Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 13 Oct 2017 My Price 5.00

distance of closest approach

 

A new asteroid is discovered in a circular orbit or radius 41/3 AU about the Sun.4 Its period of revolution is precisely 2 years. Assume that at t =0 it is at its distance of closest approach to the Earth.

(a) Find its coordinates [x(t), y(t)] in a frame of reference fixed to Earth but whose axes remain fixed in orientation relative to the Sun. Assume that the x-axis points toward the asteroid at t =0.

(b) Calculate the velocity of the asteroid, relative to Earth, at it 0.

(c) Find the x- and y-components of the acceleration of the asteroid in this frame of reference. Integrate them twice to show that the resulting positions as a function of time agree with part (a).

(d) Plot the trajectory of the asteroid as seen from the rotating frame of reference attached to Earth for its 2-year orbital period. (Hint: Use Mathematica's ParametricPlot graphing tool.)

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Maurice Tutor
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Status NEW Posted 13 Oct 2017 03:10 PM My Price 5.00

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