< Radiation astronomy < Mathematics
Observation of positrons from a terrestrial gamma ray flash is performed by the Fermi gamma ray telescope. Credit: NASA Goddard Space Flight Center.

Radiation mathematics is a lecture and an article about the mathematics of original research/radiation, including radiation as part of original research/radiation astronomy. It is part of the department of radiation astronomy course on the principles of radiation astronomy.

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Quiz

  

1 True or False, ε0 is the electric constant.

TRUE
FALSE

2 The equation for the ion current is likely to include which of the following?

the mass of the electron
the number of electrons
e to the grain capacitance factor
the dust grain radius
a 4πr factor

3 True or False, In the equation for the Larmor radius the charge of the particle is directly proportional to the magnetic field.

TRUE
FALSE

4 Over the last few years, the cold dark

cosmogony has become a

model for the formation of structure.

5 Mathematics phenomena associated with radiation astronomy are

orbital theory
flux of annihilation gamma rays
the Rydberg formula
pressure
the local Jeans length
Planck's equation

6 True or False, When solving an equation for a numerical value arrange the coefficients together, the exponentials together, and the dimensions together, to reduce each as needed.

TRUE
FALSE

7 Complete the text:

By setting the first partial

of Planck's equation in wavelength form equal to zero, iterative

may be used to find pairs of (λ,T) that to some significant digits represent the peak

for a given temperature and vice versa.

8 Complete the text:

Match up the type of mathematics with each of the possibilities below:
numbers - A
dimensional analysis - B
arithmetic - C
algebra - D
exponentials - E
probability - F
x2 + y2 = z2

.
PeV

.
α 1/σ

.
ex + ey

.
A(x) = A0 · e-bx

1015

.

9 True or False, log10(100000) = 6.

TRUE
FALSE

10 Complete the text:

Match up the radiation mathematics symbol with the radiation phenomena:
thermal neutron capture rate - A
change in particle diameter - B
power law - C
Planck constant - D
Boltzmann constant - E
electrostatic force - F
Jeans length - G

.

.

.

.

.

.

11 True or False, dex(x) = ex.

TRUE
FALSE

12 Which of the following is radiation mathematics?

the planet Mercury
n0
 → p+
 + e−
 + ν
e
the solar wind
Cepheus X-1
nucleosynthesis near the surface of the Sun
lightning on Jupiter

13 True or False, Gamma radiation which exceeds the neutron binding energy of a nucleus can eject a neutron.

TRUE
FALSE

14 Complete the text:

Match up a likely locational notation with each of the possibilities below:
atomic number - A
atomic weight - B
average hat - C
exponent - D
index - E
pre-coefficient - F
operation - G
range - H
variable - I

15 True or False, e5 x e3 = e8.

TRUE
FALSE

16 Chemistry phenomena associated with metallicity are

blue main sequence stars
[H]
log10(NFe/NH)star
ln(NFe/NH)star
approximately 1.8 percent of M⊙
[Fe/H]

17 Yes or No, For preliminary calculations, neglecting all fields components higher than quadrupolar, an inhomogenic Hill differential equation can be used as an approximation.

Yes
No

18 Chemistry phenomena associated with olivines are

substituting values for y from 0 to 1 produce ideal compositions
forsterite Mg2SiO4
atmospheres
fayalite Fe2SiO4
silicates
plastic

19 Mathematical phenomena associated with an exponential decrease are

a positive exponent
a negative absorption coefficient
the number of atoms per cm3
the initial absorption of a monolayer
the absorption cross section in cm2
thinness of material

20 Statistical phenomena associated with the Gaussian function are

√
π
x ε R
the mean
()2
standard deviation

Hypotheses

  1. Much of the mathematics used to describe models in original reseaarch/radiation astronomy was developed in physics.

See also

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