Circular Restricted Three Body Solvers

Solvers specific to the Circular Restricted Three Body Problem.

Extended Help

Exports

• halo
• lyapunov
• monodromy

Imports

• AstrodynamicalCalculations
• AstrodynamicalModels
• Base
• Core
• DocStringExtensions
• LinearAlgebra
• ModelingToolkit
• OrdinaryDiffEq
• StaticArrays

extraplanar_differential(state, μ)

Given a full state vector for CR3BP dynamics, including vertically concatenated columns of the state transition matrix, return the differential correction term for a periodic orbit.

halo(x, z, ẏ, μ, T; reltol, abstol, maxiters)

Iterate on an initial guess for halo orbit conditions.

halo(μ, lagrange; amplitude, phase, hemisphere, kwargs...)

Given a nondimensional mass parameter μ, and orbit characteristics, construct an initial guess using Richardson's analytical solution, and iterate on that guess using a differential corrector.

lyapunov(x, ẏ, μ, T; reltol, abstol, maxiters)

Iterate on an initial guess for Lyapunov orbit conditions.

monodromy(
    u,
    μ,
    T;
    algorithm,
    reltol,
    abstol,
    save_everystep,
    kwargs...
)

Solve for the monodromy matrix of the periodic orbit.

planar_differential(state, μ)

Given a full state vector for CR3BP dynamics, including vertically concatenated columns of the state transition matrix, return the differential correction term for a planar periodic orbit.