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Astrophysics is where physics meets the universe. It blends the laws of nature with the grandeur of stars, galaxies, and space-time itself. With Moogle Math, you’re not just solving equations — you’re decoding the cosmos.
From understanding stellar motion to calculating orbital velocities or interpreting black hole dynamics, Moogle gives you accurate, structured solutions — instantly.
✅ Gravitational Forces & Orbits
✅ Kepler’s Laws of Planetary Motion
✅ Stellar Evolution & Nuclear Fusion
✅ Light Years, Redshift & Cosmic Distance
✅ Escape Velocity & Orbital Speed
✅ Black Hole Physics & Event Horizon Radius
✅ Luminosity, Apparent & Absolute Magnitudes
✅ Hubble’s Law & Expansion of the Universe
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📌 Gravitational Force & Orbits
Calculate the gravitational force between Earth and the Moon
Find the orbital speed of a satellite 400 km above Earth
🔭 Handles Large Units & Constants – Solar mass, AU, light-years, parsecs
📊 Step-by-Step Clarity – No guesswork, just clean calculations
🧠 Real-World Cosmic Problems – From planetary orbits to dark matter concepts
🪐 Versatile Input Recognition – Equation-based or conceptual questions
🌌 Supports Learning & Research – Useful from high school to grad-level
To get the best results from Moogle, follow these tips
Escape velocity from Earth’s surface
v_escape = sqrt(2GM/R) for Mars
Find the orbital period of a planet 1.5 AU from the sun
Kepler’s third law for Mars orbit
Calculate luminosity using Stefan-Boltzmann law: radius = 6.96e8 m, temperature = 5800 K
Find apparent magnitude from absolute magnitude and distance
Use Hubble’s Law to find distance: v = 7000 km/s, H = 70 km/s/Mpc
z = Δλ/λ = (λ_observed - λ_emitted)/λ_emitted
Calculate Schwarzschild radius for mass = 10 solar masses
r_s = 2GM/c^2 where M = 5e30 kg