How many different types of Hybrid engines in space could they be?

One example could be solar wave, and pulsed emission.

Another example could be rocket propulsion and ion drives.

One engine does the maneuvering while the other engine does the long haul etc

or designs that use more than two engines etc

some articles of interest

Spacecraft propulsion
NASA – New and Improved Antimatter Spaceship for Mars Missions
ADVANCED NEW ROCKET ENGINE unveiled by US Military
The EMdrive
Chinese Media Appear To Show Their “Impossible” EmDrive Thruster
The Impossible Propulsion Drive Is Heading to Space
Spacecraft propulsion
You tube The Spaceship Propulsion Compendium

> How many different types of Hybrid engines in space could they be?

Wow! What a question.

Conventional spacecraft, bog standard design, will often have two different propulsion systems. I’ve never hear of a spacecraft using three, but there probably have been some.

Let’s just stick to conventional spacecraft. Movement control from finest to coarsest tends to be:

• thermal radiation (includes solar sail)
• magnetic torque rod actuators (for satellites using the Earth’s magnetic field)
• reaction wheels (flywheel energy storage)
• cold gas propulsion (eg. nitrogen)
• ion drive (eg. xenon)
• monopropellant (eg. hydrazine)
• hypergolic bipropellant (eg. N2O4 + hydrazine)
• liquid fuel bipropellant (eg. LOX)
• solid fuel (eg. ammonium perchlorate)