Sunday

November 23, 2014

November 23, 2014

Posted by **Luis** on Saturday, June 25, 2011 at 11:11pm.

The stars have the same mass, the distance between them is one billion km (1x10^9 km), and the time each takes for one orbit is 10.4 Earth years.

Determine the mass of each star (m1=m2).

(this problem DOESN'T uses the gravity formula with the G constant.

this problem must be solve using circular dynamics ecuations so please help!!!!)

- Physics -
**drwls**, Sunday, June 26, 2011 at 7:10amActually, the solution will involve the G constant. You will have to use it to compute the mass, unless you use Kepler's third law in a different form the involves the sum of the masses of the two objects, in terms of solar mass. "G" is already "built in" to that solution

Equal-mass stars revolve in orbits (circular in this case) about a point midway between the stars. The radius of each star's orbit is d/2, where d is the interstellar separation, 10^12 m.

Centripetal force = Gravity force

Let either mass be m.

G*m^2/d^2 = m*V^2/(d/2)= 2m*V^2/d

or G*m/d = 2*V^2

V*Period = 2*pi*d/2 = pi*d

Eliminate V from the first equation, using V from the second equation, and solve for the mass, m

V = pi*d/Period = 9573 m/s

m = 2*d*V^2/G

**Answer this Question**

**Related Questions**

Astro-Physics(Binary Star System) - In a binary star system in which 2 stars ...

physics - Two stars in a binary system orbit around their center of mass. The ...

Physics - In a binary star system in which 2 stars orbit each other about their ...

Physics - In a binary star system, two stars orbit about their common center of ...

Physics - Two stars in a binary system orbit around their center of mass. The ...

Physics - Two stars in a binary system orbit around their center of mass. The ...

Physics - Two stars in a binary system orbit around their center of mass. The ...

Physics - Two stars in a binary system orbit around their center of mass. The ...

physics 12 - a certain binary star system consists of two stars of masses m and ...

Physics Classical Mechanics - Consider a double star system under the influence ...