In this work, the problem of resonance caused by some gravitational potentials due to Mercury and a third body, namely the Sun, together with some non-gravitational perturbations, specifically coronal mass ejections and solar wind in addition to radiation pressure, are investigated. Some simplifying assumptions without loss of accuracy are employed. The considered force model is constructed. Then the Delaunay canonical set is introduced. The Hamiltonian of the problem is obtained then it is expressed in terms of the Deluanay canonical set. The Hamiltonian is re-ordered to adopt it to the perturbation technique used to solve the problem. The Lie transform method is surveyed. The Hamiltonian is doubly averaged. The resonance capture is investigated. Finally, some numerical simulations are illustrated and are analyzed. Many resonant inclinations are revealed.

1. INTRODUCTION
2. HIGHLIGHT ON MERCURY MISSIONS
    2.1 Mariner 10
    2.2 BepiColombo
    2.3 Messenger
3. PERTURBING FORCES MODELS
    3.1 Assumptions
    3.2 The Treated Gravitational Forces
    3.3 The Solar Radiation Pressure Effect
    3.4 The Coronal Mass Ejections and Solar Wind Effects
4. CANONICAL FORMULATION AND ORDERING
5. ASSESSMENT OF THE ORDERS OF MAGNITUDE
6. METHODOLOGICAL TECHNIQUE
7. RESONANCE CAPTURE
8. OUTCOME SIMULATIONS
    8.1 Resonance Analysis Versus the Argument of Periapsis
    8.2 Resonance analysis versus the eccentricity
    8.3 Resonance Analysis Versus the Longitude of theAscending Node
9. Conculsion
REFERENCES

• Elamira Hend Khattab(Department of Astronomy and Space Science, Faculty of Science, Cairo University)
• Fawzy Ahmed Abd El-Salam(Department of Astronomy and Space Science, Faculty of Science, Cairo University/Department of Mathematics, Faculty of Science, Taibah University)
• Walid A. Rahoma(Department of Astronomy and Space Science, Faculty of Science, Cairo University) Corresponding Author