Path: FormationFlying/EccDynamics
% Integration constants for eccentric relative motion Compute integration constants for homogeneous solution to LTV diff eqs of relative orbit motion. -------------------------------------------------------------------------- Form: [D,dH,R] = FFEccIntConst( xH0, nu0, e ); -------------------------------------------------------------------------- ------ Inputs ------ xH0 (6,1) Initial state in Hills frame. Velocity terms are expressed as derivatives with respect to true anomaly, rather than time. nu0 (1) True anomaly (at initial state) [rad] e (1) Eccentricity ------- Outputs ------- D (6,1) Vector of integration constants dH (1) Integration constant found by setting H = 0 at nu0 R (6,6) State transition matrix -------------------------------------------------------------------------- References: Inalhan, Tillerson, How, "Relative Dynamics and Control of Spacecraft Formations in Eccentric Orbits", Journal of Guidance, Control & Dynamics, Vol.25, No.1, Jan-Feb 2002. --------------------------------------------------------------------------
FormationFlying: EccDynamics/FFEccRMat
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