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Orbital Delta V Calculator

Orbital Delta V Equation:

\[ \Delta v = \sqrt{2 \mu \left(\frac{1}{r_1} - \frac{1}{r_1 + r_2}\right)} \]

m³/s²
m
m

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1. What is Orbital Delta V?

Delta V (Δv) is the change in velocity needed for orbital maneuvers. It's a crucial parameter in space mission planning, determining the fuel requirements for spacecraft to change orbits.

2. How Does the Calculator Work?

The calculator uses the orbital delta-v equation:

\[ \Delta v = \sqrt{2 \mu \left(\frac{1}{r_1} - \frac{1}{r_1 + r_2}\right)} \]

Where:

Explanation: This equation calculates the delta-v needed for an instantaneous burn to raise an orbit from radius r₁ to r₁ + r₂.

3. Importance of Delta V Calculation

Details: Accurate delta-v calculations are essential for mission planning, determining spacecraft fuel requirements, and ensuring mission success.

4. Using the Calculator

Tips: Enter μ (gravitational parameter) in m³/s², r₁ (initial radius) in meters, and r₂ (height increase) in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard gravitational parameter (μ)?
A: μ is the product of the gravitational constant G and the mass of the celestial body. For Earth, μ ≈ 3.986×10¹⁴ m³/s².

Q2: Does this equation account for atmospheric drag?
A: No, this is a simplified equation for orbital maneuvers in vacuum. Atmospheric drag requires additional considerations.

Q3: Can this be used for interplanetary transfers?
A: This calculates simple orbital changes. Interplanetary transfers require more complex calculations like Hohmann transfer equations.

Q4: How does altitude relate to orbital radius?
A: Orbital radius r₁ = planet radius + altitude. Remember to add the planet's radius to altitude values.

Q5: What's a typical delta-v for low Earth orbit?
A: About 9.3-10 km/s to reach LEO from Earth's surface, plus additional for orbital maneuvers.

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