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2 years, 11 months ago

How fast is the mass of the sun decreasing? As the sun mass decreases does it energy production decrease also?

When will the decrease in the sun's mass make a difference in temperatures on earth? What will be the temperature of the sun in 600,000 years?
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badaspie | 2 years, 11 months ago
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The sun is constantly losing mass through two processes, nuclear fusion with conversion of mass to energy and the solar wind. The mass loss through fusion is easily calculated by plugging the sun's energy output (4 x 10^33 ergs per second) into Einstein's mass-energy equation:

4 x 10^33 erg/sec = m (3 x 10^10 cm/sec)^2

and the answer is around 4 x 10^12 grams per second. At this rate, it would take 160 billion years for the sun to lose 1% of its mass.

http://www.newton.dep.anl.gov/askasci/ast99/ast99441.htm

The current rate of mass loss from the solar wind is about 1-2 x 10^12 grams per second:

http://en.wikipedia.org/wiki/Solar_wind
http://hyperphysics.phy-astr.gsu.edu/Hbase/solar/solwin.html

and so the current rate of solar mass loss is 5-6 x 10^12 g/sec.

Despite this mass loss, the sun's energy output is gradually increasing over time. The accumulation of helium in the sun's core increases its density, which increases the rate of fusion in the surrounding hydrogen layer and increases the sun's overall energy output.

http://www.physicsforums.com/showthread.php?t=270276

However, the sun is also expanding very slowly:

http://eo.nso.edu/MrSunspot/answerbook/sun-evolution.html

which would cause the surface temperature to decrease (or at least increase more slowly than it would otherwise). Either way, 600,000 years is only 0.015% of the sun's remaining main-sequence life, so any temperature change at the sun's surface over that time would be insignificant.

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davepamn | 2 years, 11 months ago Report

Looking at the energy side:

E = 2x10^30 kg * (3x10^8)^2 m^2/s^2
E = 2x10^30 * 9x10^16 kg m^2 / s^2
E = 18x10^46 joules = 1.8x10^47 J

How did scientist calculate 4 x 10^33 ergs? What is an erg?

Is 4 x 10^33 ergs per second equivalent?

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davepamn | 2 years, 11 months ago Report

Hydrogen Burn rate:

4 x 10^12 grams per second (453 grams = 1 lb)
8,830,022,075 pounds per second
4,415,011 tons per second
264,900,662.3 tons per minute
1,5894,039,735 tons per hour
3.81457E+11 tons per day

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davepamn | 2 years, 9 months ago Report

This is the total amount of energy the sun could produce

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davepamn | 1 year, 12 months ago Report

Thanks
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dalek_sec | 2 years, 11 months ago
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1. Roughly 4 million tons are lost per second, although it's energy increases still. Estimated only 5 billion years' worth still left.

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