Suppose the binary system is 1018 m away from us and the maximum distance between them is 100 m. What is their maximum angular separation in radians? Express your answer in the format a^b.
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- A certain corner of a room is selected as the origin of a rectangular coordinate system. A fly is crawling on an adjacent wall at a point having coordinates (2.9, 2.7), where the units are meters. Express the location of the fly in polar coordinates. Looking for; radius in meters and theta is equal to what degree?Earth R y 0 Sun -X Determine the distance between the positions of the earth if the angle between its position vectors is 0. Express your answer in terms of the variables R and 0.I need help with this hw problem.
- If you project a tennis ball at speed v0 on a horizontal surface, what must the angle of the projection be to get the maximum area under the trajectory? What is the area? Hint: A = ∫ydxHello, I need help with question 9 and the statement below. Please and thank you.A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass M. The stars orbit in the same sense, and are positioned one-third of a revolution apart from each other. Show that the period of each of the three stars is given by the following expression. (Submit a file with a maximum size of 1 MB.) T = 2πt در G(M+ Choose File No file chosen m
- Double stars are stars which are close enough and move slowly enough that they orbit each other. Each star is located at the focus of the ellipse of its orbit around the other star. Consider a binary star system which has an average angular separation of 6.1" arc and a period of 87.3 years. The annual parallax of the stars, p, is 0.192"arc. We call the measure of the angular separation of the two stars, . [remember that 1 degree is divided into 60 'arc (read this as 60 minutes of arc) and each 1'arc is subdivided into 60"arc (read this as 60 seconds of arc)]. The distance to the binarystar system is calculated from its parallax , p, of 0.192"arc, which has been measured carefully over a period of the last 92 years. First we must calculate the distance to the binary system: D = 1/p where p is the parallax in seconds of arc giving D in parsecs. The distance, D = 1/p = ________ pc How many light years does this correspond to? (remember that 1 pc = 3.26 lt yr) D (in light…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| 190 km/s and the orbital period of each is 12.9 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses M XCM MFor a circular velocity profile of the type Θ(r)=αr3/10Θ(�)=��3/10, where α� is a constant and r� is the radial distance from the centre of a spiral galaxy, find the ratio κ(r)/Ω(r)�(�)/Ω(�), where κ(r)�(�) is the epicyclic frequency and Ω(r)Ω(�) is the angular velocity. Enter your answer to 2 decimal places.