Periodic orbits around an oblate spheroid

1981 ◽  
Vol 23 (2) ◽  
pp. 145-158 ◽  
Author(s):  
I. Stellmacher
Keyword(s):  
Periodic Orbits ◽  
Oblate Spheroid

scholarly journals Analysis of Periodic Orbits with Smaller Primary As Oblate Spheroid

10.29007/1r5v ◽  
2018 ◽  
Author(s):  
Niraj Pathak ◽  
V. O. Thomas
Keyword(s):  
Periodic Orbits ◽  
Oblate Spheroid ◽  
Space Mission ◽  
Low Energy ◽  
Negligible Effect ◽  
Second Primary ◽  
Jacobi Constant ◽  
Earth Systems ◽  
Two Systems ◽  
Surface Section

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.

scholarly journals Periodic Orbits of the First Kind in the Restricted Three-Body Problem When the More Massive Primary is an Oblate Spheroid

1978 ◽  
Vol 41 ◽  
pp. 355-355
Author(s):  
R.K. Sharma
Keyword(s):  
Analytic Continuation ◽  
Periodic Orbits ◽  
Equatorial Plane ◽  
Body Problem ◽  
Oblate Spheroid ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Canonical Variables ◽  
Three Body

AbstractThe existence of periodic orbits of the first kind using Delaunay’s canonical variables is established through analytic continuation in the planar restricted three-body problem when the more massive primary is an oblate spheroid with its equatorial plane coincident with the plane of motion.

Adaptive Control of Transient Dynamics to Periodic Orbits

2014 ◽  
Vol 2 ◽  
pp. 82-85
Author(s):  
Hiroyasu Ando ◽  
Kazuyuki Aihara
Keyword(s):  
Adaptive Control ◽  
Periodic Orbits ◽  
Transient Dynamics
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