Electrostatic potential; voltage

vb

Sec. 21.8

Burning voltage

VIon

Sec. 15.3

Ionization voltage

v

Sec. 5.5

Velocity

vcrit

Sec. 15.3, Eq. (15.3.1)

Critical velocity at which an infalling atom can become ionized

Sec. 21.8

The experimental value of relative velocity of a plasma and a gas at which increased ionization occurs.

ves

Sec. 2.2, Eq. (2.2.2)

Escape velocity

vimp

Sec. 12.10, Eq. (12.10.1)

Impact velocity

vion

Sec. 21.4, Eq. (21.4.1)

The value of infall velocity at which ionization of infalling matter can take place

vm

Sec. 12.12, Eq. (12.12.1)

Velocity capable of imparting sufficient kinetic energy to melt a specified mass

vorb

Sec. 2.1

Orbital velocity of secondary body

vrel

Sec. 21.13, Eq. (21.13.3)

Relative velocity

W

Sec. 8.2

Energy (potential and/or kinetic)

Sec. 9.3

West

Wm

Sec. 12.12

Energy needed to melt a specified mass

WT

Sec. 17.3

Thermal energy

w

Sec. 9.2

Energy dissipation; power

wT

Sec. 12.10, Eq. (12.10.2)

Thermal power per unit surface area delivered by impacting mass

X

Sec. 13.4, Eq. (13.4.3)

Variable of substitution

x

Sec. 3.2

Rectilinear coordinate Iying in the horizontal plane

Sec. 12.2

Small radius of a toroidal jet stream

x0

Sec. 6.4

Magnitude of the x axis of the epicycle described about a guiding center

Y

Sec. 13.4, Eq. (13.4-4)

Variable of substitution

y

Sec. 3.2

Rectilinear coordinate Iying in the horizontal plane

Z

Sec. 13.3, Eq. (13.3-4)

Variable of substitution

z

Sec. 3.2

Rectilinear coordinate in the axial direction

symbol for sun

Sec. 2.3, Fig. 2.3.1

Sun

symbol for mercury

Sec. 2.1, Table 2.1.1

Mercury

symbol for Venus

Sec. 2.1, Table 2.1.1

Venus

symbol for Earth

Sec. 2.1, Table 2.1.1

Earth

symbol for Moon

Sec. 2.1, Table 2.1.1

Moon

symbol for Mars

Sec. 2.1, Table 2.1.1

Mars

symbol for Jupiter

Sec. 2.1, Table 2.1.1

Jupiter

symbol for Saturn

Sec. 2.1, Table 2.1.1

Saturn

symbol for Uranus

Sec. 2.1, Table 2.1.1

Uranus

symbol for Neptune

Sec. 2.1, Table 2.1.1

Neptune

symbol for Pluto

Sec. 2.1, Table 2.1.1

Pluto

symbol for 
                           Ascending node

Sec. 17.5

Ascending node

symbol for 
                           Descending node

Sec. 17.5

Descending node

[Greek letter] alpha

Sec. 6.8

Dimensionless proportionality factor

Sec. 7.2, Eq. (7.2.4)

Dimensionless constant

[Greek letter] alpha subscript capital xi

Sec. 2.2

Ratio of radius of gyraffon to equatorial radius of body

[Greek letter] alpha subscript capital xi
                           squared

Sec. 2.2

Normalized moment of inertia (moment of inerffa per unit mass and unit radius squared)

[Greek letter] beta

Sec. 7.2, Eq. (7.2.5)

Dimensionless constant

[Greek letter] capital gamma

Sec. 11.2

Dimensionless proportionality factor

[Greek letter] capital gamma subscript ion

Sec. 21.2, Eq. (21.2.1)

Specific gravitational potential of secondary body with respect to the primary body

[Greek letter] gamma

Sec. 21.4, Eq. (21.4.2)

Value of gravitational potential at which infalling matter can become ionized

[Greek letter] gamma subscript B

Sec. 5.5, Eq. (5.5.4)

Dimensionless proportionality factor

[Greek letter] capital delta

Sec. 7.2, Eq. (7.2.6)

Dimensionless constant

[Greek letter] delta

Sec. 16.5, Eq. (16.5.1)

Dimensionless proportionality factor

Sec. 3.3

Indicating incremental change

Sec. 6.7, Eq. (6.7.1)

Geometrical factor

Sec. 12.10, Eq. (12.10.6)

Dimensionless proportionality factor indicating maximum in temperature profile of an accreting embryo

Sec. 17.3

Degree of ionization

Sec. 23.5

Dimensionless proportionality factor; the normalized distance (the ratio of the orbital radius of a body to the ionization distance for its primary body)

[Greek letter] epsilon

Sec. 9.2

An angle

[Greek letter] zeta

Sec. 23.1, Eqs. (23.1.4)-(23.1.5)

Dimensionless proportionality factor indicating degree of ionization of infalling matter

[Greek letter] eta

Sec. 9.3

Viscosity

[Greek letter] capital theta

Sec. 2.2

Mean density of a body

[Greek letter] theta

Sec. 8.3

An angle

k

Sec. 8.2, Eq. (8.2.3)

Constant of integration

[Greek letter] capital lambda

Sec. 3.6, Eq. (3.6.1)

Dimensionless constant

[Greek letter] lambda

Sec. 3.2

Meridional angle or latitude

µ

Sec. 16.3

Magnetic dipole moment

µlm

Sec. 16.4

Lower limit of the magnetic dipole moment such that the tangential component of the magnetic field is equal to the magnitude of the total magnetic field strength

v

Sec. 6.8

Collision frequency; number of collisions per unit time

[Greek letter] capital xi

Sec. 13.1

Moment of inertia

[Greek letter] xi

Sec. 8.4, Eq. (8.4.1)

Libration angle

[Greek letter] pi

Sec. 2.1

3.1415 (ratio of the circumference to the diameter of a circle)

[Greek letter] rho

Sec. 6.8

Density of dispersed matter

[Greek letter] rho subscript dst

Sec. 2.4, Eqs. (2.4.1)-(2.4.2)

Distributed density (density of a secondary body's mass when distributed along the orbit of that secondary)

[Greek letter] capital sigma

Sec. 2.1

Indicating summation

[Greek letter] sigma

Sec. 5.5

Cross section

Sec. 6.8

Collision cross section

Sec. 12.3, Eq. (12.3.1)

Capture cross section

[Greek letter] sigma subscript E

Sec. 15.1

Electrical conductivity

[Greek letter] sigma subscript j

Sec. 12.7

Cross section of a jet stream

[Greek letter] tau

Sec. 2.2

Spin period of a body

Sec. 9.2, Eq. (9.2.1)

Oblateness or ellipticity of a body

[Greek letter] phi

Sec. 15.3

Poloidal magnetic flux

[Greek letter] phi subscript P

Sec. 4.3, Eqs. (4.3.4)-(4.3 5)

Longitude of proper perihelion

[Greek letter] phi subscript Ascending node

Sec. 4.3, Eqs. (4.6)-(4.7)

Longitude of proper node

[Greek letter] phi

Sec. 3.2

Azimuthal angle or longitude

[Greek letter] chi

Sec. 6.7, Eq. (6.7.5)

Constant, in number/cm3

Sec. 11.2, Eq. (11.2.2)

Constant, in cm K/g

[Greek letter] chi subscript m

Sec. 7.2, Eq. (7.2.6)

Constant, in units of number times a variable power of mass

[Greek letter] chi subscript R

Sec. 7.2, Eq. (7.2.4)

Constant, im units of number times a variable power of radius

[Greek letter] chi subscript sigma

Sec. 7.2, Eq. (7.2.5)

Constant, in units of number times a variable power of cross section

[Greek letter] capital psi

Sec. 5.5

Energy flux

[Greek letter] psi

Sec. 8.2

An angle

[Greek letter] capital omega

Sec. 9.3

Rotational angular velocity

[Greek letter] capital omega subscript es

Sec. 13.3, Eq. (13.3.3)

Rotational escape velocity

[Greek letter] omega

Sec. 6.4

Orbital angular velocity

Subscripts

.

c

Central or primary body

sc

Secondary body

em

Embryo

gn

Grain

Lm

Limiting value

0

Initial value or parameter values for the guiding center or circular motion

K

Denoting orbital parameters for a body describing Kepler (circular) motion

A

Apocenter, aphelion, apogee, etc.

P

Pericenter, perihelion, perigee, etc.

symbol for 
                           Ascending (and descending) node

Ascending (and descending) node

x,y,z

Components in the x, y, and z directions

r, phi, lambda

Components in the r, phi, andlambda directions

symbols for Sun, Mercury, Venus, Earth, Moon, Mars, Jupiter, Saturn, Uraus, Neptune, Pluto

Sun, Mercury, Venus, Earth, Moon, Mars, Jupiter, Saturn, Uraus, Neptune, Pluto


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