Any object in a closed orbit moves slowest when it's at the point farthest away from the central body.
If the central body happens to be the sun, then the point in the orbit that's farthest from the sun is
called "aphelion". The earth passes aphelion on July 3 or 4.
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Earth moves slowest in its orbit when it is at aphelion, the point farthest from the Sun. At this point, the gravitational pull from the Sun is weaker, causing Earth to move more slowly in its orbit.
Earth's orbital velocity is slowest on July 5 because that is when Earth is at aphelion, its farthest point from the Sun in its elliptical orbit. At this point, the gravitational pull from the Sun is weaker, causing Earth to move more slowly in its orbit.
The speed of a satellite in an elliptical orbit around Earth varies depending on its distance from the planet. The satellite moves fastest at the point in its orbit closest to the Earth (perigee) and slowest at the point farthest from the Earth (apogee). The average speed of the satellite can be calculated using the vis-viva equation.
A planet moves slowest in its orbit when it is farthest away from the body it is orbiting, which is known as its aphelion. This is due to Kepler's second law of planetary motion, which states that a planet will move slower when it is farther from the body it orbits.
The planet that moves around the Sun the slowest is Neptune. Neptune takes about 165 Earth years to complete one orbit around the Sun.
If a satellite's velocity increased while in orbit around Earth, it would move into a higher orbit, farther away from the planet. This would result in an elliptical orbit with a higher apogee (farthest point) and a lower perigee (closest point) compared to its original circular orbit.