Launching Peregrine into (sub)orbit
No special launchpad or launch system would be needed or utilized for Peregrine. It would launch from landing-pad-like structures. There would be no flame trench or any traditional launch infrastructure, only a small tower and arm for allowing humans to board the spacecraft, as well as a robotic arm that automatically navigates to and connects to the propellant ports and electricity port on the spacecraft to refill its tanks and recharge its batteries before launching its next batch of humans on a suborbital trajectory.
Solar Power
Zero solar panels are on the Peregrine spacecraft. Instead, there is a solar "farm" at every Martian city. When Peregrine lands on a landing pad, it will be recharged via solar panels before launching again. And because the Peregrine trips (while on a suborbital trajectory) are so short (under 35 mins), there is pretty much zero chance of the spacecraft running out of electricity.
Engines
Peregrine has three engines with large bell nozzle endings, in the aft section. The nozzle is overexpanded. For those who are uneducated on this topic: If the pressure of the exhaust gases leaving the rocket engine nozzle exit is above ambient pressure (outside atmospheric pressure), then a nozzle is said to be underexpanded (the exhaust gases further expand after leaving the nozzle); if the exhaust is below ambient pressure, then it is overexpanded, and the gases get physically crushed inwards on itself after exiting the engine nozzle. Slight overexpansion causes a slight reduction in efficiency, but otherwise does no harm. The same applies to underexpansion, but it wouldn't seem reasonable in the case of Peregrine. In Peregrine's case, the nozzle is overexpanded to the absolute limit. This, as mentioned, reduces engine efficiency at sea level, but greatly increases efficiency in a vacuum or when atmospheric/ambient pressure is very low relative to the ambient pressure at sea level. To simplify, when in outer space/in a vacuum, engine efficiency is increased as a result of nozzle overexpansion. This makes an overexpanded nozzle ideal for Peregrine. The engines use coaxial swirl propellant injectors and are powered by Liquid Methane and Liquid Oxygen, together making a propellant informally referred to as Methalox, both produced on the surface of Mars by robots, via the Sabatier process. The engines utilize the combustion tap-off cycle, where a small amount of hot, high velocity, expanding gases are redirected from the combustion chamber to spin the turbopumps for the engine. Because there are no gases in the combustion chamber before the engine starts, meaning there are no physical gases to power the turbopumps for them to spin, the turbopumps are initially started via a battery/electric motors, charged by solar every time Peregrine is one the ground. After the turbopumps are initially started via battery, and a stable combustion is achieved in the combustion chamber, the computer would tell the engines to switch to its regular combustion tap-off cycle to power and sustain the spinning of the propellant turbopumps.
Attitude Control System
Peregrine primarily controls its attitude (also known as physical orientation) via mechanical reaction wheels, powered by electricity. Excess gases (aka/or ullage gas) inside of the propellant tanks may also be used for attitude control (by taking some of this gas and redirecting it to an ACS/attitude control system port).
Thermal Protection System
Rather than using a simple ablative heatshield for atmospheric re-entry, which was/is traditionally used by spacecraft of NASA, Boeing, CNSA, and more, Peregrine utilizes a thermal protection system made up of many individual heat shield tiles which absorb and radiate heat during atmospheric re-entry. The reason for this is, Peregrine is designed to be fully re-usable just like your average Earth aircraft. If such a heat shield (an ablative one which ablates material as it burns up during re-entry) were to be utilized for Peregrine, it would, for necessary safety reasons, have to be replaced after every single flight. This is expensive and is a waste of resources, and is not sustainable in the long-term. That is why re-usable heat shield tiles, made of silica ceramics, are utilized instead of non-reusable ablative heat shield materials. They can be re-used every flight and only require replacement/repairs if a tile is damaged. And, if one tile breaks, you can simply replace it. The whole heat shield will not have to be replaced - only the single tile that broke, and possibly the localized area. Inspections would take place routinely to ensure the robustness of each heat shield tile. These tiles would be inspected by artificial intelligence via the use of cameras, sensors, and more. Humans would also likely conduct routine inspections on each Peregrine vehicles. We have not come to a definitive conclusion on how often these human inspections would take place, but analyzation of the integrity of the rocket structure and heat shield tiles would take place during flight and when on the ground by computer software, sensors, and cameras, powered by artificial intelligence algorithms. Additionally, in the case of a cracked heat shield tile being detected mid-flight (or some other major structural problem being detected), Peregrine would have enough propellant to boost itself into a low-Mars orbit to await a rescue mission shortly after, from a dedicated rescue spacecraft for Peregrine, where humans would be transferred to it via the docking port and brought back down to the surface of Mars.
Communications and flight control
The spacecraft would communicate with other spacecraft and ground stations primarily by using radio signals, to avoid collision or flybys of other Peregrine vehicle or satellites. Unlike an airplane and some spacecraft capsules, nobody "flies" or "controls" Peregrine. The computer controls everything from launch to landing to propellant refilling to precise adjustments in attitude. This makes Peregrine pretty much 100% autonomous. This makes a newly-made physical human error during flight impossible, further increasing your safety in many aspects. Ground stations would be located near every major Martian city, and a satellite network around Mars would further be utilized for strengthened and more reliable connection for data transmission.
Peregrine Abort System
Unlike many rockets we know today, such as the Space Launch System by NASA, Falcon 9, etc, Peregrine does not feature a designated abort system for during the initial launch phase. For those who don't know what a spacecraft abort system is, it's a system that essentially pulls the "capsule" away from the main rocket body (where all of the tanks and electronics are) in case something were to go wrong with it (ex: it starts breaking up, a fire starts, a leak forms, a crack forms, etc). Peregrine, ignoring the fact that it doesn't even feature a separate "capsule" structure, would have been tested so many times in every way possible before flying humans that such an anomaly would essentially become a near-impossibility. However, in the event of a major system failing during launch or landing, there are 12 gravity-deployed legs with crush-cores (they crumble in a controlled manner on impact) as well as 3 parachutes. These crush core legs and parachutes are not expected to be used, but are only used if necessary in the extremely unlikely event of a major system failure causing the vehicle to lose control in some way and tumble into the atmosphere.
The visual side of things
Peregrine does look a little cool compared to other spacecraft from the past and ones being developed currently. It's designed to look at least somewhat cool while still being quite efficient. Though this spacecraft is, as mentioned, pretty efficient, some small amount of efficiency is sacrificed for the vehicle to look cool, at least for now. As Peter Beck, CEO and Founder of Rocket Lab once said, "I have a saying at Rocket Lab: Make everything you do a work of art, if it is beautiful and does not work, at least it is beautiful, if it looks like crap and does not work you have achieved nothing!" We don't want a spacecraft vehicle to look dull, stupid, and boring, even if it is extremely successful in its history and is extremely efficient, because humans are emotional creatures that like cool things, so we want to make Peregrine look at least a bit cool. This aligns with our ultimate goal of increasing the average level of happiness within humanity, because even small things like the visual design of Peregrine positively affects/raises the mood of people.
Launch/Landing Pad
A "dual pad" is the type of central spacecraft pad which functions for both the launch and landing of a spacecraft, created by Atmos. This is the type of pad that the Peregrine Vehicle would utilize, with many dual pads being located at each major Martian city, and this dual pad is used for both launch and landing. No separate launch or landing pad is present. Both of them are combined to make up the "dual pad". To refill Peregrine's propellant tanks and charge its onboard batteries without moving Peregrine, a robotic arm fixed to the launch/landing pad deploys and connects on its own, to Peregrine. The propellant tanks will then be completely filled, and the batteries completely charged, followed by arm retraction, and launch of Peregrine. All of this occurs on the launch/landing pad. These pads are present on Earth, Mars, the Moon, and where ever else Peregrine travels to, but would initially be present at major Martian cities.