Thrust Vector Control (propulsion/rocket/thrust-vector-control)
Use when the task is sizing or analyzing a rocket thrust vector control
system: deflection-driven side force, control torque about the center
of gravity, axial thrust loss, and the actuator authority the gimbal
actuators must deliver.
Domain quick reference
- TVC mechanisms: a gimbaled engine or nozzle pivots the whole thrust
chamber on a gimbal bearing; a flex-seal nozzle bends a flexible
joint between the fixed and the movable nozzle sections (common on
solid rocket motors); jet vanes are heat-resistant vanes in the
exhaust stream; liquid injection injects a secondary fluid into the
diverging section to deflect the flow with an oblique shock.
- The deflection angle delta is the angle between the deflected thrust
vector and the vehicle axis.
- Side force: F_side = T * sin(delta), perpendicular to the vehicle
axis.
- Control torque about the center of gravity: M = F_side * L, where L
is the moment arm from the gimbal point to the center of gravity.
- Axial thrust loss from the deflection: T * (1 - cos(delta)); for
small angles this is about T * delta^2 / 2.
- Actuator authority has three components: angular authority (max
deflection), rate (deg/s, sets the achievable attitude bandwidth),
and torque (overcomes bearing friction, hinge moments, and inertia).
- TVC produces control force only while the engine thrusts, but it
works at zero dynamic pressure and in vacuum; aerodynamic control
surfaces produce force from q * S * CN and lose authority as dynamic
pressure falls, so upper stages rely on TVC alone.
- Practical deflection limits are roughly +/-5 to +/-15 deg; beyond
that the cosine loss and actuator loads grow quickly.
Workflow
- Collect the engine thrust T, the gimbal deflection angle delta, and
the moment arm L from the gimbal point to the center of gravity.
- Compute the side force with side_force(thrust, deflection_rad).
- Compute the control torque with control_torque(thrust,
deflection_rad, moment_arm).
- Compute the axial thrust loss with axial_thrust_loss(thrust,
deflection_rad) and the retained fraction with axial_thrust_ratio.
- Size the actuator: actuator_authority_required(required_torque,
moment_arm) gives the side force the actuator must deliver, and
deflection_angle_for_side_force gives the deflection needed for a
demanded side force; compare it with the actuator angular authority
to check saturation.
Pitfalls
- Routing nozzle flow questions here: area ratio, exit Mach, choked
mass flow, and ideal thrust belong to nozzle-design; TVC works with
the already-designed thrust vector.
- Routing aerodynamic control questions here: hinge moments, control
surface effectiveness, and aero control authority belong to the
control-surface-effectiveness and control-surface-sizing leaves;
TVC sizing is the thrust-driven analog.
- Routing delta-v and stage questions here: rocket equation, mass
ratio, and staging belong to rocket-sizing and rocket-staging; TVC
is attitude control, not trajectory energy.
- Using degrees in the trigonometry: the logic module takes radians;
convert deg * pi / 180 before calling.
- Dropping the cosine loss at large deflection: a 15 deg deflection
loses about 3.4% of the axial thrust, which matters for ascent
performance budgets.
- Mixing up the moment arm: the arm is from the gimbal point to the
center of gravity, not the nozzle length or the vehicle length.
- Assuming control without thrust: TVC produces no side force when the
engine is off; coast phases need other attitude control.
- Treating rate and torque as interchangeable: a slow high-torque
actuator cannot recover from a fast disturbance; both specs must
close the loop with the control law.
Behavior contract (gate 3)
The side force, control torque, axial thrust loss, deflection-for-
side-force, and actuator authority logic is exercised by the gate 3
contract test: scripts/test_thrust_vector_control.py against
scripts/thrust_vector_control_logic.py (stdlib unittest, offline).
Run:
python3 skills/propulsion/rocket/thrust-vector-control/scripts/test_thrust_vector_control.py
Compliance
- Standards referenced, not reproduced: ECSS is a free ESA download
(ecss.nl/standards); TVC force and torque geometry is standard
mechanics, summary-only per standards-map.yaml.
- compliance: STANDARDS-REF, gated: false.
1---2name: thrust-vector-control3description: Use when you must size or analyze a rocket thrust vector control (TVC) system: compute the side force from the engine thrust and the nozzle deflection angle, the control torque about the vehicle center of gravity from the side force and the moment arm, and the axial thrust loss from the deflection cosine, and size the actuator authority the gimbal actuators must deliver. Covers the TVC mechanisms: gimbaled engine or nozzle, flex-seal nozzle, jet vanes, and liquid injection, and contrasts thrust vector control with aerodynamic control surfaces for launch vehicles and upper stages. Produces the deflection angle, side force, control torque, axial thrust loss, and actuator sizing in consistent SI units. Trigger: thrust vector control, tvc, gimbal deflection, nozzle deflection, side force, control torque, axial thrust loss, actuator authority, jet vanes, flex-seal nozzle.4license: Apache-2.05---67# Thrust Vector Control (propulsion/rocket/thrust-vector-control)89Use when the task is sizing or analyzing a rocket thrust vector control10system: deflection-driven side force, control torque about the center11of gravity, axial thrust loss, and the actuator authority the gimbal12actuators must deliver.1314## Domain quick reference1516- TVC mechanisms: a gimbaled engine or nozzle pivots the whole thrust17 chamber on a gimbal bearing; a flex-seal nozzle bends a flexible18 joint between the fixed and the movable nozzle sections (common on19 solid rocket motors); jet vanes are heat-resistant vanes in the20 exhaust stream; liquid injection injects a secondary fluid into the21 diverging section to deflect the flow with an oblique shock.22- The deflection angle delta is the angle between the deflected thrust23 vector and the vehicle axis.24- Side force: F_side = T * sin(delta), perpendicular to the vehicle25 axis.26- Control torque about the center of gravity: M = F_side * L, where L27 is the moment arm from the gimbal point to the center of gravity.28- Axial thrust loss from the deflection: T * (1 - cos(delta)); for29 small angles this is about T * delta^2 / 2.30- Actuator authority has three components: angular authority (max31 deflection), rate (deg/s, sets the achievable attitude bandwidth),32 and torque (overcomes bearing friction, hinge moments, and inertia).33- TVC produces control force only while the engine thrusts, but it34 works at zero dynamic pressure and in vacuum; aerodynamic control35 surfaces produce force from q * S * CN and lose authority as dynamic36 pressure falls, so upper stages rely on TVC alone.37- Practical deflection limits are roughly +/-5 to +/-15 deg; beyond38 that the cosine loss and actuator loads grow quickly.3940## Workflow41421. Collect the engine thrust T, the gimbal deflection angle delta, and43 the moment arm L from the gimbal point to the center of gravity.442. Compute the side force with side_force(thrust, deflection_rad).453. Compute the control torque with control_torque(thrust,46 deflection_rad, moment_arm).474. Compute the axial thrust loss with axial_thrust_loss(thrust,48 deflection_rad) and the retained fraction with axial_thrust_ratio.495. Size the actuator: actuator_authority_required(required_torque,50 moment_arm) gives the side force the actuator must deliver, and51 deflection_angle_for_side_force gives the deflection needed for a52 demanded side force; compare it with the actuator angular authority53 to check saturation.5455## Pitfalls5657- Routing nozzle flow questions here: area ratio, exit Mach, choked58 mass flow, and ideal thrust belong to nozzle-design; TVC works with59 the already-designed thrust vector.60- Routing aerodynamic control questions here: hinge moments, control61 surface effectiveness, and aero control authority belong to the62 control-surface-effectiveness and control-surface-sizing leaves;63 TVC sizing is the thrust-driven analog.64- Routing delta-v and stage questions here: rocket equation, mass65 ratio, and staging belong to rocket-sizing and rocket-staging; TVC66 is attitude control, not trajectory energy.67- Using degrees in the trigonometry: the logic module takes radians;68 convert deg * pi / 180 before calling.69- Dropping the cosine loss at large deflection: a 15 deg deflection70 loses about 3.4% of the axial thrust, which matters for ascent71 performance budgets.72- Mixing up the moment arm: the arm is from the gimbal point to the73 center of gravity, not the nozzle length or the vehicle length.74- Assuming control without thrust: TVC produces no side force when the75 engine is off; coast phases need other attitude control.76- Treating rate and torque as interchangeable: a slow high-torque77 actuator cannot recover from a fast disturbance; both specs must78 close the loop with the control law.7980## Behavior contract (gate 3)8182The side force, control torque, axial thrust loss, deflection-for-83side-force, and actuator authority logic is exercised by the gate 384contract test: scripts/test_thrust_vector_control.py against85scripts/thrust_vector_control_logic.py (stdlib unittest, offline).86Run:87python3 skills/propulsion/rocket/thrust-vector-control/scripts/test_thrust_vector_control.py8889## Compliance9091- Standards referenced, not reproduced: ECSS is a free ESA download92 (ecss.nl/standards); TVC force and torque geometry is standard93 mechanics, summary-only per standards-map.yaml.94- compliance: STANDARDS-REF, gated: false.