Aanalytical Solution for Motion Around Radiated Varying Mass Body

  • Marwa Abdullah Bin Humaidan King Abdul-Aziz University
  • M. I. El-Saftawy King Abdul-Aziz University
  • H. M. Asiri King Abdul-Aziz University
Keywords: Varying Mass, Perturbations Techniques

Abstract

In this work we will add the radiation pressure effect of varying mass body to the model of varying mass Hamiltonian function, including Periastron effect. The problem was formulated in terms of Delaunay variables. The solution of the problem was constructed based on Delava – Hansilmair perturbation techniques. Finally we find the first order solution for the problem as time series by calculating the desired order for the D operator and variables.

Author Biographies

Marwa Abdullah Bin Humaidan, King Abdul-Aziz University

King Abdul-Aziz University, Faculty of Science, Department of Astronomy and Space, Jeddah, K.S.A

M. I. El-Saftawy, King Abdul-Aziz University

King Abdul-Aziz University, Faculty of Science, Department of Astronomy and Space, Jeddah, K.S.A

H. M. Asiri, King Abdul-Aziz University

King Abdul-Aziz University, Faculty of Science, Department of Astronomy and Space, Jeddah, K.S.A

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Published
2019-04-30
How to Cite
Bin Humaidan, M., El-Saftawy, M., & Asiri, H. (2019). Aanalytical Solution for Motion Around Radiated Varying Mass Body. JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8407-8419. https://doi.org/10.24297/jam.v16i0.8228
Section
Articles