Well, as I promised here are calculation that prove… in fact they don’t prove anything. Just interesting calculations =)
Some useful data from the reference books:
- Mass of the electron me = 9.109534 * 10-31
- Mass of the proton mp = 1.6726485 * 10-27
- Mass of the neutron mn = 1.6749543 * 10-27
All this is in kilograms. As the nucleus of atom consists of neutron and proton, we’ll get the mass of nucleus:
mz = mp + mn = 3.3476028 * 10-27 kg.
Now let’ see some data about solar system:
mSun = 1,99 * 1030 kg
And planets:
Mercury – 3,3 * 1023
Venus – 4,87 * 1024
Earth – 6,05 * 1024
Mars – 6,42 * 1023
Jupiter – 1,9 * 1027
Saturn – 5,68 * 1026
Uranium – 8,7 * 1025
Pluto – 1,47 * 1022
Let’s calculate the average mass o the planet. Why average? Because the mass of the electron given in a reference book is average:
mav = 2,9654 * 1026 kg
Now we can see in how many times the mass of the electron differs from the nucleus mass and in how many times the mass the average mass of the planet differs from the mass of the Sun:
A = mz / me = 3674.83 (it’s in atom)
C = msun / mav = 6710.73 (it’s in a solar system)
What conclusion can we make from the calculation? Not saying that nucleus and planets are the same, we can just say they are «almost similar», because the scales are tremendous, and a difference in ratios isn’t so large. But if we suppose that the masses of the «nucles» are the same – we obtain that planets are 2 times less than electrons.
Let’s view the diagram of masses of the planets of the solar system:
As we see from above – there are very little planets that even don’t appear at the diagram. Suppose that such little ones are present in atom as well. But yet we can’t detect them and see only electrons-giants (electrons «Jupiter», «Saturn» and so on)
Then let’s exclude the little planets mass in the calculation of the average planet mass.
We obtain:
Jupiter – 1,9 * 1027
Saturn – 5,68 * 1026
Uranium – 8,7 * 1025
mav2 = 6,6425 * 1026 kg
Then, the ratio of the mass of the sun to average planet mass is:
C2 = msun / mav2 = 2995.85
Recall, that for atom we obtained 3674.83.
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