A Walk on the Weird Side
Follow the path and use the moving gravity platforms to get further up. At some point you will reach a Checkpoint Flag. Stamp on the blue switch next to reverse gravity for a short time. So you get to the green tube.
In this section, the force of gravity is reversed at regular intervals. Always wait to avoid getting to the electrical limits. Above the first moving platform you will also find the Comet Medal. Finally, follow the path to the right until you reach the Power Star.
Burning Upside Dizzy
This is a secret star!
For this secret star, choose “A Walk on the Weird Side”. Then run to the first moving platforms and run from the lower to the higher. Then move to the right to move to the lower platform. Now you can reach the green tube. Expose the orange tube with which you finally reach the Gearmo.
He gives you a Power Star if you destroy all the boxes with the Fire Flower within the time limit. That's pretty tricky. You will probably need several attempts until you have the bow finally out. A good method is to run forward to the left and work your way to the right. Just give everything you have and destroy them row by row in a straight line. That's how you can do it.
Comet Medal
In the section where gravity reverses periodically, look above the first moving platform. Use the active upward gravity to reach the medal without touching the electric boundary.
Green Stars — unlock requirement
Collect all 120 regular stars and defeat Bowser again to unlock the Green Star hunt. Choose the corresponding Green Star mission from this galaxy’s mission screen. Follow the detours below rather than collecting the normal mission’s ending star.
Green Star 1
About halfway through the starting course, find the star on the left of the blue gravity region near two moving pink regions. Drop into the pink field to rise, then time the next moving field so it carries you up into the star.
Green Star 2
A little farther along, climb onto the platform above the moving pink gravity region. Wait until that region reaches the far right, then wall-jump or backflip into the star at the blue area’s upper corner.
Check each numbered Green Star on the mission screen after collecting it. The routes finish immediately when the star is touched, including stars suspended over a gap.