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Topic: Semi-axis


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In the News (Sat 30 Aug 08)

  
 Semi-major axis - Wikipedia, the free encyclopedia
The semi-major axis is one half of the major axis, and thus runs from the centre, through a focus, and to the edge of the ellipse.
The Earth-Moon characteristic distance, the semi-major axis of the geocentric lunar orbit, is 384,400 km.
The semi-major axis of a hyperbola is one half of the distance between the two branches; if this is a in the x-direction the equation is:
en.wikipedia.org /wiki/Semi-major_axis   (854 words)

  
 Semi-minor axis - Wikipedia, the free encyclopedia
The semi-minor axis of an ellipse is one half of the minor axis, running from the center, halfway between and perpendicular to the line running between the foci, and to the edge of the ellipse.
It is related to the semi-major axis a through the eccentricity e and the semi-latus rectum l, as follows:
In geometry, the semi-minor axis (also semiminor axis) applies to ellipses and hyperbolas.
en.wikipedia.org /wiki/Semi-minor_axis   (220 words)

  
 GLOSSARY.DOC - Semi-Major Axis
If the orbit is a circle, the semi-major axis is the radius of the circle.
These points (the foci) are not centered in the ellipse, so the semi-major axis does not directly describe the altitude at perigee.
If it is an ellipse, the major axis is the longest diameter, while the minor axis is the shortest.
www.sat-net.com /winorbit/help/kepsemimajoraxis.html   (220 words)

  
 History and Philosophy of Western Astronomy
The skinniness an ellipse is specified by the semi-minor axis.
Semi-major axis---one half of the major axis and equal to the distance from the center of the ellipse to one end of the ellipse.
The eccentricity (e) of an ellipse is a number that quantifies how elongated the ellipse is. It equals 1 - (perihelion)/(semi-major axis).
www.astronomynotes.com /history/s7.htm   (1569 words)

  
 A Kuiper Belt Glossary
The semi-major axis is commonly thought of as the average distance between an object and the body it is in orbit about.
One half of the minor axis of an elliptical orbit.
A minor body whose heliocentric orbit is between Jupiter and Neptune and typically crosses the orbits of one of the other outer giant planets (Saturn, Uranus, Neptune).
www.boulder.swri.edu /ekonews/glossary.html   (1569 words)

  
 Ellipse New Version
Actually, you only need know 1/2 of each value, these are known as the Semi Major and Minor Axises.
Driving nails at each focus point and one at the top of the minor axis, you then stretch a string around all three nails, one other option would be to use picture hanging wire because it has less give then string, pull it as tight as you can and "tie" it together.
This will give you the major and minor axis's of the ellipse, their in blue and black.
www.josephfusco.org /Articles/Ellipse/Ellipse.htm   (1569 words)

  
 semi-major axis
The semi-major axis is one of the orbital elements – a standard parameter used to describe an elliptical orbit.
The semimajor axis is also the average distance of an orbiting object from its primary.
, can be calculated from the semimajor axis, a, and the eccentricity, e, by the formula
www.daviddarling.info /encyclopedia/S/semimajor.html   (139 words)

  
 Astronomy 105 Laboratory Manual
where "P" is the sidereal period of the planet in years and "a" is the semi-major axis of the planet in astronomical units (AU.).
where m and M are the two masses, P is the period of the orbit, G is the universal gravitational constant, and a is the semi-major axis.
                        F = focus points         b = semi-minor axis              f = foci separation
www.physics.sfasu.edu /markworth/ast105/04KEPLER.htm   (714 words)

  
 Interactive Planetary Orbits - Kepler's Laws Calculations
The length of the semi-major axis of the orbit (a) is in AU.
The average distance an object is from the Sun is equal to the semi-major axis of its orbit.
If the orbital period is given in years and the semi-major axis of the orbit is given in AU, then the period squared is equal to the semi-major axis cubed.
www.bridgewater.edu /departments/physics/ISAW/KeplerCalc.html   (906 words)

  
 Lesson Plan on Ellipses
If P is located on the minor axis (the y-axis on the right diagram) then PF
In the following illustrations, the left diagram shows an ellipse with its major axis lying horizontal and its center at the origin.
An ellipse is a figure drawn around two points of reference called the foci ( foci is plural of focus) such that the distance from one focus to any point on the ellipse back to the other focus equals a constant measure.
near.jhuapl.edu /Education/lessonEllipses/lpellipses.html   (906 words)

  
 Elliptical Orbits
It can be shown that the average separation of a planet from the Sun as it goes around its elliptical orbit is equal to the length of the semi-major axis.
The length of a semi-major axis is often termed the size of the ellipse.
As an example of using Kepler's 3rd Law, let's calculate the "radius" of the orbit of Mars (that is, the length of the semi-major axis of the orbit) from the orbital period.
www.astro-tom.com /technical_data/elliptical_orbits.htm   (906 words)

  
 ISAW - Planet Orbit Exercise
minor axis of an ellipse (2b, where b = semi-minor axis) - distance from one end of an ellipse to its opposite end at the narrowest dimension of the ellipse.
Mark off the minor axis by drawing a perpendicular line, at this center point on the major axis, going from one edge of the orbit to the opposite edge.
Use a ruler to measure (in cm) the length of the major axis of the default orbit and then mark the center of this major axis with a dot.
www.bridgewater.edu /departments/physics/ISAW/PlanetOrbitEx.html   (906 words)

  
 Eccentricity
The length of the minor axis is 2 b, where b is referred to as the semi-minor axis.
The length of the major axis is 2 a, where a is referred to as the semi-major axis.
The two foci of the elliptical orbit are shown as dots symmetrically placed about the center of the ellipse, along the major axis.
www-astro.phast.umass.edu /courseware/java/planets/ecc.html   (906 words)

  
 History and Philosophy of Western Astronomy
The skinniness an ellipse is specified by the semi- minor axis.
Semi-major axis ---one half of the major axis and equal to the distance from the center of the ellipse to one end of the ellipse.
The eccentricity ( e) of an ellipse is a number that quantifies how elongated the ellipse is. It equals 1 - (perihelion)/(semi-major axis).
www.astronomynotes.com /history/s7.htm   (906 words)

  
 ellip.html
As with the axis ratio measurement, the ellipse parameters are well determined when the surface brightness is high (either the galaxy is bright, or the axis ratio is low) so that the 3-sigma semi-major axis radius is well beyond the affect of the large pixels (rsemi > 5 arcsec or so).
Fig 6a: Semi-major axis and Statistics for b/a = 0.1 to 0.5
Fig 3a: Semi-major axis and Statistics for b/a = 0.1 to 0.5
spider.ipac.caltech.edu /staff/jarrett/2mass/ellip/ellip.html   (1987 words)

  
 Isophote Fitting
To use the ellipse task, the user specifies values for the semi-major axis length (a0), the X and Y axis center (x0 and y0), the ellipticity (eps0), and the position angle of the semi-major axis (teta0).
File 2: Semi-major axis length, coordinates of the center and their errors, gradient of image and its error, number of valid data points used in the fit, number of flagged data points extracted from the image, number of iterations, and stop condition code.
File 1: Semi-major axis length, mean intensity of isophote and its rms, ellipticity and its error, position angle and its error, maximum among first and second harmonic amplitudes.
stsdas.stsci.edu /documents/SUG/UG_33.html   (2256 words)

  
 14.doc
The semi-major axis is one-half of the major axis, from one side of the ellipse to the center.
The semi-minor axis is one-half of the minor axis.
(An astronomical unit is the semi-major axis of the Earth's orbit and the average distance between the Earth and the Sun.) These are the units the lab manual used to write Kepler's third law.
www.csulb.edu /~gordon/astdocs/14.doc   (1382 words)

  
 Introductory Astronomy: Ellipses
Half of the major axis is called the semi-major axis, and the semi-major axis is also the average sun-planet distance.
The eccentricity e can be calculated by taking the center-to-focus distance and dividing it by the semi-major axis distance.
An ellipse is (sort of) an oval shape, with two interior points called foci (singular: focus), a long axis (the major axis), a short axis (the minor axis), and a center (which should under no circumstances be confused with a focus).
astro.wsu.edu /worthey/astro/html/lec-ellipse.html   (295 words)

  
 ISAW - Planet Orbit Exercise
Use the measured length of the major axis in cm, and divide it in half to obtain the length of the semi-major axis.
Set the semi-major axis to 1.2 AU and the scaling factors at the default value of "2" and then notice what happens to the orbit as the eccentricity is changed from 0 to 0.10 to 0.50 to 0.90.
Use a ruler to measure (in cm) the length of the major axis of the default orbit and then mark the center of this major axis with a dot.
www.bridgewater.edu /departments/physics/ISAW/PlanetOrbitEx.html   (1080 words)

  
 Orbital Description
Semi-major axis is one half the longest distance across the ellipse (or one half the distance between apogee and perigee).
Eccentricity is computed as the linear eccentricity (the distance from the center of the ellipse to the center of the Earth) divided by the semi major axis.
The Keplerian elements that describe the orbit's size and shape are the semi- major axis and the eccentricity.
www.mindspring.com /~n2wwd/html/body_orbital_description.html   (489 words)

  
 The radial profile
It is necessary to begin at an intermediate semi-major axis length, and then move inwards, as the parameter values obtained near the center are not reliable, due to the small number of pixels involved in their measurement, as well as the modification produced by the PSF.
Historically, an intensity profile was obtained by simply taking a cut along the major axis of the galaxy or along a few selected axes.
As mentioned previously, the major components of a galaxy are the spheroidal bulge and a thin disk.
www.astro.caltech.edu /~aam/science/thesis/total/node19.html   (1379 words)

  
 Mixing Model Components
The second region is an elliptical annulus whose inner boundary has semi-major axis 1 and semi-minor axes 0.5 and whose outer boundary has semi-major axis 2 and semi-minor axis 1.
These keywords contain the semi-major axis, semi-minor axis, and position angle (in degrees) for the outer boundary of the annulus.
That is the first region is in an ellipse of semi-major axis 1 and semi-minor axis 0.5.
heasarc.gsfc.nasa.gov /docs/software/lheasoft/xanadu/xspec/manual/node45.html   (1379 words)

  
 Semi-major axis - LEX-24
The semi-major axis of an ellipse is one half of the major axis running from the center, through a focus, and to the edge of the ellipse.
Note that for all ellipses with a given semi-major axis, the orbital period is the same, regardless of eccentricity.
The semi-major axis of a hyperbola is one half of the distance between the two branches; if this is in the x-direction the equation is:
www.lex-24.de /en/Top/Semimajor_Axis   (1379 words)

  
 When Did the asteroids Become Minor Planets?
Because they fit the mold of a minor planet better than that of a regular planet, even these largest asteroids are considered minor planets after more than 50 years of being accepted as planets like Jupiter, Saturn, and Mercury.
The recent controversy over whether Pluto should be given a minor planet number and possibly be demoted from the ranks of the major planets has made me wonder about the similar controversy that occurred 150 years ago.
Almost immediately after the term 'minor planet' was adopted a new determination of the diameters of the first three asteroid produced values only 10% of those previously adopted, and much smaller than today's accepted values.
aa.usno.navy.mil /hilton/AsteroidHistory/minorplanets.html   (1379 words)

  
 Science 122 Program 11 KeplerÂ’s Laws
On the other hand, if the focus is the same length as the semimajor axis, then the eccentricity is one and the figure is a straight line segment equal to the semimajor axis and the focus, and the semiminor axis is zero.
The semi minor axis is one half the width of the ellipse, or the distance from the center to the closest point on the ellipse.
If we call the semimajor axis a, the semiminor axis b, and the focus c, then the three numbers comprise a Pythagorean triplet, for all ellipses.
www.hcc.hawaii.edu /hcconline/sci122/Programs/p11/p11.html   (1379 words)

  
 [3.0] Gravity & Orbital Mechanics [encyclopedia]
The longest distance from the edge of the ellipse to its center is called the "semi-major axis", while the shortest distance is unsurprisingly called the "semi-minor axis".
The Earth's spin axis is tilted at an angle of 23 degrees to the ecliptic, the plane of the planet's orbit around the Sun, while the Moon's orbit is in the plane of the ecliptic.
The tidal forces of the Moon and Sun tug the spin axis of the Earth back towards the horizontal, but since the Earth is spinning this causes precession instead, with a period of about 26,000 years.
kosmoi.com /Science/Physics/Mechanics/tpecp3.shtml   (1379 words)

  
 page17/htm
The foci lie on the z- axis at z = ± d where d is the semi-focal distance.
Prolate spheroidal coordinates are obtained by rotating the 2-dimensional system about the major axis of the ellipses, giving a family of elongated ellipsoids and an orthogonal family of hyperboloids of two sheets.
Spheroidal coordinates are obtained from a family of confocal ellipses and the associated family of confocal hyperbolas which are everywhere orthogonal to the ellipses.
www.lago.demon.co.uk /page17.htm   (1379 words)

  
 PHY 445/515: Astronomical Glossary
Similarly, the semi-minor axis is half the length of the short axis of an ellipse.
Semi-major axis : Half the length of the long asix of an ellipse (or of an elliptical orbit).
www.ess.sunysb.edu /fwalter/PHY515/glossary.html   (1379 words)

  
 total.html
For small radii, we adjust the axis ratio such that the minimum semi-minor axis is 3 arcsec.
An example of a dynamically adjusted axis ratio is given here.
The resultant axis ratio and position angle represent the galaxy shape;
spider.ipac.caltech.edu /staff/jarrett/2mass/repeats/total.html   (1379 words)

  
 GLOSSARY.DOC - Semi-Major Axis
The semi-major axis is half the major axis, in km or mi.
These points (the foci) are not centered in the ellipse, so the semi-major axis does not directly describe the altitude at perigee.
If the orbit is a circle, the semi-major axis is the radius of the circle.
www.sat-net.com /winorbit/help/kepsemimajoraxis.html   (106 words)

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