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At its closest point, Venus is .719 AU from the Sun. At its farthest point, Venus is .728 AU from the Sun. Write an equation for the orbit of Venus. Assume the following: the center of the orbit is the origin, the Sun lies on the x-axis, and the radius of the Sun is .0043 AU.

 Nov 23, 2014

Best Answer 

 #1
avatar+130511 
+5

Assuming that the Sun is completely spherical and its exact center lies at (0,0)    ....and......

Depending upon the orientation of Venus's orbit ( I'll choose to have the apogee on the x axis)....we have

"a"  = .728 + .0043  = .7323

"b" =  .719 + .0043 =  .7233     so we have

x2 / (a)2 +  y2 / (b)2 = 1

x2 / (.7323)2 +  y2 / (.7233)2 = 1

x2 / .53626329 +  y2 / .52316289 = 1

 

 Nov 23, 2014
 #1
avatar+130511 
+5
Best Answer

Assuming that the Sun is completely spherical and its exact center lies at (0,0)    ....and......

Depending upon the orientation of Venus's orbit ( I'll choose to have the apogee on the x axis)....we have

"a"  = .728 + .0043  = .7323

"b" =  .719 + .0043 =  .7233     so we have

x2 / (a)2 +  y2 / (b)2 = 1

x2 / (.7323)2 +  y2 / (.7233)2 = 1

x2 / .53626329 +  y2 / .52316289 = 1

 

CPhill Nov 23, 2014

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