The formula to calculate the Gamma Factor (γ) is:
\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{v^2}{c^2}\right)}} \]
Where:
The Gamma Factor (γ) is a dimensionless quantity in the theory of special relativity. It represents the factor by which time, length, and relativistic mass change for an object while that object is moving. The gamma factor increases as the object's velocity approaches the speed of light, leading to significant relativistic effects such as time dilation and length contraction.
Let's consider an example:
Using the formula to calculate the Gamma Factor:
\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100000^2}{299792458^2}\right)}} \approx 1.000000167 \]
This means that the Gamma Factor is approximately 1.000000167.