1. What is a Star Temperature Calculator?

Definition: This calculator estimates the surface temperature of a star based on its peak emission wavelength using Wien's displacement law.

Purpose: It helps astronomers and physics students determine stellar temperatures from observational data.

2. How Does the Calculator Work?

The calculator uses Wien's Law formula:

Where:

• \( T \) — Temperature of the star (Kelvin, K)
• \( b \) — Wien's displacement constant (2.897 × 10⁻³ m·K)
• \( \lambda_{max} \) — Peak wavelength of emission (meters, m)

Explanation: The temperature is calculated by taking the fourth root of Wien's constant divided by the peak wavelength.

3. Importance of Star Temperature Calculation

Details: Knowing a star's temperature helps classify it, determine its color, and understand its life stage and composition.

4. Using the Calculator

Tips: Enter the peak wavelength in meters (e.g., 5.0 × 10⁻⁷ m for visible light). The value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Wien's displacement constant?
A: It's a physical constant that relates the black body temperature to the wavelength at which emission peaks (2.897 × 10⁻³ m·K).

Q2: How do I find a star's peak wavelength?
A: Through spectroscopic observations measuring the star's emission spectrum.

Q3: What temperature range does this work for?
A: This works for any black body radiator, from cool red stars (~3,000K) to hot blue stars (~30,000K).

Q4: Why does this formula use the fourth root?
A: The relationship between temperature and peak wavelength follows an inverse power law in Wien's displacement law.

Q5: Can this be used for non-stellar objects?
A: Yes, it works for any black body radiator, including planets, heated metals, or other thermal emitters.