Is Earth slowing down in order to stay on its orbital track? 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?
As the Sun's mass is reduced and it's gravitational attraction is thus reduced the Earth will slowly spiral out from the Sun and yes slow down (to preserve angular momentum). But the effect is ridiculously small (do the math yourself) it will not be measurable directly.