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Solar Radiation Pressure (SRP) Force & Disturbance Torque Calculator

Solar photons striking spacecraft surfaces transfer momentum, generating continuous disturbance forces and torques.

Illuminated cross-sectional area (e.g. solar arrays).

Surface reflectivity (0 = absorbing blackbody, 1 = specular mirror).

Angle between surface normal and Sun vector.

Offset distance between center of pressure and center of mass.

Calculated Result
21.89 µN·m

SRP Disturbance Torque

Total Solar Force

87.55 µN

Force in Newtons

8.76e-5 N

Solar Flux Pressure

4.56 µN/m²

Calculation Breakdown

  1. Radiation ForceF = P_srp · A · (1 + q) · cos(θ) = 4.56e-6 · 12 · (1 + 0.6) · cos(0°) = 87.55 µN
  2. Disturbance TorqueT = F · (CP - CG) = 87.55µN · 0.25m = 21.89 µN·m

What Is the Solar Radiation Pressure (SRP) Force & Disturbance Torque Calculator?

Solar radiation pressure is the mechanical pressure exerted upon spacecraft surfaces by electromagnetic radiation from the Sun.

How Does the Solar Radiation Pressure (SRP) Force & Disturbance Torque Calculator Work?

Combines absorption and reflection photon momentum transfer equations at 1 AU (Solar constant 1361 W/m² / c = 4.56 µPa).

Solar Radiation Pressure (SRP) Force & Disturbance Torque Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

F = P_{ ext{srp}} A (1 + q) cos( heta), quad T = F cdot |mathbf{r}_{ ext{cp}} - mathbf{r}_{ ext{cg}}|

Photon momentum transfer force where P_srp = 4.56 µN/m² at 1 AU solar distance.

How to Use the Solar Radiation Pressure (SRP) Force & Disturbance Torque Calculator

  1. Enter surface area, reflectivity coefficient, solar incidence angle, and offset between center of pressure and center of gravity.

Step-by-Step Example Calculation

GEO Telecommunications Satellite Solar Array

Input Values:

surfaceAreaM2:12
reflectivityCoefficient:0.6
solarIncidenceAngleDeg:0
centerOfPressureOffsetM:0.25
Worked Steps: Solar force F = 87.6 µN; disturbance torque T = 21.9 µN·m accumulating ~1.89 N·m·s of momentum daily.

Understanding Your Result

Shows solar force in micro-Newtons and disturbance torque causing reaction wheel momentum buildup.

Factors That Affect the Result

  • Solar sailing utilizes high-reflectivity sails to turn SRP from a disturbance into propulsive thrust.

When Should You Use This Calculator?

  • GEO satellite stationkeeping propellant budgeting, deep-space trajectory modeling, and attitude momentum dumping planning.

Assumptions & Limitations

  • Assumes flat planar surface at 1 AU Earth distance; ignores thermal re-radiation Yarkovsky forces.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard astronautical solar radiation pressure formulation.

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