Orbital mechanics, rocket propulsion, satellite orbits, gravity assists, and atmospheric re-entry — interactive tools for space engineering.
— simulatorsQ: How are Hohmann transfer orbits calculated?
A: A Hohmann transfer uses two burns to move between circular orbits. Δv₁ = √(μ/r₁) × (√(2r₂/(r₁+r₂)) - 1) at the lower orbit; Δv₂ = √(μ/r₂) × (1 - √(2r₁/(r₁+r₂))) at the higher. Earth to Mars Hohmann Δv ≈ 2.9 km/s total.
Q: What is specific impulse (Isp)?
A: Isp = F/(ṁ×g₀) in seconds — thrust per unit weight flow rate of propellant. Higher Isp means more efficient propellant use. Chemical rockets: 250–460 s. Ion engines: 1000–10000 s. Isp = v_exhaust/g₀, so high exhaust velocity is key.
Q: How does atmospheric drag affect satellite orbits?
A: Drag force F = ½ρv²CdA. In LEO (200–400 km), residual atmosphere causes orbital decay. The International Space Station loses ~2 km altitude per month and must be reboosted. Satellites in higher orbits (>600 km) have lifetimes of centuries.
Q: What is the difference between GEO and LEO?
A: LEO (160–2000 km): low latency (~20 ms), small footprint, needs many satellites for coverage. GEO (35,786 km): stationary over one point, covers ⅓ of Earth, latency ~240 ms. MEO (GPS, 20,200 km) is between. Each orbit is optimal for different applications.