Skip to main content
SpringerLink
Log in

The effect of solar pressure on the motion and stability of interconnected satellites in orbit

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The paper deals with the effect of solar pressure on the motion and stability of two satellites connected by an inextensible string in a central gravitational field of force. A system of nonlinear, nonhomogeneous, and non-autonomous equations under the rotating frame of reference in Nechvíle's coordinate system have been obtained. The general solution of the above system of equations is beyond our reach. The particular solutions have been obtained.

The particular solution in which the system lies, wholly along the radius vector joining the attracting centre and the centre of mass of the system under the central attracting force along was found to be stable (Singh, 1973). Naturally we got interested in examining the effect of solar radiation pressure on the stability of this particular solution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Beletsky, V. V.: 1969,Kosmicheskya Issledovania 7 (No. 6), 827 (in Russian).

    Google Scholar 

  • Beletsky, V. V. and Novikova, E. T.: 1969,Kosmicheskiya Issledovania 7 (No. 6), 827 (in Russian).

    Google Scholar 

  • Bogolyubov, N. N. and Krylov, N. M.: 1962,Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach science Publ., New York.

    Google Scholar 

  • Lyapunov, A. M.: 1959,Sochineniya Sobrania Sachineviya, Vol. 2, USSR Acad. Sci., Moscow (in Russian).

    Google Scholar 

  • Lyapunov, A. M.: 1959,Sochineniya Sobrania Sachineviya, Vol. 2, USSR Acad. Sci., Moscow (in Russian).

    Google Scholar 

  • Nechvíle, V.: 1926,Compt. Rend. Acad. Paris 182, 310.

    Google Scholar 

  • Robertson, H. P.: 1937,Monthly Notices Roy. Astron. Soc. 97, 423.

    Google Scholar 

  • Singh, R. B.: 1973,Astronaut. Acta 18, 301.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Division of Statistics and Mathematics, Faculty of Basic Science and Humanities, Rajendra Agricultural University, Pusa, Samastipur, Bihar, India

    Sachindra Kumar Sinha

  2. Department of Mathematics, University of Bihar, Muzaffarpur, Bihar, India

    R. B. Singh

Authors
  1. Sachindra Kumar Sinha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. B. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sinha, S.K., Singh, R.B. The effect of solar pressure on the motion and stability of interconnected satellites in orbit. Astrophys Space Sci 148, 103–118 (1988). https://doi.org/10.1007/BF00646466

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00646466

Keywords

Search

Navigation