Answer to Question #127054 in Physics for Gift Emmanuel

Question

The acceleration of an object moving in the gravitational field of the Earth is
a=−GMErr3
where r is the position vector directed from the center of the Earth toward the object.Choosing the origin to be at the center of the Earth and assuming that the small objectis moving in the xy plane, the rectangular (Cartesian) components of its acceleration are
ax=−GMEx(x2+y2)3/2
ay=−GMEy(x2+y2)3/2
Using Python, model the motion of an object orbiting the earth. Assume that the initialposition of the object isx= 0,y= 2RE(Reis the radius of the earth). Give the object an initial velocity of 5000m/s in the x-direction. Use dt= 5s.
1. Make a plot of the trajectory for one orbit around the earth.
2. Determiner,vandaatt= 4000seconds.

G = gravitational constant 6.67*10^-11 Nm^2/kg^2
Me= mass of earth, 5.97*10^24 kg
Re = radius is earth, 6.37*10^6

Answer 1

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