COMMENT ON ''SATELLITE MOTIONS ABOUT AN OBLATE PLANET

AIAA Journal ◽  
1963 ◽  
Vol 1 (7) ◽  
pp. 1710-1711
Author(s):  
J. KEVORKIAN ◽  
J. F. MURPHY
Keyword(s):  
Oblate Planet

Evolution of collisional systems

1984 ◽  
Vol 75 ◽  
pp. 361-362
Author(s):  
André Brahic
Keyword(s):  
Gravitational Field ◽  
Dynamical Evolution ◽  
Oblate Planet

AbstractThe dynamical evolution of planetary discs in the gravitational field of an oblate planet and a satellite is numerically simulated.

Optimal low-thrust transfer between neighbouring quasi-circular orbits around an oblate planet

1989 ◽  
Vol 19 (12) ◽  
pp. 933-938 ◽  
Author(s):  
Sandro da Silva Fernandes
Keyword(s):  
Low Thrust ◽  
Circular Orbits ◽  
Oblate Planet

Motion of a Satellite of a Very Oblate Planet

1968 ◽  
Vol 73 ◽  
pp. 1031 ◽  
Author(s):  
J. M. A. Danby
Keyword(s):  
Oblate Planet

Classical analytical solution for Rydberg states of muonic–electronic helium and helium-like ions

2020 ◽  
Vol 98 (9) ◽  
pp. 857-861
Author(s):  
Eugene Oks
Keyword(s):  
Potential Energy ◽  
Rydberg States ◽  
Orbital Plane ◽  
Rydberg Atom ◽  
Current Approach ◽  
Spectral Lines ◽  
Oblate Planet ◽  
Linearly Polarized ◽  
Rydberg Electron ◽  
General Physical

In our previous papers (Can. J. Phys. 91 (2013) 715; 92 (2014) 1405), we studied Rydberg states of systems consisting of a nucleus of charge Z, a muon, and an electron, both the muon and electron being in circular states. The studies of such quasimolecules μZe were motivated by numerous applications of muonic atoms and molecules, where one of the electrons is substituted by the heavier lepton μ–. We demonstrated that the muonic motion can represent a rapid subsystem, while the electronic motion can represent a slow subsystem. We showed that the spectral lines emitted by the muon in such systems experience a red shift compared to the corresponding spectral lines that would have been emitted by the muon in a muonic hydrogenic atom/ion. In the present paper, we also consider Rydberg states of quasimolecules μZe with Z > 1 (i.e., Rydberg states of muonic–electronic helium and helium-like ions). However, our current approach has important distinctions from our previous papers. The systems considered here are truly stable and the electron orbit is generally elliptical (although the relatively small influence of the electron on the muon is neglected). In our previous papers, the influence of the electron on the muon was taken into account; however, in the rotating frame used in our previous papers, the motion of the muon was only metastable (not truly stable), and furthermore, only circular orbits of the electron were considered in our previous paper. In the present paper, we show that the effective potential energy of the Rydberg electron is mathematically equivalent to the potential energy of a satellite moving around an oblate planet. Based on this, we demonstrate that the unperturbed orbital plane of the Rydberg electron undergoes simultaneously two different precessions: precession within the orbital plane and precession of the orbital plane around the axis of the muonic circular orbit. We provide analytical expressions for the frequencies of both precessions. The shape of the elliptical orbit of the Rydberg electron is not affected by the perturbation, which is the manifestation of the (approximate) conservation of the square of the angular momentum of the Rydberg electron. This means that the above physical systems have a higher than geometrical symmetry (also known as a hidden symmetry) which is a counterintuitive result of general physical interest. We note that the above problem of the motion of the Rydberg electron in muonic–electronic helium atoms or helium-like ions is mathematically equivalent to another problem from atomic physics: a hydrogen Rydberg atom in a linearly-polarized electric field of a high-frequency laser radiation.

scholarly journals The restoration of the quadrupole light bending

2007 ◽  
Vol 3 (S248) ◽  
pp. 395-396 ◽  
Author(s):  
M. T. Crosta ◽  
D. Gardiol ◽  
M. G. Lattanzi ◽  
R. Morbidelli
Keyword(s):  
General Relativity ◽  
Data Base ◽  
Relativistic Effect ◽  
Error Model ◽  
The Real ◽  
Light Bending ◽  
Oblate Planet

AbstractThe ESA astrometric mission Gaia will be able to put to test General Relativity thanks to differential astrometric measurements. The differential experiment, GAREX, implemented in the form of repeated Eddington-like measurement, aims at measuring the quadrupole light bending due to an oblate planet by comparing the evolution of relative distances in stellar fields in the vicinity of it. Simulations which utilize (i) selected fields extracted from the GSCII data base, (ii) a realistic error model as function of the star's magnitude and distance from Jupiter's edge, show the real best scenarios and how to improve the Gaia ability to detect this relativistic effect.

scholarly journals Perturbations of a Hyperbolic Orbit by an Oblate Planet

ARS Journal ◽  
1962 ◽  
Vol 32 (5) ◽  
pp. 714-717 ◽  
Author(s):  
CARL G. SAUER
Keyword(s):  
Hyperbolic Orbit ◽  
Oblate Planet

Test Particle Motion around an Oblate Planet

Icarus ◽  
1994 ◽  
Vol 107 (1) ◽  
pp. 129-141 ◽  
Author(s):  
Nicole Borderies-Rappaport ◽  
Pierre-Yves Longaretti
Keyword(s):  
Test Particle ◽  
Particle Motion ◽  
Oblate Planet

RISE AND SET TIME OF A SATELLITE ABOUT AN OBLATE PLANET

AIAA Journal ◽  
1963 ◽  
Vol 1 (10) ◽  
pp. 2306-2310 ◽  
Author(s):  
P. R. ESCOBAL
Keyword(s):  
Oblate Planet

Addendum to "Some remarks on the motion of a satellite of an oblate planet,"

1962 ◽  
Vol 67 ◽  
pp. 105 ◽  
Author(s):  
Richard B. Barrar
Keyword(s):  
Oblate Planet
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