Suppose the earth is a perfect sphere of radius a. You set o
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Suppose the earth is a perfect sphere of radius a. You set out from the point on the equator whose spherical coordinates
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Suppose the earth is a perfect sphere of radius a. You set out from the point on the equator whose spherical coordinates are .R; ; / D .a; =2; 0/ and travel on the surface of the earth at constant speed v, always moving toward the northeast (45? east of north). (a) Will you ever get to the north pole? If so, how long will it take to get there? (b) Find the functions .t / and .t / that are the angular spherical coordinates of your position at time t>0. (c) How many times does your path cross the meridian D 0?
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