Question

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
1.1×10^{5} 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 Insight Measuring Stellar
Masses.)

M1=M2= = ??? MSun

Answer #1

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.

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...

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.

A binary star system consists of two equal mass stars that
revolve in circular orbits about their center of mass. The period
of the motion, T = 26.4 days, and the orbital speed v = 220 km/s of
the stars can be measured from telescopic observations. What is the
mass (kg) of each star?
Best answer goes to the correct answer with steps thank you

Two identical stars with mass M orbit around their center of
mass. Each orbit is circular and has radius R, so that the two
stars are always on opposite sides of the circle.
A) Find the orbital speed of each star and the period of the
orbit.
B) Suppose each identical mass for the binary stars is halved,
then the orbital period would change by:
a. Remain the same
b. Change by a factor of 1/?2
c. Change by a...

An analysis of the spectrum of an eclipsing, double-line,
spectroscopic binary system consisting of star A and star B shows
radial velocities vA = 7.2 km/s and vA = 28.8 km/s. From the
sinusoidal shapes of the velocity curves, it is also apparent that
the orbits are nearly circular with a period of 9.94 years.
A) Calculate the maximum Doppler shift of the hydrogen Balmer
H-alpha (656.281 nm) line ∆?A =..? nm for the star A.
B) Determine the orbital...

Suppose that a binary star system consists of two stars of equal
mass. They are observed to be separated by 360 million kilometers
and take 5.0 Earth years to orbit about a point midway between
them. What is the mass of EACH?

Suppose that a binary star system consists of two stars of equal
mass. They are observed to be separated by 325 million kilometers
and take 4.00 Earth years to orbit about a point midway between
them. What is the mass of each?

Imagine two planets orbiting a star with orbits edge-on to the
Earth. The peak Doppler shift for each 75 m/s, but one has a period
of 7 days and the other has a period of 700 days. The star has a
mass of one solar mass. Assume 1 solar mass equals 2*10^30 kg.
1.) Calculate the mass of the shorter period planet. (Hint: See
Mathematical Insight Finding Masses of Extrasolar Planets)
2.) Calculate the mass of the longer period planet.

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