Assume you have a sophisticated nuclear (thermal or whatever comes to mind) propelled spaceship for your summer vacation on Mars. Half way there Houston calls and informs you about an inbound solar storm.
Unfortunately, you bought your ship at "Honest John's used space ship and spare parts" and you have no radiation shelter on board. So in a desperate attempt to save you and your crew, you turn the ship so that the nuclear reactor points at the sun in the hope that its radiation shielding saves you from the solar storm.
- Is this in principle even possible, i.e. is the radiation emanating from a solar storm directed? Maybe when paired with additional magnetical shielding?
- Is it practically feasible, i.e. can you turn your ship in the time you have after a warning? Could you have your ship always pointing away from the sun?
- Is it economical, i.e. would there be additional requirements on the shielding of your nuclear reactor and would they outweigh a typical storm shelter? I know this depends on your reactor size, so I am just asking for order of magnitudes here.