Effect of Payload on Risk of Vehicle Loss Due to Engine Failure

A family of optimal-control problems for an NLS-type vehicle involving single engine failures has been solved. The solutions to these problems indicate that loading a vehicle under the assumption of a core engine out at launch may not be ideal. This study has partially quantified the added risk of additional payload by showing the maximum payload for various engine failure times. The ability to reoptimize trajectories midcourse in response to an engine loss coupled with a willingness to accept a degraded orbit, as an emergency measure, can result in much larger payloads for a given vehicle.