Mathematics – Dynamical Systems
Scientific paper
2006-02-23
Mathematics
Dynamical Systems
12pages, LaTeX
Scientific paper
In this paper we have performed second order normalization in the generalised photogravitaional restricted three body problem with Poynting-Robertson drag. We have performed Birkhoff's normalization of the Hamiltonian. For this we have utilised Henrard's method and expanded the coordinates of the third body in Double d'Alembert series. We have found the values of first and second order components. The second order components are obtained as solutions of the two partial differential equations. We have employed the first condition of KAM theorem in solving these equations. The first and second order components are affected by radiation pressure, oblateness and P-R drag. Finaly we obtained the third order part $H_3$ of the Hamiltonian in $I_1^{1/2}I_2^{1/2}$ zero.
Ishwar Bhola
Kushvah Badam Singh
Sharma J. P.
No associations
LandOfFree
Second Order Normalization in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Second Order Normalization in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Second Order Normalization in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-711693