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Optimal Trajectories
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Optimal trajectories are analysed, covering both constant- and variable-specific-impulse cases. Primer vector is defined and illustrated. The first-order necessary conditions for an optimal constant-specific-impulse (CSI) trajectory were first derived by Lawden using classical Calculus of Variations. Variable-specific-impulse rocket engines are discussed with the cost functional for a VSI engine. In the derivation that follows, an Optimal Control Theory formulation is used, but the derivation is similar to that of Lawden. One difference is that the mass is not defined as a state variable, but is kept track of indirectly.
Title: Optimal Trajectories
Description:
Optimal trajectories are analysed, covering both constant- and variable-specific-impulse cases.
Primer vector is defined and illustrated.
The first-order necessary conditions for an optimal constant-specific-impulse (CSI) trajectory were first derived by Lawden using classical Calculus of Variations.
Variable-specific-impulse rocket engines are discussed with the cost functional for a VSI engine.
In the derivation that follows, an Optimal Control Theory formulation is used, but the derivation is similar to that of Lawden.
One difference is that the mass is not defined as a state variable, but is kept track of indirectly.
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