In the binary system of two neutron stars discovered by Hulse & Taylor, one of the...
In the binary system of two neutron stars discovered by Hulse & Taylor, one of the neutron stars is a pulsar. The distance between them varies from 1.1R⊙ and 4.8R⊙. The time interval between pulses is not constant: It is greatest when the two stars are closer to each other and least when they are farthest apart.
Assuming that the distance between the neutron stars decreases by 3mm after every orbit, how long will it take for the neutron stars to collide with each other. Treat the stars as point particles so they collide when the distance reaches zero, essentially.
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In the binary system of two neutron stars discovered by Hulse
& Taylor, one of the...
Need help with this problem. Thanks. Binary Stars Q1) A binary star system has a distance...
Need help with this problem. Thanks.
Binary Stars Q1) A binary star system has a distance from Earth of 42.2 light years. The distance between the stars is 1.08 x 101 m and the rotation period is 104 days. Assume equal masses of the stars, and circular orbits (centre of mass of the system is at rest relative to the Earth). a) Calculate the speed of the stars relative to the centre of mass of the system. Further assume the...
Two neutron stars are separated by a distance of 1.0 x 1012 m. They each have...
Two neutron stars are separated by a distance of 1.0 x 1012 m. They each have a mass of 1.0 x 1030 kg and a radius of 1.0 x 105 m. They are initially at rest with respect to each other. As measured from that rest frame, how fast are they moving when (a) their separation has decreased to one-half its initial value and (b) they are about to collide
Two neutron stars are separated by a distance of 1.0 x 101 m. They each have...
Two neutron stars are separated by a distance of 1.0 x 101 m. They each have a mass of 1.0 x 10" kg and a radius of 1.0 x 100 m. They are initially at rest with respect to each other. As measured from that rest frame, how fast are they moving when (a) their separation has decreased to one-half its initial value and (b) they are about to collide? (a) Number Units (b) Number Units
Alpha Centauri A and B are Sun-like stars, and together they form the binary star Alpha...
Alpha Centauri A and B are Sun-like stars, and together they form the binary star Alpha Centauri AB. Alpha Centauri A has 1.1 times the mass of the Sun, while Alpha Centauri B has 0.907 times the Sun’s mass. (Sun’s mass is 1.989 × 1030 kg.) The pair orbit about a common centre with an orbital period of 79.91 years. Their elliptical orbit is eccentric, so that the distance between A and B varies, but if we assume it is...
A binary star system has two stars, each with the same mass as our sun, separated...
A binary star system has two stars, each with the same mass as our sun, separated by 1.50×1012 m . A comet is very far away and essentially at rest. Slowly but surely, gravity pulls the comet toward the stars. Suppose the comet travels along a straight line that passes through the midpoint between the two stars. What is the speed at the comet's midpoint?
The spectral lines of two stars in a particular eclipsing binary system shift back and forth...
The spectral lines of two stars in a particular eclipsing binary system shift back and forth with a period of 6 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 1.2×105 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...
Two neutron stars are separated by a distance of 1.0 1010 m. They each have a mass of 1.0 1030 kg and a radius of 1.0 1...
Two neutron stars are separated by a distance of 1.0 1010 m. They each have a mass of 1.0 1030 kg and a radius of 1.0 105 m. They are initially at rest with respect to each other. As measured from that rest frame, how fast are they moving at the following positions? ( a) Their separation has decreased to one-half its initial value. m/s (b) They are about to collide. m/s
What is the reason for two stars to have the same brightness but one being 100...
What is the reason for two stars to have the same brightness but one being 100 times more luminous than the other? One of them is 100 times more distant One of them is 10 times more distant One of them is 1000 times more distant One of them is 4π times more distant The Brightness scale like the inverse of the square of the distance (1/R2) T F What is parallax? The distance of a star A method to...
A certain binary star system consists of two stars with masses m1 and m2, separated by...
A certain binary star system consists of two stars with masses m1 and m2, separated by a distance b. A comet, originally nearly at rest in deep space, drops into the system and at a certain point in time arrives at the midpoint between the two stars. For that moment in time, find its velocity, v, symbolically in terms of b, m1, m2, and fundamental constants. p
Plaskett's binary system consists of two stars that revolve in a circular orbit about a center...
Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v vector| = 170 km/s and the orbital period of each is 14.5 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 times 10^30 kg.) 1.02e-9 If you...
Need help with this problem. Thanks.
Binary Stars Q1) A binary star system has a distance from Earth of 42.2 light years. The distance between the stars is 1.08 x 101 m and the rotation period is 104 days. Assume equal masses of the stars, and circular orbits (centre of mass of the system is at rest relative to the Earth). a) Calculate the speed of the stars relative to the centre of mass of the system. Further assume the...
Two neutron stars are separated by a distance of 1.0 x 101 m. They each have a mass of 1.0 x 10" kg and a radius of 1.0 x 100 m. They are initially at rest with respect to each other. As measured from that rest frame, how fast are they moving when (a) their separation has decreased to one-half its initial value and (b) they are about to collide? (a) Number Units (b) Number Units
Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v vector| = 170 km/s and the orbital period of each is 14.5 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 times 10^30 kg.) 1.02e-9 If you...
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