Package org.orekit.orbits

Class RichardsonExpansion

java.lang.Object

org.orekit.orbits.RichardsonExpansion

public class RichardsonExpansion
extends Object

Class implementing the Third-Order Richardson Expansion.

Since:

10.2

Author:

Vincent Mouraux

See Also:

"Dynamical systems, the three-body problem, and space mission design, Koon, Lo, Marsden, Ross"

Constructor Summary

Constructors

Constructor	Description
RichardsonExpansion(CR3BPSystem cr3bpSystem, LagrangianPoints point)	Simple Constructor.

Method Summary

Modifier and Type	Method	Description
PVCoordinates	computeHaloFirstGuess(double azr, LibrationOrbitFamily type, double t, double phi)	Calculate first Guess.
PVCoordinates	computeLyapunovFirstGuess(double ayr, double t, double phi)	Calculate first Guess.
CR3BPSystem	getCr3bpSystem()	Get the considered CR3BP system.
double	getHaloOrbitalPeriod(double azr)	Return the orbital period of the Halo Orbit.
LagrangianPoints	getLagrangianPoint()	Get the considered lagrangian point.
double	getLyapunovOrbitalPeriod(double axr)	Return the orbital period of the Halo Orbit.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

RichardsonExpansion

public RichardsonExpansion(CR3BPSystem cr3bpSystem,
                           LagrangianPoints point)

Simple Constructor.

Parameters:

cr3bpSystem - CR3BP System considered

point - Lagrangian Point considered

Method Detail

computeHaloFirstGuess

public PVCoordinates computeHaloFirstGuess(double azr,
                                           LibrationOrbitFamily type,
                                           double t,
                                           double phi)

Calculate first Guess.

Parameters:

azr - z-axis Amplitude of the required Halo Orbit, meters

type - type of the Halo Orbit ("Northern" or "Southern")

t - Orbit time, seconds (must be greater than 0)

phi - Orbit phase, rad

Returns:

firstGuess PVCoordinates of the first guess

computeLyapunovFirstGuess

public PVCoordinates computeLyapunovFirstGuess(double ayr,
                                               double t,
                                               double phi)

Calculate first Guess.

Parameters:

ayr - x-axis Amplitude of the required Lyapunov Orbit, meters

t - time

phi - Orbit phase, rad

Returns:

firstGuess PVCoordinates of the first guess

getHaloOrbitalPeriod

public double getHaloOrbitalPeriod(double azr)

Return the orbital period of the Halo Orbit.

Parameters:

azr - z-axis Amplitude of the required Halo Orbit, meters

Returns:

the orbitalPeriod

getLyapunovOrbitalPeriod

public double getLyapunovOrbitalPeriod(double axr)

Return the orbital period of the Halo Orbit.

Parameters:

axr - x-axis Amplitude of the required Lyapunov Orbit, meters

Returns:

the orbitalPeriod

getCr3bpSystem

public CR3BPSystem getCr3bpSystem()

Get the considered CR3BP system.

Returns:

CRR3BP system

getLagrangianPoint

public LagrangianPoints getLagrangianPoint()

Get the considered lagrangian point.

Returns:

lagrangian point