横向连续推力小偏心率人工冻结轨道设计

非临界倾角自然冻结轨道要求近地点幅角为90°, 偏心率在1× 10-3量级, 并且偏心率与轨道倾角和半长轴有特定的对应关系, 苛刻的要求极大地限制了轨道根数选择的多样性. 研究表明, 施加常幅值、方向半轨道周期切换的横向连续小推力可以形成任意轨道根数的小偏心率人工冻结轨道, 放宽自然冻结轨道对轨道根数的严苛限制. 维持小偏心率人工冻结轨道的横向连续推力a_T与半长轴的平方根成正比, 与偏心率大小成反比; 在临界倾角i_c附近, 推力a_T与倾角偏置量Δi近似呈正比, 且长期维持的燃料消耗较小. 此外, 在进行仿真计算时还需考虑拟平均轨道根数与瞬时轨道根数的转换. 

Small Eccentricity Artificial Frozen Orbit Design With Transverse Continuous Low-thrust

The non-critical inclination natural frozen orbit requires that the argument of perigee is 90 degrees, the eccentricity e has a magnitude of order 1×10-3 and the eccentricity has a corresponding relationship with inclination and semi-major axis, thus the variety of selection of the orbit parameters is greatly restricted by these rigorous requirements. This paper suggests that small eccentricity artificial frozen orbit be presented by applying transverse continuous low-thrust with constant amplitude and half orbit period switching direction, thus the rigorous requirements on orbit elements are relaxed. The transverse continuous thrust a_T used to maintain the small eccentricity artificial frozen orbit is proportion to the square root of semi-major axis and in converse proportion to eccentricity. Considering a_T near critical inclination, it is proportional to the displaced inclination Δi, and the fuel used to maintain the orbit is small. Moreover the transformational relation between qusai-mean orbit elements and instantaneous orbit elements should be considered during the simulation.