1)
The wavelength of the matter wave (also called de Broglie wavelength) of an object is given by
where
is the Planck constant
m is the mass of the object
v is its velocity
For a proton, we have:
and the velocity of this proton is
So, its de Broglie's wavelength is:
2)
We can use again the same equation:
where in this case we have:
m = 159 kg is the mass of the astronaut + spacesuit
v = 377 m/s is the velocity of the astronaut
Substituting into the equation,
3)
Similarly, we can use the same equation:
where in this case we have: is the Earth's mass
is the velocity of the Earth around the Sun
Substituting,