M. W. Ovenden's research while affiliated with University of British Columbia - Vancouver and other places

Publications (17)

Article
If the velocity field around the sun is assumed to be sufficiently smooth so that it can be represented by a second order Taylor series, then the most probable value of the line of sight velocity, Vr, of an element at galactic longitude ℓ and distance projected onto the plane of the galactic disk r = d • cos(b), where d is the distance to the objec...
Chapter
The determination of R o by comparison of stellar radial velocities and radio tangent-point observations is shown to be unreliable because the radio and the optical observations sample different parts of the Galaxy. The most reliable method for determining R o seems still to be the direct analysis of the radial velocities of stars with known helioc...
Article
Analyses have been made of fictitious proper motions for velocity fields with, and without, spiral arm kinematics. Dispersions in velocity, distance and observational errors were included in some solutions, and a comparison was made between the mean, the median and the mode, as used for representative points. Spiral arms yield apparent values of t...
Article
The radial velocities of 1018 O and B stars, Cepheid variables, and open star clusters are analyzed to determine whether the Galaxy exhibits an expansion radially outward with speed proportional to distance from the galactic center. A global solution with all the relevant parameters solved for simultaneously is obtained, and a value for the project...
Article
Integrating backwards in time in the circular restricted three-body problem Galaxy-Sun-Comet, for both the real long-period comets and fictitious random sets of orbital elements, we have confirmed van Flandern’s conclusion that there is a statistically-significant clustering of the orbits of real long-period comets, in heliocentric direction, some...
Article
Recent world models have had such an impact that critical analysis of foundational issues seems merited. Current models apparently cannot qualify as being “scientific,” but this does not necessarily destroy their potential usefulness. Usefulness does depend, however, upon dealing with, in a more integral way than at present, psychological, social,...
Article
The radial velocities of more than 1000 O and B stars, Cepheids, and open clusters have been analyzed with a view to determining any systematic expansion of the Galaxy. Provided that adequate allowance is made for velocity dispersion, there is an indication of a K term (constant and independent of distance) equal to about -1 km/s, but no significan...
Article
The history of the Titius-Bode Law is summarized, and possible explanations for the law are examined. Numerical integrations confirm the intuition that any N-body point-mass planetary system spends most of its time in configurations where the planetary interactions are least. This result is formalized into the Principle of Least Interaction Action,...
Article
The possibility that the outer satellites of Jupiter were permanently captured is discussed. The various proposed capture mechanisms are examined briefly, and their shortcomings discussed. It is suggested that all the observed aspects of the outer satellites can be accounted for if the mass of Jupiter, at some time in the past, increased by about 1...
Article
Full-text available
The Principle of Least Interaction Action, which explains the observed preference in the Solar System for two-satellite resonant configurations, is shown to apply also to the Laplacean satellites of Jupiter and Uranus, in the sense that these triplet resonant structures lie close to configurations for which the time-mean of the action associated wi...
Article
The resonant structures, the regular spacing of major semi-axes and the distribution of orbital eccentricities found in the solar system are to be expected for any planetary (or satellite) system capable of evolution under point-mass gravitational forces. Whether the actual solar system, in its present state, is capable of such evolution is still a...
Article
Using first-order epicyclic theory, the phase mixing of initial conditions of a stellar sub-population in an otherwise axisymmetric, infinitesimally thin galaxy is examined. The parameters of the velocity distribution are found to oscillate about the equilibrium values and are gradually damped. Since the time for phase mixing is ~10/sup 9/ yr a...
Article
The paper demonstrates that it is possible to construct memory models where the information inserted is stored in disseminated form, using sequential coding, the changes in the units forming the models being determined by their geometrical connections and by the incoming stream of information. The models are shown to have large storage capacity and...
Article
Work (to be published elsewhere) leading to the formulation of The Principle of Least Interaction Action is summarized. The analysis of satellite orbits is here extended to systems with more than three satellites, and it is shown that the principle correctly predicts the major semi-axes of the five Uranian satellites and the five inner satellites o...
Article
EXACTLY two hundred years ago, Titius1 published a mnemonic for the mean distances of the planets from the Sun. His rule was where α i is the major semi-axis of the orbit of the ith planet from the Sun. Titius's law represents the distances of the then known planets with an accuracy of a few per cent, provided that (i) for Mercury, we take i= −∞ in...

Citations

... But, without any other mechanism, such a capture is not permanent and the object will eventually return to a solar orbit. Numerical studies confirm this, indicating that typically the capture intervals last from several to several hundred orbital periods about the planet (Byl andOvenden 1975, Heppenheimer andPorco 1977). However, a stable satellite is able to survive for more than 1000 orbits around the planet without escaping from the planet's sphere of influence (Huang andInnanen 1983, Brunini 1996). ...
... Although the Titius-Bode (TB) law has now been known for over 200 years (see Nieto 1972, for a historical account), its physical basis remains largely unclear. While some argue that it is entirely coincidental, others attribute it to the physical conditions in the initial proto-planetary disk (Graner & Dubrulle 1994;Hayes & Tremaine 1998;Isaacman & Sagan 1977) or to a dynamical relaxation process (Dermott 1968(Dermott , 1969Hills 1970;Neslušan 2004;Ovenden 1975). The TB "law" is not really a law in the physical sense, but rather a numerical relation. ...
... First Yuan (1969) and then Burton (1971), Crézé & Mennessier (1973), Byl & Ovenden (1978), Mishurov, Pavlovskaya & Suchkov (1979), Grivnev (1981), Mishurov et al. (1997, Siebert et al. (2012), and others (e.g. Fernández, Figueras & Torra 2001) have analysed the velocities of H I gas, stars, H II regions and open clusters to find evidence of streaming motions of matter in our part of the Galactic plane induced by the perturbing gravitational field of the waves by using a 2D approach. ...
... Capture dynamics is a classic but attractive problem in both celestial mechanics and astrodynamics. Many scholars have focused on this topic, and several capture concepts have been introduced from different points of view, such as ballistic capture (Belbruno 1987(Belbruno , 2004García & Gómez 2007), temporary capture (Brunini 1996;Vieira Neto & Winter 2001;Fedorets et al. 2017), chaos-assisted capture (Astakhov et al. 2003;Astakhov & Farrelly 2004;Lee et al. 2007) and resonance capture (Koon et al. 2001;Namouni & Morais 2014). These analyses have enriched our understanding of the natural capture of asteroids, comets and irregular satellites and have shed some light on the formation of the solar system; the results of these investigations further allow us to optimally reduce the amount of propellant required for interplanetary missions. ...
... This seminal study spurred many other studies in which different results were obtained mainly due to either the adopted multidimensional fitting procedure or the large number of involved parameters or the different data sets in usage and their local/non-local nature in the configuration space. Local models of the velocity space have been considered with asymptotic expansions on different small parameters (e.g., Nelson & Matsuda 1977;Brosche & Schwan 1981;Byl & Ovenden 1981;Comeron & Torra 1991;Mishurov et al. 1997;Mishurov & Zenina 1999;Fernández et al. 2001;García-Sánchez et al. 2001). ...
... Some authors relate the actual distance distribution of secondaries to initial orbital positions of proto-secondaries resulting from one of the other dynamical process during, or at the end, of the formation of the proto-planetary or proto-satellite nebulae, causing the formation of rings of gas and matter in the nebulae from which proto-planets or proto-satellites could have eventually evolved. These dynamical processes in thin proto-nebulae discs could have been caused by either self-gravitational instability (Ruediger and Tschaepe 1988;Rica 1995); or the principle of least action interaction (Ovenden 1972;Patton 1988); or disc scale-invariance Dubrulle and Graner 1994); or hydrodynamical instabilities (Nowotny 1979;Hu and Chen 1987;Pletser 1986Pletser , 1990; or disturbances in the plasma structure (Wells 1989a(Wells , 1989b(Wells , 1990(Wells , 1992(Wells , 2013; or macroscopic quantization due to finite gravitational propagation speed (Gine 2007). Another dynamical process involves orbital resonances in secondary system formation, starting with a large proto-secondary (e.g. ...
... The cyclic activity of the Sun with periods of eleven and twenty-two years does also spawn related activity in biological systems, leading to variations in intensity and temperature in world oceans and further to migration and reproduction of fish, and algae growth and propagation. In an attempt to explain this tendency of synchronization between celestial bodies, a heuristic principle of minimum interaction was according to Blekhman (1988) suggested in Ovenden et al. (1973), stating that the motion of bodies occur such that the forcing function along the orbital trajectories is minimized. This explanation lends itself to the view that synchronized systems are characterized by some degree of optimality, and as such is a justification for the pursuit of synchronization in science and technology. ...