Background info: 'Stacked' LNBFs for satellite TV are fairly common. Not quite as common as the more common switched voltage (13v/18v) polarity selection, but not uncommon. A 'Stacked' LNBF receives two polarities, either LHCP + RHCP for DBS, or vertical + horizontal for FSS. The two polarities are both down-converted at the same time to separate 500 MHz bands ('stacked' in the frequency domain), typically starting at 950MHz. They were invented so that many satellite TV receivers can easily share one satellite TV antenna (for apartments) and use only one cable and simple, cheap amplified splitters. The downside is that the distribution system needs to be 2.2 GHz compatible (instead of just 1.5 GHz). This is why most satellite TV RG-6 cable is marked "2.2GHz compatible".
If you're starting from scratch, you can use two crossed linear antennas and appropriately phased combiners to generate both LHCP and RHCP from one system.
All the above assumes that you want to keep to two signals separate. If you don't, then just use a linear antenna.
If you're in the Aerospace business, don't forget that your platform probably moves around quite a bit. Usually you'd need more than hemisphere coverage even for a large aircraft to account for pitch and roll. Smaller platforms might need spherical coverage (0 dBi). Apologies in advance if you know this already. Lots of system designers seem to forget that airplanes tend to manoeuver.
There are companies that sell active antenna combiners for UHF (300MHz) milsatcom (eg. QDC-100) if your application calls for it.
The optimum antenna technology depends heavily on frequency (that you haven't mentioned) and application. Crossed dipoles are common at the low end, steered Luneburg lenses can be used at the high end. Between are a thousand other choices.