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- | image = Ecological Orbits cover.jpg '''''Ecological Orbits: How Planets Move and Populations Grow''''' is a book on [[population ecolo ...15 KB (2,183 words) - 15:23, 10 August 2024
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- ...ematics)|eccentricity]] {{nobr| {{math|''e'' : 0 ≤ ''e'' < 1}} )}} to open orbits (parabolas and hyperbolas, {{nobr|( {{math|''e'' ≥ 1}} ),}} with no singula ...orbits use the sinh and cosh relations. Parabolic orbits (marginal escape orbits) formulas are a special in-between case. ...5 KB (624 words) - 17:31, 9 November 2024
- # ''X'' has only a finite number of periodic orbits, and all of them are [[hyperbolic set|hyperbolic]] [[periodic orbit]]s. # The [[Limit set|limit sets]] of all orbits of X tends to a singular point or a periodic orbit. ...5 KB (693 words) - 08:17, 7 November 2023
- {{Short description|Lemma describing the behaviour of pseudo-orbits near a hyperbolic invariant set}} ...ef> This suggests that numerical solutions can be trusted to represent the orbits of the dynamical system. However, caution should be exercised as some shado ...4 KB (491 words) - 15:08, 20 March 2024
- ...ty map which transforms the orbits of the original dynamical system to the orbits of the perturbed system (cf [[structural stability]]). ...3 KB (364 words) - 14:44, 14 July 2023
- {{for|other measures of satellite orbits|Orbital period}} ...dal precession|nodes precess]] over time.<ref>{{cite book |title=Satellite Orbits: Models, Methods, and Applications|url=https://books.google.com/books?id=hA ...4 KB (543 words) - 23:21, 27 February 2023
- ...=Yang | last3=Hu | first3=Liu | title=Targeting of Kolmogorov–Arnold–Moser Orbits by the Bailout Embedding Method in Two Coupled Standard Maps | journal=Chin ...tic or [[limit set]], while maintaining the dynamics of a different set of orbits—the wanted set—as [[attractor]]s of the larger dynamical system. With a cho ...3 KB (447 words) - 01:54, 8 February 2024
- ...usual constructs for a [[Group action (mathematics)|group action]] such as orbits generalize to a group-scheme action. Let <math>\sigma</math> be a given gro ...drawback is that there is no canonical way to introduce the notion of "bad orbits"; the notion depends on a choice of [[linearization]]. See also: [[categori ...5 KB (779 words) - 16:58, 14 February 2020
- [[Category:Orbits]] ...692 bytes (99 words) - 00:00, 16 September 2024
- ...The map <math>\pi </math> is surjective, and its fibers are exactly the G-orbits in X. A geometric quotient is precisely a [[good quotient]] whose fibers are orbits of the group. ...2 KB (379 words) - 16:38, 3 April 2024
- ...0|title=Testing properties of the Galactic center black hole using stellar orbits |journal=Physical Review D |volume=81 |issue=6 |pages=062002 | doi=10.1103/ ...4 KB (612 words) - 08:42, 9 November 2024
- ...= \tfrac{m}{2}\right)</math>, which move in circular or elliptical Kepler orbits around their [[center of mass]]. The third body, which is substantially sma ...ve the [[Equations of motion|equation of motion]] in the case of circular orbits for the primary bodies, use that the total [[energy]] <math>\,E</math> is: ...4 KB (644 words) - 18:12, 8 December 2019
- ...article describes these functions and the corresponding solutions for the orbits. ...2 KB (344 words) - 08:07, 28 January 2021
- ...nity of massive planets, during which processes the approximating two-body orbits can have widely varying [[orbital eccentricity|eccentricities]], almost alw ...lar to [[Kepler's equation]] can be derived for [[parabolic and hyperbolic orbits]], it is more convenient to introduce a new independent variable to take th ...8 KB (1,126 words) - 01:11, 27 September 2024
- The fundamental domain of the reflection group has 1+23+284 orbits of vertices as follows: ...rtices correspond to the deep holes of the Leech lattice, and there are 23 orbits of these corresponding to the 23 [[Niemeier lattice]]s other than the Leech ...8 KB (1,132 words) - 07:14, 7 May 2024
- ...al elements|Kepler potential]] is one example. In generic potentials, some orbits respect only one or two integrals and the corresponding motion is chaotic. ...in either one or the other. [[Invariant torus|Invariant tori]] of regular orbits are such regions, but so are the more complex parts of phase space associat ...4 KB (587 words) - 07:18, 13 March 2024
- There are three types of radial trajectories (orbits).<ref>Thomson, William Tyrrell; ''Introduction to Space Dynamics'', Dover, ...dard orbits which are classified by their [[orbital eccentricity]], radial orbits are classified by their [[specific orbital energy]], the constant sum of th ...8 KB (1,312 words) - 23:44, 12 March 2024
- ...y labels and therefore the presence of two or more of such objects creates orbits whose size is less than <math>|G|</math>.) As mentioned, the nodes of the o ...to an orbit of size <math>|G|</math>, hence the generating function of the orbits is given by <math>g(z)^n/|G|.</math> ...5 KB (878 words) - 01:18, 14 January 2024
- ...10800|km/h}}, whereas in [[low Earth orbit]] it is {{convert|27000|km/h}}. Orbits can be achieved at any altitude, as there is no upper limit to velocity in ...ck Hole|black holes]] and [[neutron star]]s have innermost stable circular orbits outside of their surfaces. As the angular momentum of the central object in ...8 KB (1,266 words) - 15:24, 17 November 2024
- ==Stationary and synchronous orbits== [[Category:Orbits]] ...5 KB (771 words) - 05:10, 1 December 2024
- ...[[Inclined orbit|inclined]] and [[Sun-synchronous orbit|sun-synchronous]] orbits depend on launch altitude, inclination, and time.<ref>{{Cite journal |last= ...g on the Sun defines a beta angle as positive if the satellite in question orbits in a counterclockwise direction and negative if it revolves [[clockwise]].< ...8 KB (1,274 words) - 23:51, 23 October 2024