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Mean Motion Resonances, Gas Drag, and Supersonic Planetesimals in the Solar Nebula
Springer Science and Business Media LLC - Tập 82 - Trang 225-242 - 2002
Francesco Marzari, Stuart Weidenschilling
We examine the orbital evolution of planetesimals under the influence of Jupiter's perturbations and nebular gas drag, under the assumption that gas persisted in the asteroid region for some time after Jupiter attained its final mass. Two distinct mechanisms, associated with the 2 : 1 and 3 : 2 mean motion resonances, can excite eccentricities to high values, despite the damping effect of drag. If...... hiện toàn bộ
Specialized celestial mechanics systems for symbolic manipulation
Springer Science and Business Media LLC - - 1988
V. A. Brumberg, S. V. Tarasevich, N. N. Vasiliev
A more general system for Poisson Series manipulation
Springer Science and Business Media LLC - Tập 7 - Trang 107-121 - 1973
J. R. Cherniack
We describe the design of a working Poisson Series Processor that is more general than others in use today. We try to show that the price of generality is worth paying in active research areas in celestial mechanics.
Generalized Hill's problem: Some cases of complete integrability
Springer Science and Business Media LLC - Tập 51 - Trang 363-377 - 1991
B. Chauvineau
In this paper, we are investigating cases of integrability in the planar Hill's problem. The external potential U extis supposed to be time independent in a given uniformly rotating frame. Cases of integrability of the relative motion of two interacting particles in the vicinity of an equilibrium solution of U extare found. In all these cases, the form of the second integral is explicitly given, t...... hiện toàn bộ
Tesseral resonance effects on satellite orbits
Springer Science and Business Media LLC - Tập 1 Số 2 - Trang 167-189 - 1969
G. S. Gedeon
Main features of dynamical escape from three-dimensional triple systems
Springer Science and Business Media LLC - Tập 59 - Trang 327-343 - 1994
J. P. Anosova, V. V. Orlov
The dynamical evolution of triple systems with equal and unequal-mass components and different initial velocities is studied. It is shown that, in general, the statistical results for the planar and three-dimensional triple systems do not differ significantly. Most (about 85%) of the systems disrupt; the escape of one component occurs after a triple approach of the components. In a system with une...... hiện toàn bộ
The gravity-perturbed Lambert problem: A KS variation of parameters approach
Springer Science and Business Media LLC - Tập 24 - Trang 3-21 - 1981
R. C. Engels, J. L. Junkins
A new formulation is presented for the perturbed Lambert problem. The formulation employs the variation-of-parameters method in the KS transformed state space to determine perturbations of a Keplerian Lambert solution. The approach is universal (in that its validity is not restricted to a particular energy domain). For the case of the second zonal harmonic (oblateness) perturbation, first order pe...... hiện toàn bộ
Quasi-critical orbits for artificial lunar satellites
Springer Science and Business Media LLC - Tập 104 - Trang 227-239 - 2009
S. Tzirti, K. Tsiganis, H. Varvoglis
We study the problem of critical inclination orbits for artificial lunar satellites, when in the lunar potential we include, besides the Keplerian term, the J 2 and C 22 terms and lunar rotation. We show that, at the fixed points of the 1-D averaged Hamiltonian, the inclination and the argument of pericenter do not remain both constant at the same ti...... hiện toàn bộ
Abstracts of forthcoming papers
Springer Science and Business Media LLC - Tập 13 - Trang 407-409 - 1976
Secular perturbation theory and computation of asteroid proper elements
Springer Science and Business Media LLC - Tập 49 - Trang 347-411 - 1990
Andrea Milani, Zoran Knežević
A new theory for the calculation of proper elements, taking into account terms of degree four in the eccentricities and inclinations, and also terms of order two in the mass of Jupiter, has been derived and programmed in a self contained code. It has many advantages with respect to the previous ones. Being fully analytical, it defines an explicit algorithm applicable to any chosen set of orbits. U...... hiện toàn bộ
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