Games like Periapsis: Gravity Slingshot
Games like Periapsis: Gravity Slingshot include Kerbal Space Program, Universe Sandbox, X4: Foundations, Stellaris, and Elite Dangerous. We matched them by the tags players give Periapsis: Gravity Slingshot on Steam (Space Sim, Simulation, Strategy, Space, and Physics): closest matches first, and among equally close ones the better-known games.

Kerbal Space Program
Shared: Simulation · Space · Space Sim

Universe Sandbox
Shared: Simulation · Space Sim · Space

X4: Foundations
Shared: Simulation · Space Sim · Space

Stellaris
Shared: Strategy · Space · Simulation

Elite Dangerous
Shared: Space Sim · Space · Simulation

Hardspace: Shipbreaker
Shared: Simulation · Space · Physics

Kerbal Space Program 2
Shared: Space · Exploration · Physics

Spaceflight Simulator
Shared: Space Sim · Simulation · Space

Dyson Sphere Program
Shared: Space · Simulation · Resource Management

Empyrion - Galactic Survival
Shared: Simulation · Space · Space Sim

SPORE™
Shared: Simulation · Space · Exploration

FTL: Faster Than Light
Shared: Strategy · Space · Sci-fi

No Man's Sky
Shared: Space · Exploration · Procedural Generation

Space Engineers
Shared: Space · Simulation · Physics

Space Haven
Shared: Strategy · Space · Simulation

Oxygen Not Included
Shared: Resource Management · Simulation · Strategy

Totally Accurate Battle Simulator
Shared: Simulation · Strategy · Physics

Solar Expanse - Space Exploration Manager
Shared: Simulation · Space · Physics

EVE Online
Shared: Space Sim · Exploration · Simulation

X Rebirth
Shared: Simulation · Space · Space Sim

Cities: Skylines
Shared: Simulation · Strategy · Resource Management

Cosmoteer: Starship Architect & Commander
Shared: Space · Space Sim · Strategy

Universe Sandbox
Shared: Simulation · Space · Physics

SpaceEngine
Shared: Space Sim · Space · Casual