I would say that the trajectory is not elliptical whilst the rocket is actually accelerating because there is not just one central attracting force. This could be more and more relevant when propulsion systems start to use low thrust - long acceleration times.cjl said:When a rocket accelerates (in any direction, not just in the direction of travel), its new path will share the following characteristics:
Acceleration can cause the shape of an ellipse to change by altering its eccentricity. As the rocket accelerates, it gains speed and moves away from the center of the ellipse, thus increasing its eccentricity.
Yes, the direction of acceleration can also affect the shape of an ellipse. If the acceleration is perpendicular to the major axis of the ellipse, it can cause the ellipse to rotate, changing its orientation. This can also change the eccentricity of the ellipse.
The magnitude of acceleration can greatly impact the shape of an ellipse. A higher acceleration can cause the ellipse to become more elongated, while a lower acceleration can make it more circular. This is because the speed and distance from the center of the ellipse are directly related to its eccentricity.
Yes, the shape of an ellipse can change during constant acceleration. This is because the speed and distance from the center of the ellipse are constantly changing, which affects its eccentricity. However, if the acceleration is constant and the direction remains the same, the orientation of the ellipse will not change.
The change in shape of an ellipse can greatly impact the trajectory of a rocket. As the eccentricity increases or decreases, the orbit of the rocket will become more elliptical or more circular, respectively. This can also affect the altitude and speed of the rocket, ultimately changing its trajectory.