1. What is Semi Minor Axis of Ellipse?

The Semi Minor Axis of an Ellipse is half of the length of the shortest diameter of the ellipse. It is perpendicular to the semi-major axis and passes through the center of the ellipse.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: This formula calculates the semi-minor axis of an ellipse using the latus rectum and semi-major axis measurements.

3. Importance of Semi Minor Axis Calculation

Details: The semi-minor axis is a fundamental parameter in ellipse geometry, used in various mathematical calculations, engineering applications, and astronomical measurements involving elliptical orbits.

4. Using the Calculator

Tips: Enter the latus rectum and semi-major axis values 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-minor axis and semi-major axis?
A: The semi-minor axis is always shorter than or equal to the semi-major axis in an ellipse. They are perpendicular to each other and intersect at the center.

Q2: Can the semi-minor axis be equal to the semi-major axis?
A: Yes, when the ellipse becomes a circle, both semi-minor and semi-major axes are equal.

Q3: What are typical applications of this calculation?
A: This calculation is used in astronomy for orbital mechanics, in engineering for elliptical designs, and in mathematics for geometric analysis.

Q4: Are there limitations to this formula?
A: This formula assumes a perfect ellipse and requires accurate measurements of both latus rectum and semi-major axis.

Q5: How is this different from other ellipse calculations?
A: This specific formula provides a direct relationship between the semi-minor axis, latus rectum, and semi-major axis, offering an alternative approach to ellipse parameter calculations.