Commensurabilities of Satellites' Apsidal Precession Periods
نویسندگان
چکیده
منابع مشابه
An extension of Newton’s apsidal precession theorem
Newton’s apsidal precession theorem in Proposition 45 of Book I of the ‘Principia’ has great mathematical, physical, astronomical and historical interest. The lunar theory and the precession of the perihelion of the planet Mercury are but two examples of the applications of this theorem. We have examined the precession of orbits under varying force laws as measured by the apsidal angle θ (N, e)...
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By nodal regression and apsidal precession, the Earth flattering at satellite low Earth orbits (LEO) is manifested. Nodal regression refers to the shift of the orbit’s line of nodes over time as Earth revolves around the Sun. Nodal regression is orbit feature utilized for circular orbits to be Sun synchronized. A sun-synchronized orbit lies in a plane that maintains a fixed angle with respect t...
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One of the parameters fitted by Doppler radial velocity measurements of extrasolar planetary systems is ω, the argument of pericenter of a given planet’s orbit referenced to the plane of the sky. Curiously, the ω’s of the outer two planets orbiting Upsilon Andromedae are presently nearly identical: ∆ω ≡ ωD − ωC = 4. 8 ± 4. 8 (1σ). This observation is least surprising if planets C and D occupy o...
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A widely considered characteristic of extra-solar planetary systems has been a seeming tendency for major axes of adjacent orbits to librate in stable configurations. Based on a new catalog of extra-solar planets (Butler et al. 2006) and our numerical integrations, we find that such small amplitude oscillations are actually not common, but in fact quite rare; most pairs of planets’ major axes a...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1975
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/170.2.295