Two asteroids with a mass of 6.687 x 1015 kg each are only acted upon by each other’s gravitational pull. If they are separated by a constant distance of 2000 km. What is the angular velocity of the line joining them? Gravitational constant is 6.67 x 10-11 m3 kg-1 s-2.

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Two-Body Orbital Mechanics topics include: Two body problems, motion and conservation equations, celestial sphere concept, orbital elements, orbits, elliptical orbits, circular orbits, and hyperbolic orbits. Two-body orbital mechanics can be used to predict the motion and determine orbits of planets, moons, and satellites.  The two-body problem in classical mechanics is the prediction of the motion of two massive objects that are treated as point particles. In this problem, the two objects interact only with each other, and the only force affecting each object comes from the other.  The... Show more

Two asteroids with a mass of 6.687 x 10<sup>15</sup> kg each are only acted upon by each other’s gravitational pull. If they are separated by a constant distance of 2000 km. What is the angular velocity of the line joining them? Gravitational constant is 6.67 x 10<sup>-11</sup> m<sup>3</sup> kg<sup>-1</sup> s<sup>-2</sup>.<br /><img src='https://www.fatskills.com/engineering/orbital-mechanics-questions-answers-two-body-problem-2-q8.png' alt='' width='560' height='401' class='alignnone size-full wp-image-312211' />