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### A First Order Solution for Frozen Orbit

Yang Weilian (Beijing Institute of Spacecraft System Engineering ,Beijing 100086)

• Published:2002-08-25

Abstract: Based on the first order solution of Brouwer's theory for artificial satellite orbit, formulas suitable for near circular orbit are derived. From the formation it is obvious that the frozen orbit is the exact circular one. The feature and the cause of the frozen orbit are easily explained. In addition, a very simple solution for the frozen orbit is also presented by using Hill variables.