In order to determine the exact mass of the moon and the sun, one must first determine the exact mass of the Earth.
Keep, mass of the earth E and a piece of material m
Gets from the law of gravitational acceleration
E+m = g.R²/G Here, m is ignored, Got the actual value of g = 984.873 cm/s² which is shown in POST3.
So, the exact mass of the Earth is 6.017376182 × 10²⁷ grams.
The equation related to mass is
E + M = C × R³/T²
Here, mass of the earth E and mass of the moon M, Universal combined Constants C, E is stationary object and M is orbiting object. M moves round the E . Rotation period of moving object is T, The distance of The Moon from our Earth R.
R = 3,84,400 km
= 3.844 × 10¹⁰ cm.
T = 27.32166 days
= 2360591.5 seconds.

THE EXACT MASS OF THE MOON 
This solves the equation is
E + M = 6.057294887 × 10²⁷ grams.
So, the exact mass of the Moon is 3.9918705 × 10²⁵ grams.
In the case of the Sun, the equation would be exactly the same.
E + S = C.R³/T² Here,
R = 14,95,97,870 Km.
T = 365.2564 days
= 31558149.5 seconds. This solves the equation is
E + S = 1.99766 8537 × 10³³
grams.

THE EXACT MASS OF THE SUN ( 2020 ). 
So the exact mass of the Sun is 1.997662519 × 10³³ grams.
The ratio of the mass of the Sun to the Earth will be
S/E = 3,31,982.322 ~ 3,32,000
The ratio of the mass of the Earth to the Moon will be
E/M = 150.74077 ~ 151 Therefore,
S/E × E/M = 150.7407663 × 331982.322 Or,
S/M = 5,00,43,269.62 ~ 50043270
Or, S/M ~ 5.0 × 10⁷
The ratio of the mass of the Sun to the moon will be > 5 × 10⁷
So, we can generally say that the mass of the Sun is = 2.0 × 10³³ grams, the mass of the Earth is 6.0 × 10²⁷ grams and the mass of the Moon is 4.0 × 10²⁵ grams.
These values are determined by the new gravitational formula.
That is the formula
F = G.( M + m ).m/R² The value of G is taken from this formula.
With this mass formula it is possible to determine the exact mass of a small planet like mercury if we can give its exact distance from the Sun and the exact value of its orbital period.
Keep,mass of the Sun 》 S
mass of the Mercury 》M
Mercury moves round the sun . It's period of revolution is 》T
It's distance from the Sun is 》R, Therefore
S + M = C.R³/T²
S+M = 1.997662699 × 10³³ grams. Other hand , Mass of the sun 》S = 1.997662519 grams.
So M = 1.8 × 10²⁶ grams.
Here, T = 87.971 days
=(87.971 × 86400) seconds
R = 57909900 km
= ( 5.79099 ×10¹²) cm.
C = ( 5.942514607 × 10⁸ ). g.s²/cm³
In this way we can determine the exact mass of each celestial body in the entire solar system.
0 Comments