飛躍北極數(shù)學(xué)模型(英文板)(完整版)
【正文】 al aircraft flying in the Earth39。s more, the greater the latitude difference between two points on the arc length of the pressed the greater the points on the same latitude, little change in the pressed arc length.The conditions given by the subject shows: the latitude of the difference between adjacent points of are , the difference of latitude between Beijing and Detroit is ,and it39。 z(i)=(R+h)*sin(fai(i))。S=sum(L)T=S/980dT=TTT。%cross productB(j)=(sqrt(x(j)^2+y(j)^2+z(j)^2))*(sqrt(x(j+1)^2+y(j+1)^2+z(j+1)^2))。Here es another situation:when assuming the Earth is spherical,we have calculated the length of the route,and put this result multiplied by ,so we can get the routes for the long ellipsoid. Here is the results of this approach:Segment Flight :the total length of the route, the total flight time , the route lengthfrom Beijing to Detroit is, its flight time is ,so we can see ,the shorten of the distance is ,and the shorten of the time is. The earth as a rotating ellipsoidAs we know, the earth is a rotating ellipsoid, of which the equator radius is 6378 km and the meridian radius is 6357 km.Some basic concept： Longitude of geodetic:figure1, Dihedral angle L constitute by meridian plane NPS and NGS. Latitude of geodetic:figure1,angle B constitute by normal PN and equator plane. Latitude of naturalization ：Ypoint p on the line upward, and to a large radius arc intersect at ,the angle of line and Xaxis. Geodetic line:the shortest curve between two points on the ellipsoid plane.Generally,using the latitude of naturalization to calculate the length of Geodetic line between the two known points.Figure(1)Figure(2)Figure 2，the equation of meridian oval at P： （1）Derivation from the above equation：
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