1. My favorits
Try to get the distance earth-moon, earth-sun, Radius of earth, moon and sun.
Spectrum of stars, distance star-sun, sister or brother of our sun?
Variable stars, to make a diagram of brightness, to get the speed of the light.
The difference of the brightness of Jupiter
Other possibilities

2. Eratostenes How large is the radius of earth?
We only need the length of the shadow of a tower or house at a certain time. We need the distance of two locations. (Lissabon and Salzburg for example)

3. Aristarchos of Samos The distance earth-moon and earth-sun and the Radius of the moon and the sun
You need the rectangle during Half moon between moon-earth and sun-earth.

4. You need the time during a moon-eclipse:
Begin – full shadow
Full shadow
Full shadow – End

5. You can make images of the moon at different times with the same ocular:
You can conclude from the difference of the diameter of the moon to the difference of the distance moon-earth.

6. To make a spectrum

7. Spectrum and class of stars
A and B class, Sirius, Wega, Castor
F, G, K class: sun, Acturus, Pollux
M class: Beteigeuze, Antares, Mira

8. You make a spectrum of the brightest stars and you can look of the difference to our sun. Many stars with the same spectrum could be the sister or brother of our sun.
It is very difficult to get the speed of the stars in relation to our sun by the Doppler-effect.

9. But: If you measure the brightness of the star and you have the spectrum of the star you can say how far the distance of the star is.

10. Variable stars
19:00 Uhr bis 22:30 Uhr , CY Aquarii

11. The peak of brightness of this star is very exactly.
During the year the star has a difference of the peak of brightness of 1000 seconds.
The diameter of the eclipse is km.
Conclusion: The light has km/s.

12. Brightness of Jupiter
Use the same method to search for planets by a bright star.
It could be able to get information about the moons of Jupiter if you watch the difference of brightness of Jupiter when a moon stay in front of Jupiter.

13. Other possibilities How far can see my telescope?
Make images with an astro-CCD camera.
How far can see my eyes?
Stars with which magnitude can I see in my town, village, etc.

14. Influence of the sun and the moon on earth?

15. Watch an open Kugelsternhaufen by Faulkes-telescopes with different filters and put the stars in the HR-Diagram.

16. Watch galaxies by Faulkes-telescopes and look which types of galaxies are preferred.

17. Watch dwarf-planets by Faulkes-telescopes and try to get information about the distance to the earth. Which one are dangerous?

18. Use the radio telescope to get the speed of parts of the milky way.

19. Use the radio telescope to get a correlation between sun spots and the intensity of the radio radiation of the sun.

20. Thanks
Herbert