scholarly journals Nonlinear librations of distant retrograde orbits: a perturbative approach—the Hill problem case

2018 ◽  
Vol 93 (4) ◽  
pp. 2019-2038 ◽  
Author(s):  
Martin Lara
Keyword(s):  
Perturbative Approach ◽  
Hill Problem ◽  
Problem Case ◽  
Distant Retrograde Orbits ◽  
The Hill

Periodic orbits of the Hill problem with radiation and oblateness

2012 ◽  
Vol 342 (1) ◽  
pp. 19-30 ◽  
Author(s):  
A. E. Perdiou ◽  
E. A. Perdios ◽  
V. S. Kalantonis
Keyword(s):  
Periodic Orbits ◽  
Hill Problem ◽  
The Hill

scholarly journals Hill Problem Analytical Theory to the Order Four: Application to the Computation of Frozen Orbits around Planetary Satellites

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Martin Lara ◽  
Jesús F. Palacián
Keyword(s):  
Fourth Order ◽  
Initial Conditions ◽  
Analytical Theory ◽  
Hill Problem ◽  
Frozen Orbits ◽  
Long Period ◽  
Lie Transforms ◽  
Planetary Satellites ◽  
The Hill ◽  
Order Four

Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation that connects the averaged and nonaveraged models. A fourth-order analytical theory is necessary for the accurate computation of quasi-periodic frozen orbits.

scholarly journals Orbit classification in the Hill problem: I. The classical case

2017 ◽  
Vol 89 (2) ◽  
pp. 901-923 ◽  
Author(s):  
Euaggelos E. Zotos
Keyword(s):  
Classical Case ◽  
Hill Problem ◽  
The Hill

THE HILL PROBLEM WITH OBLATE SECONDARY: NUMERICAL EXPLORATION

2006 ◽  
Vol 97 (1-2) ◽  
pp. 127-145 ◽  
Author(s):  
A.E. Perdiou ◽  
V.V. Markellos ◽  
C.N. Douskos
Keyword(s):  
Hill Problem ◽  
Numerical Exploration ◽  
Oblate Secondary ◽  
The Hill
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