Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible starhas orbital speed v = 270 km/s, orbital period T = 23.2 days, and approximate mass m₁ = 6.5Ms, where Ms is the Sun's mass, 1.99 × 1030kg. Assume that the visible star and its companion star, which is dark and unseen, are both in circular orbits (see the figure). Find theratio of the approximate mass m² of the dark star to Ms.NumberUnitsM2mi

The question asks about the mass of a dark, unseen star in a binary system with a visible star. In…

Answered: Hunting a black hole. Observations of…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 63AP: The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away...

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Astronomers discover a binary system with a period of 90 days. Both stars have a mass twice that of the Sun. How far apart are the two stars? Both stars revolve around the center of mass in an orbit with radius r. F2oni d=ar Fron2 The distance between the stars is 2r.
Two stars in a binary system, are seen edge-on from Earth. The HB line emitted by Star 1 varies between 486.162 nm and 486.186 nm, while that emitted by Star 2 varies between 486.140 nm and 486.208 nm. Assuming the stars are on a circular orbit, calculate the orbital velocity of the two stars and their mass ratio. What additional observational data is required to determine the mass of the system?
The velocity curve for a double spectroscopic binary is shown in the sketch. The system is viewed edge-on, i.e., with an inclination angle of i = 90°, so that the maximum possible Doppler shifts for this system are observed. line 400 So = U, Ani 300 200 loo = v Ain i 100 -100 -200 -300 400 • 1 2 3 • s 7 a 10 Time (days) Find the mass of star 1, mı, in terms of solar masses. 1 solar mass = 2x1030kg Round your answer to three significant figures. Doppler Velocity (20su)
In a binary star system, two stars orbit about their common centre of mass, as shown in figure. If 12 = 2r1, what is the ratio of the masses m2/m, of the two stars? CM m2 2
A gravitational dead zone is found between two hyper giant stars, HG A and HG B, 34 million km from HG A. It is known that the mass of B is 25 x the mass of A. Determine the distance between the two stars in millions of km.
A visual binary is composed of two stars A and B. This visual binary has a rotation period of 59.94 years and a distance of 3.64 pc from Earth. Assuming that the plane of the orbit is in the plane of the sky, the true angular extent of the semi-major axis is 7.61". The ratio of the distances of A and B from the centre of mass is aд/aB = 0.6. Find the masses of each member of the system. NOTE: to keep the calculation easier you should express the mass of the system in units of solar masses.
What is the Schwarzschild radius (in km) of a 6Msun black hole? What fraction of the Earth's radius is this? What percent of the speed of light (2.998 x 108 m/s) is the escape velocity at the Schwarzschild radius? Part 1 of 3 The Schwarzschild radius of a black hole is given by: 2GM Rs = c2 so for the given mass, 2G(6)(Msun) Rs c2 where M. Sun = 1.99 x 1030 kg. Then convert this into kilometers using 1 km = 1,000 m. Rs km
(Astronomy) PSR1913+16 Problem III. As the shape of the graph shown is not skewed, the orbit can be assumed circular. Also assume the system is viewed edge-on (that is, the orbital system is not inclined to the observer). Using these assumptions, the maximum radial velocities, and the orbital period T = 7.75 hours, find the orbital radii of the stars from the center of mass. (Hints: The figures below may be helpful. Use v = 2πr/P, where v is velocity, P is period, and r is radius. Note: redshifts have positive radial velocities values in the upper figure, whereas blueshifts have negative radial velocity values.)
The mass of a star is 1.99·1031 kg and its angular velocity is 1.60E-7 rad/s. Find its new angular velocity if the diameter suddenly shrinks to 0.27 times its present size. Assume a uniform mass distribution before and after. Icm for a solid sphere of uniform density is 2/5 mr2.
A planet of mass ?=5.45×10^24 kg is orbiting in a circular path a star of mass ?=4.45×10^29 k . The radius of the orbit is ?=8.35×107^7km. What is the orbital period (in Earth days) of the planet ?planet?
The figure above shows the light-curve obtained from continuous monitoring of the flux received from a star. Assuming that the dips arise because a planet orbiting the star passes between it and the observer once per orbit, estimate the orbital period (in days), the orbital semi-major axis (in Astronomical Units), and the physical radius of the planet (in units of the Earth’s radius). The star has a mass of 1.47 M⊙ and a radius of 1.84 R⊙.
A cepheid star is located at a distance of 18.7kpc from the Earth and has an apparent visual magnitude of 13.1. Determine its pulsation period in days. Consider the following expression of the Leavitt relation MV=−2.78logPdays−1.35��=−2.78log⁡�days−1.35, where MV�� is the absolute visual magnitude and Pdays�days the pulsation period in days to 2 decimal places.

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