Can anyone think of a scenario where a rocket boosted air to air interception occurs? Bonus points the closer to OTL the scenario is.
The Me163 wasn't rocket boosted, it was rocket powered. Perhaps splitting hairs I know, but there you have it.
Me 262 C-1a
Single prototype [made from Me 262A Werknummer 130 186] of rocket-boosted interceptor (Heimatschützer I) with Walter HWK 109-509 liquid-fuelled rocket in the tail, first flown with combined jet/rocket power on 27 February 1945.
Me 262 C-2b
Single prototype [made from Me 262A Werknummer 170 074] of rocket-boosted interceptor (Heimatschützer II) with two BMW 003R "combined" powerplants (BMW 003 turbojet, with a single 9.8 kN (2,200 lbf) thrust BMW 109-718 liquid-fuelled rocket engine mounted atop the rear of each jet exhaust) for boosted thrust, only flown once with combined jet/rocket power on 26 March 1945.
The reason why these versions were built seems to have been the fact that the Western Allies had begun to build or occupy airbases on the North Western European continent, which left the German air defences much less response time in the case of an attack than they had had when USAAF and RAF had airbases in Britain and Italy only.Me 262 C-3a
Heimatschützer IV - a rocket-boosted interceptor with a Walter HWK 109-509S-2 rocket motor housed in a permanent belly pack. Prototypes and initial production aircraft were captured before completion.