🛰️ Welcome to AstroSim AI!

Welcome, Mission Commander! Let's walk through your tools to study gravitational physics:

  1. Control Center (Left): Select presets, adjust masses, velocities, and choose which celestial body to spawn.
  2. Space Viewport (Center): Click and drag anywhere to define a launch vector and spawn bodies into orbit.
  3. AI Lab Partner (Right): Interact with Mission Control, get realtime updates, and speak directly to a tutor.
  4. Math Blackboard (Tab 2): Track live equations with actual values changing at 60 frames per second.

AstroSim AI

Interactive Gravitational Sandbox & AI Lab Partner

Mission Control: ACTIVE

Control Center

Object Spawner

Guided Physics Labs

Simulation Config

Active Lab Lab 1: Kepler's Ellipse
Bodies 2
G-Constant 6.674 × 10-11
Click on space to launch a body with the direction of the vector.
Mission Control AI
Welcome, Mission Commander! I am your AI Lab Partner.

We are currently studying Lab 1: Kepler's Elliptic Orbits. Look at the simulator: I have set up a planet orbiting a massive Sun.

Observe how the planet speeds up as it gets closer to the Sun. Why do you think that happens? Try asking me or spawn another planet to compare!

Real-time Gravitational Mechanics

Below are the live calculations computed by our physics engine inside the sandbox right now.

Newton's Law of Universal Gravitation
\[F_g = G \frac{M_1 \cdot M_2}{r^2}\]
Live Computation (Active Pair):
Select objects or let simulation run...
Gravitational Acceleration
\[g = G \frac{M_{central}}{r^2}\]
Local Acceleration Vector:
Calculating...
Orbital Velocity Formula
\[v = \sqrt{\frac{G \cdot M_{central}}{r}}\]
Theoretical circular velocity vs. Actual:
Calculating...