CL_ip_sphereInfluence

Description

• Computes the radius of the sphere of influence around one celestial body.

  The sphere of influence (SOI) is the spherical region around a celestial body where the gravitational effect of other bodies can be neglected.

  This is usually used to describe the region around planets in the solar system where it is possible to neglect the gravitational effect of the Sun.

Parameters

mu1:

Gravitational constant of body 1 (lightest) [km^3/s^2] (1xN or 1x1)

mu2:

Gravitational constant of body 2 (heaviest) [km^3/s^2] (1xN or 1x1)

dist:

Distance between the two bodies [m] (1xN or 1x1)

rsoi1:

Radius of sphere of influence around body 1 [m] (1xN)

Authors

• CNES - DCT/SB

Bibliography

• 1) Orbital Mechanics for engineering students, H. D. Curtis, chapter 8 (interplanetary trajectories)

Examples

// Example 1: Sphere of influence of the Earth mu1 = CL_dataGet("body.Earth.mu"); mu2 = CL_dataGet("body.Sun.mu"); dist = 1 * CL_dataGet("au"); rsoi1 = CL_ip_sphereInfluence(mu1,mu2,dist) // Example 2: Sphere of influence of all planets in the Solar system bodies = CL_dataGet("body"); mu1 = [bodies.Mercury.mu, bodies.Venus.mu, bodies.Earth.mu,.. bodies.Mars.mu, bodies.Jupiter.mu, bodies.Saturn.mu,.. bodies.Uranus.mu, bodies.Neptune.mu]; mu2 = bodies.Sun.mu; dist = [0.39, 0.73, 1, 1.52, 5.2, 9.5, 19.2, 30.7] * CL_dataGet("au"); rsoi1 = CL_ip_sphereInfluence(mu1,mu2,dist)