- published: 13 Jun 2013
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The orbital eccentricity of an astronomical object is a parameter that determines the amount by which its orbit around another body deviates from a perfect circle. A value of 0 is a circular orbit, values between 0 and 1 form an elliptical orbit, 1 is a parabolic escape orbit, and greater than 1 is a hyperbola. The term derives its name from the parameters of conic sections, as every Kepler orbit is a conic section. It is normally used for the isolated two-body problem, but extensions exist for objects following a rosette orbit through the galaxy.
In a two-body problem with inverse-square-law force, every orbit is a Kepler orbit. The eccentricity of this Kepler orbit is a non-negative number that defines its shape.
The eccentricity may take the following values:
The eccentricity is given by
where E is the total orbital energy, is the angular momentum, is the reduced mass, and the coefficient of the inverse-square law central force such as gravity or electrostatics in classical physics:
http://www.teachastronomy.com/ Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of zero. In the solar system most of the planets have small eccentricity and are close to circular. Eccentricity of the Earth's orbit is 0.017, one and a half percent. The only two planets where the orbital eccentricity is above ten percent are Pluto, with an eccentricity of 0.25 and Mercury with an eccentricity of 0.21. These large numbers probably indicate interactions during the history of the solar system with large bodies or perhaps in the case of Pluto capture from a distant region of space.
This clip shows the motion of bodies on trajectories around Earth with same perigee radius but different eccentricities. Notice the difference between periods of orbits due to changes in their semi-major axis.
The Earth's precession of its orbit eccentricity (e) and perihelion longitude (omega) over the last million years, a result of the planets' gravitational pulls on each other. The center + is for the invariable plane. It helps produce the "Milankovitch cycles" of the Earth's sunlight inputs, which are involved in the comings and goings of the Ice-Age continental glaciers. The center + is for a circular orbit. Referred to present (J2000) equinox and ecliptic. Calculated from the quasiperiodic-series approximations in J. Laskar, "Secular evolution of the Solar System over 10 million years", Astronomy and Astrophysics, 198, 341-362 (1988). http://adsabs.harvard.edu/abs/1988A&A;...198..341L
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This is the first video of our series "Keplerian Elements". The video describes the Orbital Eccentricity and the Semi Major axis Link to the next video: https://youtu.be/8dbLs9Gfrts Link to the "Kapelerian Elements" series' playlist: https://www.youtube.com/playlist?list=PLgvSYEiNhGwvkLqoot8GYLa1cujCYhy8d
Artifexian on how to put habitable, earth-like planets into orbit. Topics discussed: Semi-major axis, Habitable Zones aka Goldilocks Zone, Eccentricity, Number of Planets vs Average Eccentricity, Apses (Periapsis and Apoapsis), Orbital Period, i.e., How Long Is a Year, Orbital Velocity, Inclination, Retrograde Orbits, HAT-P-7b, Longtitude of the Ascending Node and Argument of Periapsis. Enjoy! ————— DISCUSS THIS EPISODE ON REDDIT: https://goo.gl/Qrd9T3 ————— ARTIFEXIAN ON THE INTERWEB: Youtube: https://www.youtube.com/artifexian Facebook: https://www.facebook.com/artifexian Twitter: https:// www.twitter.com/artifexian Podcast: http://www.artifexian.com/ Reddit: https://www.reddit.com/r/artifexian/ ————— EQUATIONS: Eccentricity Indicator: 0.584*N^(-1.2) Periapsis: a(1-e) Apoapsis: ...
Hello and welcome to What Da Math. In this video I will be using Kerbal Space Program Demo that I've used in my class to show you how to get to the Mun, land on the Mun and come back to Kerbin using the theory of ellipses, eccentricity and analytic geometry. Thank you and please subscribe! Join me on Twitter: http://twitter.com/WhatDaMath
Viewing Solar System Orbital Architecture through an Extrasolar Lens - Konstantin Batygin - SETI Talks The statistics of extrasolar planetary systems indicate that the default mode of planetary formation generates planets with orbital periods shorter than 100 days, and masses substantially exceeding that of the Earth. When viewed in this context, the Solar System, which contains no planets interior to Mercury’s 88-day orbit, is unusual. Extra-solar planetary detection surveys also suggest that planets with masses and periods broadly similar to Jupiter’s are somewhat uncommon, with occurrence fraction of less than approximately 10%. In this talk, Dr. Batygin will present calculations which show that a popular formation scenario for Jupiter and Saturn, in which Jupiter migrates inward fr...
National Aeronautics and Space Administration Space Flight: Application of Orbital Mechanics AVA18245VNB1 - 1994 This video details planetary motion or orbital mechanics. It explains Kepler's and Newton's Laws plus terminology including perigee, apogee, eccentricity, orbital inclination, launch window, etc.
more at http://scitech.quickfound.net/astro/space_news.html "This video details planetary motion or orbital mechanics. It explains Kepler's and Newton's Laws plus terminology including perigee, apogee, eccentricity, orbital inclination, launch window, etc." Public domain film from the US National Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and mild video noise reduction applied. The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original). Reupload of a previously uploaded film, in one piece instead of multiple parts, and with improved sound. for all the math, see The Orbital Mechanics of Flight Mechanics, 1973 h...
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Explanation of Eccentricity and Inclination of an orbit, what the semi-major axis is, aphelion, perihelion, and the ascending and descending nodes of the planets. A description of the orbital characteristics of main solar system objects: main belt asteroids, centaurs, Kuiper Belt objects, Scattered Disk Objects, near Earth asteroids, and comets.
KASA begins manning Minmus Station, but before it does, it has decided to fine-tune its orbital parameters. The plan is to correct the station's inclination and orbital eccentricity to be at the optimal values for manned excursions on the surface. Then, the delivery of the station's regular crew and orbital hardware can begin. But with so much going on, will everything occur on schedule?
Speaker: Tony Dobrovolskis, NASA Ames/SETI Institute Exoplanets discovered to date show a wide range of orbital eccentricities; the angles between their spin equators and orbital planes are still quite unknown, but these "obliquities'' may range widely as well. Both eccentricity and obliquity can have profound effects on a planet's seasons, as well as on its cycle of night and day. Remarkable patterns of insolation occur on synchronously-rotating planets, and on those in other spin-orbit states, with implications for their climates, detectability, and habitability.
Eccentric Orbit: An Intergalactic Tragedy (a demo recording of a story set to music) 1. Departure I'm going on a vacation. There must be greater things to see out there. I don't know what I'm looking for, but I'm sure I'll find it... out there. It's out there. The rocket leaves the station! 2. Pipes Planet For thousands of years a species of crafty monkeys have been weaving an intricate web of pipes. They walk around the planet leaving behind this trail of pipes and no matter how many times they go around, there is always unpiped land ahead of them. For thousands of years a species of crafty monkeys have been rending a convoluted web of pipes. They walk around the planet tearing apart this jungle of pipes and no matter how many times they go around, there is always piped land ahead ...
This video details planetary motion or orbital mechanics. It explains Kepler's and Newton's Laws plus terminology including perigee, apogee, eccentricity, orbital inclination, launch window, etc. National Aeronautics and Space Administration Space Flight: Application of Orbital Mechanics AVA18245VNB1 - 1994