10. Computer methods: orbits A satellite is in an orbit of radius r = 3REarth. Its...
a satellite orbits around this planet at a speed of 930m/s what is its radius of orbit r (in km)? what is the satellite’s height (in km) above the surface of the planet? LTE @ 10 97% TEW Done 5:25 AM app.varafy.com satellite The figure shows a satellite orbitig around a planet in a uniform circular motion. To solve such problems, spply Newton's second law: Fnet = ma What is the force exerted on the satellite by the planet? Write...
6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit around two much heavier bodies. An example would be an Apollo capsule in an Earth-moon orbit. The three bodies determine a two-dimensional Cartesian plane in space The origin is at the center of mass of the two heavy bodies, the r-axis is the line through these two bodies, and the distance between their centers is taken as the unit. Thus, if μ is the...
4. Matlab Solvers: A Case Study in Mechanics Suppose we have two objects orbiting in space, with masses 1 - and , rotating around each other. For example, think of the earth and the moon, where the moon moves around the earth at distance 1. (Of course, here both the masses and the distance are normalized.) A third object, which is relatively much smaller and does not affect the motion of the first two, is also orbiting in space. Think...