Sunburn!

Sunburn! tells you the escape ship is already gone. Its official description gives the captain another task: gather the scattered crew, then head into the sun. Reuniting everyone in the sector comes before the final destination.

That changes what a successful route is trying to protect. The ending is fatal by premise, yet running out of oxygen can still leave someone drifting alone. The developer describes using a jetpack to move among planets while avoiding comets and gravity wells. The travel problem serves a reunion rather than a rescue from death.

There is no supported trajectory to prescribe from the description alone. What it does establish is a reason to care about order and remaining oxygen: reaching the destination without the crew would miss the stated purpose of the journey.

If you want a gravity puzzle with an unusually specific emotional objective, investigate the route that gathers everyone. The sun is not the surprising part after the introduction. Making sure nobody goes there alone is.