1. What is the 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)
• \( e \) — Eccentricity of Ellipse (unitless)
• \( A \) — Area of Ellipse (m²)
• \( c \) — Linear Eccentricity of Ellipse (m)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the semi minor axis using the relationship between eccentricity, area, and linear eccentricity of an ellipse.

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 computations involving elliptical orbits.

4. Using the Calculator

Tips: Enter eccentricity (unitless), area in square meters, and linear eccentricity in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of values for eccentricity?
A: Eccentricity ranges from 0 (circle) to values approaching 1 (highly elongated ellipse).

Q2: How is linear eccentricity related to semi axes?
A: Linear eccentricity \( c = \sqrt{a^2 - b^2} \), where a is semi major axis and b is semi minor axis.

Q3: Can this formula be used for circles?
A: Yes, when eccentricity is 0, the formula simplifies appropriately for circles.

Q4: What are typical applications of this calculation?
A: Used in astronomy for orbital calculations, in engineering for elliptical designs, and in mathematics for geometric computations.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact when using precise input values and the exact value of π.