In a binary system, the maximum value of the radial velocity of one star with respect to the other is 60km/s, the inclination of the orbital plane to the plane of the sky is 30°, and the period is 22 days. If the stars in the system have circular orbits, what is the sum of their masses

Q: Based on your radial velocity curve, record the orbital period P in days. This is the time elapsed…

A: 1) The orbital period P is the time elapsed between two subsequent peaks or troughs on the curve.…

Q: What is the average density of a neutron star that has the same mass of the sun (1.9891 × 1030 kg)…

A: Given Data:Mass of the sun Radius To Determine:The average density of the neutron star.

Q: What is the average density of a neutron star that has the same mass as the sun if the radius of the…

A: Given Data: Radius of neutron star, R=41.591 km=41.591×103 m Mass of neutron star =Mass of sun,…

Q: The Hα spectral line has a rest wavelength of 6562.8 ˚A (remember: 1 ˚A = 10−10 m). In star A, the…

A: Given: The wavelength of the Hα=6562.8 Ao. The wavelength of Hα spectral of star A is 6568.4 Ao. The…

Q: Which spectral line does this likely correspond to?

A: we can use the doppler shift formula to find laboratory wavelength.

Q: Given P(-7, -5, -34) in rectangular coordinate system, what is r in spherical coordinates of P?…

A:

Q: Consider the attached light curve for a transiting planet observed by the Kepler mission. If the…

A: Radius of the exoplanet

Q: Two stars are in a binary system. One is known to have a mass of 0.700 solar masses. If the system…

A:

Q: What is the average density of a neutron star that has the same mass as the sun but a radius of only…

A: Given,  mass of sun = mass of neutron star (m) = 1.989×1030 kg  radius = 86.31 km

Q: 5.15. We observe a binary system in which the tw stars are 1 and 2 arc sec, respectively, from the…

A: Answer the following question is

Q: A star has a parallax of 0.8 seconds of arc. What is the distance of the star?

A: Parallax can be defined as the change in the position of an object due to a change in the observer's…

Q: The velocities of the two stars are 28km/s and 13km/s, and their periods are both 16 years. Find the…

A: Formula Let period of a star is T, velocity is v, orbital radius is r and , mass is M, Now the…

Q: The difference in absolute magnitude between two objects at the same distance is related to their…

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

Q: How far away would the Sun need to be to be just visible to the naked eye (apparent magnitude =…

A: Solution: Given that apparent magnitude, m = 5.90 the absolute magnitude of the Sun, M = 4.83

Q: A Spinning Star has a period of rotation of T. Over a period of a million years, its radius…

A: Write the expression for the initial period of the given star, and solve for its initial angular…

Q: A certain binary system consists of two stars that have equal masses and revolve in circular orbits…

A:

Q: Hertzsprung-Russell Diagram

A: In the sky, there are many groups of stars. Some of them are small. while some of them are large.…

Q: The apparent magnitude of a star is observed to vary between m = +0.4 and m = +0.1 because the star…

A: Given: The apparent magnitude of the star varies between m+ = 0.4  and m- = 0.1 The radius of the…

Q: What star has the largest stellar parallax as measured from opposite ends of the Earth's orbit about…

A: Parallax is the apparent displacement of an object because of a change in the observer's opinion.…

Q: Problem 4. The mass of the sun is denoted by Mo 1. The star UY Scuti has a mass of 10M. Express the…

A:

Q: Analysis of the spectrum of a solar–mass star shows a periodic back-and-forth shift of its spectral…

A:

Q: the parallax angle of a star to be 0.002 arc-seconds.  what would the  distance be to this star?

A: Given, Parallax angle, p=0.002 arc-seconds

Q: Pluto is considered a binary dwarf planet system with its companion Charon. Pluto has a mass of…

A: The center of mass of a system of particles is the point at which all of the mass of the system can…

Q: The density of Sirius B is 2×106 g/cm3 and its mass is 1.95×1030 kg. What is the radius of the white…

A: The given data are: ρ=2×106 g/cm3=2×109 kg/m3m=1.95×1030 kg Here, ρ and m represent the density and…

Q: WR 68a is a relatively newly discovered (2015) double-lined spectroscopic binary. It has an orbital…

A: Solution: Calculate the orbital radius of each planet from the given time period and velocity.…

Q: Determining the orbit of the two stars of Kepler-34, also called A and B. These two stars together…

A: For a binary system, the period T is T=4π2a3Gm1+m2 Where a is the semi-major axis,  m represents the…

Q: How close, r, to the center of a neutron star would a manned satellite be orbiting if it were at the…

A: Gravitational force of earth’s surface = Gravitational force of star GMN mr2=mg r= G MNg

Q: Star A has an apparent magnitude of –1.5 and is 12.6 light-years from Earth. Star B has an apparent…

A: Given: dA=12.6ly=3.863parsec, dB=15.6ly=4.783parsec, mvA=-1.5, mvB=0.4 The apparent magnitude of a…

Q: What is the average density of a neutron star that has the same mass as the sun but has a radius of…

A:

Q: The star Sirius has an apparent magnitude of -1.46 and appears 95-times brighter compared to the…

A: Part a: Magnitude in astronomy is defined as an index for the brightness of a star and is denoted by…

Q: Two stars are found to orbit each other once every 6.00 months. If the orbital radius (distance)…

A: According to Kepler’s third law, for a binary star system, we have the following relation between…

Q: What is the orbital period of Proxima Centauri and alpha Centauri about each other if the alpha…

A: Kepler's law is used to describe planetary motion.    Kepler's third law describes the…

Q: Two stars, named A and B, each with a mass equal to the Sun's mass are in orbit around each other.…

A:

Q: Calculate the size of a star if its surface temperature is 6000 K and has a power output of 5.6 x…

A: An ideal body capable of absorbing all the radiation that falls on it is considered a blackbody. The…

Q: What is the lifetime on the main sequence of a star whose surface temperature is 6500° K and whose…

A: Denote Stefan’s constant by σ. Evaluate the star’s luminosity (L) from its given temperature (T) and…

Q: The Sun has a radius of 6.955×105 km and a mass of 1.989×1030  kg. What is the density of the Sun?…

A: Considering sun as a sphere, the volume of sun is

Q: A star has a distance of 40 pc. What is the parallax of the star?

A: The distance of a star and its parallax are related as,   d=1/p, where, d= distance in parsecs, and…

Q: What is the average density of a neutron star that has the same mass of the sun (1.9891 × 1030 kg)…

A:

Q: A star has an apparent magnitude of 10 and an absolute magnitude of 2.5. How far is it?

A:

Q: A Type Ia supernova is observed and achieves an apparent magnitude of m = 19.89 at peak brightness.…

A: Given Values :The absolute magnitudes of Type Ia supernovae at peak brightness,    M = -19 Apparent…

Q: The figure below shows the radial velocity of a star plotted as a function of time over the course…

A: The radial velocity is a function of time, and also the radial velocity varies simple harmonically…

Q: bol = 7.77. What is th

A: Given: To find the Proxima Centauri absolute magnitude is given as,

Q: If the radius of the sun is 7.001×105  km, what is the average density of the sun in units of grams…

A:

Q: Φ(r) GM (r² +r²)¹/2

A: Gravitational Potential Density  Gravitational potential density is the density of an object at a…