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categoryبرمجة وتطوير البرمجيات schoolبكالوريوس event_available2026-07-14

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3. Submit on zyLabs] Write a function called orbit that takes three inputs and returns two outputs. Our function is related to a planet that is in orbit around a star. Remember that planets have elliptical orbits, like this: Image from https://upload.wikimedia.org/wikipedia/commons/aa9/Picture_of_an_elliptical orbit.jpg An ellipse has two measurements that we can use define it. Those are the major axis radius (a in the picture) and the minor axis radius (b in the picture below). b a Image from http Your function should take information about your planet's orbit and tell us how long that orbit will take. Your three inputs should be: The major axis radius, major. The minor axis radius, minor. The planet's orbital velocity, velo, in meters per second Your outputs should be the length of one year on that planet, in days, using two approximations for the perimeter of an ellipse: A circular approximation, circ Year. Using Ramanujan's approximation, ramYear. [circTime, ramTime] This means that when you call your function, it should have the form: orbit (major, minor, velo); The circular approximation is: a²+b² perimeter 2 Ramanujan's approximation is: perimeter [3(a+b)=√(3a + b)(a+3b)] Note that those equations give you perimeters. To calculate the time it takes to travel that distance, you have to divide a perimeter by a velocity. Then remember to convert the time to the correct units (days). To test your code, use these inputs: Input Earth Data a (km) 149600000 b (km) v (km/s) 149580000 29.78 You should find: Output T1 T2 Standard Soln. 3.652952252479330e+02 3.652952248398216e+02 Note that earth's orbit is indeed very close to a circle!

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