Abstract The present paper deals with the restricted four-body problem (R4BP), when the third primary placed at the triangular libration point of the restricted three-body problem is an ellipsoid. The third primary m 3 is not influencing the motion of the dominating primaries m 1 and m 2. We have studied the motion of m 4, moving under the influence of the three primaries m i , i = 1, 2, 3, but the motion of the primaries is not being influenced by infinitesimal mass m 4. Further, we have developed the equations of motion of infinitesimal mass m 4 which involves elliptic integrals and shows the existence and locations of equilibrium points. We have also discussed the zero velocity curves(ZVCs) for various value of Jacobian constant.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    On the R4BP when Third Primary is an Ellipsoid


    Contributors:

    Published in:

    Publication date :

    2016-12-28


    Size :

    20 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    On the R4BP when Third Primary is an Ellipsoid

    Md Chand Asique | Online Contents | 2017


    On the R4BP when Third Primary is an Ellipsoid

    Asique, Md Chand / Prasad, Umakant / Hassan, M. R. et al. | Online Contents | 2016