AbstractWe shall investigate the problem of the differential corrections of the orbital elements a , e 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 Δ ν A , Δ ν B at peri-apse A and apo-apse B, to induce correctional Δ a , Δ e 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 Δ a 1 , Δ a T , Δ e 1 , Δ e T and Δ ν A , Δ ν B the velocity increments at the points A and B , for the four cases of the Hohmann type trajectories . We notice that Δ a 1 and Δ e 1 are related to Δ ν A whilst Δ a T and Δ e T are combined with , Δ ν B . This occurs for the four Hohmann configurations. Referring to the bi-elliptic type of impulsive transfer we have: Δ ν A = f ( Δ a 1 ) ; Δ ν C = f ( Δ ν A ) = ψ ( Δ a 1 ) ; Δ ν B = f ( Δ ν A ) = ψ ( Δ a 1 ) , Δ a T = f ( a 1 , a 2 , e 1 , e 2 ) for all four feasible cases. Δ a T = f ( Δ ν A ) = ψ ( Δ a 1 ) for all four bi-elliptic cases. In addition for all feasible bi-elliptic cases we have Δ e 1 = f ( Δ ν A ) .


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    Titel :

    Velocity corrections in generalized coplanar coaxial Hohmann and bi-elliptic impulsive transfer orbits


    Beteiligte:

    Erschienen in:

    Acta Astronautica ; 58 , 5 ; 243-250


    Erscheinungsdatum :

    2005-09-27


    Format / Umfang :

    8 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch