Massa de Jeans
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
Jeans
About this calculator
The Jeans Mass calculator is a tool used to calculate the critical mass of a gas cloud that can collapse under its own gravity. This mass is crucial in astrophysics, as it helps to understand the formation of stars and galaxies.
The formula used to calculate the Jeans Mass is based on the ideal gas equation of state and the universal law of gravitation. The Jeans mass (M_J) is approximately equal to (5kT/(Gm_p))^1.5·(3/(4πρ))^0.5, where k is the Boltzmann constant, T is the temperature, G is the gravitational constant, m_p is the proton mass, and ρ is the gas density.
The Jeans Mass is important in various astrophysical contexts, including star formation and galaxy evolution. It provides an estimate of the minimum mass required for a gas cloud to collapse under its own gravity and begin to condense into a star or other celestial object.
When using the Jeans Mass calculator, it is essential to be careful with the units used and ensure that the input values are accurate. Additionally, it is crucial to understand that the Jeans Mass is a theoretical estimate and may vary depending on several factors, such as the chemical composition of the gas cloud and the presence of magnetic fields.
Frequently asked questions
What is the Jeans Mass?
The Jeans Mass is the critical mass of a gas cloud that can collapse under its own gravity. It is important in astrophysics for understanding the formation of stars and galaxies.
How is the Jeans Mass calculated?
The Jeans Mass is calculated using the formula (5kT/(Gm_p))^1.5·(3/(4πρ))^0.5, where k is the Boltzmann constant, T is the temperature, G is the gravitational constant, m_p is the proton mass, and ρ is the gas density.
What are the applications of the Jeans Mass?
The Jeans Mass is important in various astrophysical contexts, including star formation and galaxy evolution. It provides an estimate of the minimum mass required for a gas cloud to collapse under its own gravity.
What precautions should I take when using the Jeans Mass calculator?
It is essential to be careful with the units used and ensure that the input values are accurate. Additionally, it is crucial to understand that the Jeans Mass is a theoretical estimate and may vary depending on several factors.
What affects the accuracy of the Jeans Mass?
The accuracy of the Jeans Mass can be affected by several factors, including the chemical composition of the gas cloud and the presence of magnetic fields.