1: Φ = WUγ + RUρ + SUγUρ
2: W = -SUγΦ
3: AU = (GMek^-2)^1/3
4: n = Πr^2
For those that don't know Φ, γ, ρ and Π are the Greek letters phi, gamma, rho and pi respectively. (pi looks a bit odd on here...)
Also ^ signifies a power, so r^2 is r squared, and Me is supposed to have the e as a subscript not just a letter - therefore signifying the mass of the Earth (it was an e as far as I can tell).
All that follows from this point is working on the assumption that the equations actually mean something.
I don't recognise all of these equations straight off, with the exception of 4 (area of a circle).
We can assume that 1 is only there to tidy up 2, as phi appears in both but is the subject of 1. Now although it doesn't seem so from the equations in the video, I believe that the greek letters rho and gamma are subscripts of U - this implies that the multiple occurences of U represent different potential energies. Other than that I can't figure out where 1 and 2 are really going, but overall I figure W is a negative energy(ignoring the fact that W is 1 and phi is in 2, as this makes life very difficult).
3 is something to do with the gravitational constant, the mass of the Earth and Boltzmanns constant. My Physics in this area is a bit rusty, but the Boltzmann constant applies to gasses so it seems odd that it be included here - assuming of course that it is the Boltmann constant. For the sake of simplicity I'm going with Qhimm, I'll assume it's not the Boltzmann and just say that 3 is a gravitational accelleration.
A few more assumptions and we are done... from the fact that the area of a circle is included I'm going to assume that the whole thing is set in 2 dimensions rather than 3(I can't think of another reason the area of a circle would be involved). This is further supported by the potentials, if you assume rho and gamma refer to these dimensions. We can also assume that the prefixes of the potentials have some sort of meaning, S meaning the Sun perhaps. So the potentials are that applied by a specific body in the x or y (gamma or phi) direction.
In conclusion 1 and 2 string together to give the sum of the potentials (and therefore the attractive forces) of specific astral bodies (namely the Sun and other planets in the solar system), 3 gives the same but for the Earth and 4 just told us that it's working 2 dimensionally.
Basically its all the energy the solar system is transfering to and from that stupid asteroid that crashes into the Sun.
.