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(b) Use the mass-radius and mass-luminosity relations for main-sequence stars to express the dynamical timescale of...
Ty Lifetimes. Zero-age main sequence stars much less than 0.5Mo are the alternate form of "dark m...
ty Lifetimes. Zero-age main sequence stars much less than 0.5Mo are the alternate form of "dark matter". Assume a brown dwarf's luminosity derives from gravitational contraction alone. Its mass is 0.05 Mo, and its luminosity is 3 x 10-3Lo. Such stars maintain a tight correlation between radus and mass given by R 9 x 10 (M/Mo)-1em. If we assume that its luminosity has been constart a) calculate a radiation temperature and wavelength to demonstrate these stellar objects as "dark". (b)...
Last time we found that the time a star stays on the main sequence depends critically...
Last time we found that the time a star stays on the main sequence depends critically on its mass. We found this result by using the empirical relation that the luminosity L depends strongly on its mass, L∝M^3.5. Now let us assume that instead for all stars the luminosity L is directlyproportional to M, L∝M. If the sun stays on the main sequence for 10Gyr, how long would a60M star stay on the main sequence, and a 0.5 M star, given...
All of this is nice, but stars don't do much as they exist on the Main...
All of this is nice, but stars don't do much as they exist on the Main Sequence except stay extremely stable and fuse hydrogen into helium in the core. But for a high-mass star like Betelgeuse what will we expect to happen when hydrogen runs out in the core? Helium will start fusing in the core, a shell of hydrogen will start fusing around the core, and the rest of the star will expand causing the radius to increase, the...
Using the Mass-Luminosity relationship, estimate the luminosities for each of the following stars: 25 MSun star...
Using the Mass-Luminosity relationship, estimate the luminosities for each of the following stars: 25 MSun star 2.5 MSun star 0.25 MSun star
It is thought that stars form with an initial mass function dN dM x M235AM235 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/belo...
It is thought that stars form with an initial mass function dN dM x M235AM235 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/below what stellar mass do 50% of the total number of stars form? (b) Stars above what mass are responsible for producing 10% of the total stellar mass? (c) Main sequence stars have a power law relation between mass and luminosity, L x...
30. Why are the Balmer lines in the spectra of giant stars narrower than those for...
30. Why are the Balmer lines in the spectra of giant stars narrower than those for main-sequence stars? 31. Binary stars are [common, very rare]. 32. Binary stars allow us to determine what very important property of stars? 33. In a binary system the center of mass lies closer to the [more massive, less massive] star. 34. What type of star is Sirius B? [main sequence, white dwarf, giant] 35. Why does a spectroscopic binary system only allow us to...
It is thought that stars form with an initial mass function dN/dM ox M2.5 AM-2.35 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/...
It is thought that stars form with an initial mass function dN/dM ox M2.5 AM-2.35 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/below what stellar mass do 50% of the total number of stars form? (b) Stars above what mass are responsible for producing 10% of the total stellar mass? (c) Main sequence stars have a power law relation between mass and luminosity, L x...
It is thought that stars form with an initial mass function dN dM x M235AM235 where...
It is thought that stars form with an initial mass function dN dM x M235AM235 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/below what stellar mass do 50% of the total number of stars form? (b) Stars above what mass are responsible for producing 10% of the total stellar mass? (c) Main sequence stars have a power law relation between mass and luminosity, L x...
3. Plot a graph of luminosity (in terms of the Sun's luminosity) as a function of...
3. Plot a graph of luminosity (in terms of the Sun's luminosity) as a function of mass (in solar masses) for the main sequence stars. Begin with stars whose mass is a fraction of the Sun's, and finish with stars whose mass is three times greater than the mass of the sun. Make calculations to find the sought coordinates. The masses to be used (in terms of solar mass) are as follows: 1) MM,- 1/4 2) M/M,-1/2 3) MM,-1 4)...
5. The HR Diagram. Suppose we consider a main sequence “O star” much more massive than...
5. The HR Diagram. Suppose we consider a main sequence “O star” much more massive than the sun. According to the formulae shown in lecture: a. What is the luminosity of a main-sequence O star (in solar units, Lsun) of mass 100 solar masses? b. If the sun were a 100 solar mass main-sequence O star, how much brighter would it appear from the earth? c. What is the hydrogen fusing lifetime of this star in years? d. If the...
ty Lifetimes. Zero-age main sequence stars much less than 0.5Mo are the alternate form of "dark matter". Assume a brown dwarf's luminosity derives from gravitational contraction alone. Its mass is 0.05 Mo, and its luminosity is 3 x 10-3Lo. Such stars maintain a tight correlation between radus and mass given by R 9 x 10 (M/Mo)-1em. If we assume that its luminosity has been constart a) calculate a radiation temperature and wavelength to demonstrate these stellar objects as "dark". (b)...
All of this is nice, but stars don't do much as they exist on the Main Sequence except stay extremely stable and fuse hydrogen into helium in the core. But for a high-mass star like Betelgeuse what will we expect to happen when hydrogen runs out in the core? Helium will start fusing in the core, a shell of hydrogen will start fusing around the core, and the rest of the star will expand causing the radius to increase, the...
It is thought that stars form with an initial mass function dN dM x M235AM235 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/below what stellar mass do 50% of the total number of stars form? (b) Stars above what mass are responsible for producing 10% of the total stellar mass? (c) Main sequence stars have a power law relation between mass and luminosity, L x...
It is thought that stars form with an initial mass function dN/dM ox M2.5 AM-2.35 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/below what stellar mass do 50% of the total number of stars form? (b) Stars above what mass are responsible for producing 10% of the total stellar mass? (c) Main sequence stars have a power law relation between mass and luminosity, L x...
It is thought that stars form with an initial mass function dN dM x M235AM235 where A is a constant of proportionality to be determined. Stars are born in the range from 0.08 to 120 Mo (a) Above/below what stellar mass do 50% of the total number of stars form? (b) Stars above what mass are responsible for producing 10% of the total stellar mass? (c) Main sequence stars have a power law relation between mass and luminosity, L x...
3. Plot a graph of luminosity (in terms of the Sun's luminosity) as a function of mass (in solar masses) for the main sequence stars. Begin with stars whose mass is a fraction of the Sun's, and finish with stars whose mass is three times greater than the mass of the sun. Make calculations to find the sought coordinates. The masses to be used (in terms of solar mass) are as follows: 1) MM,- 1/4 2) M/M,-1/2 3) MM,-1 4)...
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