DE VARIIS LATINIS GRAECISQVE COLLOQVENDI FORMVLIS ENCHIRIDION IN ANGLICAM LINGVAM CONVERSIS ΠΕΡΙ ΠΟΙΚΙΛΩΝ ΡΩΜΑΙΚΩΝ ΤΕ ΚΑΙ ΕΛΛΗΝΙΚΩΝ ΤΗΣ ΟΜΙΛΙΑΣ ΡΗΤΡΩΝ ΕΝΧΕΙΡΙΔΙΟΝ ΕΙΣ ΤΗΝ ΑΝΓΛΙΚΗΝ ΓΛΩΤΤΑΝ ΜΕΘΕ...
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DE VARIIS LATINIS GRAECISQVE COLLOQVENDI FORMVLIS ENCHIRIDION IN ANGLICAM LINGVAM CONVERSIS ΠΕΡΙ ΠΟΙΚΙΛΩΝ ΡΩΜΑΙΚΩΝ ΤΕ ΚΑΙ ΕΛΛΗΝΙΚΩΝ ΤΗΣ ΟΜΙΛΙΑΣ ΡΗΤΡΩΝ ΕΝΧΕΙΡΙΔΙΟΝ ΕΙΣ ΤΗΝ ΑΝΓΛΙΚΗΝ ΓΛΩΤΤΑΝ ΜΕΘΕ...Full description
Beginners guide to Astronomy for the BSA Astronomy Merit Badge. Part 1 of 3.Full description
This presentation required for people who interested to learn astronomy and prepare National Science Olympiad
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Astronomical formulae
Formulas compiled by Frank Sorensen 2002-2003. Last changed 2004-10-19. All page- or equation numbers refer to Carroll & Ostlie: "An introduction to modern astronomy", Addison-Wesley Publishing Company Inc. 1996 Equations without numbers or references are from my own notes.
Side 1 af 36
Constants Radiation constant
=
The speed of light
=
Gravitational constant
=
Plancks constant
=
Boltzmann's constant
=
Luminosity of the sun
=
Epoch correction
=
Mass of electron
=
Mass of Hydrogen atom
=
Mass of proton
=
Mass of sun
=
Abso Absolu lute te bolo olometr metric ic magn magnit itud udee of the sun
=
Epoch correction
=
Period of the Earth
=
Universal gas constant
=
Rydberg constant
=
Stefan-Boltsman constant
=
Cross section for Thompson electron electron scattering =
Side 2 af 36
Constants Radiation constant
=
The speed of light
=
Gravitational constant
=
Plancks constant
=
Boltzmann's constant
=
Luminosity of the sun
=
Epoch correction
=
Mass of electron
=
Mass of Hydrogen atom
=
Mass of proton
=
Mass of sun
=
Abso Absolu lute te bolo olometr metric ic magn magnit itud udee of the sun
=
Epoch correction
=
Period of the Earth
=
Universal gas constant
=
Rydberg constant
=
Stefan-Boltsman constant
=
Cross section for Thompson electron electron scattering =
Side 2 af 36
Variables acceleration Area Average distance from the sun Semimajor axis in ellipse Semimajor axis of object 1 (known) Semimajor axis of object 2 (unknown) Centripetal acceleration Interstellar extinction coefficient Semimajor axis of reduced mass Angle subtended by semimajor axis Right ascension Angle subtended by semimajor axis 1 (known) Angle subtended by semimajor axis 2 (unknown) Apparent blue magnitude Semiminor axis in ellipse Blackbody intensity at wavelength lamda at Temperature T Bolometric correction Specific heat at constant pressure Specific heat at constant volume Ionization energy Aperture Distance [cm] Distance [AU] Distance [pc] Absorptionline spreading Differential vertical optical depth Differential optical depth Declination Full width of 21 cm line at half maximum Change in right ascension Proper motion Change in declination Change in wave length Time interval Differential intensity
Side 3 af 36
Differential Luminosity Differential mass interval Differential mass interval inside star Differential pressure interval Luminosity gradient Differential radiation pressure Differential heat interval Differential radius interval Differential distance Differential entropy interval Differential temperature interval Differential time interval Differential speed interval Differential volume interval Differential hydrogen mass fraction Eccentricity Total mechanical energy of system Energy of a photon Energy generation rate Energy generation rate due to gravity Focal ratio Force Radient Flux Flux of object 1 (known) Flux of object 2 (unknown) Focal length of eyepiece Focal length Focal length of objective Radiation pressure Flux at surface Acceleration of gravity on the surface of star/planet Ratio of specific heats Adiabatic limit Pressure scale height Projection angle Initial intensity at wave length lambda Intensity at wavelength lambda Emission coefficient Kinetic energy
Side 4 af 36
Opacity Opacity at wavelength lambda Luminosity Steplength Luminosity of object 1 (known) Luminosity of object 2 (unknown) Maximum radiative luminosity Approximate ratio of proton potential and kinetic energy Wavelength Wavelength of maximum intensity Observed wavelength Wavelength at rest Angular magnification Bolometric absolute magnitude Bolometric apparent magnitude Main quantum state number Total mass of star/planet/atom/object Bolometric absolute magnitude of object 1 (known) Bolometric magnitude of object 1 (known) Mass of object 1 (known) Bolometric absolute magnitude of object 2 (unknown) Bolometric magnitude of object 2 (unknown) Mass of object 2 (unknown) Average mass of gas particle Absolute blue magnitude Jeans mass Mass inside radius Absolute ultraviolet magnitude Absolute visual magnitude Mean molecular weight Proper motion Reduced mass Main quantum state number Number of atoms pr cm^3 Number of illuminated lines in the grating Number of particles/atoms Number of steps Order of diffraction lines
Side 5 af 36
Time difference in years (Epoch) Total number density pr volume Column density of neutral hydrogen (in unit 1/cm) Number of atoms in ionization state i Index of refraction at wavelength lambda Number of particles moving at the speed v Frequency Momentum Paralax in arcseconds Period Pressure Pressure of free electrons Radiation pressure Nuclear energy generated pr particle Orbit radius Radius of/inside star/planet Distance to center of mass of object 1 (known) Radius of curvature of surface 1 (known) Distance to center of mass of object 2 (unknown) Radius of curvature of surface 2 (unknown) Distance at aphelion Jeans radius Distance at perihelion Density Distance traveled Synodic period Cross section for bound-free photoionization Collision cross section Temperature / Effective temperature (Kelvin) Free-fall time for a homologous collapse Optical depth of 21 cm line center Optical depth Incident angle Smallest angular seperation Apparent ultraviolet magnitude Inclination of rotational axis Internal energy Potential energy
Side 6 af 36
Apparent visual magnitude Orbital velocity Speed Speed of stellar wind Speed of star 1 (known) in binary system Speed of star 2 (unknown) in binary system Velocity at aphelion Rotational speed at equator Escape velocity Most probable speed Velocity at perihelion Radial velocity of object 1 (known) Radial velocity of object 2 (unknown) Radial velocity Root mean-squared speed of particles Tangential velocity Hydrogen Mass fraction Helium mass fraction Metal mass fraction Redshift Partition function
Ratio of specific heats Eq. p0360 (10.87) Condition for convection Eq. p0354 (10.72) Ratio of specific heats Eq. p0356 (10.81) Adiabatic temperature gradient
Adiabatic limit Eq. p0360 (10.87) Condition for convection
