How does a spacecraft's speed change when the engine burns versus coasts?

"The VASIMR ® performs a slingshot pass or Oberth manoeuvre close to the Sun.With solar electric propulsion, the effect of the Oberth manoeuvre is boosted by using the high level of available solar energy to produce a sustained burst of high thrust."

"In fact the principle known as the Oberth Effect describes how a burn is most effective in accelerating a vehicle when it is conducted at the periapse of the spacecraft’s orbit."

"This trajectory provides enough kinetic energy to the probe within one AU to reach Jupiter orbit or beyond."

"The VASIMR ® powered solar Oberth manoeuvre reaches a speed > 60 kps at maximum velocity."

"the first burn decelerates the spacecraft resulting in a trajectory that takes it further into the gravity well of the central mass"

"after which the spacecraft coasts ballistically"

"The second burn is performed at the periapse of the new elliptical orbit and accelerates the spacecraft out of the gravity well of the central mass."

"Also known as an Oberth maneuver, it occurs when a spacecraft falls into the Sun’s gravitational well and performs an impulsive burn as it reaches its maximum speed."

"The deorbit burn, which involves Freedom's Draco thrusters, started at 10:46 a.m. EDT (1446 GMT) and is expected to last 9.5 minutes."

"a spacecraft can gain more kinetic energy from a manoeuvre when it is executed at higher speeds, typically at its closest to the centre of a celestial body it is orbiting"

"Ship will enter an approximately eight-hour coast phase. At the end of a nominal coast phase, the spacecraft will complete a deorbit burn to target a soft splashdown off the coast of Chile."

"The Freedom capsule's deorbit burn went as planned, wrapping up at 10:56 a.m. EDT (1456 GMT) after about 9.5 minutes."

"outweighing the losses due to the Oberth effect and necessitating immediate engine firing for the optimal fuel usage"

"Ship 41 has completed its first-ever orbital insertion burn an altitude of approximately 170 miles (275 kilometers)."

"Freedom undocked from the station on Wednesday morning (Oct. 7), kicking off a roughly 27-hour trip home to Earth."

"The Dragon capsule then floated free to begin a 2-day trip to the International Space Station."

"For small k, the ZK spiral is very similar to the trajectory obtained using a series of “patched conic orbits” produced by a series of impulsive burns, separated by long periods of ballistic free-flight paths"

"like a rock hurled into a long arc through the sky."

"After its burnout, at about i 140 miles altitude, the second and third stage combination will coast upward until it reaches the satellite’s orbit 300 miles above the earth"

"After approximately an hour of accelerating it is expected to need to coast for several hours to recharge its batteries, resulting in a relatively high frequency stop-go-stop thrust profile."

"required only about 30 minutes to travel to the Ascension Is Island"

"The second-stage engine was designed to burn for 2 minutes. ' boosting the rocket speed to 1 9,000 miles an hour, and would 1 sputter out at an altitude of about 130 miles."