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Analysis of Periodic Orbits with Smaller Primary As Oblate Spheroid

13 pagesPublished: June 12, 2017

Abstract

We have studied closed periodic orbits with loops for two systems – Sun – Mars and Sun – Earth systems – using Poincare surface section (PSS) technique. Perturbation due to oblateness for the second primary (Mars or Earth) is taken in to consideration and obtained orbits with loops varying from one to five around both primaries. It is found that the oblateness coefficient A2 and Jacobi constant C has non- negligible effect on the position of the orbits. The model may be useful for designing space mission for low – energy trajectories.

Keyphrases: low energy trajectory design, oblateness, Periodic orbits, Poincare surface of section, Restricted three body problem

In: Rajkumar Buyya, Rajiv Ranjan, Sumantra Dutta Roy, Mehul Raval, Mukesh Zaveri, Hiren Patel, Amit Ganatra, Darshak G. Thakore, Trupti A. Desai, Zankhana H. Shah, Narendra M. Patel, Mukesh E. Shimpi, Rajiv B. Gandhi, Jagdish M. Rathod, Bhargav C. Goradiya, Mehfuza S. Holia and Dharita K. Patel (editors). ICRISET2017. International Conference on Research and Innovations in Science, Engineering and Technology. Selected Papers in Computing, vol 2, pages 38--50

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BibTeX entry
@inproceedings{ICRISET2017:Analysis_of_Periodic_Orbits,
  author    = {Niraj Pathak and V. O. Thomas},
  title     = {Analysis of Periodic Orbits with Smaller Primary As Oblate Spheroid},
  booktitle = {ICRISET2017. International Conference on Research and Innovations in Science, Engineering and Technology. Selected Papers in Computing},
  editor    = {Rajkumar Buyya and Rajiv Ranjan and Sumantra Dutta Roy and Mehul Raval and Mukesh Zaveri and Hiren Patel and Amit Ganatra and Darshak G. Thakore and Trupti A. Desai and Zankhana H. Shah and Narendra M. Patel and Mukesh E. Shimpi and Rajiv B. Gandhi and Jagdish M. Rathod and Bhargav C. Goradiya and Mehfuza S. Holia and Dharita K. Patel},
  series    = {Kalpa Publications in Computing},
  volume    = {2},
  pages     = {38--50},
  year      = {2017},
  publisher = {EasyChair},
  bibsource = {EasyChair, http://www.easychair.org},
  issn      = {2515-1762},
  url       = {https://easychair.org/publications/paper/dmKN},
  doi       = {10.29007/1r5v}}
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