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The Semi Major Axis of an Ellipse is half of the longest diameter of the ellipse. It is a fundamental parameter that defines the size and shape of the ellipse, running from the center to the perimeter along the longest dimension.
The calculator uses the formula:
Where:
Explanation: This formula calculates the semi major axis of an ellipse using its latus rectum and eccentricity, which are key parameters defining the ellipse's geometry.
Details: The semi major axis is crucial in orbital mechanics, astronomy, and various engineering applications as it determines the size and orbital characteristics of elliptical paths.
Tips: Enter the latus rectum in meters and eccentricity (a value between 0 and 1). Both values must be valid (latus rectum > 0, eccentricity between 0-1).
Q1: What is the relationship between semi major axis and eccentricity?
A: The semi major axis, along with eccentricity, defines the shape and size of an ellipse. Higher eccentricity values result in more elongated ellipses.
Q2: What are typical values for latus rectum in real-world applications?
A: Latus rectum values vary widely depending on the specific ellipse, from microscopic scales in optics to astronomical scales in planetary orbits.
Q3: Can eccentricity be exactly 1?
A: No, eccentricity values range from 0 (circle) to values approaching 1 (highly elongated ellipse), but never exactly 1 which would represent a parabola.
Q4: What units are used for these measurements?
A: The calculator uses meters for length measurements, but the formula works with any consistent unit system.
Q5: Are there limitations to this formula?
A: This formula is exact for perfect ellipses and assumes standard geometric properties. It may not apply to distorted or non-elliptical shapes.