Paterno ’s sons Scott and Jay each took to Twitter Saturday STATE COLLEGE - Joe Pa- terno’ s doctor s say the former Penn State coach’s condition has become“serious”after he experi- enced complications from lung cancer in recen t days. “His family will have no com- ment on the situation and asks that their privacy be respected duri ng this difficu lt time ,” he said. “His doctor s have now characterized his sta- tus as serious. The results show that the minimum relation perturbation conditions can reduce the J 2 effect significantly when the orbital element differences are small enough, and they can become rules for the design of satellite formation flying.Hea lth comp lica tion s,” fami ly spo kes manDan McG innsaidin a brief statement Saturday to The Associa ted Press. Finally, the minimum relation perturbation conditions are established in order to reduce the influence of the J 2 effect. The relationship of relative orbital elements and J 2 effect is obtained through simulations. In addition, when J 2 perturbation is concerned, we also find that the semi-major axes of the leading and following satellites should not be the same exactly in order to decrease the J 2 effect. They are distortion and drifting, respectively. Secondly, on the basis of the analysis of J 2 effect on relative orbital configurations, we find out that J 2 effect can induce two kinds of changes of relative orbital configurations. These shapes can be lines, ellipses or distorted closed curves. Firstly, under the condition of non-perturbation, we obtain many shapes of relative orbital configurations when the semi-major axes of satellites are equal. In this paper, the relative orbital configurations of satellites in formation flying with non-perturbation and J 2 perturbation are studied, and an orbital elements method is proposed to obtain the relative orbital configurations of satellites in formation.
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