Damocles Mission (1983)

About Damocles Mission, from BoardGameGeek:

Ares Magazine #13. On 15 September 1988, a dark spherical object approximately 1.2 kilometers in diameter of unknown origin assumed a geosynchronous orbit over the Galapagos Islands. Upon orders of the president, an investigating shuttle mission was configured (code name Damocles)... Damocles Mission is a solitaire paragraph based game to explore the alien craft around the earth. Tiles will allow the player to expand the known area of the craft, and a variable handicap system at the end of each play will allow you to adjust the initial allocation of units for the next time to make it easier/harder.