AbstractWe shall investigate the problem of the differential corrections of the orbital elements of the final elliptic orbit, in order that we might obtain the required very precise one. This will be achieved by the application of differential motor thrust impulses , at peri-apse A and apo-apse B, to induce correctional , increments. We apply differential thrusts at peri-apse and apo-apse of the generalized Hohmann and bi-elliptic transfer impulsive systems of orbits. Our purpose is to find the differential corrections in major axes and eccentricities of the two considered transfer systems. Thus we can obtain a very precise final elliptic orbit, throughout differential velocity increments perpendicular to the coaxial major axes and tangential to peri-apse and apo-apse of the elliptical terminal orbits. We find out the four relationships between , , , and , the velocity increments at the points A and B , for the four cases of the Hohmann type trajectories . We notice that and are related to whilst and are combined with , . This occurs for the four Hohmann configurations. Referring to the bi-elliptic type of impulsive transfer we have: ; ; , for all four feasible cases. for all four bi-elliptic cases. In addition for all feasible bi-elliptic cases we have .
Velocity corrections in generalized coplanar coaxial Hohmann and bi-elliptic impulsive transfer orbits
Acta Astronautica ; 58 , 5 ; 243-250
2005-09-27
8 pages
Article (Journal)
Electronic Resource
English
Velocity corrections in generalised Hohmann and bi-elliptic transfer orbits
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