Clues:

1. Beta-9 is the furthest planet from the star.

=> Planet 7 = Beta-9

3. There are four planets between Beta-9 and Alpha-4.

=> Alpha-4 = Planet 2

2. There are three planets between Romulus and Alpha-4.

=> Romulus = Planet 6

4. There are four planets between Romulus and Skye.

=> Planet 1 = Skye

5. Dusty is between Remus and Felix.

=> Dusty = Planet 4

6. Felix is closer to the star than Remus.

=> Felix = Planet 3

Remus = Planet 5

Logic Grid

Now fill in the table with your answers.

Planet 1 is named Skye.

Planet 2 is named Alpha-4.

Planet 3 is named Felix.

Planet 4 is named Dusty.

Planet 5 is named Remus.

Planet 6 is named Romulus.

Planet 7 named Beta-9,