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I'm trying to simulate a gravity turn using a gimbaled thruster. I'm using the dynamical system described in a previous post of mine to execute a gravity turn by changing the angle $\phi_T$ between the thrust vector and the velocity vector $\phi_T$ by some number of degrees once the rocket reaches a certain height $h_{turn}$ and leaving the gimbal angle constant until burnout. After experimentation with a couple of rocket designs, I've found that I've needed quite large angles to make it happen (almost 45 degrees), and I don't think this is really feasible in reality.

So, I'm curious how the pitch-over program is actually executed in reality. For example, take the space shuttles. How large of a gimbal angle was needed to execute the gravity turn? Was it constant or did the angle change over time (like with an automatic control loop)? For how much time were the gimbals angled to produce the turn?

Is there a database showing the gimbal controls over time for different spacecraft to execute a gravity turn?

I'm trying to simulate a gravity turn using a gimbaled thruster. I'm using the dynamical system described in a previous post of mine to execute a gravity turn by changing the angle between the thrust vector and the velocity vector $\phi_T$ by some number of degrees once the rocket reaches a certain height $h_{turn}$ and leaving the gimbal angle constant until burnout. After experimentation with a couple of rocket designs, I've found that I've needed quite large angles to make it happen (almost 45 degrees), and I don't think this is really feasible in reality.

So, I'm curious how the pitch-over program is actually executed in reality. For example, take the space shuttles. How large of a gimbal angle was needed to execute the gravity turn? Was it constant or did the angle change over time (like with an automatic control loop)? For how much time were the gimbals angled to produce the turn?

Is there a database showing the gimbal controls over time for different spacecraft to execute a gravity turn?

I'm trying to simulate a gravity turn using a gimbaled thruster. I'm using the dynamical system described in a previous post of mine to execute a gravity turn by changing the angle $\phi_T$ between the thrust vector and the velocity vector by some number of degrees once the rocket reaches a certain height $h_{turn}$ and leaving the gimbal angle constant until burnout. After experimentation with a couple of rocket designs, I've found that I've needed quite large angles to make it happen (almost 45 degrees), and I don't think this is really feasible in reality.

So, I'm curious how the pitch-over program is actually executed in reality. For example, take the space shuttles. How large of a gimbal angle was needed to execute the gravity turn? Was it constant or did the angle change over time (like with an automatic control loop)? For how much time were the gimbals angled to produce the turn?

Is there a database showing the gimbal controls over time for different spacecraft to execute a gravity turn?

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How are rockets gimballed to produce a gravity turn for the space shuttle?

I'm trying to simulate a gravity turn using a gimbaled thruster. I'm using the dynamical system described in a previous post of mine to execute a gravity turn by changing the angle between the thrust vector and the velocity vector $\phi_T$ by some number of degrees once the rocket reaches a certain height $h_{turn}$ and leaving the gimbal angle constant until burnout. After experimentation with a couple of rocket designs, I've found that I've needed quite large angles to make it happen (almost 45 degrees), and I don't think this is really feasible in reality.

So, I'm curious how the pitch-over program is actually executed in reality. For example, take the space shuttles. How large of a gimbal angle was needed to execute the gravity turn? Was it constant or did the angle change over time (like with an automatic control loop)? For how much time were the gimbals angled to produce the turn?

Is there a database showing the gimbal controls over time for different spacecraft to execute a gravity turn?