Question

For a binary system, Kepler's 3rd law says that the average distance between the stars cubed divided by the time to complete an orbital cycle squared = sum of masses of binary stars (all in astronomical units, earth-sun distance). If this value is coined constant A, and Sa and Sb are respectively the average distance from each star to center of mass of the system, find the masses of two stars separately in terms of A, Sa and Sb.

Answer #1

A binary pulsar is a system of two neutron stars of equal mass
(each about 1.4 times the mass of the sun and a radius of 10km). A
particular binary pulsar has two neutron stars orbiting around
their center of mass, and separated by a (center to center)
distance of d= 7.0*10^8m. Assume the orbit is circular.
a) Calculate the orbital speed of the stars in meters/second.
b) Calculate the magnitude of the centripetal acceleration of one
of the stars...

Suppose that two stars in a binary star system are separated by
a distance of 70 million kilometers and are located at a distance
of 200 light-years from Earth.
What is the angular separation of the two stars? Give your
answer in degrees, then give your answer in arcseconds.
Express your answer using two significant figures.

The spectral lines of two stars in a particular eclipsing binary
system shift back and forth with a period of 7 months. The lines of
both stars shift by equal amounts, and the amount of the Doppler
shift indicates that each star has an orbital speed of
1.1×105 m/s relative to the other.
What are the masses of the two stars? Assume that each of the
two stars traces a circular orbit around their center of mass.
(Hint: See Mathematical...

You've just discovered another new x-ray binary, which we will
call Hyp-X2 ("Hyp" for hypothetical). The system Hyp-X2 contains a
bright, G2 main-sequence star orbiting an unseen companion. The
separation of the stars is estimated to be 13 million kilometers,
and the orbital period of the visible star is 4.7 days.
Use Newton's version of Kepler's third law to calculate the sum
of the masses of the two stars in the system.
Express your answer using two significant figures and...

Two stars M_1 and M_2 of equal mass make up a binary star
system. They move in a circular orbit that has its center at the
midpoint of the line that separates them. If M_1=M_2=5.45 sm (solar
mass), and the orbital period of each star is 2.70 days, find their
orbital speed. (The mass of the sun is 1.99x10^30kg).
Point fully awarded to correct answer with full break-down of
formulas that led to correct answer.

Chiron is a comet in orbit around the Sun. Chiron's orbital
period is about 50.4 years and the orbit has an eccentricity of
about 0.38.
1) average distance from the Sun, a = ___________ AU
(round to the first decimal place, 3 significant
figures)
Set the semimajor axis equal to the a you found using Kepler's
3rd Law.
2) P squared = _____________ (round to the nearest
hundred)
3) a cubed =________________ (round to the nearest
hundred)
Click on show...

The stars, gas and dust in a galaxy rotate about the center of
the galaxy. We would like to know exactly how to describe the
rotation of all parts of the galaxy. In other words, we want to
know if galaxies rotate like merry-go-rounds, or like planets orbit
the Sun, or in some other way.
1. Do points near the center of a merry-go-round complete a full
rotation in the same amount of time as points near the outer edge...

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