The new position is r = 6867.3(xhat) + 398.8(yhat). The answer to the first problem would be theta = arctan(398.8/6867.3) = 0.058 degrees. But how do you know how much the line of nodes, which is the new position as show in the diagram, should have rotated for a true sun-synchronoous orbit? What is the formula? What are some reasons why there would be any discrepancy between the estimated angle and the actual angle?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The new position is r = 6867.3(xhat) + 398.8(yhat).

The answer to the first problem would be theta = arctan(398.8/6867.3) = 0.058 degrees.

But how do you know how much the line of nodes, which is the new position as show in the diagram, should have rotated for a true sun-synchronoous orbit? What is the formula?

What are some reasons why there would be any discrepancy between the estimated angle and the actual angle?

Ө
New position
(new x and y)
0 = arctan (y/x)
Original position
(original value is x only)
Give the angle by which the line of nodes has changed:
And given the amount of elapsed time between the start of the propagation and your date of query for
part a., how much should the line of nodes have rotated for a true sun-synchronous orbit?
List a couple of reasons why there is any discrepancy between the angles for a. and b.
Transcribed Image Text:Ө New position (new x and y) 0 = arctan (y/x) Original position (original value is x only) Give the angle by which the line of nodes has changed: And given the amount of elapsed time between the start of the propagation and your date of query for part a., how much should the line of nodes have rotated for a true sun-synchronous orbit? List a couple of reasons why there is any discrepancy between the angles for a. and b.
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