Aerospace Engineering

Gravity Turn Delta-V Loss Approximation for Launch Vehicles Calculator

Calculate gravity turn delta-v loss approximation for launch vehicles calculator given relevant engineering parameters.

Quick Answer

Calculate Gravity Turn Delta-V Loss Approximation for Launch Vehicles

Calculator

Delta-V loss due to gravity (m⁄s)
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Result Interpretation

Gravity Turn Delta-V Loss Approximation for Launch Vehicles Calculator computes Delta-V loss due to gravity in m/s using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Gravitational acceleration = 9.80665
  • Pitch angle at burnout = 0.785398
  • Burn time = 150

Expected Result:

  • Delta-V loss due to gravity = 430.84502268332

Engineering Interpretation:

Under the given input conditions, the calculated result is: Delta-V loss due to gravity = 430.84502268332 m/s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

delta-v loss due to gravity = gravitational acceleration * (1.0 - cos(pitch angle at burnout)) * burn time

Formula family: formula_aerospace_launch_vehicle_gravity_turn_trajectory_delta_v_loss_calculator

Variables

SymbolLabelRoleDescription
Gravitational acceleration Gravitational acceleration INPUT Gravitational acceleration
Pitch angle at burnout Pitch angle at burnout INPUT Pitch angle at burnout
Burn time Burn time INPUT Burn time
Delta-V loss due to gravity Delta-V loss due to gravity OUTPUT Delta-V loss due to gravity

Calculation Steps

  1. Enter the gravitational acceleration in m/s^2.
  2. Enter the pitch angle at burnout in rad.
  3. Enter the burn time in s.
  4. Step 1: Compute delta-v loss due to gravity.
  5. Read the delta-v loss due to gravity (m/s) from the results.

Engineering Summary

Calculate Gravity Turn Delta-V Loss Approximation for Launch Vehicles

Frequently Asked Questions

What does this calculator calculate?

The Gravity Turn Delta-V Loss Approximation for Launch Vehicles Calculator estimates Delta-V loss due to gravity based on the input parameters you provide

Why is gravitational acceleration important in this calculation?

gravitational acceleration is directly proportional to delta-v loss due to gravity. When you enter gravitational acceleration in m/s^2, the calculator uses it in the engineering formula to compute the output

How should I interpret the result delta-v loss due to gravity?

The calculator outputs delta-v loss due to gravity in m/s. To convert to km/h, multiply the result by 3.6. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Gravitational acceleration (m/s^2), Pitch angle at burnout (rad), Burn time (s). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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