ATRONOMY – ORBITAL MECHANIC (52) CALCULATOR
Solar Radiation Pressure
A precise tool.
What is the Solar Radiation Pressure & How does it work?
Solar radiation exerts a continuous pressure on any object exposed to sunlight. This pressure originates from the momentum carried by photons and is quantified by the solar radiation pressure (P), which at 1β―AU is approximately 4.56,mutext{N},text{m}^{-2}. When photons strike a spacecraft, part of their momentum is transferred to the vehicle. The effective force depends on the spacecraftβs crossβsectional area (A), its reflectivity coefficient (C_{r}) (which accounts for absorption and specular/diffuse reflection), and the distance from the Sun (r) because the solar flux decreases with the square of the distance. Dividing this force by the spacecraft mass (m) yields the acceleration due to solar radiation pressure, a small but nonβnegligible perturbation for highβarea, lowβmass missions such as solar sails.
a = frac{P_{0},C_{r},A}{m,r^{2}}
Pβ = solarβradiation pressure at 1β―AU (4.56Γ10β»βΆβ―Nβ―mβ»Β²)
Cα΅£ = reflectivity coefficient (dimensionless)
A = crossβsectional area (mΒ²)
m = spacecraft mass (kg)
r = distance from Sun (AU)
Cα΅£ = reflectivity coefficient (dimensionless)
A = crossβsectional area (mΒ²)
m = spacecraft mass (kg)
r = distance from Sun (AU)
Parameters
Result
β
Frequently Asked Questions
What is solar radiation pressure?
Solar radiation pressure is the force exerted by sunlight on objects in space, originating from photon momentum.
How do I calculate solar radiation pressure at 1 AU?
At 1 AU, solar radiation pressure is approximately 4.56 ΞΌN/mΒ².
What factors affect the effective force of solar radiation pressure on a spacecraft?
The effective force depends on the spacecraft’s cross-sectional area and its reflectivity coefficient.
How does photon momentum contribute to solar radiation pressure?
When photons strike a spacecraft, their momentum is transferred, creating a continuous pressure.
What is the significance of the reflectivity coefficient in this calculation?
The reflectivity coefficient accounts for how much light is reflected versus absorbed by the spacecraft.
Can solar radiation pressure affect the trajectory of a spacecraft?
Yes, over time, solar radiation pressure can alter a spacecraft’s trajectory due to continuous force application.
How does distance from the Sun affect solar radiation pressure?
Solar radiation pressure decreases with the square of the distance from the Sun.
Results are for informational purposes only and do not constitute professional advice.