- The Sun is losing some of its mass during explosions.
- The Gravitational force between Sun and Earth will change (probably decrease).
- If Earth maintains its speed, it will change its orbit.
- Hence, Earth will decelerate
Is this true?
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The sun is slowly losing mass, partly from the conversion of mass to energy (which then escapes as neutrinos and light) and partly from the solar wind (particularly in coronal mass ejections). Solar wind accounts for a loss of about 1.5 million tons per second, fusion accounts for 4 million tons per second. However compared to the mass of the sun (about 2 million billion trillion tonnes) it is tiny
The Earth isn't on rail tracks, so as the sun loses mass, it will change its orbit. Each year it moves about 1.6cm further from the sun, and since more distant orbits are slower, it will also slow down. After a billion years the Earth will have slowed to 99.999% of its current speed.