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The Semi Major Axis of an Ellipse is half of the longest diameter of the ellipse, extending from the center to the farthest point on the ellipse's perimeter. It is a fundamental parameter in describing the size and shape of an ellipse.
The calculator uses the formula:
Where:
Explanation: The semi major axis is calculated by dividing the linear eccentricity by the eccentricity of the ellipse.
Details: The semi major axis is crucial in determining the size, shape, and orbital characteristics of elliptical objects. It is widely used in astronomy, physics, and engineering applications involving elliptical motion and geometry.
Tips: Enter the linear eccentricity and eccentricity values in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the relationship between semi major axis and eccentricity?
A: The semi major axis, linear eccentricity, and eccentricity are related through the formula \( a = \frac{c}{e} \), where a is the semi major axis, c is the linear eccentricity, and e is the eccentricity.
Q2: What are typical values for semi major axis?
A: The semi major axis can vary greatly depending on the specific ellipse. In astronomical contexts, it can range from meters to astronomical units, while in engineering applications it might be in millimeters or centimeters.
Q3: How does semi major axis affect the ellipse's shape?
A: The semi major axis determines the overall size of the ellipse, while the eccentricity determines how elongated or circular the ellipse appears.
Q4: Can this formula be used for all types of ellipses?
A: Yes, this formula applies to all ellipses regardless of their specific dimensions or orientation.
Q5: What units should be used for input values?
A: The calculator accepts values in meters, but any consistent unit system can be used as long as both inputs use the same units.