1. What is the Semi Major Axis of Ellipse?

The Semi Major Axis of an Ellipse is half of the longest diameter of the ellipse. It extends from the center to the perimeter in the longest direction and is a fundamental parameter in defining the shape and size of an ellipse.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Semi Major Axis of Ellipse (m)
• \( b \) — Semi Minor Axis of Ellipse (m)
• \( l \) — Latus Rectum of Ellipse (m)

Explanation: This formula calculates the semi major axis using the semi minor axis and the latus rectum of the ellipse, which are related geometric properties.

3. Importance of Semi Major Axis Calculation

Details: The semi major axis is crucial for determining the size, shape, and various properties of an ellipse, including its area, eccentricity, and orbital characteristics in astronomical contexts.

4. Using the Calculator

Tips: Enter the semi minor axis (b) and latus rectum (l) in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between semi major axis and semi minor axis?
A: The semi major axis is always longer than or equal to the semi minor axis in an ellipse, with equality only in the case of a circle.

Q2: How does the latus rectum relate to the ellipse parameters?
A: The latus rectum is a chord through the focus perpendicular to the major axis, and its length is related to both the semi major and semi minor axes.

Q3: Can this formula be used for all types of ellipses?
A: Yes, this formula applies to all ellipses regardless of their orientation or eccentricity.

Q4: What are the units of measurement for these parameters?
A: While meters are commonly used, any consistent unit of length can be used as long as all inputs are in the same unit.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of ellipses, provided accurate input values are given.