Question

In a double-star system, two stars of mass 4.8 x 1030 kg each rotate about the system's center of mass at radius 1.4 x 1011 m. (a) What is their common angular speed? (b) If a meteoroid passes through the system's center of mass perpendicular to their orbital plane, what minimum speed must it have at the center of mass if it is to escape to “infinity” from the two-star system?

Answer #1

The two stars in a binary star system have masses
2.1×1030 kg and 6.5×1030 kg. They are
separated by 2.0×1012 m. Express your answers to two
significant figures and include the appropriate units.
a) What is the system's rotation period, in years?
b) What is the speed of the lightest star?
c) What is the speed of the heaviest star?

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...

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

A double-star system with each star having the mass of the Sun
has an orbital period of 1 year. A second double star system, also
with each star having the mass of the Sun, has an orbital period of
8 years. If the separation of the stars in the first system is d
and the orbits in both cases are circular, what is the separation
of the stars in the second system?
8d
0.5d
4d
2d

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.

Four stars, each having a mass M, are situated in a square
pattern (each star is at the corner of the square) and are rotating
about the system's center of mass. At what speed must they move for
the system to maintain its square shape, such that the system does
not collapse due to mutual gravitational attraction of the stars?
Assume a side length of a for the square, and express your
answer in terms of M, G, and a.

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...

URGENT!! PLEASE ANSER QUICKLY
Two identical stars with mass ? orbit around their center of
mass. Each orbit is circular and has radius R, so that the two
stars are always on the opposite sides of the circle. Find the
period of the orbit and the orbital speed of each star.

A binary star system consists of two stars revolving about their
common center of mass. If we observe the light reaching us from one
of these stars as it makes one complete revolution, what does the
Doppler eﬀect predict will happen to this light?

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...

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