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What is the eccentricity of an ellipse with a major axis of 54 cm and distance between the foci of 36.4 cm?
Wiki User
∙ 11y ago
Dont know the eccentricity , but the minor axis = 39.888 cm (approx)
Wiki User
∙ 11y ago
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How does the numerical value of e change the shape of an ellipse?
The eccentricity of an ellipse, e, is the ratio of the distance between the foci to the length of the semi-major axis. As e increases from 0 to 1, the ellipse changes from a circle (e = 0) to form a more flat shape until, at e = 1, it is effectively a straight line.
What is the name of the shape the earth makes when it is in the orbit around the sun?
ellipse An ellipse can be either a long cigar-type shape, or almost circular, depending on whether the eccentricity is large or small. The distance along the length is called the major axis, while the width is the minor axis. The planets' orbits have small eccentricity, and the eccentricity of the Earth's orbit is 1/60 which is very close to a circle but with the Sun off-centre. The distance is maximum and minimum at either end of the major axis, because the Sun is 2.5 million km off-centre, so the distance varies from 147.1 to 152.1 million km with an average of 149.6 million km. The major axis of the ellipse is 2 x 149.6 million kilometres, while the minor axis is 2 x 149.58 million km, which is only very slightly less, so the orbit is 99.99% circular.
How do you find the major axis in an ellipse?
The major axis is the line that joins the two foci (focuses) of the ellipse. If all you have is a picture of an ellipse and you don't know where the foci are, you can still find the major axis in a few seconds: It's the longest possible line that you can draw completely inside the ellipse, and it's the line straight across the ellipse between the two opposite "points of the egg".
What is the perimeter or circumference of an oval or ellipse?
It isn't possible to give a generalised formula for the circumference of an ellipse in terms of elementary functions. The circumference (or perimeter) of an oval is represented by an infinite series based on multiple aspects of the oval including: * Eccentricity * Implied length ("major radius") * Implied width ("minor radius")
What is the semi major axis of a circle of diameter 24 cm?
Well, when an ellipse has zero eccentricity and is called a circle, its major and minoraxes are both the same length. In fact, every axis through the center has the samelength, even the oblique ones, and every one of them is called a "diameter".So the semi-major axis of a circle is half of the diameter, typically referred to as the "radius".In your circle, that's 12 cm.
What is the eccentricity of an ellipse in which the distance between the foci is 2 centimeters and the length of the major axis is 5 centimeters?
The eccentricity of that ellipse is 0.4 .
What is the difference between a circle and an ellipse?
-- the eccentricity or -- the distance between the foci or -- the ratio of the major and minor axes
What is the distance from one of the foci of the ellipse from its center?
The length of the semi-major axis multiplied by the eccentricity.
What is the formula for eccentricity?
eccentricity = distance between foci ________________ length of major axis
What happens to the shape of an obit as eccentricity gets smaller?
As the eccentricity reaches zero the two foci merge together and the ellipse becomes a circle. If a is half the major axis of the ellipse, and e is the eccentricity, the distance between the foci is 2ae. For a planet the Sun occupies one focus and the other is vacant, so the Sun is a distance of ae from the centre of the ellipse. The minor axis is sqrt(1-e^2) times the minor axis, so for all the planets except Mercury the minor axis is more than 99½% of the major axis. The best way to draw an orbit is to ignore this small difference and draw a circle, and then place the Sun at the right distance off-centre.
How does the numerical value of e change the shape of an ellipse?
The eccentricity of an ellipse, e, is the ratio of the distance between the foci to the length of the semi-major axis. As e increases from 0 to 1, the ellipse changes from a circle (e = 0) to form a more flat shape until, at e = 1, it is effectively a straight line.
What is the eccentricity of the ellipse shown below?
Is it an invisible ellipse ... I can't see it
What is also known as the semimajor axis?
The major axis of an ellipse is its longest diameter, a line that runs through the center and both foci, its ends being at the widest points of the shape.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. It represents a "long radius" of the ellipse, and is the "average" distance of an orbiting planet or moon from its parent body.
The eccentricity of the ellipse if minor axis is equal to the distance between the foci is Answer is 1 radical 2 how?
The standard equation for an ellipse centered at the origin is [x2/a2] + [y2/b2] = 1 We also have the relationship, b2 = a2 - c2 where c is the distance of the foci from the centre and a & b are the half lengths of the major and minor axes respectively. When the length of the minor axis equals the distance between the two foci then 2b = 2c : b = c. Thus, a2 =b2 + c2 = 2b2 One of the formulae for the eccentricity of an ellipse is, e = √[(a2 - b2)/a2] Thus, e = √[(2b2 - b2) / 2b2] = √½ = 1/√2.
What is the orbit of the sun of mars?
Mars has an orbit round the Sun that has an average distance of 1.52 astronomical units from the Sun, that is 1.52 times the Earth's distance. The orbit is an ellipse with an eccentricity of 0.093, which means that the distance varies between 1.52 x (1 ± 0.093) AU. So the distance varies between 1.38 and 1.66 AU. The orbit looks like a circle with the centre offset from the Sun by a distance of 1.52 x 0.093 AU, or 0.14 AU (the difference between the major and minor axes of the ellipse is extremely small).
What is the name of the shape the earth makes when it is in the orbit around the sun?
ellipse An ellipse can be either a long cigar-type shape, or almost circular, depending on whether the eccentricity is large or small. The distance along the length is called the major axis, while the width is the minor axis. The planets' orbits have small eccentricity, and the eccentricity of the Earth's orbit is 1/60 which is very close to a circle but with the Sun off-centre. The distance is maximum and minimum at either end of the major axis, because the Sun is 2.5 million km off-centre, so the distance varies from 147.1 to 152.1 million km with an average of 149.6 million km. The major axis of the ellipse is 2 x 149.6 million kilometres, while the minor axis is 2 x 149.58 million km, which is only very slightly less, so the orbit is 99.99% circular.
What is the minimum eccentricity an elipse can have?
the minimum would be a zero. and a eccentricity of zero would be a circle because if it's a zero, you only have one point because there is no focal distance. if you have only one point to connect, it would be a circle. on the other hand, the maximum would be one; a line. because eccentricity is in a fraction/decimal form. the person before me wrote 7. that is not humanly possible, because that would mean a fraction like 700/100. and how can the focal distance be grater than the major axis?
